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INTRODUCTORY MATHEMATICS I MAH 101

1 The Alabama College System

Copyright 2004 All Rights Reserved

Alabama Department of Postsecondary Education

Representing the Alabama Community College System

REID STATE TECHNICAL COLLEGE

I. COURSE PREFIX, NUMBER, TITLE MAH 101 OLH – INTRODUCTORY MATHEMATICS I II. COURSE HOURS

3 Credit hours

3 Theory credit hours

0 Lab credit hours

0 Clinical credit hours

3 Contact hours

III. CLASS MEETING DATES/TIMES/LOCATION TBA IV. CLINICAL DATES/TIMES/LOCATION None V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE HOURS/LOCATION Steven Preyear Library, Room 209 Office: (251) 578-1313 EXT. 211 Email: [email protected] Office Hours: See attached schedule

mailto:[email protected]




VI. COURSE DESCRIPTION: This course is a comprehensive review of basic arithmetic and algebra designed to meet the needs of certificate and diploma programs. Topics include business and industry related arithmetic and geometric skills used in measurement, ratio and proportion, exponents and roots, application of percent, linear equations, formulas, and statistics. Upon completion, students should be able to solve practical problems in their specific occupational areas of study. This course does not satisfy general education requirements for the associate degree, but may be used for technical credit.

VII. PREREQUISITE(S)/CO-REQUISITE(S) Prerequisites: Satisfactory placement score Co-requisites: None VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES Basic Mathematics by Bittinger (12th ed., Addison Wesley); MyMathLab access code IX. PROFESSIONAL COMPETENCIES/OBJECTIVES

Upon completion of this course, the successful student will: A. Compute whole numbers. B. Compute fractions. C. Compute decimals. D. Write ratios in simplest form. E. Solve proportions. F. Convert among fractions, decimals, and percents. G. Solve percentage problems. H. Solve applied problems involving whole numbers, fractions, and decimals. I. Solve percentage problems involving sales tax, commission, and discount. J. Solve simple interest problems. K. Solve equations involving whole numbers, fractions, and decimals. L. Simplify numerical expressions using the order of operations. M. compute averages, medians, and modes for sets of data. N. Interpret and construct tables, pictographs, bar graphs, line graphs, and circle graphs. O. Convert English and metric measures. P. Compute area and perimeter of various geometric shapes. Q. Solve right triangles using the Pythagorean Theorem. R. Compute volume of various geometric shapes.




X. OUTLINE OF MODULES A. Operations of the Whole Numbers 1. Standard Notation 2. Addition 3. Subtraction 4. Rounding and Estimating; Order 5. Multiplication 6. Division 7. Solve Equations 8. Applications and Problem Solving 9. Exponential Notation and Order of Operations B. Fractional Notation: Multiplication & Division 1. Factorizations 2. Divisibility 3. Fractions 4. Multiplication and Applications 5. Simplifying 6. Multiplying, Simplifying, and Applications 7. Division and Applications C. Fractional Notation and Mixed Numbers 1. Least Common Multiples 2. Addition and Multiplication 3. Subtraction, Order, and Applications 4. Mixed Numerals 5. Addition and Subtraction Using Mixed Numerals; Applications 6. Multiplication and Division Using Mixed Numerals; Applications 7. Order of Operations; Estimation D. Decimal Notation 1. Decimal Notation, Order, and Rounding 2. Addition and Subtraction with Decimal Notation 3. Multiplication with Decimal Notation 4. Division with Decimal Notation 5. Converting from Fractional Notation to Decimal Notation 6. Estimating 7. Applications and Problem Solving E. Ratio & Proportion 1. Introduction to Ratios 2. Rates and Unit Prices 3. Proportions 4. Applications of Proportions 5. Similar Triangles F. Percent Notation 1. Percent Notation 2. Percent Notation and Fractional Notation




3. Solving Percent Problems Using Equations 4. Solving Percent Problems Using Proportions 5. Applications of Percent 6. Consumer Applications: Sales Tax, Commission, and Discount 7. Consumer Applications: Interest G. Data Analysis, Graphs, and Statistics 1. Averages, Medians, and Modes 2. Tables and Pictographs 3. Bar Graphs and Line Graphs 4. Circle Graphs 5. Data Analysis and Predictions H. Geometry & Measures: Length & Area 1. Linear Measure: American Units 2. Linear Measure: The Metric Units 3. Perimeter 4. Area 5. Ares of Parallelograms, Triangles, and Trapezoids 6. Circles 7. Square Roots and the Pythagorean Theorem I. More Geometry Measures 1. Volume and Capacity 2. Volume of Cylinders, Spheres, and Cones 3. Weight, Mass, and Time 4. Temperature 5. Converting Units of Area 6. Angles and Triangles XI. EVALUATION AND ASSESSMENT

Chapter Tests……..75% Final Exam………..25%

HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Homework will be averaged together at the end of the semester to make up another test grade. CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. FINAL EXAM: The final exam is comprehensive.




Grades will be awarded according to the standard scale 90-100……A 80-89……..B 70-79……..C 60-69……..D Below…….F

XII. ATTENDANCE

a. Students are expected to attend all classes for which they are registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from the class before poor attendance interferes with the student’s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid. Withdrawal from class can prohibit progression in nursing and allied health programs.

b. Students are expected to attend all clinical rotations required for each

course. Only excused absences will be considered for make-up. However, due to limited clinical space and time, clinical make up days cannot be guaranteed. Failure to complete clinical rotations will prohibit progression in nursing and allied health programs.

c. If a student accumulates five (5) consecutive absences and has not

contacted the instructor, then the student will be withdrawn from the class by the instructor.

XIII. STATEMENT ON DISCRIMINATION/HARASSMENT

The College and the Alabama Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated,

XIV. AMERICANS WITH DISABILITIES

The Rehabilitation Act of 1973 (Section 504) and the American with Disabilities Act of 1990 state the qualified students with disabilities who meet the essential functions and academic requirements are entitled to reasonable accommodations. It is the student’s responsibility to provide appropriate disability documentation to the College. Please contact the ADA representative.




XV. COURSE CALENDAR – FALL 2017 SEE MML for assignments and due dates.




XVI. STUDENT ACKNOWLEDGEMENT FORM I have been presented with my personal copy of MAH 101 OLH Course Syllabus. I have read and studied the MAH 101 OLH course standards and requirements contained in the course syllabus. I understand that to receive credit and an acceptable grade in MAH 101 OLH, I must fulfill all of these requirements. Student Signature:___________________________________Date:______________ Print Your Name:________________________________________________________ EMAIL:________________________________________________________________ HOME PHONE:_________________________________________________________ WORK PHONE:_________________________________________________________

The Alabama College System Copyright2004

All Rights Reserved

Alabama Department of

Postsecondary Education


REID STATETECHNICALCOLLEGE

I. COURSE PREFIX,NUMBER,TITLE MTH 090–Basic Mathematics

II. COURSEHOURS

3 Credit hours


0 Lab credit hour

0 Clinical credit hour

3 Contact Hours

III. CLASSMEETINGDATES/TIMES/LOCATION 7:50 a.m. – 9:05 a.m. Wednesday & Thursday Building LIB RM215

IV. CLINICALDATES/TIMES/LOCATION(None)

V. INSTRUCTOR,CONTACT INFORMATION,CONTACT POLICY,OFFICE

HOURS/LOCATION Steven Preyear Office Location: Bldg. LIB RM209 Contact Phone: (251)578-1313 ext.211 Email: [email protected] Office Hours: See attached schedule


Basic Mathematics MTH 090

The Alabama College System Copyright 2004

All Rights Reserved

2

VI. COURSEDESCRIPTION: This is a developmental course reviewing arithmetical principles and computations designed to help the student's mathematical proficiency for selected curriculum entrance.

VII. PREREQUISITE(S)/CO-REQUISITE(S)

Prerequisites: None

Co-requisites: None

VIII. TEXTBOOK(S)ANDOTHER LEARNINGRESOURCES Tobey, John &Jeffrey Slater, Basic College Mathematics,7thed., Prentice Hall, MyMathLab access code

IX. PROFESSIONAL COMPETENCIES/OBJECTIVES

To be able to read, write, add, subtract, multiply and divide whole numbers; apply the properties to real-life situations

To understand fractions and to be able to convert improper fractions and mixed numbers; reduce fractions to the lowest term; express fractions in higher terms; find the lowest common denominator (LCD); add, subtract, multiply and divide fractions

To be able to write decimals in word form; round; add, subtract, multiply and divide decimals; convert fractions to decimals; change decimals to fractions

To be able to evaluate fractional expressions using the order of operations

To be able to evaluate fractional expressions using the order of operations

To understand prime factorization and its use with fractions

To be able to estimate and solve applied problems involving decimals

To be able to write fractions and decimals as percent; solve problems using percents; apply percents in practical situations

To be able to explain the meaning of the term ratio, rate and proportion; write ratios in lowest terms; solve direct and indirect proportion problems; use ratios, rates and proportions in real- life situations

X. OUTLINEOFMODULES

A. Whole Numbers 1. Understanding Whole Numbers 2. Adding, Subtracting, Multiplying and Dividing Whole Numbers 3. Exponents and Order of Operations 4. Rounding and Estimating 5. Solving Applied Problems Involving Whole Numbers

B. Fractions



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3

1. Understanding Fractions 2. Simplifying Fractions 3. Converting Improper Fractions and Mixed Numbers 4. Multiplying Fractions and Mixed Numbers 5. Dividing Fractions and Mixed Numbers 6. Review Problems 7.The Least Common Denominator and Equivalent Fractions 8. Adding and Subtracting Fractions 9. Adding and Subtracting Mixed Numbers 10.Order of Operations 11.Solving Applied Problems Involving Fractions

C. Decimals 1. Using Decimal Notation 2. Comparing, Ordering, Rounding Decimals 3. Adding and Subtracting Decimals 4. Multiplying Decimals 5. Dividing Decimals 6. Converting to Decimals and Order of Operations 7. Estimating and Problem Solving Involving Decimals

D. Ratio and Proportion 1. Ratios and Rates 2.The Concept of Proportions 3. Solving Proportions 4. Solving Applied Proportion Problems 5. Review Problems

E. Percent 1. Understanding Percent 2. Changing Between Percents, Decimals, and Fractions 3. Solving Percent Problems Using Equations 4. Solving Percent Problems Using Proportions 5. Solving Applied Percent Problems 6. Solving Commission, Percent of Increase or Decrease, and

Interest Problems 7. Review

XI. EVALUATIONANDASSESSMENT

Chapter Tests…..75% Final Exam……25%

HOMEWORK: Homework will be completed using MyMathLab. A deadline will be given for each assignment. Students may continue to work on homework assignments after the due date has passed, but a 10% grade reduction will be applied to those problems completed after the due date. Homework grades will be averaged together at the end of the semester to count as another test grade.



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4

QUIZZES: Quizzes will be assigned through MyMathLab. A deadline will given for each Quiz. Students will be given two attempts per Quiz. Quizzes will be averaged together at the end of the semester to make up another test grade. CHAPTER TESTS: There will be at least SIX(6) tests given during the semester. All tests will be assigned through MyMathLab.

FINAL EXAM: The final exam is comprehensive.

Grades will be awarded according to the standard scale: 90-100…..A 80-89........B 70-79……C 60-69……D Below60..F

. COURSE REQUIREMENTS: Each student is required to do the following: 1) attend each class meeting unless there is a valid excuse, 2)arrive on time, 3) participate in class activities, 4) take each chapter test as scheduled,5) show all work on assignments required and tests in order to receive full credit, 6) keep a notebook with pencils,7) purchase individual textbook.

XII. ATTENDANCE a. Students are expected to attend all classes for which they are

registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from that class before poor attendance interferes with the student’s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid. Withdrawal from class can prohibit progression in nursing and allied health programs.

b. Students are expected to display responsible judgment in regard to

class attendance. Faculty members are expected to keep accurate records of attendance in all classes, recording all absences and tardiness, including those due to late registration or change of course. It is also the student’s responsibility to keep a record of his/her absences and tardiness. Students may be expected to telephone the instructor when absent or tardy as required by an individual instructor’s policy.



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5

c. If a student accumulates five(5) consecutive absences and has not contacted the instructor, then the student will be withdrawn from the class by the instructor.

d. Excused absences require written documentation such as the

following: doctor’s excuse, obituary, or court summons. Other forms of documentation(i.e., phone call or email) maybe accepted at the discretion of the instructor. If the student knows in advance that he or she will be absent, then it is his/her responsibility to inform the instructor.

XIII. STATEMENT ON DISCRIMINATION/HARASSMENT The College and the Alabama Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.

XIV. AMERICANSWITH DISABILITIES The Rehabilitation Act of 1973(Section504) and the American with DisabilitiesActof1990statethatqualifiedstudents with disabilities who meet the essential functions and academic requirements are entitled to reasonable accommodations. It is the student’s responsibility to provide appropriate disability documentation to the College. Please contact the ADA representative.



All Rights Reserved

6

XV. COURSECALENDAR FALL 2017

MTH 090–BASICCOLLEGEMATHEMATICS

OUTLINE–WEDNESDAY& THURSDAY

DAY DATE SECTION TOPIC PAGE HOMEWORK PROBLEMS

W 23– AUG

GETTING STARTED;SYLLABUS

TH

24– AUG

1.1 UNDERSTANDINGWHOLE NUMBERS

9 MyMathLab

1.2 ADDINGWHOLENUMBERS 19 MyMathLab 1.3 SUBTRACTINGWHOLENUMBERS 31 MyMathLab

1.4 MULTIPLYING WHOLE NUMBERS 45 MyMathLab

1.5 DIVIDING WHOLE NUMBERS 56 MyMathLab

1.6 EXPONENTSANDTHE ORDER OF OPERATIONS

65 MyMathLab

1.7 ROUNDING ANDESTIMATING 75 MyMathLab

1.8 SOLVINGAPPLIED PROBLEMS INVOLVINGWHOLENUMBERS

90 MyMathLab

W 30 - AUG

REVIEW

TEST#1: CHAPTER 1 WHOLE NUMBERS

MyMathLab

TH

31– AUG

2.1 UNDERSTANDINGFRACTIONS 111 MyMathLab

2.2 SIMPLIFYINGFRACATIONS 119 MyMathLab

2.3 CONVERTINGBETWEEN IMPROPER FRACTIONS&MIXED

NUMBERS

126 MyMathLab

2.4 MULTIPLYINGFRACTIONS &MIXED NUMBERS

132 MyMathLab

W 06 - SEP

2.5 DIVIDING FRACTIONS&MIXED NUMBERS

140 MyMathLab

2.6 LCD&CREATINGEQUIVALENT FRACTIONS

153 MyMathLab

2.7 ADDING& SUBTRACTING FRACTIONS

161 MyMathLab



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2.8 ADDING& SUBTRACTINGMIXED

NUMBERS&THEORDER OF OPERATIONS

169 MyMathLab

2.9 SOLVINGAPPLIED PROBLEMS INVOLVINGFRACTIONS

180 MyMathLab

TH 07 - SEP

REVIEW

TEST #2:CHAPTER2 FRACTIONS

MyMathLab

W 13 - SEP

3.1 USING DECIMALNOTATION 199 MyMathLab

3.2 COMPARING,ORDERING,& ROUNDING DECIMALS

205 MyMathLab

3.3 ADDING& SUBTRACTING DECIMALS

212 MyMathLab

TH 14 - SEP

3.4 MULTIPLYINGDECIMALS 221 MyMathLab

3.5 DIVIDING DECIMALS 231 MyMathLab

3.6 CONVERTINGFRACTIONSTO DECIMALS&THEORDER OF

OPERATIONS

240 MyMathLab

3.7 ESTIMATING&SOLVINGAPPLIED PROBLEMSINVOLVING DECIMALS

247 MyMathLab

W 20 - SEP

REVIEW

TEST #3:CHAPTER3 DECIMALS

TH

21 - SEP

4.1 RATIOS&RATES 267 MyMathLab

4.2 THECONCEPT OFPROPORTIONS 274 MyMathLab

4.3 SOLVINGPROPORTIONS 284 MyMathLab

4.4 SOLVINGAPPLIED PROBLEMS INVOLVINGPROPORTIONS

291 MyMathLab

W 27 – SEP

4TH OF JULY HOLIDAY – NO CLASS!!!!!!!!!!!!!!!!!!

TH

28 - SEP

REVIEW

TEST #4:CHAPTER 4 RATIO& PROPORTION

MyMathLab

W 04 - OCT

5.1 UNDERSTANDINGPERCENT 309 MyMathLab

5.2 CHANGINGBETWEEN PERCENTS,& FRACTIONS

318 MyMathLab



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5.3B SOLVING PERCENT PROBLEMS

USING PROPOTIONS 334 MyMathLab

5.4 SOLVING APPLIED PERCENT PROBLEMS

343 MyMathLab

5.5 SOLVING COMMISSION, PERCENT OF INCRREASE OR

DECREASE & INTEREST PROBLEMS

349 MyMathLab

TH 05 - OCT

REVIEW

TEST #5: CHAPTER 5: PERCENTS MyMathLab

W 11 - OCT

9.1 ADDING SIGNED NUMBERS MyMathLab

9.2 SUBTRACTING SIGNED NUMBERS

MyMathLab

9.3 MULTIPLYING & DIVIDING SIGNED NUMBERS

MyMathLab

9.4 ORDER OF OPERATIONS WITH SIGNED NUMBERS

MyMathLab

9.5 SCIENTIFIC NOTATION MyMathLab

TH 12 - OCT

REVIEW

TEST #6: CHAPTER 9: SIGNED NUMBERS MyMathLab

W 18 - OCT

10.1 VARIABLES & LIKE TERMS MyMathLab

10.2 THE DISTRIBUTIVE PROPERTY MyMathLab

10.3 SOLVING EQUATIONS USING THE DISTRIBUTIVE PROPERTY

MyMathLab

10.4 SOLVING EQUATIONS USING THE DIVISION OR

MULTIPLICATION PROPERTY

MyMathLab

10.5 SOLVING EQUATIONS USING THE TWO PROPERTIES

MyMathLab

TH 19- OCT

REVIEW

TEST #7: CHAPTER 10: ALGEBRAIC EQUATIONS

MyMathLab

FINAL REVIEW

W 25 - OCT

FINAL EXAM MyMathLab



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9

XVI. STUDENT ACKNOWLEDGEMENT FORM

I have been presented with my personal copy of the MTH 090

Course Syllabus. I have read and studied the MAH 090 course

standards and requirements contained in the course syllabus. I

understand that to receive credit and an acceptable grade in

MTH090, I must fulfill all of these requirements.

STUDENT SIGNATURE: _

DATE: __________________________________________________

PRINT YOUR NAME:

EMAIL:_

HOME PHONE:_

WORK PHONE:_

CELL PHONE:_

EMAIL:_

ELEMENTARY ALGEBRA MTH 098 ELEMENTARY ALGEBRA

Reid State Technical College

I. COURSE PREFIX, NUMBER, TITLE

MTH 098 AN - Elementary Algebra

II. COURSE HOURS


0 Lab credit hours


3 Contact hours

III. CLASS MEETING

DATES/TIMES/LOCATIONS

1:00 p.m. – 3:40 p.m.

Tuesday

RSHC 106

IV. CLINICAL DATES/TIMES/LOCATION (None)

None

V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE

HOURS/LOCATION

Steven Preyear

Library, Room 209

Office: (251)578-1313, EXT. 211

Email: [email protected] Office Hours: See attached schedule.

mailto::%[email protected]


VI. COURSE DESCRIPTION:

This course is a review of the fundamental arithmetic and algebra operations.

The topics include the numbers of ordinary arithmetic and their properties;

integers and rational numbers; the solving of equations; polynomials and

factoring; and an introduction to systems of equations and graphs.


Prerequisites: MTH 090 or appropriate mathematics placement score

VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES

Introductory Algebra by Bittinger (12th ed., Pearson Addison-Wesley)

MyMathLab access code


Upon completion of this course, the successful student will:

A. Simplify algebraic expressions.

B. Add, subtract, multiply, and divide real numbers, polynomials, rational

expressions, and radical expressions.

C. Solve applied problems involving the operations of real numbers, linear

equations, quadratic equations, rational equations, direct & inverse

variation, and radical equations.

D. Identify the properties of real numbers.

E. Solve linear equations, formulas, inequalities in one variable, quadratic

equations, rational equations, and radical equations.

F. Graph linear equations.

G. Find the equation of a line.

H. Graph inequalities in two variables.

I. Simplify expressions containing integer exponents.

J. Convert between standard notation and scientific notation for a real

number.

K. Factor polynomials.

L. Solve systems of equations in two variables.

X. OUTLINE OF MODULES

A. Introduction to Real Numbers and Algebraic Expressions

1. Introduction to Algebra

2. The Real Numbers

3. Addition of Real Numbers

4. Subtraction of Real Numbers

5. Multiplication of Real Numbers

6. Division of Real Numbers

7. Properties of Real Numbers

8. Simplifying Expressions; Order of Operations


B. Solving Equations and Inequalities

1. Solving Equations: The Addition Principle

2. Solving Equations: The Multiplication Principle

3. Using the Principles Together

4. Formulas

5. Applications of Percent

6. Applications and Problem Solving

7. Solving Inequalities

8. Applications and Problem Solving with Inequalities

C. Graphs of Linear Equations

1. Graphs and Applications of Linear Equations

2. More with Graphing and Intercepts

3. Slope and Applications

4. Equations of Lines

5. Graphing Using the Slope and the y-Intercept

6. Parallel and Perpendicular Lines

7. Graphing Inequalities in Two Variables

D. Polynomials: Operations

1. Integers as Exponents

2. Exponents and Scientific Notation

3. Introduction to Polynomials

4. Addition and Subtraction of Polynomials

5. Multiplication of Polynomials

6. Special Products

7. Operations with Polynomials in Several Variables

8. Division of Polynomials

E. Polynomials: Factoring

1. Introduction to Factoring

2. Factoring Trinomials of the Type x² + bx + c

3. Factoring ax² + bx + c, a ≠ 1: The FOIL Method

4. Factoring ax² + bx + c, a ≠ 1: The ac-Method

5. Factoring Trinomial Squares and Differences of Squares

6. Factoring: A General Strategy

7. Solving Quadratic Equations by Factoring

8. Applications of Quadratic Equations

F. Rational Expressions and Equations

1. Multiplying and Simplifying Rational Expressions

2. Division and Reciprocals

3. Least Common Multiples and Denominators

4. Adding Rational Expressions

5. Subtracting Rational Expressions

6. Solving Rational Expressions

7. Applications Using Rational Equations and Proportions

8. Complex Rational Expressions

9. Direct and Inverse Variation


G. Systems of Equations 1. Systems of Equations in Two Variables

2. The Substitution Method

3. The Elimination Method


5. Applications with Motion

H. Radical Expressions and Equations

1. Introduction to Radical Expressions

2. Multiplying and Simplifying with Radical Expressions

3. Quotients Involving Radical Expressions

4. Addition, Subtraction, and More Multiplication

5. Radical Equations

6. Applications with Right Triangles

I. Quadratic Equations

1. Introduction to Quadratic Equations

2. Solving Quadratic Equations by Completing the Square

3. The Quadratic Formula

4. Formulas


6. Graphs of Quadratic Equations 7. Functions

XI. EVALUATION AND ASSESSMENT

Chapter Tests……75%

Final Exam……....25%

HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Students may continue to work on homework assignments after the due date has passed, but a 10% grade reduction will be applied to those problems completed after the due date. Homework will be averaged together at the end of the semester to make up another test grade. This grade cannot be dropped. QUIZZES: Quizzes will be assigned through MyMathLab. A deadline will be given for each Quiz. Students will be given two attempts per Quiz. Quizzes will be averaged together at the end of the semester to make up another test grade.

CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. Three tardies constitute one absence

ELEMENTARY ALGEBRA MTH 098 D ELEMENTARY ALGEBRA MTH 098

6


Grades will be awarded according to the standard scale:

90- 100…..A

80-89........B

70-79……C

60-69……D

Below 60..F

XII. ATTENDANCE

a. Students are expected to attend all classes for which they are registered.

Students who are unable to attend class regularly, regardless of the

reason or circumstance, should withdraw from that class before poor

attendance interferes with the student’s ability to achieve the objectives

required in the course. Withdrawal from class can affect eligibility for

federal financial aid. Withdrawal from class can prohibit progression in

nursing and allied health programs.


course. Only excused absences will be considered for make up. However,

due to limited clinical space and time, clinical make up days cannot be

guaranteed. Failure to complete clinical rotations will prohibit progression

in nursing and allied health programs.


been contacted the instructor, then the student will be withdrawn from

the class by the instructor.


following: doctor’s excuse, obituary, or court summons. Other forms

documentation (i.e., phone call or email) may be accepted at the

discretion of the instructor. If the student knows in advance that he or

she will be absent, then it is her/her responsibility to inform the

instructor.


The College and the Alabama Board of Education are committed to providing

both employment and educational environments free of harassment or

discrimination related to an individual’s race, color, gender, religion, national

origin, age, or disability. Such harassment is a violation of State Board of

Education policy. Any practice or behavior that constitutes harassment is a


7

violation of State Board of Education policy. Any practice or behavior that

constitutes harassment or discrimination will not be tolerated.


The Rehabilitation Act of 1973 (Section 504) and the American with

Disabilities Act of 1990 state that qualified students with disabilities who meet

the essential functions and academic requirements are entitled to reasonable

accommodations. It is the student’s responsibility to provide appropriate

disability documentation to the College. Please contact the ADA

representative.

XV. COURSE CALENDAR

FALL2017

MTH 098 AN – ELEMENTARY ALGEBRA

OUTLINE – TUESDAY

DAY DATE SECTION TOPIC PAGE PROBLEMS

T 22 –

AUG

Getting Started; Syllabus; MYMATHLAB orientation

T 29-

AUG

1.1 Introduction to Algebra 48 MML

1.2 The Real Numbers 59 MML 1.3 Addition of Real Numbers 67 MML 1.4 Subtraction of Real

Numbers

73 MML

1.5 Multiplication of Real

Numbers

83 MML

1.6 Division of Real Numbers 92 MML

T 05 –

SEP

1.7 Properties of Real

Numbers

104 MML

1.8 Simplifying Expressions

and Order of Operations

113 MML

REVIEW


8

T 12 –

SEP

TEST #1: CHAPTER 1

INTRODUCTION TO REAL NUMBERS & ALGEBRAIC

EXPRESSIONS

T 19 –

SEP

2.1 Solving Equations: The

Addition Principle

130 MML


Multiplication Principle

136 MML

2.3 Using the Principles

Together

145 MML

T 26 – SEP

2.4 Formulas

153 MML

2.6 Applications and Problem

Solving

179 MML

2.7 Solving Inequalities 192 MML 2.8 Applications and Problem

Solving with Inequalities

199 MML

REVIEW

T 03 –

OCT

TEST #2: CHAPTER 2

SOLVING EQUATIONS & INEQUALITIES

T 10 –

OCT

3.1 Graphs & Applications of

Linear Equations

224 MML

3.2 More with Graphing and

Intercepts

237 MML

3.3 Slope and Applications 248 MML 3.4 Equations of Lines 256 MML

T 17 –

OCT

3.5 Graphing Using the Slope and the y-

intercept

263 MML

3.6 Parallel and Perpendicular

Lines

270 MML

3.7 Graphing Inequalities in Two Variables

277 MML

REVIEW

T 24 –

OCT

TEST #3: CHAPTER 3

GRAPHS OF LINEAR EQUATIONS


9

T 31 -

OCT

4.1 Integers as Exponents 300 MML

4.2 Exponents and Scientific

Notation

310 MML

4.3 Introduction to Polynomials 323 MML

4.4 Addition and Subtractions of

Polynomials

332 MML

T 07 -

NOV

4.5 Multiplication of Polynomials 343 MML

4.6 Special Products 353 MML 4.7 Operations with Polynomials in

Several Variables

361 MML

4.8 Division of Polynomials 370 MML

REVIEW

T 14 –

NOV

TEST #4: CHAPTER 4

POLYNOMIALS: OPERATIONS

T 21 -

NOV

5.1 Introduction to Factoring 389 MML

5.2 Factoring Trinomials of the

Type x² + bx + c

397 MML

5.3 Factoring ax² + bx + c, a≠ 1 407 MML

5.4 More Factoring Trinomials 412 MML

T 28 –

NOV

5.5 Factoring Trinomial Squares

and Differences of Squares

423 MML

5.6 Factoring: A General Strategy 432 MML

5.7 Solving Quadratic Equations by

Factoring

441 MML

5.8 Applications of Quadratic

Equations

450 MML

REVIEW

T 05 –

DEC

TEST #5: CHAPTER 5

POLYNOMIALS: FACTORING

T 12 -

DEC 6.1 Multiplying and Simplifying

Rational Expressions

472 MML

6.2 Division and Reciprocals 478 MML

6.3 Least Common Multiples and

Denominators

483 MML

6.4 Adding Rational Expressions 489 MML


10

6.5 Subtracting Rational

Expressions

497 MML

6.6 Complex Rational Expressions 507 MML

6.7 Solving Rational Equations 513 MML

6.8 Applications Using Rational

Equations & Proportions

525 MML

6.9 Direct & Inverse Variation 536 MML

REVIEW

TEST #6: CHAPTER 6

RATIONAL EXPRESSION

S & EQUATIONS

FINAL REVIEW

FINAL EXAM


11


I have been presented with my personal copy of the MTH 098 Course Syllabus. I

have read and studied the MTH 098 course standards and requirements contained

in the course syllabus. I understand that to receive credit and an acceptable grade

in MTH 098, I must fulfill all of these requirements.

Student Signature: Date:

Print Your Name:

EMAIL ADDRESS:

HOME PHONE:

CELL PHONE:

WORK PHONE:


Reid State Technical College

I. COURSE PREFIX, NUMBER, TITLE

MTH 098 EN - Elementary Algebra

II. COURSE HOURS


0 Lab credit hours


3 Contact hours

III. CLASS MEETING

DATES/TIMES/LOCATIONS

1:00 p.m. – 3:40 p.m.

Wednesday

LIB 215

IV. CLINICAL DATES/TIMES/LOCATION (None)

None

V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE

HOURS/LOCATION

Steven Preyear

Library, Room 209

Office: (251)578-1313, EXT. 211

Email: [email protected] Office Hours: See attached schedule.

mailto::%[email protected]



This course is a review of the fundamental arithmetic and algebra operations.

The topics include the numbers of ordinary arithmetic and their properties;

integers and rational numbers; the solving of equations; polynomials and

factoring; and an introduction to systems of equations and graphs.


Prerequisites: MTH 090 or appropriate mathematics placement score

VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES

Introductory Algebra by Bittinger (12th ed., Pearson Addison-Wesley)

MyMathLab access code


Upon completion of this course, the successful student will:

A. Simplify algebraic expressions.

B. Add, subtract, multiply, and divide real numbers, polynomials, rational

expressions, and radical expressions.

C. Solve applied problems involving the operations of real numbers, linear

equations, quadratic equations, rational equations, direct & inverse

variation, and radical equations.

D. Identify the properties of real numbers.

E. Solve linear equations, formulas, inequalities in one variable, quadratic

equations, rational equations, and radical equations.

F. Graph linear equations.

G. Find the equation of a line.

H. Graph inequalities in two variables.

I. Simplify expressions containing integer exponents.

J. Convert between standard notation and scientific notation for a real

number.

K. Factor polynomials.

L. Solve systems of equations in two variables.

X. OUTLINE OF MODULES

A. Introduction to Real Numbers and Algebraic Expressions

1. Introduction to Algebra

2. The Real Numbers

3. Addition of Real Numbers

4. Subtraction of Real Numbers

5. Multiplication of Real Numbers

6. Division of Real Numbers

7. Properties of Real Numbers

8. Simplifying Expressions; Order of Operations


B. Solving Equations and Inequalities

1. Solving Equations: The Addition Principle

2. Solving Equations: The Multiplication Principle

3. Using the Principles Together

4. Formulas

5. Applications of Percent


7. Solving Inequalities

8. Applications and Problem Solving with Inequalities

C. Graphs of Linear Equations

1. Graphs and Applications of Linear Equations

2. More with Graphing and Intercepts

3. Slope and Applications

4. Equations of Lines

5. Graphing Using the Slope and the y-Intercept

6. Parallel and Perpendicular Lines

7. Graphing Inequalities in Two Variables

D. Polynomials: Operations

1. Integers as Exponents

2. Exponents and Scientific Notation

3. Introduction to Polynomials

4. Addition and Subtraction of Polynomials

5. Multiplication of Polynomials

6. Special Products

7. Operations with Polynomials in Several Variables

8. Division of Polynomials

E. Polynomials: Factoring

1. Introduction to Factoring

2. Factoring Trinomials of the Type x² + bx + c

3. Factoring ax² + bx + c, a ≠ 1: The FOIL Method

4. Factoring ax² + bx + c, a ≠ 1: The ac-Method

5. Factoring Trinomial Squares and Differences of Squares

6. Factoring: A General Strategy

7. Solving Quadratic Equations by Factoring

8. Applications of Quadratic Equations

F. Rational Expressions and Equations

1. Multiplying and Simplifying Rational Expressions

2. Division and Reciprocals

3. Least Common Multiples and Denominators

4. Adding Rational Expressions

5. Subtracting Rational Expressions

6. Solving Rational Expressions

7. Applications Using Rational Equations and Proportions

8. Complex Rational Expressions

9. Direct and Inverse Variation


G. Systems of Equations 1. Systems of Equations in Two Variables

2. The Substitution Method

3. The Elimination Method


5. Applications with Motion

H. Radical Expressions and Equations

1. Introduction to Radical Expressions

2. Multiplying and Simplifying with Radical Expressions

3. Quotients Involving Radical Expressions

4. Addition, Subtraction, and More Multiplication

5. Radical Equations

6. Applications with Right Triangles

I. Quadratic Equations

1. Introduction to Quadratic Equations

2. Solving Quadratic Equations by Completing the Square

3. The Quadratic Formula

4. Formulas


6. Graphs of Quadratic Equations 7. Functions

XI. EVALUATION AND ASSESSMENT

Chapter Tests……75%

Final Exam……....25%

HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Students may continue to work on homework assignments after the due date has passed, but a 10% grade reduction will be applied to those problems completed after the due date. Homework will be averaged together at the end of the semester to make up another test grade. This grade cannot be dropped. QUIZZES: Quizzes will be assigned through MyMathLab. A deadline will be given for each Quiz. Students will be given two attempts per Quiz. Quizzes will be averaged together at the end of the semester to make up another test grade.

CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. Three tardies constitute one absence


6


Grades will be awarded according to the standard scale:

90- 100…..A

80-89........B

70-79……C

60-69……D

Below 60..F

XII. ATTENDANCE

a. Students are expected to attend all classes for which they are registered.

Students who are unable to attend class regularly, regardless of the

reason or circumstance, should withdraw from that class before poor

attendance interferes with the student’s ability to achieve the objectives

required in the course. Withdrawal from class can affect eligibility for

federal financial aid. Withdrawal from class can prohibit progression in

nursing and allied health programs.


course. Only excused absences will be considered for make up. However,

due to limited clinical space and time, clinical make up days cannot be

guaranteed. Failure to complete clinical rotations will prohibit progression

in nursing and allied health programs.


been contacted the instructor, then the student will be withdrawn from

the class by the instructor.


following: doctor’s excuse, obituary, or court summons. Other forms

documentation (i.e., phone call or email) may be accepted at the

discretion of the instructor. If the student knows in advance that he or

she will be absent, then it is her/her responsibility to inform the

instructor.


The College and the Alabama Board of Education are committed to providing

both employment and educational environments free of harassment or

discrimination related to an individual’s race, color, gender, religion, national

origin, age, or disability. Such harassment is a violation of State Board of

Education policy. Any practice or behavior that constitutes harassment is a


7

violation of State Board of Education policy. Any practice or behavior that

constitutes harassment or discrimination will not be tolerated.


The Rehabilitation Act of 1973 (Section 504) and the American with

Disabilities Act of 1990 state that qualified students with disabilities who meet

the essential functions and academic requirements are entitled to reasonable

accommodations. It is the student’s responsibility to provide appropriate

disability documentation to the College. Please contact the ADA

representative.

XV. COURSE CALENDAR

FALL2017

MTH 098 EN – ELEMENTARY ALGEBRA

OUTLINE – WEDNESDAY


W 23 –

AUG

Getting Started; Syllabus; MYMATHLAB orientation

W 30-

AUG

1.1 Introduction to Algebra 48 MML

1.2 The Real Numbers 59 MML 1.3 Addition of Real Numbers 67 MML 1.4 Subtraction of Real

Numbers

73 MML

1.5 Multiplication of Real

Numbers

83 MML

1.6 Division of Real Numbers 92 MML

W 06 –

SEP

1.7 Properties of Real

Numbers

104 MML

1.8 Simplifying Expressions

and Order of Operations

113 MML

REVIEW


8

W 13 –

SEP

TEST #1: CHAPTER 1

INTRODUCTION TO REAL NUMBERS & ALGEBRAIC

EXPRESSIONS

W 20 –

SEP


Addition Principle

130 MML


Multiplication Principle

136 MML

2.3 Using the Principles

Together

145 MML

W 27 – SEP

2.4 Formulas

153 MML

2.6 Applications and Problem

Solving

179 MML

2.7 Solving Inequalities 192 MML 2.8 Applications and Problem

Solving with Inequalities

199 MML

REVIEW

W 04 –

OCT

TEST #2: CHAPTER 2

SOLVING EQUATIONS & INEQUALITIES

W 11 –

OCT

3.1 Graphs & Applications of

Linear Equations

224 MML

3.2 More with Graphing and

Intercepts

237 MML

3.3 Slope and Applications 248 MML 3.4 Equations of Lines 256 MML

W 18 –

OCT

3.5 Graphing Using the Slope and the y-

intercept

263 MML

3.6 Parallel and Perpendicular

Lines

270 MML

3.7 Graphing Inequalities in Two Variables

277 MML

REVIEW

W 19 –

OCT

TEST #3: CHAPTER 3

GRAPHS OF LINEAR EQUATIONS


9

W 01 -

NOV

4.1 Integers as Exponents 300 MML

4.2 Exponents and Scientific

Notation

310 MML

4.3 Introduction to Polynomials 323 MML

4.4 Addition and Subtractions of

Polynomials

332 MML

W 08 -

NOV


4.6 Special Products 353 MML 4.7 Operations with Polynomials in

Several Variables

361 MML


REVIEW

W 15 –

NOV

TEST #4: CHAPTER 4

POLYNOMIALS: OPERATIONS

W 16 -

NOV


5.2 Factoring Trinomials of the

Type x² + bx + c

397 MML

5.3 Factoring ax² + bx + c, a≠ 1 407 MML


W 29 –

NOV

5.5 Factoring Trinomial Squares

and Differences of Squares

423 MML

5.6 Factoring: A General Strategy 432 MML

5.7 Solving Quadratic Equations by

Factoring

441 MML

5.8 Applications of Quadratic

Equations

450 MML

REVIEW

W 06 –

DEC

TEST #5: CHAPTER 5

POLYNOMIALS: FACTORING

W 13 -

DEC 6.1 Multiplying and Simplifying

Rational Expressions

472 MML

6.2 Division and Reciprocals 478 MML

6.3 Least Common Multiples and

Denominators

483 MML

6.4 Adding Rational Expressions 489 MML


10

6.5 Subtracting Rational

Expressions

497 MML

6.6 Complex Rational Expressions 507 MML


6.8 Applications Using Rational

Equations & Proportions

525 MML

6.9 Direct & Inverse Variation 536 MML

REVIEW

TEST #6: CHAPTER 6

RATIONAL EXPRESSION

S & EQUATIONS

FINAL REVIEW

FINAL EXAM


11


I have been presented with my personal copy of the MTH 098 Course Syllabus. I

have read and studied the MTH 098 course standards and requirements contained

in the course syllabus. I understand that to receive credit and an acceptable grade

in MTH 098, I must fulfill all of these requirements.

Student Signature: Date:

Print Your Name:

EMAIL ADDRESS:

HOME PHONE:

CELL PHONE:

WORK PHONE:

INTERMEDIATE COLLEGE ALGBRA MTH 100






I. COURSE PREFIX, NUMBER, TITLE MTH 100 AN – Intermediate College Algebra II. COURSE HOURS

3 Credit hours


0 Lab credit hours


3 Contact hours

III. CLASS MEETING DATES/TIMES/LOCATION Thursday 1:00 pm – 3:40 pm RSHC 106 IV. CLINICAL DATES/TIMES/LOCATION None V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE HOURS/LOCATION Steven Preyear Library, Room 209 Office: (251) 578-1313 EXT. 211 Email: [email protected] Office Hours: See attached schedule






This course provides a study of algebraic techniques such as linear equations and inequalities, quadratic equations, systems of equations, and operations with exponents and radicals. Functions and relations are introduced and graphed with special emphasis on linear and quadratic functions. This course does not apply toward the general core requirement of mathematics.

VII. PREREQUISITE(S)/CO-REQUISITE(S) Prerequisites: MTH 092 or MTH 098 or appropriate mathematics placement score Co-requisites: None VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES Intermediate Algebra by Bittinger, (12th ed., Addison-Wesley); Scientific Calculator; Notebook or binder to keep homework and notes. IX. PROFESSIONAL COMPETENCIES/OBJECTIVES

Upon completion of this course, the successful student will: 1) simplify expressions by using the laws of exponents and scientific notation, 2) graph linear equations and inequalities in the number plane, 3) solve systems of equations by graphing, addition, and substitution, 4) solve linear equations and inequalities by using the addition and multiplication principles, 5) add, subtract, multiply, and divide polynomials, 6) factor polynomials, 7) add, subtract, multiply, and divide fractional expressions, 8) simplify expressions involving exponents, powers, roots, and radicals, 9) solve first degree, second degree, fractional and radical equations, 10) use the properties of logarithmic functions, and 11) translate applied problems to equations that can be solved by the algebraic procedures learned.

X. OUTLINE OF MODULES A. Solving Linear Equations and Inequalities 1. Solving Equations 2. Formulas & Applications 3. Applications & Problem Solving 4. Sets, Inequalities, & Interval Notation 5. Intersections, Unions, & Compound Inequalities 6. Absolute-Value Equations & Inequalities B. Graphs, Functions, & Applications 1. Graphs of Equations 2. Functions & Graphs 3. Finding Domain & Range 4. Linear Functions: Graphs & Slope




5. More on Graphing Linear Equations 6. Finding Equations of Lines: Applications C. Systems of Equations 1. Systems of Equations in Two Variables 2. Solving by Substitution 3. Solving by Elimination 4. Solving Applied Problems: Two Equations 5. Systems of Equations in Three Variables 6. Solving Applied Problems: Three Variables 7. Systems of Inequalities in Two Variables D. Polynomials and Polynomial Functions 1. Introduction to Polynomials and Polynomial Functions 2. Multiplication of Polynomials 3. Introduction to Factoring 4. Factoring Trinomials: x2 + bx + c 5. Factoring Trinomials: ax2 + bx + c, a ≠ 1 6. Special Factoring 7. Factoring: A General Strategy 8. Applications of Polynomial Equations and Functions E. Rational Expressions, Equations, & Functions 1. Rational Expression & Functions: Multiplying, Dividing, & Simplifying 2. LCMs, LCD, Addition, and Subtraction 3. Division of Polynomials 4. Complex Rational Expressions 5. Solving Rational Equations 6. Applications & Proportions 7. Formulas & Applications 8. Variation & Applications F. Radical Expressions, Equations, and Functions 1. Radical Expressions & Functions 2. Rational Numbers as Exponents 3. Simplifying Radical Expressions 4. Addition, Subtraction, and More Multiplication 5. More on Division of Radical Expressions 6. Solving Radical Equations 7. Applications Involving Powers & Roots 8. The Complex Numbers G. Quadratic Equations & Functions 1. The Basics of Solving Quadratic Equations 2. The Quadratic Formula 3. Applications Involving Quadratic Equations 4. More on Quadratic Equations H. Exponential and Logarithmic Functions 1. Exponential Functions




2. Inverse & Composite Functions 3. Logarithmic Functions 4. Properties of Logarithmic Functions XI. EVALUATION AND ASSESSMENT


HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Students may continue to work on homework assignments after the due date has passed, but a 10% grade reduction will be applied to those problems completed after the due date. Homework will be averaged together at the end of the semester to make up another test grade. QUIZZES: Quizzes will be assigned through MyMathLab. A deadline will be given for each Quiz. Students will be given two attempts per Quiz. Quizzes will be averaged together at the end of the semester to make up another test grade. CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. FINAL EXAM: The final exam is comprehensive. Grades will be awarded according to the standard scale

90-100……A 80-89……..B 70-79……..C 60-69……..D Below…….F

XII. ATTENDANCE

a. Students are expected to attend all classes for which they are registered. Students who are unable to attend class regular, regardless of the reason or circumstance, should withdraw from the class before poor attendance interferes with the student’s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid. Withdrawal from class can prohibit progression in nursing and allied health programs.





course. Only excused absences will be considered for make- up. However, due to limited clinical space and time, clinical make up days cannot be guaranteed. Failure to complete clinical rotations will prohibit progression in nursing and allied health programs.




The College and the Alabama Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment is a violoation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated,



XV. COURSE CALENDAR

FALL 2017

MTH 100 AN – INTERMEDIATE COLLEGE ALGEBRA

OUTLINE – THURSDAY


TH 31 – AUG GETTING STARTED; SYLLABUS

TH 07 - SEP 2.1 Graphs of Equations 166 MML

2.2 Functions & Graphs 180 MML

2.3 Finding Domain & Range 189 MML

2.4 Linear Functions & Slope MML

2.5 More on Graphing MML

2.6 Finding Equations of Lines; Applications

MML

TH 14 - SEP REVIEW




TEST #1: CHAPTER 2 GRAPHS, FUNCTIONS, & APPLICATIONS

TH 21 – SEP 3.1 Systems of Equations in Two Variables

249 MML

3.2 Solving by Substitution 255 MML

3.3 Solving by Elimination 263 MML

3.4 Solving Applied Problems; Two Equations

275 MML

3.5 Systems of Equations in Three Variables

286 MML

TH 28 - SEP REVIEW

TEST #2: CHAPTER 3 SYSTEMS OF EQUATIONS

TH 05 - OCT 4.1 Introduction to Polynomials & Polynomial Functions

326 MML



4.4 Factoring Trinomials 352 MML


4.6 Special Factoring 371 MML

4.7 Factoring: A General Strategy

378 MML

4.8 Applications of Polynomial Equations & Functions

388 MML

TH 12 - OCT REVIEW

TEST #3: CHAPTER 4 POLYNOMIALS & POLYNOMIALS FUNCTIONS

TH 19 – OCT 5.1 Rational Expressions: ×, ÷, & Simplifying

412 MML

5.2 LCMs, LCDs, Addition & Subtraction

422 MML


5.4 Complex Rational Expressions

440 MML


5.6 Applications & Proportions 461 MML

5.7 Formulas & Applications 468 MML

5.8 Variation & Applications 477 MML

TH 26 - OCT REVIEW

TEST #4: CHAPTER 5 RATIONAL EXPRESSIONS, EQUATIONS, & FUNCTIONS

TH 02 – NOV 6.1 Radical Expressions & Functions

501 MML




6.2 Rational Numbers as Exponents

508 MML

6.3 Simplifying Radical Expressions

515 MML

6.4 +, - , More Multiplication 521 MML

6.5 More on Division of Radical Expressions

530 MML

6.6 Solving Radical Equations 539 MML

6.7 Applications Involving Powers & Roots

546 MML

6.8 The Complex Numbers 557 MML

REVIEW

TEST #5: CHAPTER 6 RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS

TH 09 - NOV FINAL REVIEW

FINAL EXAM




XVI. STUDENT ACKNOWLEDGEMENT FORM I have been presented with my personal copy of MTH 100 D Course Syllabus. I have read and studied the MTH 100 D course standards and requirements contained in the course syllabus. I understand that to receive credit and an acceptable grade in MTH 100 D, I must fulfill all of these requirements. Student Signature:____________________________________Date:______________ Print Your Name:________________________________________________________ EMAIL:________________________________________________________________ HOME PHONE:_________________________________________________________ WORK PHONE:_________________________________________________________







I. COURSE PREFIX, NUMBER, TITLE MTH 100 EN – Intermediate College Algebra II. COURSE HOURS

3 Credit hours


0 Lab credit hours


3 Contact hours

III. CLASS MEETING DATES/TIMES/LOCATION Tuesday 7:50 am – 10:30 am LIB 215 IV. CLINICAL DATES/TIMES/LOCATION None V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE HOURS/LOCATION Steven Preyear Library, Room 209 Office: (251) 578-1313 EXT. 211 Email: [email protected] Office Hours: See attached schedule






This course provides a study of algebraic techniques such as linear equations and inequalities, quadratic equations, systems of equations, and operations with exponents and radicals. Functions and relations are introduced and graphed with special emphasis on linear and quadratic functions. This course does not apply toward the general core requirement of mathematics.

VII. PREREQUISITE(S)/CO-REQUISITE(S) Prerequisites: MTH 092 or MTH 098 or appropriate mathematics placement score Co-requisites: None VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES Intermediate Algebra by Bittinger, (12th ed., Addison-Wesley); Scientific Calculator; Notebook or binder to keep homework and notes. IX. PROFESSIONAL COMPETENCIES/OBJECTIVES

Upon completion of this course, the successful student will: 1) simplify expressions by using the laws of exponents and scientific notation, 2) graph linear equations and inequalities in the number plane, 3) solve systems of equations by graphing, addition, and substitution, 4) solve linear equations and inequalities by using the addition and multiplication principles, 5) add, subtract, multiply, and divide polynomials, 6) factor polynomials, 7) add, subtract, multiply, and divide fractional expressions, 8) simplify expressions involving exponents, powers, roots, and radicals, 9) solve first degree, second degree, fractional and radical equations, 10) use the properties of logarithmic functions, and 11) translate applied problems to equations that can be solved by the algebraic procedures learned.

X. OUTLINE OF MODULES A. Solving Linear Equations and Inequalities 1. Solving Equations 2. Formulas & Applications 3. Applications & Problem Solving 4. Sets, Inequalities, & Interval Notation 5. Intersections, Unions, & Compound Inequalities 6. Absolute-Value Equations & Inequalities B. Graphs, Functions, & Applications 1. Graphs of Equations 2. Functions & Graphs 3. Finding Domain & Range 4. Linear Functions: Graphs & Slope




5. More on Graphing Linear Equations 6. Finding Equations of Lines: Applications C. Systems of Equations 1. Systems of Equations in Two Variables 2. Solving by Substitution 3. Solving by Elimination 4. Solving Applied Problems: Two Equations 5. Systems of Equations in Three Variables 6. Solving Applied Problems: Three Variables 7. Systems of Inequalities in Two Variables D. Polynomials and Polynomial Functions 1. Introduction to Polynomials and Polynomial Functions 2. Multiplication of Polynomials 3. Introduction to Factoring 4. Factoring Trinomials: x2 + bx + c 5. Factoring Trinomials: ax2 + bx + c, a ≠ 1 6. Special Factoring 7. Factoring: A General Strategy 8. Applications of Polynomial Equations and Functions E. Rational Expressions, Equations, & Functions 1. Rational Expression & Functions: Multiplying, Dividing, & Simplifying 2. LCMs, LCD, Addition, and Subtraction 3. Division of Polynomials 4. Complex Rational Expressions 5. Solving Rational Equations 6. Applications & Proportions 7. Formulas & Applications 8. Variation & Applications F. Radical Expressions, Equations, and Functions 1. Radical Expressions & Functions 2. Rational Numbers as Exponents 3. Simplifying Radical Expressions 4. Addition, Subtraction, and More Multiplication 5. More on Division of Radical Expressions 6. Solving Radical Equations 7. Applications Involving Powers & Roots 8. The Complex Numbers G. Quadratic Equations & Functions 1. The Basics of Solving Quadratic Equations 2. The Quadratic Formula 3. Applications Involving Quadratic Equations 4. More on Quadratic Equations H. Exponential and Logarithmic Functions 1. Exponential Functions




2. Inverse & Composite Functions 3. Logarithmic Functions 4. Properties of Logarithmic Functions XI. EVALUATION AND ASSESSMENT


HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Students may continue to work on homework assignments after the due date has passed, but a 10% grade reduction will be applied to those problems completed after the due date. Homework will be averaged together at the end of the semester to make up another test grade. QUIZZES: Quizzes will be assigned through MyMathLab. A deadline will be given for each Quiz. Students will be given two attempts per Quiz. Quizzes will be averaged together at the end of the semester to make up another test grade. CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. FINAL EXAM: The final exam is comprehensive. Grades will be awarded according to the standard scale

90-100……A 80-89……..B 70-79……..C 60-69……..D Below…….F

XII. ATTENDANCE

a. Students are expected to attend all classes for which they are registered. Students who are unable to attend class regular, regardless of the reason or circumstance, should withdraw from the class before poor attendance interferes with the student’s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid. Withdrawal from class can prohibit progression in nursing and allied health programs.









The College and the Alabama Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment is a violoation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated,



XV. COURSE CALENDAR

FALL 2017

MTH 100 EN – INTERMEDIATE COLLEGE ALGEBRA

OUTLINE – TUESDAY


T 22 – AUG GETTING STARTED; SYLLABUS

T 29 - AUG 2.1 Graphs of Equations 166 MML

2.2 Functions & Graphs 180 MML

2.3 Finding Domain & Range 189 MML

2.4 Linear Functions & Slope MML

2.5 More on Graphing MML

2.6 Finding Equations of Lines; Applications

MML

T 05 - SEP REVIEW




TEST #1: CHAPTER 2 GRAPHS, FUNCTIONS, & APPLICATIONS

T 12 – SEP 3.1 Systems of Equations in Two Variables

249 MML

3.2 Solving by Substitution 255 MML

3.3 Solving by Elimination 263 MML

3.4 Solving Applied Problems; Two Equations

275 MML

3.5 Systems of Equations in Three Variables

286 MML

T 19 - SEP REVIEW

TEST #2: CHAPTER 3 SYSTEMS OF EQUATIONS

T 26 - SEP 4.1 Introduction to Polynomials & Polynomial Functions

326 MML



4.4 Factoring Trinomials 352 MML


4.6 Special Factoring 371 MML

4.7 Factoring: A General Strategy

378 MML

4.8 Applications of Polynomial Equations & Functions

388 MML

T 03 - OCT REVIEW

TEST #3: CHAPTER 4 POLYNOMIALS & POLYNOMIALS FUNCTIONS

T 10 – OCT 5.1 Rational Expressions: ×, ÷, & Simplifying

412 MML

5.2 LCMs, LCDs, Addition & Subtraction

422 MML


5.4 Complex Rational Expressions

440 MML


5.6 Applications & Proportions 461 MML

5.7 Formulas & Applications 468 MML

5.8 Variation & Applications 477 MML

T 17 - OCT REVIEW

TEST #4: CHAPTER 5 RATIONAL EXPRESSIONS, EQUATIONS, & FUNCTIONS

T 24 – OCT 6.1 Radical Expressions & Functions

501 MML




6.2 Rational Numbers as Exponents

508 MML

6.3 Simplifying Radical Expressions

515 MML

6.4 +, - , More Multiplication 521 MML

6.5 More on Division of Radical Expressions

530 MML

6.6 Solving Radical Equations 539 MML

6.7 Applications Involving Powers & Roots

546 MML

6.8 The Complex Numbers 557 MML

REVIEW

TEST #5: CHAPTER 6 RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS

T 31 - OCT FINAL REVIEW

FINAL EXAM

MATHEMATICAL APPLICATIONS MTH 116






I. COURSE PREFIX, NUMBER, TITLE MTH 116 D – Mathematical Applications II. COURSE HOURS

3 Credit hours


0 Lab credit hours


3 Contact hours

III. CLASS MEETING DATES/TIMES/LOCATION MONDAY 7:50 a.m. – 10:30 a.m. LIB 215 IV. CLINICAL DATES/TIMES/LOCATION None V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE HOURS/LOCATION Steven Preyear Library, Room 209 Office: (251) 578-1313 EXT. 211 Email: [email protected] Office Hours: See attached schedule






This course provides practical applications of mathematics and includes selected topics from consumer math and algebra. Some types included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving. This is a terminal course designed for students seeking an AAS degree and does not meet the general core requirement for mathematics

VII. PREREQUISITE(S)/CO-REQUISITE(S) Prerequisites: MTH 090 or appropriate mathematics placement score Co-requisites: None VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES MTH 116: Mathematical Applications (Pearson Learning Solutions, 2016) MyMathLab Access Code Scientific Calculator IX. PROFESSIONAL COMPETENCIES/OBJECTIVES

Upon completion of this course, the successful student will: A. Perform basic operations involving integers. B. Solve problems involving integers. C. Perform basic operations involving percent. D. Solve problems involving percent. E. Solve problems involving ratios & proportions. F. Convert measurements within the metric systems. G. Perform basic operations involving algebraic expressions. H. Solve basic linear equations and formulas. I. Solve problems involving probability.

X. OUTLINE OF MODULES A. Numerical Pathways 1. Number Theory: Prime and Composite Numbers 2. The Integers: Order of Operations 3. The Rational Numbers 4. The Irrational Numbers 5. Real Numbers and Their Properties 6. Exponents and Scientific Notation B. Algebraic Pathways: Equations and Inequalities 1. Algebraic Expressions and Formulas 2. Ratios, Rates, and Proportions




3. Modeling Using Variation 4. Linear Inequalities in One Variable C. Geometric Pathways: Measurement 1. Measuring Length: The Metric System 2. Measuring Area and Volume 3. Measuring Weight and Temperature D. Geometric Pathways 1. Perimeter 2. Area and Circumference 3. Volume E. Pathways to Probability: Counting Methods and Probability Theory 1. The Fundamental Counting Principle 2. Permutations 3. Combinations 4. Fundamentals of Probability 5. Probability with the Fundamental Counting Principle, Permutations, and Combinations 6. Events Involving Not and Or, Odds 7. Events Involving And; Conditional Probability F. Statistical Pathways 1. Sampling, Frequency Distributions, and Graphs 2. Measures of Central Tendency 3. Measures of Dispersion 4. The Normal Distribution 5. More on Division of Radical Expressions 6. Solving Radical Equations 7. Applications Involving Powers & Roots 8. The Complex Numbers G. Basics of Percents H. Applications of Percents XI. EVALUATION AND ASSESSMENT


WORKSHEETS: Worksheets will be assigned to reinforce the material learned in each section covered. Worksheets will be completed in class. Worksheets will be averaged together at the end of the semester to make up another test grade.




HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Homework will be averaged together at the end of the semester to make up another test grade. CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. FINAL EXAM: The final exam is comprehensive. Grades will be awarded according to the standard scale

90-100……A 80-89……..B 70-79……..C 60-69……..D Below…….F

XII. ATTENDANCE







The College and the Alabama Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment is a




violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.



XV. COURSE CALENDAR

FALL 2017

MTH 116 D – MATHEMATICAL APPLICATIONS

OUTLINE – MONDAY


M 21 – AUG GETTING STARTED; SYLLABUS

M 28 - AUG Numerical Pathways:

1

Number Theory: Prime & Composite Numbers

2 MML

Numerical Pathways:

2

Integers; Order of Operations

13 MML

Numerical Pathways:

3

The Rational Numbers 28 MML

M 04 - SEP Numerical Pathways:

4

The Irrational Numbers 45 MML

Numerical Pathways:

5

Real Numbers & Their Properties

57 MML

Numerical Pathways:

6

Exponents & Scientific Notation

64 MML

REVIEW

M 11 – SEP TEST #1: NUMERICAL PATHWAYS 1 - 6

M 18 – SEP Algebraic Pathways:

Equations & Inequalities:

1

Algebraic Expressions & Formulas

108 MML




Algebraic Pathways:


2

Linear Equations in One Variable

118 MML

Algebraic Pathways:


3

Applications of Linear Equations

130 MML



4

Ratios, Rates &

Proportions

142 MML

Algebraic Pathways:


5

Modeling Using Variation 153 MML

Algebraic Pathways:


6

Linear Inequalities in One Variable

162 MML

REVIEW

M 02 - OCT TEST #2: ALGEBRAIC PATHWAYS – EQUATIONS & INEQUALITIES 1 - 6

M 09 - OCT Geometric Pathways:

Measurement: 1

Measuring Length: The Metric System

188 MML

Geometric Pathways:

Measurement: 2

Measuring Area & Volume

198 MML

Geometric Pathways:

Measurement: 3

Measuring Weight & Temperature

208 MML

M 16 - OCT Geometric Pathways: 3

Polygons, Perimeter, Tessellations

247 MML

Geometric Pathways: 4

Area & Circumference 255 MML





Volume 266 MML

REVIEW

M 23 – OCT TEST #3: GEOMETRIC PATHWAYS: MEASUREMENT 1, 2, 3; GEOMETRIC PATHWAYS 3, 4, 5

M 30 - OCT 4TH OF JULY HOLIDAY – NO CLASS!!!!!!!!

M 06 – NOV Pathways to Probability: 4

Fundamentals of Probability

310 MML

Pathways to Probability: 6

Events Involving And; Conditional Probability

326 MML



338 MML

REVIEW

M 20 – NOV TEST #4: PATHWAYS TO PROBABILITY 4, 6, & 7

M 27 – NOV Statistical Pathways:

2

Measures of Central Tendency

380 MML

Statistical Pathways:

3

Measures of Dispersion 395 MML

REVIEW

M 04 - DEC TEST #5: STATISTICAL PATHWAYS: 2 & 3

M 11- DEC FINAL REVIEW

FINAL EXAM







I. COURSE PREFIX, NUMBER, TITLE MTH 116 OL – Mathematical Applications II. COURSE HOURS

3 Credit hours


0 Lab credit hours


3 Contact hours

III. CLASS MEETING DATES/TIMES/LOCATION TBA IV. CLINICAL DATES/TIMES/LOCATION None V. INSTRUCTOR, CONTACT INFORMATION, CONTACT POLICY, OFFICE HOURS/LOCATION Steven Preyear Library, Room 209 Office: (251) 578-1313 EXT. 211 Email: [email protected] Office Hours: See attached schedule VI. COURSE DESCRIPTION:





This course provides practical applications of mathematics and includes selected topics from consumer math and algebra. Some types included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving. This is a terminal course designed for students seeking an AAS degree and does not meet the general core requirement for mathematics

VII. PREREQUISITE(S)/CO-REQUISITE(S) Prerequisites: MTH 090 or appropriate mathematics placement score Co-requisites: None VIII. TEXTBOOK(S) AND OTHER LEARNING RESOURCES MTH 116: Mathematical Applications (Pearson Learning Solutions, 2016) MyMathLab Access Code Scientific Calculator IX. PROFESSIONAL COMPETENCIES/OBJECTIVES

Upon completion of this course, the successful student will: A. Perform basic operations involving integers. B. Solve problems involving integers. C. Perform basic operations involving percent. D. Solve problems involving percent. E. Solve problems involving ratios & proportions. F. Convert measurements within the metric systems. G. Perform basic operations involving algebraic expressions. H. Solve basic linear equations and formulas. I. Solve problems involving probability.

X. OUTLINE OF MODULES A. Numerical Pathways 1. Number Theory: Prime and Composite Numbers 2. The Integers: Order of Operations 3. The Rational Numbers 4. The Irrational Numbers 5. Real Numbers and Their Properties 6. Exponents and Scientific Notation B. Algebraic Pathways: Equations and Inequalities 1. Algebraic Expressions and Formulas 2. Ratios, Rates, and Proportions 3. Modeling Using Variation 4. Linear Inequalities in One Variable




C. Geometric Pathways: Measurement 1. Measuring Length: The Metric System 2. Measuring Area and Volume 3. Measuring Weight and Temperature D. Geometric Pathways 1. Perimeter 2. Area and Circumference 3. Volume E. Pathways to Probability: Counting Methods and Probability Theory 1. The Fundamental Counting Principle 2. Permutations 3. Combinations 4. Fundamentals of Probability 5. Probability with the Fundamental Counting Principle, Permutations, and Combinations 6. Events Involving Not and Or, Odds 7. Events Involving And; Conditional Probability F. Statistical Pathways 1. Sampling, Frequency Distributions, and Graphs 2. Measures of Central Tendency 3. Measures of Dispersion 4. The Normal Distribution 5. More on Division of Radical Expressions 6. Solving Radical Equations 7. Applications Involving Powers & Roots 8. The Complex Numbers G. Basics of Percents H. Applications of Percents XI. EVALUATION AND ASSESSMENT


WORKSHEETS: Worksheets will be assigned to reinforce the material learned in each section covered. Worksheets will be completed in class. Worksheets will be averaged together at the end of the semester to make up another test grade. HOMEWORK: Homework will be assigned through MyMathLab. A deadline will be given for each assignment. Homework will be averaged together at the end of the semester to make up another test grade.




CHAPTER TESTS: There will be at least FIVE (5) chapter tests given during the semester. The lowest chapter test grade will be dropped at the end of the semester for any student who does not have more than two absences. FINAL EXAM: The final exam is comprehensive. Grades will be awarded according to the standard scale

90-100……A 80-89……..B 70-79……..C 60-69……..D Below…….F

XII. ATTENDANCE







The College and the Alabama Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.




XIV. AMERICANS WITH DISABILITIES The Rehabilitation Act of 1973 (Section 504) and the American with Disabilities Act of 1990 state the qualified students with disabilities who meet the essential functions and academic requirements are entitled to reasonable accommodations. It is the student’s responsibility to provide appropriate disability documentation to the College. Please contact the ADA representative.

XV. COURSE CALENDAR

FALL 2017

MTH 116 D – MATHEMATICAL APPLICATIONS

OUTLINE – MONDAY


M 21 – AUG GETTING STARTED; SYLLABUS

M 28 - AUG Numerical Pathways:

1

Number Theory: Prime & Composite Numbers

2 MML

Numerical Pathways:

2

Integers; Order of Operations

13 MML

Numerical Pathways:

3

The Rational Numbers 28 MML

M 04 - SEP Numerical Pathways:

4

The Irrational Numbers 45 MML

Numerical Pathways:

5

Real Numbers & Their Properties

57 MML

Numerical Pathways:

6

Exponents & Scientific Notation

64 MML

REVIEW

M 11 – SEP TEST #1: NUMERICAL PATHWAYS 1 - 6



1

Algebraic Expressions & Formulas

108 MML

Algebraic Pathways:

Equations &

Linear Equations in One Variable

118 MML




Inequalities: 2

Algebraic Pathways:


3

Applications of Linear Equations

130 MML



4

Ratios, Rates &

Proportions

142 MML

Algebraic Pathways:


5

Modeling Using Variation 153 MML

Algebraic Pathways:


6

Linear Inequalities in One Variable

162 MML

REVIEW

M 02 - OCT TEST #2: ALGEBRAIC PATHWAYS – EQUATIONS & INEQUALITIES 1 - 6

M 09 - OCT Geometric Pathways:

Measurement: 1

Measuring Length: The Metric System

188 MML

Geometric Pathways:

Measurement: 2

Measuring Area & Volume

198 MML

Geometric Pathways:

Measurement: 3

Measuring Weight & Temperature

208 MML

M 16 - OCT Geometric Pathways: 3

Polygons, Perimeter, Tessellations

247 MML


Area & Circumference 255 MML


Volume 266 MML

REVIEW




M 23 – OCT TEST #3: GEOMETRIC PATHWAYS: MEASUREMENT 1, 2, 3; GEOMETRIC PATHWAYS 3, 4, 5

M 30 - OCT 4TH OF JULY HOLIDAY – NO CLASS!!!!!!!!


Fundamentals of Probability

310 MML

Pathways to Probability: 6


326 MML



338 MML

REVIEW

M 20 – NOV TEST #4: PATHWAYS TO PROBABILITY 4, 6, & 7

M 27 – NOV Statistical Pathways:

2

Measures of Central Tendency

380 MML

Statistical Pathways:

3

Measures of Dispersion 395 MML

REVIEW

M 04 - DEC TEST #5: STATISTICAL PATHWAYS: 2 & 3

M 11- DEC FINAL REVIEW

FINAL EXAM





I have been presented with my personal copy of MTH 116 D Course Syllabus. I have read and studied the MTH 116 D course standards and requirements contained in the course syllabus. I understand that to receive credit and an acceptable grade in MTH 116 D, I must fulfill all of these requirements. Student Signature:____________________________________Date:______________ Print Your Name:________________________________________________________ EMAIL:________________________________________________________________ HOME PHONE:_________________________________________________________ WORK PHONE:_________________________________________________________

reid state technical collegerstc.edu/docs/math.pdf · multiplication and division using mixed...

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