course outline math 221c advanced algebra

Course Outline in Advanced Algebra

Course Number : MATH 221CCourse Title : Advanced AlgebraCourse Credit : 3 units, 3 lecture hours/week for 18 weeksPrerequisite : College Algebra

Instructor : Herbert John D. EscullarOnline Resources : https://plus.google.com/u/0/communities/107986488730398767486

Description

This course equips students with their learning capabilities so that their mathematical skills will be developed and utilized in a meaningful context. It aims to strengthen students working knowledge in solving word problems and its applications. Emphasis is placed upon the solution and the application of linear and quadratic equations, polynomials, rational and radical equations and word problems.

Content

1. Complex Numbers1.1. Notation and Terminology1.2. Properties and Operations1.3. Powers of i 1.4. Complex Numbers in a+bi Form

2. Equations and Inequalities2.1. Equations2.2. Applications of Linear Equations2.3. Quadratic Equations in One Variable2.4. Other Equations in One Variable2.5. Inequalities2.6. Polynomials and Rational Inequalities2.7. Equations and Inequalities Involving Absolute

Value3. Graphs and Equations

3.1. Points in a Plane3.2. Graphs of Equations3.3. Equations of a Line3.4. The Parabola3.5. Translation of Axes3.6. The Ellipse the Hyperbola, and Conic Sections

4. Functions and their Graphs4.1. Functions4.2. Function Notation, Operation on Functions

and Types of Functions4.3. Quadratic Functions4.4. Graphs of Polynomial Functions4.5. Graphs of Rational Functions4.6. Inverse Functions

5. Polynomial Functions and Polynomial Equations5.1. The Remainder Theorem, The Factor

Theorem, and Synthetic Division5.2. Rational Zeros of Polynomial Functions5.3. Real Roots of Polynomial Functions5.4. Complex Zeros of Polynomial Functions

6. Exponential and Logarithmic Functions6.1. Exponents and the Number e6.2. Exponential Functions6.3. Logarithmic Functions6.4. Properties of Logarithmic Functions6.5. Exponential and Logarithmic Equations

7. Systems of Equations and Inequalities, and Matrices7.1. System of Linear Equations in Two Variables7.2. Systems of Linear Equations in Three

Variables7.3. Systems Involving Quadratic Equations7.4. Systems of Linear Inequalities and

Introduction to Linear Programming7.5. Solutions of Systems of Linear Equations by

Matrices7.6. Determinants and Cramer's Rule7.7. Properties of Matrices7.8. Solution of Linear Systems by Matrix Inverses

8. Progression8.1. Sequences, Series and Sigma Notation8.2. Arithmetic Sequences and Series8.3. Geometric Sequences and Series

References

Beecher. Algebra and TrigonometrySullivan. Algebra and Trigonometry

Leithold. College Algebra and Trigonometry

Grading System

Criteria Percentage

Major Examination (Midterm/Final) 40%

Quizzes / Long Examinations 40%

Assignments / Problem Sets 10%

Attendance and Class Participation 10%

Total 100%

Final Grade = (1/3) Midterm Grade + (2/3) Final Term Grade

Contact Information

Mobile Number : +639463871581Email : herbertjohnescullar@solution4u.com

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