TEACHING PLAN New Syllabus WQD 10103

1. Name of Course Technical Mathematics 1

2. Course Code: WQD 10103

3. Names of Academic Staff: MDM RAFIDAH ALI

4. Rationale for inclusion of the course in the program:

This course is aimed to enhance the concept and provide the knowledge of solving indices and logarithms, to provide a solid foundation in algebra and to enrich the students with the knowledge of trigonometry and complex numbers. These concepts are essential since this is the foundation for their study in higher level of mathematics.

5. Semester andYear Offered

Semester 1Year 1

6. Total Student Learning Time (SLT): 130.5h

Face to face (F2F):61.5h

Total guided and independent learning (non F2F): 69h

L= LectureT=TutorialP=PracticalO=Others

L T P O

28 28 0 5.5

7. Credit Value: 3

8. Prerequisite: Nil

9. Learning Outcomes:At the end of the semester, students should be able to:

1. Apply indices and logarithm in solving problems.2. Draw and sketch graphs in solving problems up to second degree equations.3. Analyze and solve simultaneous equations up to three variables4. Solve basic operations and factorize polynomials up to four degree functions5. Apply basic trigonometric functions in solving triangular problems6. Use trigonometric functions in related practical problems7. Solve complex number operations in several forms.

1

TEACHING PLAN New Syllabus WQD 10103

10. Transferable skills

Skills Development of the skills Skills assessments

Scientific methods, Critical Thinking, and Problem Solving Skills.

Develop by giving problem solving question in tutorial and assessment.

Tutorial and written assessment

Responsibilities and Organizational skills (time, material and information management).

Giving task to completing personal folio based on activities given by lecturer or tutor.

Learning Folio

11. Teaching-learning strategy

Teaching and learning will be via lecture and practise tutorial sessions. Students will also be required to do their own self-study either through guided questions in notes, tutorial and other learning activities.

Assessment strategy:

The coursework marks will be taken from the quizzes, written tests and affective domain - soft skills.

12. Synopsis

This subject will cover general mathematics involving algebra, trigonometry and complex numbers. It emphasizes on developing students’ mathematical competencies in quite a broad area of mathematics to prepare them for higher level of Mathematics. The main method of delivery combines lecture, tutorial and drill with activities to generate interest.

13. Mode of Delivery

Lecture and tutorial

2

TEACHING PLAN New Syllabus WQD 10103

14. Assessment Methods and Types

Coursework : 60 %· Quizzes : 10 %· Learning Folio: 10 %· Test 1 : 20 %· Test 2 : 20 %

Comprehensive Final Examination : 40%

15. Mapping of the Course to the Program Aims

Course PEO1

PEO2

PEO3

PEO4

PEO5

Technical Mathematics 1 X X

16. Mapping of the course to the Program Learning Outcomes

PLO1

PLO2

PLO3

PLO4

PLO5

PLO6

PLO7

PLO8

PLO9

PLO10

PLO11

PLO12

1 CO 1

5 3 4

2 CO 2

5 3 3 4

3 CO 3

5 3 3 4

4 CO 4

5 3 4

5 CO 5

5 3 4

6 CO 6

5 3 4

7 CO 7

5 3 4

3

TEACHING PLAN New Syllabus WQD 10103

Topic Remarks

1

14 Jan –18 Jan

221 Jan –25 Jan

328 Jan –1 Feb

1.0 INDICES & LOGARITHMS

1.1 Exponent· Definition· Laws of exponents· Rational, negative and zero exponents

1.2 Logarithms· Definition· Laws of logarithms

1.3 Exponential & Logarithms Equation· Definition of Exponential/ Log. function· Graph of Exponential/ Log. function· Solving Exponential/ Log. Equations

1. Briefing the course content2. Ice breaking3. Explain the lecture Notes

1. Give Tutorial 1 as exercise 2. Do and discuss exercises 3. Quiz 1

1. Explain the lecture notes2. Give some example3. Do and discuss exercises in class

4

4 Feb –8 Feb

5

18 Feb –22 Feb

6

25 Feb –1 Mac

2.0 ALGEBRA

2.1 Transposition of formula· Properties of equations· Solving linear equation with one variable· Construction of equations from verbal data

2.2 Second Degree Equation· Graphing quadratic function· Solving quadratic equations by:

i) Extraction of root theoremii) Factorizationiii) Quadratic formula

2.3 Simultaneous Equation· Equation of lines· Graph of linear equations· Solving systems of two linear equations by

i) Graphicallyii) Algebraically (Substitution &

Elimination method )

1. Explain the lecture notes2. Give some example3. Do and discuss exercise in class

1. Explain the lecture notes2. Give some example3. Do and discuss exercises in class4. Quiz 2

1. Explain the lecture notes2. Give Tutorial 2 as exercise3. Do and discuss exercises

4

TEACHING PLAN New Syllabus WQD 10103

7

4 Mac –8 Mac

2.4 Polynomial· Polynomial expressions

i) Standard form of a polynomialii) Notation for polynomialsiii) Addition and subtractioniv) Products of polynomialsv) Division of Polynomials

· Factor Theorem and Remainder Theorem· Factoring Polynomials

i) Factoring quadraticii) Factoring cubic

iii) Factoring by grouping·

1. Explain the lecture note 2. Do and discuss Exercises 3. Test 1

9

11 Mac –15 Mac

2.5 Matrices & Determinant· Matrices Operations

i) Addition and subtractionii) Multiplication by a constantiii) Multiplication of matrices

· Determinants (2x2 & 3x3 matrices)· Solving Simultaneous Equations by using

Cramer’s Rule (2x2 & 3x3 matrices)

1. Explain the lecture notes2. Give some example3. Do and discuss exercises in class

10

18 Mac –22 Mac

11

25 Mac –29 Mac

3.0 TRIGONOMETRY I

3.1 Introduction of trigonometric functions· Degree / radian measurement, arc length· Area and perimeter · Basic trigonometric functions· Co terminal angles· Reference angles

3.2 Right triangle & oblique triangle· Law of sine· Law of cosine

1. Explain the lecture notes2. Do and discuss exercises in class3.Quiz 3

1. Explain the lecture notes2. Give some example

12

1 April –5 April

4.0 COMPLEX NUMBER

4.1 Introduction of trigonometric functions· Cartesian complex numbers· The Argand diagram

4.2 Algebraic Form· Addition and subtraction· Multiplication· Complex conjugate · Properties of complex conjugate· Division

1. Explain the lecture notes2. Give Tutorial 3 as Exercise

5

TEACHING PLAN New Syllabus WQD 10103

13

8 April –12 April

14

15 April –19 April

15

22 April –26 April

4.3 Trigonometric and Polar Form· Modulus / magnitude· Argument / amplitude· Multiplication and division· De Moivre’s Theorem

4.4Exponential Form· Multiplication and division· Conjugate· De Moivre’s Theorem

4.5Exponential Form· Multiplication and division· Conjugate· De Moivre’s Theorem

1. Explain the lecture notes2.Do and discuss Tutorial 33. Quiz 4

1. Explain the lecture notes2. Give some example3. Test 2

1. Explain the lecture notes2. Give some example3. Revision question.4. Give past year question

Reference: Compulsary:1. Technical Mathematics 1 (Modules Prepared by Mathematics

Central Committee, MCC UNIKL)Additional:

1. K.A. Stroud, (2007), Engineering Mathematics, Sixth Edition, Palgrave

2. Bird. J, (2005), Engineering Mathematics, 3rd Edition, Oxford3. Peterson John C., Technical Mathematics With Calculus, 3rd

Edition, Thomas/Delmar Learning4. C.Y. Young, (2007), Algebra and Trigonometry, Wiley.

Prepared by : Rafidah Binti Ali Verified by : Mr Khairul Firdaus Adrutdin

Signature : ……………………….. Signature : ………………………..

Date : 10 January 2013 Date :

6