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No. Detail Information on Every Subject1. Name of Subject: Mathematics I2. Code: FHMM10143. Classification: Major

4. Credit Hours: 45. Trimester and Year Taught: 1/16. Prerequisite (if any): Nil7. Method of Delivery: Lecture and Tutorial8. Valuation:

Coursework(Test: 40%)

40%

Final Examination 60%9. Teaching Staff:

-10. Objective of Subject:

The aim of this unit is to study the basic algebra, vector, and trigonometry

11. Learning Outcomes of Subject (LO):At the end of the course, students should be able to:1. Define and understand various types of numbers and set.2. Use series to approximate functions.3. Solve geometric problems in space using vector methods.4. Apply vector methods to solve problems of forces, velocity and relative velocity.5. Understand the definitions and principles of trigonometry and their application to

problem solving.

12. Synopsis:This course covers topics on Number and Set, Polynomial, Sequences and Series,

Vectors and Trigonometry.

13. Subject Outline and Notional Hours:

Topic Content LearningOutcome

Notional HoursL T SL TSL

Topic 1 Number and Set

Real number system. Indices.Logarithm

Laws of indices and logarithm

Complex numbers. Modulus andargument. Addition andmultiplication

Complex conjugate. Arganddiagram. Polar form

Multiplication and division of twocomplex numbers in polar form

Set. Basic operations and rules

LO1 7 2 16 25

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Topic 2 Polynomial

Algebraic operations onpolynomials and rational functions

Solution of quadratic equations byfactorization, completing the squareand use of quadratic formula

Factors of polynomials. Remaindertheorem. Factor theorem

Partial fractions Solving linear, quadratic and cubic

inequalities, and inequalitiesinvolving modulus and rationalfunctions

LO1 8 2 18 28

Topic 3 Sequences and Series

Sequences. Notation

Arithmetic and geometricprogressions. Their sums to nterms. Sum to infinity of geometricseries

Binomial expansion for integral andfraction indices

Use of series for approximations

LO2 8 3 19 30

Topic 4 Vectors Vectors in the plane xi + yj.

Magnitude. Position vector. Unitvector

Operations: Addition, subtraction,scalar multiplication and scalarproduct

Use scalar product to determineangle between two vectors

Use of vectors to prove simplegeometry rules

Problems involving forces, velocityand relative velocity treated asvectors

LO3LO4

5 2 12 19

Topic 5 Trigonometry

Solution of a triangle. Laws of sineand cosine. Area of triangle.

Trigonometric identities.

Use the formulae for sin(A B),cos(A B),tan(A B), sin A sin B and cosA cos B.

Expression of a sin+ b cosinthe form

LO5 8 3 19 30

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