INTERNATIONAL ISLAMIC UNIVERSITY MALAYSIA
COURSE OUTLINE
Kulliyyah
Centre for Foundation Studies
Department
Department of Mathematics
Programme
Engineering, Information and Communication Technology, Physical Science.
Course Title
Mathematics II
Course Code
SEF1124
Status
Core Course
Level
2
Credit hours
4
Contact hours
5
Pre-requisites
Mathematics 1 ( SHE1114 )
Co-requisites
Nil
Instructor(s)
Semester offered
MG 6/1/12
Azizul Azlan Abdul Aziz
Norasfarizan Khaidzir
Dayana Ibrahim
Nur Azila Mohd Zain
Faizah Jaafar
Ruslina Yacob
Hasnun Zahibi
Salbi Dollah
Hazaliza Mat Zaen
Salina Mohin
Juhaidah Hairom
Sa’yah Abdullah
Kartini Ahmad
Siti Nubailah Mat Yaacob
Mahiran Ghazali
Suhaila Bahrom
Muhammad Izzudin Sidek
Zahir Hanouf
Semester III, 2012/2013
1
Course Synopsis
This course covers topics on trigonometric functions, polar coordinates, complex numbers,
vectors, analytic geometry, counting techniques and probability and statistics.
Course Objective
The objectives of this course are to:
understand and use mathematical terms , notations, principles and methods;
perform calculations accurately ;
understand and use information in tabular , diagrammatic , and graphical forms;
present mathematical arguments in a logical and systematic manner;
acquire and become familiar with appropriate mathematical skills and techniques;
develop their ability to think clearly , work carefully and communicate mathematical
ideas successfully;
7. acquire a suitable foundation for further study of mathematics and related disciplines.
1.
2.
3.
4.
5.
6.
Learning
outcomes
At the end of this course, students should be able to:
1.
Instructional
Strategies
Course
Assessment
MG 6/1/12
Apply the graphical and geometric properties of trigonometric functions and its
inverse to evaluate trigonometric expressions.
2. Transform between polar and rectangular forms of complex numbers; apply De
Moivre’s Theorem and determine complex roots.
3. Analyze vectors geometrically (displacement and velocity) and algebraically (dot
product, cross product).
4. Analyze conics like parabola, ellipse and hyperbola, and determine the intersection
between a conic and a line.
5. Solve problems using the counting techniques and probability of events.
6. Organize, analyze and present data using statistical methods.
7. Develop leadership quality, managerial skills, team skills and confidence.
Lectures and tutorials
LO
METHOD
1,2,3,4,5
Tutorial test
10
1,2,3,4,5
Quizzes
10
6,7
Mini Project
5
1
Mid-Semester Examination
25
2,3,4,5,6
End-of-Semester Examination
50
Total
100
%
2
Course Outlines/
Contents
Week
1
Topics
Task / Assignment
1
Salina Mohin,
Chapter 1
TRIGONOMETRIC FUNCTIONS
1.1 Angles and Their Measure
1.2 Trigonometric Functions: Unit
Circle
1.3 Properties of Trigonometric
Functions
1.4 Trigonometric Graphs
21/1 – 26/1
1.4 Trigonometric Graphs
(continued)
2
28/1 – 2/2
2
4/2 –9/2
4
11/2 –16/2
5
18/2 – 23/2
6
25/2 – 2/3
7
4/3 – 9/3
MG 6/1/12
3
24/1
Maulidur Rasul
27/1 (Sunday)
Thaipusam
Salina Mohin,
Chapter 2
pp 80 - 94
ANALYTIC TRIGONOMETRY
2.1 Inverse Trigonometric
Functions
2.1 Inverse Trigonometric
Functions (continued)
2.2 Trigonometric Identities
2.3 The Addition and Subtraction
Formulas
3
pp 1 - 5
pp 8 - 32
pp 34 - 37
pp 38 – 40
pp 42 - 49
Important Dates
pp 52 - 55
pp 56 - 63
10-11 Feb
Chinese New
Year
Tutorial Test 1
QUIZ 1
2.3 The Addition and Subtraction
Formulas (continued)
2.4 Double Angle and Half-Angle
Formulas
2.5 Product-to-Sum and Sum-to
Product Formulas
2.5 Product-to-Sum and Sum-to
Product Formulas (continued)
2.6 Trigonometric Equations
pp 66 - 74
pp 76 - 78
POLAR COORDINATES; VECTORS
Salina Mohin,
Chapter 3
pp 109 - 120
pp 123 -132
Tutorial Test 2
QUIZ 2
pp 137 – 146
pp 148 - 153
Select Topic For
Mini Project
(Approval from
Instructor)
3.1 Polar coordinates.
3.2 Polar form of complex
numbers ; De Moivre’s
Theorem
3.2 Polar form of complex
numbers ; De Moivre’s
Theorem (continued)
3.3 Introduction to Vector
3.4 The Dot Product (Scalar
product)
pp 95 - 105
3
11/3 – 16/3
MID SEMESTER BREAK
8
3.5 The Dot Product (Scalar
product) (continued)
3.6 Vectors in Space (Vectors in
three dimension)
18/3 - 23/3
9
25/3 - 30/3
3.7 Vector Product(Cross
Product)
4
ANALYTIC GEOMETRY
4.1 Circles
4.2 Parabola
10
4.2 Parabola (continued)
4.3 Ellipse
4.4 Hyperbola
1/4 – 6/4
11
8/4 –13/4
5
12
15/4 –
20/4
6
pp 155 – 157
Salina Mohin,
Chapter 4
pp 160 – 163
pp 164 - 171
Tutorial Test 3
QUIZ 3
pp 173 – 180
pp 182 - 189
pp 191 - 192
STATISTICS
5.1 Presentation of data
Variables and Types of data,
Data collection
5.2 Frequency Distributions and
Graphs
Organizing data, Histograms,
Frequency Polygons and
Ogives
5.2 Organizing data, Histograms,
Frequency Polygons and
Ogives (continued)
5.3 Data description
Measures of Central Tendency
Measures of Variation
Salina Mohin,
Chapter 5
pp 197 – 202
pp 204 – 214
PERMUTATION &
COMBINATION, PROBABILITY
6.1 Counting Rules
MG 6/1/12
MID-SEMESTER
EXAMINATION
24 / 03 (Sunday)
830 – 1030 am
4.4 Hyperbola (continued)
4.5 Intersection between conics
and lines
13
22/4 – 27/4
pp 155 - 157
pp 217 - 233
pp 235 - 241
Collect Data for
Mini Project
Tutorial Test 4
QUIZ 4
Salina Mohin,
Chapter 6
pp 256 - 268
(exclude
permutation in a
circle pg 261)
4
6.2 Sample Spaces and
Probability
6.3 The Addition Rules for
Probability
6.4 The Multiplication Rules &
Conditional Probability
6.5 Probability & Counting Rules
14
29/4 – 4/5
15
pp 270 – 278
pp 279 – 285
pp 287 – 295
pp 297 - 302
Revision Period
6/5 – 12/5
16
Tutorial Test 5
QUIZ 5
1/5
Labor Day
Submit Mini
Project (6/5)
Examination
13/5 – 23/5
Required:
1) Mathematics and Statistics for Pre-University
Author: Salina Mohin etc.
Publisher: Cengage Learning Asia Pte. Ltd. 2012
Recommended:
1) Precalculus – 5th edition
Author: Stewart, J., Redlin, L., & Watson, S.
Publisher: Thomson Brooks/Cole
2) Mathematics for Matriculation Semester 2
Author: Tan Chong Eng, Ong Beng Sim, Khor Bean Hwa, Lye Min Soon.
Publisher: Fajar Bakti Sdn. Bhd.
3) Precalculus – 8thedition
Author: Sullivan, M.
Publisher: Pearson, Prentice Hall.
4) Elementary Statistics – A step by step Approach
8th Edition
Author: Bluman, A.G.
Publisher: McGraw Hill
MG 6/1/12
5