MATH 150 Module Information Booklet

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25 May 2015
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SCHOOL OF LIBERAL ARTS & SCIENCES
American Degree Transfer Program
MODULE INFORMATION BOOKLET
Pre-Calculus
(MATH 150)
2016 SPRING SEMESTER
(14 weeks)
Prepared by:
Dr. Wong Yau Hsiung
Checked by: Approved by:
Theresa Chiew
Stream Coordinator
Mathematics Department
School of Liberal Arts and Sciences
26-Jan-2016
Prema Ponnudurai
Program Director
American Degree Transfer Program
School of Liberal Arts and Sciences
26-Jan-2016

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Introduction 2
Learning Outcomes 3
Delivery Method 5
Assessment 6
Academic Policy 8
Scheme of Work 10
INTRODUCTION
The course concentrates on: Polynomial, Rational, Exponential, Logarithmic and
Trigonometric Functions, with applications to problems in mathematics and the sciences.
Lecturers’ Detail:
Lecturer Name : Dr. Wong Yau Hsiung
Email Address : YauHsiung.Wong@taylors.edu.my
Telephone No : 603-5629 5119
Office : ADP Office room 10
Consultation Hour : Tuesday and Thursday 11:30am-2pm
CONTENT PAGE NO.

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LEARNING OUTCOMES
At the end of this course, students should be able to:
1. State and apply basic definitions, properties and theorems of Pre-Calculus
2. Solve higher order polynomial equations, rational inequalities and equations,
systems of inequalities and equation, more complex trigonometric equations,
exponential and logarithmic equations
3. Analyze and graph functions, systems of inequalities and conics
4. Model and solve problems using properties of exponentials, logarithms, sequences
and series, systems of equations, and the binomial theorem.
5. Utilize appropriate technology
PRE-REQUISITE / ASSUMED KNOWLEDGE: (IF ANY)
A minimum grade of C in SPM Additional Maths, its equivalent or a pass in MATHS 110.
CO-REQUISITE : (IF ANY)
None

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TAYLOR’S GRADUATE CAPABILITIES (TGCs)
This module hopes to prepare students with several important soft skills identified by the
university known ‘Taylor’s Graduate Capabilities (TGCs)’. There are eight (8) elements listed
under TGCs as follows:
A. KNOWLEDGE
TGC 1: Discipline Specific Knowledge
1.1 Able to put theories into practice.
1.2 Understand ethical issues in the context of the field of study.
1.3 Understand professional practice within the field of study.
B. COGNITIVE SKILLS
TGC 2: Lifelong Learning
2.1 Learn independently
2.2 Locate, extract, synthesize and utilize information effectively.
2.3 Be intellectually engaged
TGC 3: Thinking & Problem Solving skills
3.1 Think critically and creatively.
3.2 Define and analyze problems to arrive at effective solutions.
C. SOFT SKILLS
TGC 4: Communication Skills
4.1 Communicate appropriately in various settings and modes.
TGC 5: Interpersonal Skills
5.1 Understand team dynamics and work with others in a team.
5.2 Understand and assume leadership.
TGC 6: Intrapersonal Skills
6.1 Manage one self and be self-reliant.
6.2 Reflect on one’s actions and learning.
6.3 Embody Taylor’s core values.
TGC 7: Citizenship and Global Perspectives
7.1 Be aware of and form opinions from diverse perspectives.
7.2 Understand the value of civic responsibility and community engagement.
TGC8: Digital Literacy
8.1 Effective use of Information and Communications Technology (ICT) and related
technologies.
*Specifically, this module is designed to equip students with TGC1, 2 and 3 as above.

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TEACHING AND LEARNING METHODS
√ LECTURES
Lectures are direct communication between students and lecturers in the lecture hall in
which the lecturer conveys information to the students. Two-way interaction is minimal as it
focuses on the explanation and discussion of the concepts, theories and examples related to
the topics.
Class attendance is compulsory. Students are advised to attend lectures because important
information related to the module such as syllabus as well as types and method of
assessment will be covered during the lecture sessions. Failure to attend lectures may lead
to confusion and misunderstanding on the module assessment and topics discussed in the
coming classes.
REMINDER: Students who fail to maintain a minimum of 80 percent attendance might be
barred from sitting for the final examination.
√ SELF-INDEPENDENT STUDY
Students are responsible to do exercises, self-studying and search for additional information
and references from the library or the internet. Students should not expect they can master
the module by attending lectures only. Students also should not fully rely on information
and materials provided by the lecturer.
UNIT VALUE OF MODULE
3 credit hours
MAIN REFERENCE
 Sullivan, Michael. Precalculus. Prentice Hall, 2012, 9th edition
ADDITIONAL REFERENCES
 Swokowski/Cole. Precalculus: Functions and Graphs. Thomson.
 Sullivan, Michael. Algebra & Trigonometry. Prentice Hall, 8th Edition, 2008 or latest
 Connally, Hughes Hallett, Gleason. A Preparation for Calculus. 3rd ed
DELIVERY METHOD

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ONLINE SUPPORT
 Taylor’s Integrated Moodle e-Learning System (TIMeS)
Taylor’s University provides a portal on Learning Management System known as Taylor’s
Integrated Moodle e-Learning System (TIMeS). Students can conveniently access to the
following module resources through TIMeS Portal.
 Module Information Booklet
 Lecture Slides
 Tutorial Questions and Quizzes
 Related documents such as Assignment Cover Form, Assignment Feedback
Form, etc.
 Important announcement such as exam date, assignments due date, class
postponement, etc.
 Other module information
Students are advised to visit TIMeS Portal every day to get latest information on the
module.
ASSESSMENT
ASSESSMENT SUMMARY
Form of
Assessment
Length/
Duration
Marks Learning
Outcomes
TGCs Achieved
Attendance
and class
participation
- 10% - -
Continuous
Assessment:
Quiz, Test and
Assignment
1 ½ hours 60% 1,2,3,4,5,6,7
Final Exam 2 hours 30% 1,2,3,4,5,6,7
TOTAL 100%

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ASSESSMENT COMPONENTS
ASSIGNMENT
This task is to be done individually or in group and students are to work collaboratively.
Refer to the assignment guideline for details.
QUIZ AND TEST
This is an individual assessment which will be conducted online via TIMeS Portal within
certain period of time only.
FINAL EXAMINATION
Final examination is a closed-book examination. It seeks to determine students’ individual
effectiveness in responding to specific questions under time-constrained invigilated
conditions.
*Students are required to sit/attempt the final examination. Failure to do so would result
in a fail grade (F).
ASSESSMENT DETAILS
If a student is unable to participate in any assessment, notification should be given to the
lecturer concerned within 24 hours of the assessment time. By producing proper
documentation upon returning, the student can request for an assessment of equivalent
level within 3 days.
Students are awarded a final grade which corresponds with the marks obtained.
All students must adhere to the Taylor’s University’s Examinations, Assessment Policies
and Procedures manual available at http://portals.taylors.edu.my.

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ACADEMIC POLICIES
Attendance
Class attendance is compulsory. Students are advised to attend lectures because important
information related to the module such as syllabus as well as types and method of
assessment will be covered during the lecture sessions. Failure to attend lectures may lead
to confusion and misunderstanding on the module assessment and topics discussed in the
coming classes. Only absences with valid reasons and documented proof will be accepted.
REMINDER: Students who fail to maintain a minimum of 80 percent attendance will be
barred from sitting for the final examination.
Plagiarism
Plagiarism is the use of someone else's language, ideas, information or original material
without acknowledging the source. All students are expected to attend a course on proper
usage of referencing.
Plagiarism is a serious offence and any individual (who is suspected of plagiarism) would be
referred to the Academic Integrity Committee of Taylor's University. Please refer to the
Student Handbook for further information.
Tardiness
POSITIVE ATTITUDE means, among others, being on time at the designated place. Tardiness
reflects bad planning and being rude to the person(s) who has/have been kept waiting.
Being late to class without valid reasons will be construed as unexcused absence (although
you will be allowed to attend the class).
Class conduct
No eating or drinking will be allowed during the lecture. All electronic devices (mobile
phones, tablets or laptops) should be turned off during lecture hours, unless permitted for
class use by the lecturer. If you have any questions during the lecture, do not hesitate to
raise your hand to clear your doubt. Class participation during discussion is encouraged.
Assignments
All assignments must be submitted on or before the scheduled date and time. Penalties will
be imposed for late submissions.
Repeat
Students are only allowed to repeat a course for a maximum of 3 times over the duration of
study, if they fail. Students are advised to retake the course if they obtain any grade below C
in the subsequent semester. A student has to obtain 70% or a min C grade in order to Pass
the course.

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GRADING
Percentage Grade Points per Credit Hour Definition
97% - 100% A+ 4.00
Outstanding90% - 96% A 4.00
87% - 89% A- 3.70
84% - 86% B+ 3.30
Very Good
80% - 83% B 3.00
77% - 79% B- 2.70 Good
74% - 76% C+ 2.30
Average
70% - 73% C 2.00
67% - 69% C- 1.70
Below Average
64% - 66% D+ 1.30
60% - 63% D 1.00
55% - 59% D- 0.70
0% - 54% F 0.00 Fail
N/A W N/A Withdraw
N/A I N/A Incomplete
N/A P N/A Pass

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SCHEME OF WORK
Course Schedule (the course instructor reserves the right to modify the work schedule as and when deemed necessary)
Week Topic Learning
Outcomes
Teaching & Learning
Activities
Readings Assessm
ent
Taylor’s
Graduate
Capabilities
Week 1,
Unit 1 : Graphs
 Coordinate Systems
 Distance Formula
 Graphs of Equations
straight Lines
1,2,3,4
1. Lecture on basics on
graphs
2. Graph technology
using patterns.
3.Practice exercises and
examples..
Chp 1.1
Chp 1.1
Chp 1.2
Chp 1.3
Week 2
 Circles
Unit 2 : Functions and Graphs
 Functions
 The Graph of Function
 Properties of Functions
1,2,3,4,5
1. Equation of circle and
its derivation .
2. Completing the square
method to establish
equation of circle
3. Questions and answers
Chp 1.4
Chp 2.1
Chp 2.2
Chp 2.3
Quiz 1
Week 3
(holiday)
Week 4
 Library of Functions
 Graphing Techniques
 Mathematic Models
1,2,3,4,5
1. Graphing methods and
identifying root graphs.
2. Demonstrate patterns
of shifting graphs
3. Practice questions and
answers
Chp 2.4
Chp 2.5
Chp 2.6
Chp 3.3
Week 5,
6
Unit 3 Quadratic Functions
 Quadratic Functions and
Optimization
 Building Quadratic Models
 Inequalities Involving
Quadratic Functions
1,2,3,4
1.Quadratic functions
and shapes of graphs.
2.Inequality solutions
using quadratic graphs.
3. Question and answers.
Chp 3.4
Chp 3.5
Chp 4.1
Chp 4.2
Test

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Week Topic Learning
Outcomes
Teaching & Learning
Activities
Readings Assessm
ent
Taylor’s
Graduate
Capabilities
‘
Week 7
Unit 4 : Polynomial & Rational
Functions
 Polynomial Functions and
Models
 Properties of Rational
Functions
 The Graph of a Rational
Function
1,2,3,4 1.Lectures on models of
polynomials.
2. Rational functions and
their properties shown
through examples .
3. Exercises to enforce
the properties
Chp 4.3
Chp 4.4
Chp 4.5
Week 8
 Polynomial and Rational
Inequalities
 The Real Zeros
 Complex zeros 1,2,3,4,5
1. Students to work out
the zeros and tie it with
graphs.
2. Complex roots of a
polynomials.
3. Exercises to obtains
all roots.
Chp 4.6
Chp 5.3
Chp 5.4
Chp 5.5
Quiz 2
Week 9
Unit 5 : Exponential &
Logarithmic Functions
 Graphs
 Properties
 Basic Equations
1,2,3,4,
1.explain exponential
concepts and its real life
uses.
2. Illustrate with graphs.
3.Exercises, question and
answer ..
Chp 5.6
Chp 5.7
Week 10  Financial Models – Compound
Interest Applications
 Exponential Growth and
Decay Applications

1,2,3,4
1.Develop simple
financial models.
2.Demonstrate these
with examples
3.Real life use of
exponential functions.
.
Chp 5.8
Chp 6.1
Quiz 3

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Week Topic Learning
Outcomes
Teaching & Learning
Activities
Readings Assessm
ent
Taylor’s
Graduate
Capabilities
Week 11
Unit 6 : Trigonometric Functions
 Angles and Their Measure
 Unit Circle Approach 1,2,3,4
1. Explain concept of
radian and degree.
2. Work out examples on
circular measure
3.Demonstrate concept
using unit circle.
4.Sketch and show
patterns of trigonometric
functions.
Chp 6.2
Chp 6.3
Week 12
 Properties of trigonometric
graphs
 Revision
1,2,3 1.Explain the properties
of graphs
2, Exercises.
Chp 6.4 –
Chp 6.6
Week 13 Unit 7 : Inverse Trigonometric
Functions
 Inverse Trigonometric
Functions
 Trigonometric Equations &
Identities
1,2,3,4
1.Lecture on inverse
concepts.
2.Demonstrate concepts
with definitions.
3.Questions and answers.
Chp 7.1
Chp 7.2
Chp 7.3
Chp 7.4
Test 2
Week 14  Sum and Difference Formulae
1,2,3,4
1.Introduce the sum and
difference formulae.
2. Discuss the concept
with examples.
3, Exercises to reinforce
these formulae.
Chp 7.5

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Week Topic Learning
Outcomes
Teaching & Learning
Activities
Readings Assessm
ent
Taylor’s
Graduate
Capabilities
Week
14
 The laws of Sines and Cosines
1,2,3,4
1.Demonstrate the laws
with examples
Chp 8.2
Chp 8.3
Week 15 Exam Week 1,2,,3,4 All
chapters
Final
Exam

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