1.
Name of Course
Mathematics IV
2.
Course Code
PMTH1044
PMTH = the first alphabet identify the faculty within which the subject is offered., PMTH = the remaining three alphabet
identify the course that offers the subject, 1044 = the first digit identify level of study; in this case undergraduate level, 1044
= the second and third digits identify subject identity and1044 = the fourth digit identify credit value or credit hours
3.
4.
5.
6.
Name(s) of academic staff
Rationale for the inclusion of the course/module in
the programme
Semester and Year offered
Total Student Learning Time
(SLT)
L = Lecture
P = Practical
7.
8.
9.
T = Tutorial
O= Others
To be Assigned
Major
A solid mathematical ability at a basic level is essential
for the understanding of the principles and the
application of techniques in Engineering science. The
aim of the module is to develop the student's
mathematical knowledge and to provide the student
with all the necessary techniques and methods for the
analysis and solutions of problems in Engineering fields.
2/1
Total Guided and Independent Learning
Face to Face
L
T
P
O
56
1
4
-
98
Credit Value
Lecture: 4 hours per week x 14 weeks
Practical: 2 hours fortnightly x 7 weeks
Prerequisite (if any)
4.0
Mathematics II (PMTH1024)
Course Objectives
This course introduces the student to the Knowledge of integral calculus and application in engineering.
Course Learning Outcomes (CLO)
At the end of the semester students should be able to:
CLO1: to enable student to understand the conic section and polar coordinates
CLO2: to enable student to solve the complex number, sequences and series
CLO3: to enable student to solve the integration of trigonometric functions
10. Transferable Skills:
This course is expected the development of the following transferable skills:
 An ability to manage time and task
 An ability to learn both independently and co—operatively;
 An ability to solve basic concept of mathematical problem and application in solving real life problem
11. Teaching-learning and assessment strategy
Teaching and Learning strategy
Formal Lectures will provide theoretical understanding for CLO1,
Assessment Schedule and strategy
1. Assessment Schedule:
 Quizzes will be conducted on 4th week to demonstrate the CLO1.
 Midterm Exam will be conducted on 7th week to demonstrate CLO1 and CLO2
 Assignment to will be given on the 9th week to demonstrate CLO3
 A three Hours Examination will be conducted 16th week to assess CLO1, CLO2 and CLO3
2. Assessment strategy:
Quizzes (Q)
10%
Midterm Exam (ME)
20%
Assignment (A)
10%
Final Exam (FE)
60%
Total
100%
12. Synopsis:
This course provides calculus topics such as integration. The topics are completely different from those of
algebra and geometry because in these topics student will learn important rules for finding derivatives and how
to use it to analyze the rate of change of quantity. Integral calculus is concerned with the reverse process of the
derivatives.
13. Mode of Delivery:
Lectures
Tutorials
14. Assessment Methods and Types:
Performance Criteria :
CLO-PLO
Assessment
Tool
1
2
3
4
5
0-39
40-49
50-59
60-74
75-100
(F)
(D,D+)
(C-,C,C+)
(B-,B,B+)
(A-,A,A+)
CLO1:
to
enable Q, ME , FE
student
to
understand the conic
section and polar
coordinates
CLO2:
to
enable ME, FE
student to solve the
complex
number,
sequences and series
Fail To:
- learn both
independently
and
cooperatively
Poor To:
- learn both
independently
and
cooperatively
Satisfactory To:
- learn both
independently
and
cooperatively
Good To:
- learn both
independentl
y and
cooperatively
Fail To:
- learn both
independently
and
cooperatively
Poor To:
- learn both
independently
and
cooperatively
Satisfactory To:
- learn both
independently
and
cooperatively
Good To:
- learn both
independentl
y and
cooperatively
A, ME, FE
Fail To:
- learn both
independently
and
cooperatively
Poor To:
- learn both
independently
and
cooperatively
Satisfactory To:
- learn both
independently
and
cooperatively
Good To:
- learn both
independentl
y and
cooperatively
Outstanding
To:
- learn both
independentl
y and
cooperatively
Outstanding
To:
- learn both
independentl
y and
cooperatively
Outstanding
To:
- learn both
independentl
y and
cooperatively
Marks
Grade
CLO3:
to enable
student to solve the
integration
of
trigonometric
functions
Fundamental
PO1:
knowledge
PLO7: Ability to use the skills, techniques, and
contemporary tools necessary for engineering course
study.
PLO8: - Understanding of the need to undertake life-long
learning, and an ability to do so by taking up the
opportunities available in the different fields
PLO6: Understanding of professional and ethical
responsibilities and commitment to them.
PLO5: Ability to communicate effectively to successfully
enrol into engineering degree course
PLO4: - Ability to undertake problem identification,
formulation and solution;
Programme Objectives (PO)
PLO3: Understanding of the rapid development of
engineering industry
PLO1: - Knowledge of the Mathematics, Physics and
Chemistry
Programme Learning
Outcomes (PLO)
PLO2: Ability to apply knowledge of Mathematics and
science
15. Mapping of the Programme Objectives to the Programme Learning Outcomes
of
mathematics and basic science to enable
them to gain entry into the bachelor of
3
3
1
3
3
1
1
3
1
1
1
1
3
3
1
1
engineering degree course.
PO2:
Proficiency
in
communication,
understanding of professional ethics, and
the ability to demonstrate success and
leadership, as well as the ability to
engage
in
continuing
professional
development.
1= Related to PLO without formal assessment;
2= Partial fulfilment of the PLO with formal assessment;
3= Total fulfilment of PLO with formal assessment.
16. Mapping of the course Learning Outcome to the Programme Outcome
PLO3
PLO4
PLO5
PLO6
PLO7
PLO8
CLO1: to enable student to understand 3
the conic section and polar coordinates
CLO2: to enable student to solve the 3
PLO2
Course Learning
Outcome (CLO)
PLO1
Programme Learning
Outcomes (PLO)
3
1
3
1
1
3
1
3
1
3
1
1
3
1
complex number, sequences and series
CLO3: to enable student to solve the 3
integration of trigonometric functions
3
1
1= Related to PLO without formal assessment;
2= Partial fulfilment of the PLO with formal assessment;
3= Total fulfilment of PLO with formal assessment.
17. Content outline of the course/module and the SLT per topic
Details
3
1
1
3
1
SLT
L
T
P
O
Tota
l
14
24
Topic 2
Topic 1
Conic sections
 Conic sections
 Eccentricity
 Quadratic equation and rotations

polar coordinates




Polar coordinates
Graphing in polar coordinates
Area and lengths
Conic section in polar coordinates
8
2
-
8
2
-
14
24
12
3
-
21
36
8
2
-
14
24
8
2
-
14
24
Topic 3
Complex number





Complex number
Operation on complex numbers
Complex conjugate
Polar form
DeMooive’s theorem
Topic 4
sequences and series



Sequences
Monotone sequences
Infinite series
Topic 5
Convergence tests




The integral tests
Comparison test
The ratio and root tests
Alternating series: absolute and conditional convergence
Topic 6
Power series



MacLaurin and Taylor polynomial
MacLaurin and Taylor series
Convergence of Taylor series
Total SLT Hour
12
3
-
56
14
-
21
98
36
168
18. Main references supporting the course
1. Howard Anton, Irl C. Bivens, Stephen Davis,Calculus Late Transcendentals, 9th Edition, John Wiley &
Sons, Inc, 2010
2. Peter V. O’Neil, Advanced Engineering Mathematics, 1st Edition, Thomson, 2010
3. Dennis G. Zill, Micheal R. Cullen, Advanced Engineering Mathematics, 3rd Edition, Johnes and Barlett
Publisher, 2006
19. Additional references supporting the course
1. Strond, K.L, (1995). Engineering Mathematics 4th edition, Macmillan Press Ltd England.
2. Krey SR.g E (1999) advanced Engineering Mathematics 8th edition John Wiley and Sons Inc.
20. Other additional information
All materials will be available to the students in the library.