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Course Outline DBM10013 - Dka1a

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DEPARTMENT OF MATHEMATICS, SCIENCE

AND COMPUTER
COURSE OUTLINE
SESSION 1: 2023/2024
NAME OF COURSE ENGINEERING MATHEMATICS 1
1.
COURSE CODE DBM10013
SYNOPSIS ENGINEERING MATHEMATICS 1 exposes students to the basic algebra
including resolve partial fractions. This course also covers the concept of
trigonometry and the method to solve trigonometry problems by using basic
2. identities, compound angle and double angle formulae. Students will be
introduced to the theory of complex number and concept of vector and scalar.
Students will explore advanced matrices involving 3x3 matrix.
3. CREDIT VALUE 3
PREREQUISITE/ NONE
4.
CO-REQUISITE (IF ANY)
SEMESTER/ YEAR Semester 1/ Year 1
5.
OFFERED
LECTURER & CLASS NUR ZAHIRAH BT MOHD GHAZALI (DKA1A)
6.
03-51634000 (ext 1128)
nurzahirah.m@psa.edu.my
PROGRAMME EDUCATIONAL OBJECTIVES (PEO)
7.
DIPLOMA IN CIVIL ENGINEERING

PEO 1 working in the field of civil engineering


PEO 2 lead or a team member to support their role in industries
PEO 3 engaged in activities to enhance knowledge or starting/embark their own enterprise
PEO 4 fulfill professional and communities responsibilities, conforming to ethical and environmental values

PROGRAMME LEARNING OUTCOMES (PLO):


8.
PLO 1 Apply knowledge of applied mathematics, applied science, engineering fundamentals and an
engineering specialisation as specified in DK1 to DK4 respectively to wide practical procedures
and practices

PLO 5 Apply appropriate techniques, resources, and modern engineering and IT tools to well-defined
engineering problems, with an awareness of the limitations (DK6)

PLO 10 Communicate effectively on well-defined engineering activities with the engineering community
and with society at large, by being able to comprehend the work of others, document their own
work, and give and receive clear instructions

COURSE LEARNING OUTCOMES (CLO):


9.
Upon completion of this course, students should be able to:

CLO1 Use mathematical statement to describe relationship between various


physical phenomena. (C3, Cls 1, PLO1)
CLO2 Show mathematical solutions using the appropriate techniques in
mathematics. (C3, Cls 3c, PLO5)
CLO3 Use mathematical expression in describing real engineering problems
precisely, concisely and logically. (A3, Clks 3b, PLO10)
ASSESSMENT METHOD:
The course assessment consists of:
10. i. Continuous Assessment (CA) – 60%
ii. Final Examination (FE) – 40%

Assessment Quantity Percentage (%)


Quiz 2 10%
Test 1 15%
End of Chapter 3 20%
Presentation 2 15%

11. TEACHING SCHEDULE


Topic Topic/Content Recommended Assessment Week
No. Contact Hours Method
1.0 BASIC ALGEBRA
This topic introduces basic algebraic Lecture:
6 Hours QUIZ 1 W1-W3
concept and its use in solving linear
and quadratic equations. This topic
Tutorial: END OF
also discusses about fraction
5.25 Hours CHAPTER 1
including partial fraction.

2.0 TRIGONOMETRY
This topic explains the fundamental Lecture:
TEST 1
concept of trigonometric functions 6 Hours
PRESENTATION 1 W4 – W6
particularly the six trigonometric
rations of special angles and simple Tutorial:
trigonometric basic identities. The 6 Hours
topic also explains about
trigonometric identities, sine and
cosine rules. Skills using
trigonometric identities; sine and
cosine rules to solve simple
trigonometric equations are
discussed.

3.0 COMPLEX NUMBER


This topic discussed the difference Lecture:
5 Hours TEST 2
between real numbers and W7 – W9
imaginary numbers. Basic operation
Tutorial: END OF
on complex numbers is also
6 Hours CHAPTER 2
explained. This topic also shows the
representation of complex numbers
in the form of Argand’s diagram,
polar and exponential. Basic
operation in polar form is also
discussed.

4.0 MATRICES
This topic introduces the type and Lecture:
characteristics of matrices up to 3x3 4.5 Hours QUIZ 2
matrixes. This topic also explains W9-W11
the operation involving matrices Tutorial: END OF
such as addition, subtraction and 5.75 Hours CHAPTER 3
multiplication of matrices. The
inverse matrix method and Cramer’s
Rule is also explain to solve
simultaneous equation up to three
variable.

5.0 VECTOR AND SCALAR


This topic explains the basic Lecture:
operations vector and scalar 5 Hours PRESENTATION 2 W12-W14
quantities including their use in
solving problems. This topic also Tutorial:
explains the method for 6.5 Hours
determining angle between two
vectors as well as the
characteristics of triple vector and
scalar products.

12. REFERENCES

MAIN REFERENCE SUPPORTING THE COURSE


Bird, J. (2017). Higher Engineering Mathematics. (8th Edition). New York, NY: Routledge.

ADDITIONAL REFERENCES SUPPORTING THE COURSE


Croft A. and Davison R. (2019). Mathematics for Engineers (5th Edition). London, UK: Pearson.

Larson, R. and Edwards, B. (2018). Calculus. (11th Edition). Boston, MA. Cencage Learning.

P. M. Cohn (2017). Algebraic Numbers and Algebraic Functions. Taylor & Francis Ltd.

Zuraini Ibrahim, Suria Masnin, Fatin Hamimah, Mohamed Salleh, Myzatul Mansor dan Baharudin Azit
(2018). Engineering Mathematics 2. Shah Alam: Oxford Fajar Sdn. Bhd.

Prepared by: Verified by:

(NUR ZAHIRAH BT MOHD GHAZALI) ( SARIZUN BINTI MOHAMAD SIDEK)


Course Lecturer Course Coordinator
Date: 25.8.2023 Date: 25.8.2023

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