COURSE OUTLINE BA201

Introduction
ENGINEERING MATHEMATICS 2 provides exposure to students regarding complex numbers which explains real and imaginary numbers. This course also emphasizes on calculus and its applications. (refer my book)


BA201 Engineering Mathematics II
Instruction Duration : 15 Weeks
Credits :2
Pre Requisite : BA201 Engineering Mathematics I
Semester : 1
Total Lecture Hour : 45

Synopsis
ENGINEERING MATHEMATICS 2 provides exposure to students regarding complex numbers which explains real and imaginary numbers. This course also emphasizes on calculus and its applications.

Topics
1.0 COMPLEX NUMBERS

• 1.1 Understand complex numbers in Cartesian form (z= a + ib).
• 1.2 Do algebraic operations on complex numbers.
• 1.3 Understand graphical representation of complex numbers through Argand’s diagrams.
• 1.4 Know complex numbers in other forms.

2.0 DIFFERENTIATION

• 2.1 Understand the differentiation rules.
• 2.2 Know the differentiation formula for trigonometric, logarithmic and exponential functions.
• 2.3 Understand parametric equation
• 2.4 Understand second order differentiation

3.0 APPLICATION OF DIFFERENTIATION

• 3.1 Understand the applications of differentiation.
• 3.2 Appreciate application of differentiation in real problems.
• 3.3 Understand kinematic problems.

4.0 INTEGRATION

• 4.1 Understand the basic integration rules.
• 4.2 Do integration for other functions.
• 4.3 Learn integration through substitution method.

5.0 APPLICATION OF INTEGRATION

• 5.1 Apply integration to find the area of bounded region.
• 5.2 Apply integration to find the volume of bounded region.
• 5.3 Interpret kinematic problems.

Course Learning Outcomes
Upon completion of this course, students should be able to:
1. Explain basic operations on complex numbers stated in various forms using algebraic operations or by  constructing Argand’s diagrams. (C2)
2. Apply various differentiation techniques to determine the derivatives of algebraic, trigonometric, logarithmic, exponential and parametric functions up to the second order including solving real life optimization and kinematic problems. (C3, P1)
3. Use suitable integration methods in solving related problems to determine the definite and indefinite integrals of algebraic, trigonometric, reciprocal and exponential functions. (C3, A1)

 

References

• Engineering Mathematics II (2011)
• Engineering Mathematics I (2011)
• Backhouse, J.K., Houldsworth, S.P.T. & Cooper, B.E.D. Pure Mathematics (2nd ed.).
• Bird, J.O. & May, A.J.C. (1997). Technician Mathematics 1 (3rd ed.). Longman.
• John Bird, Engineering Mathematics (6th edition). Paperback
• Robert Moyer. (1998). Trigonometry (3rd ed.). McGraw-Hill.
• Siti Aishah Sheikh Abdullah, Ch’ng Pei Eng, Teoh Sian Hoon, Muniroh Hamat, Noor’ Aina Abdul Razak. (2006). First Engineering Mathematics. (2nd ed.). McGraw-Hill.
• Stroud, K.A. (2007). Engineering Mathematics (6th ed.). Palgrave Macmillan.
• Thorning, D.W.S & Sadler. (1999). Understanding Pure Mathematics, Oxford University Press.