(BMFG 1113)


Learning Outcomes

At the end of this course, students should be able to:

[1]  Identify the domain and range of multivariable functions.

[2]  Solve double and triple integrals using various techniques.

[3]  Apply integration techniques to solve for mass, moments and lamina.

[4]  Perform the given tasks that pertain to engineering problems using vector-valued functions.


This course consists of three chapters: Functions of Several Variables, Multiple Integrals and Vector-valued Functions. The syllabus is developed by introducing the concepts of the functions with severable variables, integration and also vector-valued function, followed by learning various techniques in solving the problems and its application in physical and engineering fields.


[1]  Anton H, & Bivens I, Davis S, 2010, Calculus Multivariable, 8th edition, John Wiley.

[2]  Edwin Kreyszig, 2009, Advanced Engineering Mathematics, 9th edition, John Wiley,.

[3]  Donald Trim, 2008, Calculus for Engineers, 4th edition, Prentice Hall.

[4]  Glyn James, 2007, Modern Engineering Mathematics, 4th edition, Prentice Hall.

[5]  Stroud K. A, 2007, Engineering Mathematics, 5th Edition, Palgrave Macmillan.