At the end of this course, students should be able to:
 Identify the domain and range of multivariable functions.
 Solve double and triple integrals using various techniques.
 Apply integration techniques to solve for mass, moments and lamina.
 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.
 Anton H, & Bivens I, Davis S, 2010, Calculus Multivariable, 8th edition, John Wiley.
 Edwin Kreyszig, 2009, Advanced Engineering Mathematics, 9th edition, John Wiley,.
 Donald Trim, 2008, Calculus for Engineers, 4th edition, Prentice Hall.
 Glyn James, 2007, Modern Engineering Mathematics, 4th edition, Prentice Hall.
 Stroud K. A, 2007, Engineering Mathematics, 5th Edition, Palgrave Macmillan.