EXPECTED LEARNING OUTCOMES

By the end of the course, the learner should be able to:

·         Carry out operations on  vectors: addition, subtraction, scalar multiplication

·         Define and perform Dot and Cross products and their basic applications

·         Differentiate vector/scalar fields and apply them in differential geometry.

·         Determine Gradient, Divergence and Curl using vector notation of the operator del.

·         Apply vector integration to determine line integrals, surface and volume integrals.

·         Apply the concepts of line, surface and volume integrals in definitions and derivation of the Green's, Stock's and Divergence theorems.

·         Describe and apply curvilinear coordinates to gradient, divergence and curl.