**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.

- Teacher: Juma Zevick