# Mathematics 221

University of the Western Cape

## Course Description

• ### Course Name

Mathematics 221

• ### Host University

University of the Western Cape

• ### Location

Cape Town, South Africa

• ### Area of Study

Mathematics, Natural Sciences

• ### Language Level

Taught In English

• ### Prerequisites

[Pre-requisites: MAT105 (or MAM151 and MAM152)]
[Co-requisite: MAT211]

• ### Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• Host University Units

20
• Recommended U.S. Semester Credits
4 - 5
• Recommended U.S. Quarter Units
6 - 7.5
• ### Overview

Paper 1
· Vector fields.
· Line integrals and independence of path.
· Green?s Theorem.
· Surface integrals and the Ddivergence theorem.
· Stokes? Theorem.
· Applications to fluid flow and heat.

Paper 2
· Sets, relations, functions, partitions and binary operations on sets.
· Integers, rational numbers and real numbers.
· Introduction to groups and rings and partially ordered sets.
· Cardinal numbers and ordinal numbers.

Main Outcomes:
On completing this module students will be able to:
· Perform basic operations in vector fields.
· Evaluate and interpret line integrals.
· Use Green?s Theorem to evaluate line integrals.
· Use the Divergence Theorem to evaluate surface integrals.
· Apply Stokes? Theorem to vector fields.
· Identify properties of sets, relations and functions.
· Identify and prove properties of groups, rings and partially ordered sets.