# ETS2000 - Advanced quantitative methods - 2017

## 6 points, SCA Band 3, 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Organisational Unit

Department of Econometrics and Business Statistics

Coordinator(s)

Unit guides

Offered

South Africa

• First semester 2017 (Day)

## Synopsis

The purpose of this module is to develop a scope of knowledge of the main areas of the theory of single variable and multivariable calculus, namely differentiation and integration of one or more variable functions by means of first principles and otherwise, and to include an understanding of the key terms, concepts, facts, principles, rules and theories pertaining to single and multivariable variable calculus.

## Outcomes

The learning goals associated with this unit are for students to understand the following concepts:

1. functions and limits
2. derivative, derivative as a function, higher derivatives
3. application of differentiations: maximum and minimum values, graphs, limits at infinity, optimisation problems
4. integrals: areas and distances, definite and indefinite integrals, fundamental theorems of calculus
5. applications of integrations: areas between curves
6. exponential functions and their derivatives
7. techniques of integration
8. differential equations
9. infinite series and sequences
10. partial derivatives
11. multiple integrals

## Assessment

Within semester assessment: 40% + Examination: 60%