| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 22 Hours. (22 x 1 hour lectures) |
| Seminars / Tutorials | 6 Hours. (6 x 1 hour example classes) |
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Exam | 2 Hours (written examination) | 100% |
| Supplementary Assessment | 2 Hours (written examination) | 100% |
On completion of this module, a student should be able to:
1. sketch graphs of elementary functions;
2. solve inequalities by routine methods;
3. explain the geometrical significance of the derivative of a function at a point as the slope of the tangent to a curve;
4. differentiate elementary functions from first principles;
5. differentiate using the function of a function rule, the product rule, and the quotient rule;
6. differentiate parametrically and differentiate implicit functions;
7. differentiate repeatedly including using Leibnitz' theorem;
8. obtain the Taylor and Maclaurin expansions of a function;
9. evaluate indeterminate limits using L'Hopital's rule;
10. integrate using the method of substitution and integration by parts;
11. apply the theory of integration to determine the area of regions in a plane and volumes of solids of revolution;
12. locate critical points and determine their nature;
13. determine the first and second partial derivatives of functions of two variables.
This is a calculus course with the emphasis on methods, techniques and applications. The topics to be covered include differentiation, integration, Taylor and Mclaurin series, special functions, higher derivatives and partial differentiation.
To present the methods and techniques of the differential and the integral calculus so that they can be applied in a variety of contexts.
This module is at CQFW Level 4