Module Information
Course Delivery
| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 22 Hours. (22 x 1 hour lectures) |
| Seminars / Tutorials | 11 Hours. (11 x 1 hour example classes) |
Assessment
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Exam | 2 Hours (written examination) | 100% |
| Supplementary Assessment | 2 Hours (written examination) | 100% |
Learning Outcomes
On completion of this module, a student should be able to:
1. integrate polynomials and find areas;
2. integrate selected rational functions;
3. use integration by parts and by substitution in appropriate cases;
4. calculate the partial sums of a sequence and find the sums of arithmetic and geometric progressions;
5. add and multiply matrices, compute the inverse of a 2 ? 2 matrix and use it to solve linear simultaneous equations in two unknowns.
Brief description
The purpose of this module is to introduce the basic concepts of calculus to students without A-level qualifications in Mathematics at a level suitable for application in other areas. The syllabus includes the methods of the calculus applied to simple functions leading to tangents and gradients; trigonometric functions; the logarithmic and exponential functions. Elementary integration (of polynomials) is also introduced.
Aims
To make the most fundamental notions of calculus used in other fields comprehensible to students.
Content
2. SEQUENCES AND SERIES: Recurrence relations, partial sums, arithmetic and geometric progressions, the binomial theorem.
3. INTRODUCTION TO MATRICES AND DETERMINANTS: Solution of linear equations
4. COORDINATE GEOMETRY IN THE PLANE: The straight line, conics. Plane polar coordinates.
Notes
This module is at CQFW Level 4