MAU11E02 Engineering mathematics II
| Module Code | MAU11E02 |
|---|---|
| Module Title | Engineering mathematics II |
| Semester taught | Semester 2 |
| ECTS Credits | 5 |
| Module Lecturer | |
| Module Prerequisites | MAU11E01 Engineering mathematics I |
Assessment Details
- This module is examined in a 2-hour examination at the end of Semester 2.
- Continuous assessment contributes 20% towards the overall mark.
- Re-assessment, if needed, consists of 100% exam.
Contact Hours
11 weeks of teaching with 3 lectures and 1 tutorial per week.
Learning Outcomes
On successful completion of this module, students will be able to
- Use standard techniques to integrate trigonometric and rational functions.
- Use integrals to compute volumes, areas and lengths.
- Evaluate improper integrals.
- Formulate and solve first-order differential equations.
- Determine whether a given sequence converges or not.
- Test a given series for convergence.
- Use polynomials to approximate a given function.
- Use vectors to solve geometrical problems in R3.
- Solve systems of linear equations and find the inverse of a matrix.
Module Content
- Techniques of integration.
- Sequences and series including simple convergence tests, Taylor and Maclaurin series.
- Vectors, lines and planes in R3, scalar and cross products.
- Matrix algebra, Gaussian elimination, inverse matrix, determinants.
Recommended Reading
- Single variable calculus: Early transcendentals by James Stewart.
- Linear algebra and its applications by David Lay.