MATH06100 2019 Mathematics 2
Develop skills in calculus with further differentiation techniques.
Introduction to integration, and integration techniques including substitution rule, integration by partial fractions, and integration by part.
Factor and remainder theorems.
Complex numbers are important in many engineering applications.
First order differential equations.
Learning Outcomes
On completion of this module the learner will/should be able to;
Apply differentiation techniques for example, logarithmic, parametric, implicit, and partial differentiation .
Introduce complex numbers, graphing, Cartesian, polar forms, addition, subtraction, multiplication and division of complex numbers, deMoivre's theorem.
Introduction to integration, standard integrals, substitution rule, integration by parts.
Integration using partial fractions.
Solve first order differential equations using seperation of variables
Factor & Remainder theorems.
Teaching and Learning Strategies
This module will be taught year long with a mixture of theory classes and weekly tutorials where the students work in groups solving exercises based on the previous weeks class.
Module Assessment Strategies
Tutorials each week, plus a final exam.
Repeat Assessments
Students may have to repeat tutorials, final exam or both. Repeat tutorials will be dine using Moodle,
Indicative Syllabus
- Review differentiation using using product, quotient and chain rules applied to various problem
- Differentiation of parametric and implicit functions. Use of logarithmic differentiation.
- Partial differentiation of functions such as z =f(x,y,w) and its application in finding small incremental changes and rate of change problems.
- Complex numbers, what are they, graphs, Cartesian and polar forms, arithmetic using complex numbers. DeMoivre's theorem.
- Integration of x^{n },sin(f(x)), cos(f(x)),e^{f(x) },ln(f(x)). Use methods of substitution, partial fractions, and integration by parts to integrate further functions.
- First order differential equations solved by direct integration and by separation of variables methods.
- Factor and Remainder theorems.
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Weekly tutorial. | Continuous Assessment | Open Book Exam | 30 % | OnGoing | 1,2,3,4,5,6 |
End of Semester / Year Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Final Exam | Final Exam | UNKNOWN | 70 % | End of Term | 1,2,3,4,5,6 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Flat Classroom | Theory | 2 | Weekly | 2.00 |
Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |
Independent Learning | UNKNOWN | Review of course work | 6 | Weekly | 6.00 |
Required & Recommended Book List
2015-06 Fundamentals of Engineering Mathematics (Ice Textbook Series) ICE Publishing
ISBN 0727758411 ISBN-13 9780727758415
The purpose of this book is to bridge the gap between the level of mathematical engineering knowledge students have following their A-levels and the level of information a first year student will need in their undergraduate mechanics course.
Module Resources
Authors |
Title |
Publishers |
Year |
K.A.Stroud |
Engineering Mathematics |
Palgrave and Macmillan |
2013 |
N/A
N/A
Moodle, Adobe Connect,
None