|Delivery Type||Delivery length / details|
|Lecture||40 hours lectures|
|Seminars / Tutorials||5 hours tutorials|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||3 Hours end of semester written examination||80%|
|Semester Assessment||Weekly course work||20%|
|Supplementary Exam||3 Hours written examination||100%|
After taking this module students should be able to:
- Use and apply integration and differentiation with some notion of the relevance of these topics to physics.
- Solve problems on arithmetic and geometric series and the Binomial theorem.
- Carry out simple processes using matrices and determinants.
This second module on theoretical methods introduces the student to more of the basic mathematical tools commonly used in the physical sciences, and develops some of the topics used in the first module. Topics covered include differentiation techniques and applications, integration and some of its applications to physics and rate of change problems, sequences, series and matrices. Particular emphasis is placed on the use of matematical techniques to solve physical problems.
Applications of differentiation: Small increments and rate of change problems.
Integration techniques: Indefinite integration, integration as summation, definite integration, standard integrals, integration by substitution and by parts. Use of partial fractions.
Applications of Integration: Area under curves, volumes of revolution.
Sequences and series: Arithmetic and geometric series. Binomial theorem.
Introduction to matrices and determinants.
Reading ListGeneral Text
Sadler, A. J. (1987.) Understanding pure mathematics /A.J. Sadler, D.W.S. Thorning. Oxford University Press Primo search Essential Reading
Bostock, L. (1990(1992 print) Core maths for A-level /L. Bostock, S. Chandler. Thornes Primo search Supplementary Text
Stroud, K. A. (2003.) Advanced engineering mathematics. 4th ed Palgrave Macmillan Primo search
This module is at CQFW Level 3