|Assessment length / details
|Weekly course work
|3 Hours End of semester examination
|3 Hours written examination
On successful completion of this module students should be able to:
1. Evaluate basic integrals and derivatives.
2. Construct the gradient of a curve y(x).
3. Calculate arithmetic and geometric series.
4. Apply the binomial theorem.
5. Recognise and manipulate with 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.
This module is at CQFW Level 3