MA4010 - Calculus and Linear Algebra (2021/22)
|Module specification||Module approved to run in 2021/22|
|Module title||Calculus and Linear Algebra|
|Module level||Certificate (04)|
|Credit rating for module||30|
|School||School of Computing and Digital Media|
|Total study hours||300|
|Running in 2021/22||
The module covers basic mathematical techniques of differential and integral calculus and of linear algebra that will be of later use throughout Mathematics and related degree courses. The module builds on and extends concepts learned in A-Level Mathematics. The contents covered and the skills developed are fundamental to the development of mathematical competence. Calculus and linear algebra form an important foundation for further studies in Mathematics, Finance, Statistics and Engineering.
Functions and graphs. Differentiation techniques. Applications of differentiation. LO1
Integration techniques. Applications of integration LO2
Complex Numbers, Matrices, vectors. LO3
Determinants, inverses. Application: simultaneous equations. Eigenvectors. LO4
Balance of independent study and scheduled teaching activity
Students’ learning is directed via face-to-face learning activities centred on lectures and seminars. There is full provision of documents related to the module in electronic format that can be accessed by students at all times. The documents include lecture notes, slides, guidance to further reading and relevant mathematical packages, and exercises and tests.
On successful completion of this module, students should be able to:
LO1. Demonstrate skill in use and application of the techniques of differentiation.
LO2. Establish skill in use and application of the techniques of integration.
LO3. Prove skill in arithmetic manipulation of complex numbers, vectors and matrices
LO4. Solve systems of linear equations using matrix methods.
Summative assessment will consist of one test, one coursework and a final examination. Test will assess LO1, coursework will assess LO3 and the final assessment will be an examination where students will be tested across the whole syllabus (LO1 to LO4).
Stewart, J. (2005); Calculus. Brook/Cole
Lipschutz, S. and Lipson, M. (2009), Schaum's Outline of Linear Algebra. McGraw-Hill
Stroud, K.A. (2010); Engineering Mathematics. Macmillan
Fraleigh, J. et al. (2005); Linear Algebra. Addison-Wesley