module specification

MA4010 - Calculus and Linear Algebra (2018/19)

Module specification Module approved to run in 2018/19
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
 
90 hours Scheduled learning & teaching activities
210 hours Guided independent study
Assessment components
Type Weighting Qualifying mark Description
In-Course Test 25%   Unseen Test (1 hour)
Coursework 25%   5 problem sheets (individual)
Unseen Examination 50%   Unseen Exam (2 hours)
Running in 2018/19
Period Campus Day Time Module Leader
Year North Thursday Morning

Module summary

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.

Syllabus

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.

Learning outcomes

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.

Assessment strategy

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).

Bibliography

Core Textbooks:
Stewart, J. (2005); Calculus. Brook/Cole
Lipschutz, S. and Lipson, M. (2009), Schaum's Outline of Linear Algebra. McGraw-Hill

Recommended Reading:
Stroud, K.A. (2010); Engineering Mathematics. Macmillan
Fraleigh, J. et al. (2005); Linear Algebra. Addison-Wesley