Module catalogue

MA4010 - Calculus and Linear Algebra (2024/25)

Module specification

Module approved to run in 2024/25

Module title

Calculus and Linear Algebra

Module level

Certificate (04)

Credit rating for module

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	Description
In-Course Test	25%	Unseen Test (1 hour)
Coursework	25%	5 problem sheets (individual)
Unseen Examination	50%	Unseen Exam (2 hours)

Running in 2024/25

(Please note that module timeslots are subject to change)

No instances running in the year

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.

Bibliography

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