Foundations of Mathematics 2

Module Identifier
MA03610
Module Title
Foundations of Mathematics 2
Academic Year
2027/2028
Semester
Semester 2
Co-ordinator
Dr Daniel Peck
Reading List
View on Aspire
Pre-Requisite
MA02610
Exclusive (Any Acad Year)

Other Staff
Dr Daniel Peck

Assessment

Assessment Type

Assessment details

Proportion
Semester Assessment Problem sheets: 20%
Semester Exam Written Examination: 2 Hours 80%
Supplementary Assessment Supplementary Assessment.: Blackboard Test. 20%
Supplementary Exam Supplementary Written Examination: 2 Hours 80%

Learning Outcomes

On successful completion of this module students should be able to:

  1. Perform basic matrix algebra, compute the determinant and inverse of a matrix.
  2. Solve simultaneous linear equations
  3. Integrate simple polynomial, rational and exponential functions; apply the result to the area under a curve,
  4. Solve first-order ordinary differential equations

Brief description

This module continues the thread of MA02610 to introduce basic matrix techniques, integration and differential equations.

Aims

To introduce further fundamental techniques required in later courses.

Content

1. MATRIX ALGEBRA. Basic operations; transpose and determinant; matrix inverse; solving linear equations; transformation of vectors.
2. INTEGRATION. Integration of simple power and exponential functions. Substitution method; definite integrals; integration by parts; applications.
3. DIFFERENTIAL EQUATIONS. Concepts; first order solution methods, direct integration, separation of variables.

Module skills

Skills type

Skills details
Application of Number Required throughout the course.
Communication Written answers to exercises must be clear and well structured.
Improving own Learning and Performance Students are expected to develop their own approach to time-management regarding the completion of assignments on time and preparation between lectures.
Information Technology Use of Blackboard.
Personal Development and Career planning Completion of task (assignments) to set deadlines will aid personal development.
Problem solving The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Research skills N/A
Subject Specific Skills Broadens exposure of students to topics in mathematics
Team work Students will be encouraged to work together on questions during problem classes.

Notes

This module is at CQFW Level 3