2025/26 Undergraduate Module Catalogue

CAPE1150 Engineering Mathematics

10 Credits Class Size: 180

Module manager: Dr M Dowker
Email: m.d.dowker@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2025/26

Pre-requisite qualifications

Admission to an undergraduate programme in the School of Chemical and Process Engineering

Mutually Exclusive

XJMS1150 Engineering Mathematics

Module replaces

CAPE1040

This module is not approved as a discovery module

Module summary

This module provides the fundamental mathematical methods to solve engineering problems.

Objectives

- To be proficient in all standard methods of differential and integral calculus
- To solve differential equations using a variety of methods
- To apply and use vectors, linear algebra (matrices) and begin to use vector calculus methods.

Learning outcomes

On successful completion of the module students will have demonstrated the following learning outcomes relevant to the subject:

1. Have a knowledge and understanding of mathematics necessary for the analysis of, and to support applications of, key engineering principles and processes.

Skills Learning Outcomes
On successful completion of the module students will have demonstrated the following skills:

Problem solving, forming and using mathematical models, application of mathematics to real-life situations, particularly in the context of chemical and materials engineering.

Skills outcomes

Problem solving, logical approach to problems, building mathematical models based on real-life situations.

Mathematical thinking and modeling, calculus.

Syllabus

Differentiation (parametric and implicit); Integration (substitution, parts, partial fractions, parametric, applications);
Differential equations (ODEs - first and second order, homogeneous); Factorials, summation, limits, hyperbolic trig; Vectors (scalar product, vector product, lines, planes); Matrices (arithmetic, elimination, inverse, solving systems of equations); Complex numbers.

Teaching Methods

Delivery type Number Length hours Student hours
Lectures 11 2 22
seminars 11 1 11
Private study hours 67
Total Contact hours 33
Total hours (100hr per 10 credits) 100

Opportunities for Formative Feedback

Opportunities for formative feedback include in-class discussions, diagnostic questions (multiple choice, designed to identify and address misconceptions) during lectures and tutorial problems.

Exams
Exam type Exam duration % of formal assessment
Standard exam (closed essays, MCQs etc) 2.0 Hrs Mins 100
Total percentage (Assessment Exams) 100

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading List

There is no reading list for this module

Last updated: 30/04/2025

Errors, omissions, failed links etc should be notified to the Catalogue Team