2025/26 Undergraduate Module Catalogue

CAPE1050 Foundation Mathematics

10 Credits Class Size: 100

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

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2025/26

Pre-requisite qualifications

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

Mutually Exclusive

CAPE1080 Foundation Chemistry
CAPE1090 Foundation Physics
CAPE1700 Topics in Nanotechnology

This module is not approved as a discovery module

Module summary

This module provides the foundational mathematics consistent with A-level standard to ensure the basic skills are met to pursue an engineering discipline at degree level.

Objectives

To apply mathematical methods such as algebra, linear and quadratic equations, trigonometry, exponential and logarithmic functions, differential calculus and definite and indefinite integration to solve basic mathematical problems.

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:

a. Technical skills
b. Problem solving & analytical skills

Skills outcomes

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

Mathematical thinking and modeling, calculus.

Syllabus

Basic Algebra, transposing formulae, indices and surds, quadratics and cubics, straight lines, circles, simultaneous equations, trigonometric identities, exponentials and logarithms, differentiation (1st, 2nd derivatives, stationary points, chain, product, quotient rule including exponentials, logs, trig), integration (indefinite, definite).

Teaching Methods

Delivery type Number Length hours Student hours
Lectures 11 1.5 16.5
Tutorial 11 1 11
Private study hours 72.5
Total Contact hours 27.5
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

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