Academic Handbook Course Descriptors and Programme Specifications

LMATH5102 Calculus III for Science and Engineering Course Descriptor

Course Code LMATH5102 Discipline Mathematics
UK Credit 15 US Credit 4
FHEQ level 5 Date approved November 2022
Core attributes FQ
Pre-requisites LMATH4152 Calculus II for Science and Engineering or equivalent
Co-requisites N/A

Course Overview

This is an advanced calculus course for students who have developed an understanding of differential and integral calculus for functions of a single variable (Calculus I & II for Science and Engineering). The course explores the following topics: vector and space geometry, vector functions and partial derivatives.

The rationale of the course caters for the many real-world applications with which multivariable calculus is used in everyday life, in the fields of Engineering, Physics, Chemistry, Economics, Computer Graphics and more. The topics in this course will help students build a solid mathematical foundation to support their academic journey as well as their future career beyond academia.

Learning Outcomes

On successful completion of the course, students will be able to:

Knowledge and Understanding

K1b Acquire knowledge of fundamental theorems of multivariable calculus.
K2b Develop competence in solving multivariable calculus problems.

Subject Specific Skills

S1b Develop a mathematical discourse through understanding and critiquing mathematical arguments.

Transferable and Professional Skills

T2b Develop the ability to solve real-world problems through a mathematical lens, i.e., mathematical modelling.

Teaching and Learning

Teaching and learning strategies for this course will include:

A minimum of 36 contact hours, typically to include interactive group teaching, co-curriculars, individual meetings, in-class presentations and exams.

Course information and supplementary materials are available on the University’s Virtual Learning Environment (VLE).

Students will receive individualised developmental feedback on their work for this course.

Students are required to attend and participate in all the formal and timetabled sessions for this course. Students are also expected to manage their directed learning and independent study in support of the course.

Assessment

Formative

Students will be formatively assessed in class through class activities, and during office hours. Formative assessments are ones that do not count towards the final grade but will provide students with developmental feedback.

Summative

AE: Assessment Activity Weighting (%) Duration Length
1 Set Exercises* 20 4-10 hours N/A
2 Examination* 40 90 Mins N/A
3 Examination* 40 90 Mins N/A
*This course uses linear marking.

Further information on the structure of summative assessment elements can be found in the Summative Assessment Briefs.

Feedback

Students will receive feedback in a variety of ways: written (including via email correspondence); oral (within office hours or on an ad hoc basis) and indirectly through class discussion.

Feedback on examinations is provided through generic internal examiners’ reports and are made available to the student on the VLE.

Indicative Reading

Note: Comprehensive and current reading lists for courses are produced annually in the Course Syllabus or other documentation provided to students; the indicative reading list provided below is used as part of the approval/modification process only.

Books

Title: Calculus: Early Transcendentals, Metric Edition

Author: James Stewart, Daniel K. Clegg, Saleem Watson

Edition: 9th

Version History

Title: LMATH5102 Calculus III for Science and Engineering Course Descriptor

Approved by: Academic Board

Location: Academic Handbook/Programme Specifications and Handbooks/Mobility

Version number Date approved Date published Owner Proposed next review date Modification (As per AQF4) & category number
1.1 August 2024 August 2024 Dr Matthew Meangru November 2028 Category 1: Corrections/clarifications to documents which do not change approved content or learning outcomes.
1.0 July 2024 July 2024 Dr Alexandros Koliousis November 2028