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ACM30030

Academic Year 2024/2025

Multivariable Calculus Eng II (ACM30030)

Subject:
Applied & Computational Maths
College:
Science
School:
Mathematics & Statistics
Level:
3 (Degree)
Credits:
5
Module Coordinator:
Assoc Professor Edward Cox
Trimester:
Autumn
Mode of Delivery:
On Campus
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

This module introduces students to advanced techniques in multivariable
calculus with an emphasis on applications in Engineering and the Physical
Sciences. Topics covered will include: Vector fields and potentials, Grad, Div
and Curl; Transformations between rectilinear, cylindrical and spherical
co-ordinates; Line integral, work integrals; Double integrals and Green's
Theorem; Stokes' Theorem and the Divergence Theorem; Laplace's/Poisson's
equation; The heat equation, the wave equation; Fourier Transform,
Fourier Series and separation of variables techniques.

About this Module

Learning Outcomes:

On successful completion of this module the student should be able to:
1: Evaluate the Gradient, Divergence and Curl of a scalar resp. vector field.
2: Transform problems from one coordinate system to another.
3: Calculate multiple integrals by elementary techniques.
4: Calculate line and surface integrals with the help of Green's and Stokes'
Theorem.
5: Solve and analyse Laplace's, Poisson's the heat and wave/string equations.
6: Determine the Fourier series and Transform of important functions.
7: Apply all of the above techniques to problems in engineering
and the physical sciences.

Student Effort Hours:
Student Effort Type Hours
Specified Learning Activities

20
Autonomous Student Learning

38
Lectures

30
Tutorial

12
Total

100

Approaches to Teaching and Learning:
The module is delivered through lectures, problem solving classes and homework assignments.

Requirements, Exclusions and Recommendations
Learning Recommendations:

MATH20290 or MATH20060


Module Requisites and Incompatibles
Not applicable to this module.
 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): Final Examination End of trimester
Duration:
2 hr(s)
 Standard conversion grade scale 40% No
70
 No
Exam (In-person): Midterm tests Week 4, Week 8 Standard conversion grade scale 40% No
30
 No

Carry forward of passed components
No
 

Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Dr Conor Finnegan Lecturer / Co-Lecturer
Dr Nina Snigireva Lecturer / Co-Lecturer
Ms Charlotte Stammers Tutor
Giulio Taiocchi Tutor

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Autumn Lecture Offering 1 Week(s) - 1 Thurs 09:00 - 09:50
Autumn Lecture Offering 1 Week(s) - Autumn: Weeks 2-12 Thurs 09:00 - 09:50
Autumn Lecture Offering 1 Week(s) - Autumn: Even Weeks Tues 09:00 - 09:50
Autumn Lecture Offering 1 Week(s) - Autumn: Odd Weeks Wed 14:00 - 14:50
Autumn Tutorial Offering 1 Week(s) - Autumn: Weeks 2-12 Mon 13:00 - 13:50
Autumn Tutorial Offering 2 Week(s) - Autumn: Weeks 2-12 Thurs 17:00 - 17:50
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