ACM30030 Multivariable Calculus Eng II

Academic Year 2021/2022

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.

Show/hide contentOpenClose All

Curricular information is subject to change

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
Lectures

30
Tutorial

12
Specified Learning Activities

20
Autonomous Student Learning

36
Total

98
Approaches to Teaching and Learning:
Students will be first presented to pre-recorded video lectures and, in the alternative, can participate in classroom discussion of examples and exercises. In the classroom, the Lecturer will re-explain the material already presented in pre-recorded format.
The tutorials will consist in solving problem sheets and homework assignments. They will be held in the classroom and simultaneously recorded/streamed via Zoom. 
Requirements, Exclusions and Recommendations
Learning Recommendations:

MATH20290 or MATH20060


Module Requisites and Incompatibles
Not applicable to this module.
 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Assignment: Homework Unspecified n/a Standard conversion grade scale 40% No

10
Examination: Final written exam 2 hours 2 hour End of Trimester Exam Yes Standard conversion grade scale 40% No

50
Continuous Assessment: Two online timed tests (45 mins) Throughout the Trimester n/a Standard conversion grade scale 40% No

40

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 Nina Snigireva Lecturer / Co-Lecturer
Mr Kevin Allen Tutor