ACM30030 Multivariable Calculus Eng II

Academic Year 2023/2024

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.

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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

38
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 Open Book Exam Component Scale Must Pass Component % of Final Grade
Assignment: Homework Unspecified n/a Standard conversion grade scale 40% No

10
Continuous Assessment: Two in class tests Throughout the Trimester n/a Standard conversion grade scale 40% No

30
Examination: Final written exam 2 hours 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

60

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
Mr Kevin Allen Tutor
Mr Brian Skelly 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
Lecture Offering 1 Week(s) - Autumn: Weeks 2-12 Thurs 09:00 - 09:50
Lecture Offering 1 Week(s) - Autumn: Even Weeks Tues 09:00 - 09:50
Lecture Offering 1 Week(s) - Autumn: Odd Weeks Wed 14:00 - 14:50
Tutorial Offering 1 Week(s) - Autumn: Weeks 2-12 Mon 13:00 - 13:50
Tutorial Offering 2 Week(s) - Autumn: Weeks 2-12 Thurs 17:00 - 17:50
Autumn