MST20070 Multivariable Calculus with Applications

Academic Year 2022/2023

This course introduces the calculus of functions of two or more real variables. Beginning with partial derivatives, the topics of linear approximation and the differential are dealt with. The course then examines critical points, maxima and minima, and constrained optimisation. Line integrals, double integrals, vector fields and the relationships between these concepts are explored.

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Curricular information is subject to change

Learning Outcomes:

The student will be able to - sketch a level set or multidimensional graph - compute limits of multivariable functions - calculate partial and directional derivatives - find and use the linear approximation of a function - find and classify critical points - optimise a function over a region or over a curve or surface - evaluate line and double integrals, and exploit the relationship between them.

Student Effort Hours: 
Student Effort Type Hours
Lectures

24
Tutorial

10
Autonomous Student Learning

70
Total

104
Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning. 
Requirements, Exclusions and Recommendations
Learning Requirements:

Students must have completed MST10010 or MATH10350 in order to be eligible to register to the module.

Learning Recommendations:

Students are strongly recommended to take a Linear Algebra course (MST10030 or equivalent) before taking this module.


Module Requisites and Incompatibles
Pre-requisite:
MATH10350 - Calculus (MPS), MST10010 - Calculus I

Incompatibles:
MATH20060 - Calculus of Several Variables, MATH20140 - Multivariable Calculus (Sci)., MATH20240 - Mathematics for Engineers IV, MATH20290 - Multivariable Calculus for Eng

Additional Information:
Pre-requisites: MST10010 OR MATH10350.


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: Final End of Trimester Exam 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

70
Continuous Assessment: various Throughout the Trimester n/a Standard conversion grade scale 40% No

30

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
Ms Niamh Fennelly Tutor
Timothy O'Brien-Pifer Tutor
Anton Sohn Tutor