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MT2503   Multivariate Calculus

Academic year(s): 2023-2024

Key information

SCOTCAT credits : 15

ECTS credits : 7

Level : SCQF level 8

Semester: Both

Planned timetable: 12.00 noon Mon (even weeks), Tue and Thu [Semester 1] 9.00 am Mon (odd weeks), Wed and Fri [Semester 2]

This module extends the basic calculus in a single variable to the setting of real functions of several variables. It introduces techniques and concepts that are used throughout the mathematical sciences and physics: partial derivatives, double and triple integrals, surface sketching, cylindrical and spherical coordinates. It is recommended that students in the Faculties of Arts and Divinity take an even number of the 15-credit 2000-level MT modules.

Relationship to other modules

Pre-requisite(s): Before taking this module you must pass MT1002. If MT1002 has not been passed then A at Advanced Higher Mathematics, or A at A-level Further Mathematics, or A at both A-level Mathematics and A-level Physics

Learning and teaching methods and delivery

Weekly contact: 2.5-hours lectures (x 10 weeks), 1 tutorial (x 5 weeks), 1 examples class (x 5 weeks)

Scheduled learning hours: 35

Guided independent study hours: 115

Assessment pattern

As used by St Andrews: 2-hour Written Examination = 70%, Coursework (including class test 15%) = 30%

As defined by QAA
Written examinations : 85%
Practical examinations : 0%
Coursework: 15%

Re-assessment: 2-hour Written Examination = 100%

Personnel

Module coordinator: Dr A J B Russell
Module teaching staff: S1: Dr Tom Elsden (coordinator), Dr Stefania Lisai S2: Dr Alexander Russell (coordinator)
Module coordinator email ar51@st-andrews.ac.uk

Intended learning outcomes

  • Understand key mathematical techniques in multivariate calculus (including Taylor series, gradients, partial derivatives, implicit differentiation, double and triple integrals)
  • Identify and apply appropriate mathematical techniques to solve problems in optimisation
  • Sketch areas and volumes in 3D space
  • Design computer code to investigate and analyse problems in multivariate calculus

Additional information from school

For guidance on module choice at 2000-level in Mathematics and Statistics please consult the School Handbook, at https://www.st-andrews.ac.uk/maths/current/ug/programmes/