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MT2503 Multivariate Calculus

SCOTCAT credits:15
Academic year(s):2017/8
SCQF Level 8
Planned timetable:12.00 noon Mon (even weeks), Tue and Thu

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.

Place in programme(s) and relationship to other modules


Compulsory for all MMath programmes. Compulsory for BSc Mathematics & Physics and MPhys Mathematics & Theoretical Physics degree programmes. Compulsory for all single and joint Honours BSc/MA Statistics programmes. Compulsory for all programmes in the School of Physics & Astronomy.

Optional for all other undergraduate programmes in the School of Mathematics & Statistics.

UG Pre-requisite(s):MT1002, or A at Advanced Higher Mathematics, or A at A-level Further Mathematics, or A at both A-level Mathematics and A-level Physics, or Co-requisite MT1010
UG Anti-requisite(s):MT2001
UG Modules required for:MT2506, MT2507, MT3503, MT3504, MT3601, MT4507, MT4513, MT4551, MT4607

Learning and teaching methods and delivery

Weekly contact:23 hours of lectures, 1-hour tutorial (x 4 weeks), 1-hour examples class (x 4 weeks)
Total module hours:
  • Scheduled learning: 31
  • Guided independent study: 119

Assessment pattern

UG As defined by QAA:
  • Written examinations: 85%
  • Practical examinations: 0%
  • Coursework: 15%
UG As used by St Andrews:2-hour Written Examination = 70%, Coursework = 30% (including 1 class test)
UG Re-assessment:2-hour Written Examination = 100%


Module coordinator:Prof A W Hood
Module teaching staff:Prof A W Hood