Calculus of Several Variables (G5141)
Calculus of Several Variables
Module G5141
Module details for 2024/25.
15 credits
FHEQ Level 5
Module Outline
• Functions of several variables. Limits, continuity.
• Differentiation of functions of several variables. Directional derivatives, gradient, total and partial differentials. Taylor formula.
• Extrema, constrained minima and maxima. Lagrange multipliers
• Implicit Function Theorem.
• Double and Triple integrals. Polar, cylindrical and spherical coordinates.
• Line and surface integral. Gauss and Stokes Theorem.
Module learning outcomes
Calculate basic higher-dimensional integrals and derivatives of functions of several real variables;
Understand the concepts and definitions of partial derivative and gradient, provide and explain examples and counterexamples;
Appreciate the concepts and definitions of line and surface integral, double and triple integral.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T1 Week 11 | 100.00% |
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T1 Week 3 | 25.00% |
| Problem Set | T1 Week 5 | 25.00% |
| Problem Set | T1 Week 8 | 25.00% |
| Problem Set | T1 Week 10 | 25.00% |
| Unseen Examination | Semester 1 Assessment | 80.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Autumn Semester | Lecture | 1 hour | 11111111111 |
| Autumn Semester | Lecture | 2 hours | 11111111111 |
| Autumn Semester | Workshop | 1 hour | 01111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr James Van Yperen
Assess convenor
/profiles/311115
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