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Curricular information is subject to change
On successful completion of this module the student should be able to:1. Calculate first and second order partial derivatives. 2. Find equations of tangent lines to curves and tangent planes to surfaces.3. Determine rates of change using the chain rule. 4. Find approximate values of functions and percentage changes. 5. Calculate directional derivatives.6. Find and classify critical points of functions of several variables.7. Solve constrained extremum problems using the method of Lagrange multipliers. 8. Solve linear constant coefficient differential equations by various methods.
Indicative Module Content:1. Functions of several variables; 2. Partial derivatives, chain rule, linear approximation; 3. Gradient and directional derivatives; 4. Second order partial derivatives and the Hessian matrix; 5. The Jacobian matrix, chain rule and inverse function theorem; 6. Maxima and minima, classification of critical points; 7. Constrained optimization and Lagrange multipliers; 8. Higher order linear differential equations with constant coefficients; 9. (Time permitting) The Laplace transform.
Student Effort Type | Hours |
---|---|
Lectures | 36 |
Tutorial | 12 |
Specified Learning Activities | 20 |
Autonomous Student Learning | 32 |
Total | 100 |
The student must have taken modules in Calculus of a single variable whose content includes the basics of differential and integral calculus. The student should also have taken an Algebra module whose learning outcomes include a working knowledge of vector geometry in 2 and 3 dimensions as well as an appreciation of matrix techniques.
Resit In | Terminal Exam |
---|---|
Spring | Yes - 2 Hour |
• Group/class feedback, post-assessment
Not yet recorded.
Name | Role |
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Assoc Professor Thomas Unger | Lecturer / Co-Lecturer |
Arani Paul | Tutor |
Lecture | Offering 1 | Week(s) - Autumn: All Weeks | Fri 13:00 - 13:50 |
Lecture | Offering 1 | Week(s) - Autumn: All Weeks | Thurs 11:00 - 11:50 |
Lecture | Offering 1 | Week(s) - Autumn: All Weeks | Tues 12:00 - 12:50 |
Tutorial | Offering 1 | Week(s) - Autumn: Weeks 2-12 | Thurs 13:00 - 13:50 |
Tutorial | Offering 2 | Week(s) - Autumn: Weeks 2-12 | Tues 13:00 - 13:50 |