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Curricular information is subject to change
On completion of this module students should be able to
1. Write down parametric equations for lines and planes, and perform standard calculations based
on these equations (e.g. points/lines of intersection, condition for lines to be skew);
2. Compute the Frenet-Serret vectors for an arbitrary differentiable curve;
3. Compute the series expansion of important functions using Taylor's theorem;
4. Differentiate scalar and vector fields expressed in a Cartesian framework;
5. Perform operations involving div, grad, and curl;
6. Perform line, surface, and volume integrals. The geometric objects involved in the integrals
may be lines, arbitrary curves, simple surfaces, and simple volumes, e.g. cubes, spheres,
cylinders, and pyramids;
7. State precisely and prove Gauss's and Stokes's theorems;
8. Derive corollaries of these theorems, including Green's theorems and the necessary and sufficient condition for a vector fueld to be derivable from a potential;
9. Compute the scale factors for arbitrary orthogonal curvilinear coordinate systems;
10. Apply the formulas for div, grad, and curl in arbitrary orthogonal curvilinear coordinate systems;
Student Effort Type | Hours |
---|---|
Lectures | 36 |
Tutorial | 24 |
Autonomous Student Learning | 40 |
Total | 100 |
A good knowledge of calculus
Learning Recommendations:Students should have followed:
1. MATH10300 - Calculus in the Mathematical Sciences
or
2. MATH10330 - Calculus in the Physical Sciences
Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|
Continuous Assessment: Homework assignments and midterm test | Varies over the Trimester | n/a | Standard conversion grade scale 40% | No | 30 |
Examination: Final exam | 2 hour End of Trimester Exam | No | Standard conversion grade scale 40% | No | 70 |
Resit In | Terminal Exam |
---|---|
Autumn | Yes - 2 Hour |
• Group/class feedback, post-assessment
Not yet recorded.
Name | Role |
---|---|
Mr Chris Devitt | Tutor |
Lecture | Offering 1 | Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 | Fri 13:00 - 13:50 |
Lecture | Offering 1 | Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 | Thurs 14:00 - 14:50 |
Lecture | Offering 1 | Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 | Tues 14:00 - 14:50 |
Tutorial | Offering 1 | Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 | Tues 11:00 - 11:50 |
Tutorial | Offering 2 | Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 | Tues 10:00 - 10:50 |