Vector Calculus and Electromagnetism
| Code | School | Level | Credits | Semesters |
| MATH2106 | Mathematical Sciences | 2 | 20 | Autumn UK |
- Code
- MATH2106
- School
- Mathematical Sciences
- Level
- 2
- Credits
- 20
- Semesters
- Autumn UK
Summary
This course provides a grounding in the techniques of vector calculus and illustrates their use by developing the theory of electromagnetism and Maxwell’s equations. The course introduces the vector differentiation operations of gradient, divergence and curl, develops integration methods for scalar and vector quantities over paths, surfaces and volumes, and relates these operations to each other via the integral theorems of Green, Stokes and Gauss. These concepts are illustrated through examples drawn from the theory of electromagnetism. This course covers material fundamental to applied mathematics modules at levels 2, 3 and 4.
Target Students
Single Honours and Joint Honours students from the School of Mathematical Sciences, Mathematical Physics students, Natural Sciences students, Liberal Arts students.
Classes
- Eleven 1-hour lectures each week for 2 weeks
- Eleven 2-hour lectures each week for 2 weeks
Teaching will be through a variety of methods, with the delivery tailored to the material on a week-by-week basis.
Assessment
- 40% Coursework 1: Summative assessment based on tasks distributed through the semester.
- 60% Exam 1 (2-hour): Written examination – Autumn
Assessed by end of autumn semester
Educational Aims
This course aims to give students a sound grounding in the application of both differential and integral calculus to vectors, and an introduction to the theory of electromagnetism as expressed through Maxwell’s equations. The course is an important foundation for a range of further courses in applied mathematics.Learning Outcomes
A student who completes this module successfully should be able to
L1 – Select and apply suitable mathematical techniques to solve vector differential and integral problems.
L2 – Describe the basic phenomena of electromagnetism, including the statement and use of Maxwell’s equations.
L3 – Demonstrate knowledge and understanding of the historical development of vector calculus and its application to electromagnetism.
L4 – Reason logically and work analytically to develop and justify a mathematical framework for solving routine and novel problems in electromagnetism with a high level of rigour.
L5 – Summarise complex ideas clearly and concisely, drawing connections between concepts in this module and other areas of mathematics.
L6 – Present conclusions verbally or in writing.