Further Foundation Mathematics
| Code | School | Level | Credits | Semesters |
| MTHSF005 | Mathematical Sciences | 0 | 20 | Spring UK |
- Code
- MTHSF005
- School
- Mathematical Sciences
- Level
- 0
- Credits
- 20
- Semesters
- Spring UK
Summary
The module will provide a more advanced course in mathematics than Foundation Mathematics 1
or 2 covering similar content to Further Mathematics A-Level, including more in-depth study of
calculus, matrices, complex numbers, vectors, proof and differential equations.
Target Students
FEPS students who aim to study Mathematics afterwards.
Classes
- One 1-hour seminar each week for 12 weeks
- Two 1-hour-30-minute lectures each week for 12 weeks
Assessment
- 10% Assignment 1: 1 page take-home assignment (approximately 6 questions)
- 10% Assignment 2: 1 page take-home assignment (approximately 6 questions)
- 10% Assignment 3: 1 page take-home assignment (approximately 6 questions)
- 10% Assignment 4: 1 page take-home assignment (approximately 6 questions)
- 60% Exam 1 (3-hour): Written exam.
Assessed by end of spring semester
Educational Aims
To provide essential mathematical background for those wishing to progress to a degree in mathematics. A passing grade of 50% in this module will be considered necessary to progress. The module will only be offered to students wishing to study degree level mathematics.Learning Outcomes
L1 - Use matrices to solve systems of 3 simultaneous equations and be able to find the determinant and inverse of matrices.
L2 - Understand de Moivre’s theorem and the exponential form of complex numbers.
L3 - Use the above to solve problems in trigonometry and roots
L4 - Be able to solve 1st order differential equations using the integrating factor and substitution.
L5 - Be able to solve homogeneous and non-homogeneous 2nd order differential equations
L6 - Be able to solve problems involving 3 dimensional vectors, including use of the scalar and vector products.
L7 - Be able to solve simple problems using multi-variable calculus
L8 - Be able to use hyperbolic functions.