## 2BA1: the second half-year## 2007--2008## Back to my homepage## Course ContentThe purpose of this course is to give an overview of some important ideas and techniques in mathematics. We will discuss ordinary differential equations, Fourier analysis, quaternions.- Ordinary differential equations. Examples.
- Homogeneous equations with constant coefficients. Operator notation and its applications.
- Inhomogeneous equations with constant coefficients.
- Numerical methods of solving ordinary differential equations.
- Integral inner product. Orthogonality of trigonometric functions.
- Fourier series. Applications of Fourier series. Euler's formula for the sum of inverse squares.
- Discrete Fourier transform. Application to multiplication of large integers.
- Quaternions, vectors in 3-space, and rotations.
- Basics of number theory. Number theory and cryptography.
## MaterialsThere will be two home assignments during the second half of the year. You can find some lecture notes related to this course on the course web page maintained by David Wilkins.Homework due March 5
[PS]
[PDF] Tutorial, February 20
[PS]
[PDF] Lecture notes for the second half-year (draft)
[PS]
[PDF] Check timetables
to find out the examination date. You might be interested in looking at past exam papers. They are accessible
here. |