Course Schedule for 2017

Week 1, 30 Jan. - 03 Feb.:
Appendix 1: Three Simple ODEs, Mathematica (Lecture 1)
Chapter 1: Introduction to PDEs, Matlab (Lecture 2), Mathematica (Lecture 3)
Week 2, 06 Feb. - 10 Feb.:
Chapter 2(a): Fourier Series, Mathematica (Lecture 4), (Lecture 5), (Lecture 6)
Week 3, 13 Feb. - 17 Feb.:
Chapter 2(a): Fourier Series (cont.), Mathematica (Lecture 7), (Lecture 8)
Chapter 3: Separation of Variables (heat), Mathematica (Lecture 9), Matlab (Lecture 9)
Week 4, 20 Feb. - 24 Feb.:
Chapter 2(b): Half range and Quarter range series
Chapter 3: Separation of Variables (heat with quarter range Fourier series), Mathematica (Lecture 11), Matlab (Lecture 11)
Chapter 3: Separation of Variables (wave), Mathematica (Lecture 12)
Week 5, 27 Feb. - 03 Mar.:
Chapter 3: Separation of Variables (Laplace: Rectangular domain), Mathematica (Lecture 13a), (Lecture 13b)
Chapter 3: Separation of Variables (Laplace: Circular domain), Mathematica (Lecture 14), (Lecture 15)
Week 6, 06 Mar. - 10 Mar.:
Chapter 4: Derivations
TEST WEEK (13 - 17 March): Test 1a Friday 17 March 08:00 (M203)
Week 7, 20 Mar.- 24 Mar.:
Tuesday 21 March: Public Holiday (Human Rights Day)
Chapter 2(c): Fourier Transforms, Matlab (Lecture 19)
Week 8, 27 Mar. - 31 Mar.:
Chapter 2(c): Fourier Transforms
Chapter 5: Transform Techniques: Heat, Matlab (Lecture 21a), (Lecture 21b) Mathematica16:23 2017/03/30 (Lecture 21)
Chapter 5: Transform Techniques: Wave, Mathematica (Lecture 22)
Chapter 2(c): Sin and Cos Transforms
Week 9, 03 Apr. - 07 Apr.:
Chapter 2(c): Sin and Cos Transforms
Chapter 5: Transform Techniques, Mathematica (Lecture 23)
Wednesday 5 April NO CLASS
Test 1b Thursday 6 April 09:00 (M203)
RESES (8 - 17 April)
Week 10, 17 Apr. - 21 Apr.:
Chapter 6: First order PDEs: Parameterization along characteristics; Envelopes and cusps
Week 11, 24 Apr. - 28 Apr.:
Thursday 27 April: Public Holiday (Freedom Day)
Chapter 8: Finite Difference Methods: Polynomial interpolations; Shift and difference operators; Truncation error
Mathematica (Lecture 27): Lagrange, Shift Operator
Matlab-stuff on truncation error (Lecture 27): Mathematica for Matlab, F(x), F'(x), F''(x), First derivative, Second derivative
Week 12, 1 May - 05 May:
Wednesday 03 May NO CLASS - Monday timetable
Chapter 8: Finite Difference Methods (Laplace): Irregular grids; Partial derivatives; Laplace example: Regular grid, Irregular grid
Week 13, 08 May - 12 May:
Chapter 8: Finite Difference Methods (Heat): Euler time-stepping; Stability;
Crank-Nicolson: Gauss-Seidel, TDMA (Thomas-Algorithm), Via Matrix
EXAM: Test 2 Tuesday 30 May 09:00 (M203)
(Semester ends Friday 23 June)