2 Course Overview (7.4 MB)
Week One Introduction (3.6 MB)
1 Binary Numbers Lecture 1 (53.93 MB)
3 Double Precision Lecture 2 (69.79 MB)
1 MATLAB as a Calculator Lecture 3 (14.45 MB)
10 Matrices Lecture 7 (15.46 MB)
13 Logicals Lecture 8 (9.77 MB)
16 Conditionals Lecture 9 (9.51 MB)
18 Loops Lecture 10 (12.41 MB)
3 Scripts and Functions Lecture 4 (17.22 MB)
5 Vectors Lecture 5 (8.85 MB)
7 Line Plots Lecture 6 (13.95 MB)
1 1 This equation will change how you see the world (the logistic map) (73.09 MB)
2 Logistic Map (Part A) Lecture 11 (81.65 MB)
4 Logistic Map (Part B) Lecture 12 (40 MB)
Week Two Introduction (2.77 MB)
1 Bisection Method Lecture 13 (45.71 MB)
3 Newton's Method Lecture 14 (54.67 MB)
5 Secant Method Lecture 15 (45.77 MB)
1 Order of Convergence Lecture 16 (24.49 MB)
3 Convergence of Newton's Method Lecture 17 (54.66 MB)
1 Fractals from Newton's Method Lecture 18 (45.42 MB)
3 Coding the Newton Fractal Lecture 19 (46.97 MB)
5 Exploring the Newton Fractal History, Creation, and Structure Deep Dive Maths (110.32 MB)
6 Root-Finding in MATLAB Lecture 20 (26.21 MB)
1 Feigenbaum Delta (Part A) Lecture 21 (90.38 MB)
3 Feigenbaum Delta (Part B) Lecture 22 (93.5 MB)
4 Feigenbaum Delta (Part C) Lecture 23 (41.66 MB)
Week Three Introduction (3.21 MB)
1 Gaussian Elimination without Pivoting Lecture 24 (52.35 MB)
3 Gaussian Elimination with Partial Pivoting Lecture 25 (28.27 MB)
5 LU Decomposition with Partial Pivoting Lecture 26 (48.16 MB)
1 Operation Counts Lecture 27 (46.86 MB)
3 Operation Counts for Gaussian Elimination Lecture 28 (40.55 MB)
8 Operation Counts for Forward and Backward Substitution Lecture 29 (31.04 MB)
1 Eigenvalue Power Method Lecture 30 (58.8 MB)
3 Eigenvalue Power Method (Example) Lecture 31 (43.88 MB)
1 Matrix Algebra in MATLAB Lecture 32 (46.24 MB)
1 Systems of Nonlinear Equations Lecture 33 (55.28 MB)
3 Systems of Nonlinear Equations (Example) Lecture 34 (49.47 MB)
1 Fractals from the Lorenz Equations Lecture 35 (47.27 MB)
Week Four Introduction (2.87 MB)
1 Midpoint Rule Lecture 36 (49.03 MB)
4 Trapezoidal Rule Lecture 37 (46.44 MB)
6 Simpson's Rule Lecture 38 (29.06 MB)
1 Composite Quadrature Rules Lecture 39 (66.39 MB)
3 Gaussian Quadrature Lecture 40 (48.31 MB)
5 Adaptive Quadrature Lecture 41 (56.3 MB)
1 Quadrature in MATLAB Lecture 42 (10.34 MB)
1 Interpolation Lecture 43 (45.25 MB)
3 Cubic Spline Interpolation (Part A) Lecture 44 (72.39 MB)
5 Cubic Spline Interpolation (Part B) Lecture 45 (44.38 MB)
1 Interpolation in MATLAB Lecture 46 (15.15 MB)
1 Bessel Functions and their Zeros Lecture 47 (32.02 MB)
Week Five Introduction (2.77 MB)
1 Euler Method Lecture 48 (30.16 MB)
3 Modified Euler Method Lecture 49 (43.17 MB)
5 Runge-Kutta Methods Lecture 50 (59.09 MB)
6 Second-Order Runge-Kutta Methods Lecture 51 (34.67 MB)
9 Higher-Order Runge-Kutta Methods Lecture 52 (44.65 MB)
1 Higher-Order ODEs and Systems Lecture 53 (26.38 MB)
1 Adaptive Runge-Kutta Method Lecture 54 (50.6 MB)
3 Integrating ODEs in MATLAB (Part A) Lecture 55 (31.84 MB)
4 Integrating ODEs in MATLAB (Part B) Lecture 56 (21.67 MB)
1 Shooting Method for Boundary Value Problems Lecture 57 (43.91 MB)
1 The Two-Body Problem (Part A) Lecture 58 (37.77 MB)
3 The Two-Body Problem (Part B) Lecture 59 (42.76 MB)
Week Six Introduction (4.44 MB)
1 Boundary and Initial Value Problems Lecture 60 (18.09 MB)
3 Central Difference Approximation Lecture 61 (32.95 MB)
1 Discrete Laplace Equation Lecture 62 (36.28 MB)
3 Natural Ordering Lecture 63 (33.27 MB)
5 Matrix Formulation Lecture 64 (50.66 MB)
8 MATLAB Solution of the Laplace Equation (Direct Method) Lecture 65 (38.74 MB)
1 Jacobi, Gauss-Seidel and SOR Methods Lecture 66 (56.9 MB)
3 Red-Black Ordering Lecture 67 (13.49 MB)
4 MATLAB Solution of the Laplace Equation (Iterative Method) Lecture 68 (28.22 MB)
1 Explicit Methods for Solving the Diffusion Equation Lecture 69 (56.02 MB)
10 MATLAB Solution of the Diffusion Equation Lecture 73 (29.81 MB)
4 Von Neumann Stability Analysis of the FTCS Scheme Lecture 70 (67.69 MB)
6 Implicit Methods for Solving the Diffusion Equation Lecture 71 (37.75 MB)
8 Crank-Nicolson Method for the Diffusion Equation Lecture 72 (65.03 MB)
1 Two-Dimensional Diffusion Equation Lecture 74 (54.71 MB)
1 Concluding Remarks (8.06 MB)