03
Topics we will cover; examples of symbolic and
numeric computation in Maple.
[Assignment 1 handed out, due January 17]
10
Exact, fixed-point, and floating-point
representations of numbers; rounding errors.
17
Approximating functions by Taylor series and other methods;
evaluating polynomials.
[Assignment 2 handed out, due February 7]
24
Explicit, implicit, and parametric representations
of curves and surfaces.
31
Rendering lines and curves for computer display.
07
Solving differential equations; dynamical simulations.
14
READING WEEK (no classes).
21
Lagrange and piecewise polynomial interpolation; natural
cubic splines; basis functions.
[Assignment 3 handed out, due March 13]
28
Finding zeros of functions symbolically and numerically.
[Midterm test in tutorial]
06
Integrating functions symbolically and numerically.
13
Multidimensional integration with product rules and
by Monte Carlo.
[Assignment 4 handed out, due April 3]
20
Approximation using Fourier series; generating random
fractal functions.
27
Filtering signals and images.
03
Fourier transforms.