Week |
Date |
Topic/Materials |
Homework/Test etc. |
1 |
Part I: Matlab and Solving Equations |
Mon Aug 25 |
Introduction,
lecture 1: Vectors, Functions, and Plots in Matlab
|
|
Wed Aug 27 |
lecture 2: Matlab Programs |
Good Problem
using the
Layout skill:
- Write your mathematical autobiography.
- Include
- your background,
- your current interests and future goals,
- why you are taking this class,
- your preferred learning style(s) as determined by the
VARK questionaire, and
- whatever else is relevant or interesting.
|
Fri Aug 29 |
lecture 3: Newton's Method and Loops |
lecture 1 homework |
2 |
Mon Sep 1 | Labor day holiday, no class
|
Wed Sep 3 |
lecture 4: Controlling Error and Conditional Statements |
lecture 2 homework |
Fri Sep 5 |
lecture 5: The Bisection Method and Locating Roots;
mybisect.m |
lecture 3 homework; do problem 3.3 as a Good Problem (still using the Layout skill); (drop deadline) |
3 |
Mon Sep 8 |
lecture 6: Secant Methods; mysecant.m |
lecture 4 homework |
Wed Sep 10 |
lecture 7: Symbolic Computations; part I review |
lecture 5 homework; do problem 5.2 as a Good Problem
using
Flow (and Layout) |
Part II: Linear Algebra |
Fri Sep 12 |
lecture 8: Matrices and Matrix Operations in Matlab |
lecture 6 homework
|
4 |
Mon Sep 15 |
lecture 9: Introduction to Linear Systems
|
lecture 7 homework
|
Wed Sep 17 |
lecture 10: Some Facts About Linear Systems |
lecture 8 homework |
Fri Sep 19 |
part I study guide |
Test on Part I (lectures 1-7) |
5 |
Mon Sep 22 |
lecture 11: Accuracy, Condition Numbers and Pivoting
|
lecture 9 homework |
Wed Sep 24 |
lecture 12: LU Decomposition |
lecture 10 homework |
Fri Sep 26 |
lecture 13: Nonlinear Systems - Newton's Method |
lecture 11 homework; do problem 11.1 as a Good Problem
using
Symbols (and Flow, Layout) |
6 |
Mon Sep 29 |
lecture 14: Eigenvalues and Eigenvectors |
lecture 12 homework |
Wed Oct 1 |
lecture 15: An Application of Eigenvectors: Vibrational Modes |
lecture 13 homework; do problem 13.1 as a Good Problem |
Fri Oct 3 | Fall Semester Reading Day, no class
|
7 |
Mon Oct 6 |
lecture 16: Numerical Methods for Eigenvalues;
part II review
(in lecture 18) |
lecture 14 homework |
Part III: Functions and Data |
Wed Oct 8 |
lecture 19: Polynomial and Spline Interpolation
|
lecture 15 homework; do problem 15.1 as a Good Problem
using
Logic
|
Fri Oct 10 |
lecture 20: Least Squares Fitting: Noisy Data |
lecture 16 homework |
8 |
Mon Oct 13 |
lecture 21: Integration: Left, Right and Trapezoid Rules |
lecture 19 homework |
Wed Oct 15 |
part II study guide |
Test on Part II (lectures 8-16) |
Fri Oct 17 |
lecture 22: Integration: Midpoint and Simpson's Rules; mysimpweights.m |
lecture 20 homework |
9 |
Mon Oct 20 |
lecture 23: Plotting Functions of Two Variables;
mywedge.m;
mywasher.m |
lecture 21 homework |
Wed Oct 22 |
lecture 24: Double Integrals for Rectangles;
mylowerleft.m;
mydblsimpweights.m |
lecture 22 homework; do problem 22.1 as a Good Problem |
Fri Oct 24 |
lecture 25: Double Integrals for Non-rectangles;
mywedge.m |
lecture 23 homework
|
10 |
Mon Oct 27 |
lecture 27: Numerical Differentiation |
lecture 24 homework |
Wed Oct 29 |
lecture 28: The Main Sources of Error; part III review |
lecture 25 homework |
Part IV: Differential Equations |
Fri Oct 31 |
lecture 29: Reduction of Higher Order Equations to Systems
|
lecture 27 homework; do problem 27.1 as a Good Problem
using
Intros (drop deadline with WP/WF) |
11 |
Mon Nov 3 |
lecture 30: Euler Methods;
myeuler.m;
mymodeuler.m
|
lecture 28 homework |
Wed Nov 5 |
lecture 31: Higher Order Methods |
lecture 29 homework |
Fri Nov 7 |
part III study guide |
Test on Part III (lectures 19-25, 27, and 28) |
12 |
Mon Nov 10 |
lecture 33: ODE Boundary Value Problems and Finite Differences; myexactbeam.m |
lecture 30 homework |
Wed Nov 12 |
lecture 34: Finite Difference Method -- Nonlinear ODE |
lecture 31 homework |
Fri Nov 14 |
lecture 35: Parabolic PDEs - Explicit Method;
myheat.m |
lecture 33 homework; do problem 33.1 as a Good Problem
using
Graphs
|
13 |
Mon Nov 17 |
lecture 36: Solution Instability for the Explicit Method; myexpmatrix.m |
lecture 34 homework |
Wed Nov 19 |
lecture 37: Implicit Methods |
lecture 35 homework |
Fri Nov 21 |
lecture 38: Insulated Boundary Conditions;
myheatdisk.m |
lecture 36 homework;
do problem 36.1 as a Good Problem |
14 |
Mon Nov 24 |
lecture 39: Finite Difference Method for Elliptic PDEs;
mypoisson.m |
lecture 37 homework |
Wed Nov 26 | Thanksgiving holiday, no class
|
Fri Nov 28 | Thanksgiving holiday, no class
|
15 |
Mon Dec 1 |
lecture 41: Finite Elements;
mywasher.m |
lecture 38 homework |
Wed Dec 3 |
lecture 42: Determining Internal Node Values; Part IV review;
myfiniteelem.m |
lecture 39 homework; do problem 39.1 as a Good Problem |
Fri Dec 5 |
Review, part IV study guide |
lecture 41 homework |
16 |
Wed Dec 10 |
Final Exam
8-10 am., in our classroom.
|