Tuesday

Thursday

Jan 15 Lesson: Introduction to numerical methods

Links: numerical disasters page, software bugs page

Homework: Pick a bug/disaster from the links above and give a 2-3 minute report in class on Jan 22

Reading: pp. 3 - 18

Jan 17 Lab 1: Error: Does Not Compute!

Links: SCUD missile incident from Federation of American Scientists page

Homework: Chapter 3 (p. 72), 3.4 (using Mathematica), 3.8

Reading: Chapter 3, pp. 50 - 72

Jan 22 Lesson: Errors

Reading: Chapter 3, pp. 50 - 72

Jan 24 Lab 2: Mr. Taylor, I Presume?

Reading: Chapter 4, pp. 73 - 96

Jan 29 Lesson: Taylor Series and More Errors

Reading: Chapter 4, pp. 73 - 96

Jan 31 Lab 3: Meet me in the Middle... Bisection!

Reading: pp. 105 - 110, and skim Chapter 5, pp. 112 - 123

Feb 5 Lesson: Root Finding

Reading: Chapter 5, pp. 124 - 130, Chapter 6, pp. 133 - 153

Feb 7 Lab 4: Getting Back to our Roots

Background Material: Chapters 5 and 6

Feb 12 Lesson: Fixed Point Iteration, Convergence, and Errors

Reading: Chapter 6, pp. 134 - 138, Epilogue, pp. 212 - 215

Feb 14 Lab 5: Convergence!

Feb 19 Lesson: Convergence and Complexity

Feb 21 Test 1

Feb 26 Lesson: Numerical Linear Algebra
Introduction

Reading: pp. 217 - 230, Chapter 9 pp. 231 - 261

Feb 28 Lesson: Norm and the Ill-Conditionings

Reading: Chapter 10 pp. 264 - 283

Mar 5 Spring Break

Campus Closed

Mar 7 Spring Break

Campus Closed

Mar 12 Lesson: LU-Decomposition

Mar 14 Lab 6: LU-dog in the van...

Mar 19 Lesson: Computational Complexity

Mar 21 Lab 7: Experimental Data

Mar 26 Lesson: Iterative Techniques

Reading: Chapter 11.2 pp. 289 - 296 Just for Rebecca :)

Mar 28 Lab 8: Polynomial Interpolation

Reading: pp. 425 - 439, Chapter 18 pp. 474 - 494

Apr 2 Lesson: Newton and Lagrange Interpolating Polynomials

Reading: Chapter 18 pp. 474 - 494

Apr 4 Lab 9: Interpolations, Approximations,and Splines

Reading: Chapter 18 pp. 495 - 505

Apr 9 Lesson: Approximating Functions

Reading: Chapter 17

Apr 11 Lab: Work on Projects!

Apr 16 Lesson: Numerical Integration

Reading: pp. 569 - 582, Chapter 21 pp. 584 - 605

Apr 18 Lab 10: Numerical Integration

Reading: Chapters 21 and 22

Apr 23 Lesson: Numerical Differentiation

Reading: Chapter 23

Apr 25 Lab: Work on Projects!

Apr 30 Lesson: Numerical Differential Equations

Reading: pp. 671 - 680, Chapter 25 pp. 681 - 701

May 2 Lab 12: Numerical Solutions to DEs

Reading: Chapter 25 pp. 701 - 711, 7.16 - 723

FINAL EXAM PERIOD: Monday May 6
1:00 - 2:45
Exam 2: Numerical Differentiation and Integration