# Teaching Monday Tuesday Wednesday Thursday Friday 9:30--11:00 9:30--10:30 9:30--11:00 by appointment ## Classes Summer 2007

• ### Math 5630/6630 Introduction to Numerical Analysis I

• #### Course Outline

• Overview
• Review of calculus
• Principles of numerical mathematics and floating point arithmetic, stability and condition.
• Root finding for nonlinear equations.
• Polynomial interpolation and approximation.
• Numerical differentiation, and numerical integration.
• Numerical approximation of solution of ordinary differential equations (initial-value problems).
• If time permits, numerical approximation of solution of ordinary differential equations (two point boundary-value problems).

## Classes Spring 2007

• ### Math 5640/6640 Introduction to Numerical Analysis II

• #### Course Outline

• Overview
• Review of linear algebra
• Numerical mathematics: computer arithmetic, stability and condition.
• Source of problems (as time permits).
• Linear systems of algebraic equations (direct and iterative solvers).
• Eigensolvers.

## Classes Spring 2005 ## Classes Fall 2004

• ### Math 2650 Linear Differential Equations

• #### Homework Assignments

• Review Calculus.
• Section 1.2 problems 1-15 odd, and 17-24.
• Section 1.3 problems 1-10 odd, and 21-29.
• Section 1.4 problems 1, 2, and 7-24.
• Section 2.1 problems 1-10 odd, 29-35, 37, and 38.
• Section 2.3 problems 4-10, 13-16, and 17-24.
• Homework 1 - 1.2 problem 18, 1.3 problem 27, 2.1 problem 35, and 2.3 problem 6. Due Wed. Sep. 8.
• Project 1 - due Wednesday September 15. Direction fields Maple worksheet and project1 assignment.
• Section 1.5 problems 1, 2, and 3.
• Section 1.6 problems 1-4, 11, 19, and 26.
• Isoclines Maple worksheet.
• Euler's method Maple worksheet.
• ModelingMaple worksheet.
• Section 3.1 problems 1-6, 7, 9, and 11.
• Section 4.1 problems 6-8 and 33-35.
• Section 4.2 problems 6-12, 13, 15, 17, 19-25, and 26.
• second order equations.
• linear, constant coefficient, second order equations.
• free oscillations.
• forced oscillations (undamped and damped).
• Section 4.3 problems 7, and 8.
• Section 4.4 problems 1-8, and 11-14.
• Section 4.5 problems 5-20.
• Section 4.7 problems 1 and 2.
• pendulum demo.
• Section 6.1 problems 1, 6, and 7.
• Section 6.3 problems 5-10.
• Section 6.4 problems 1-13.
• Laplace transforms.
• Section 7.1 problems 1-4, 9, and 11.
• Section 7.2 problems 1-4, 11, 12, 17, 18, 21, and 22.

• ### Math 7600 Advanced Numerical Matrix Analysis ## Classes Spring 2004

• ### Math 7610 Numerical Solution of Partial Differential Equations

• #### Matlab Programs

• heat1d.m a program to construct approximate solutions of the heat eq. using the finite difference method.
• laxf.m Lax-Freidrichs scheme for the one-way wave equation.
• laxw.m Lax-Wendroff scheme the one-way wave equation.
• leapfrog.m Leapfrog scheme the one-way wave equation.
• FEM directory Matlab M-files comprising a 2-d finite element code. ## Classes Fall 2003

• ### Math 6970/7970 Mathematical Computation and Scientific Visualization

• #### Matlab Programs ## Classes Spring 2003

• ### Math 7680 Introduction to Multigrid Methods

• #### Matlab Programs

• plotsine.m - a program to plot some Fourier modes on a grid with n=12 on the interval [0,1] (illustrates how smooth and oscillatory modes are represented and aliasing).
• jacobi.m - a program that performs a Jacobi and weighted Jacobi iteration (starting with an eigenvector of the iteration matrix, illustrates smoothing property for the various modes).
• The files you need for the multigrid mu cycle MGmu.m, mg.m, or mg_nr.m, relax.m, restrict.m, and intadd.m.
• A fortran version of the multigrid mu cycle mg_mu.f.
• The relaxation demonstration program and three types of relaxations using matrices a point by point scheme (using a for loop) and a vectorized point by point (avoiding a for loop).
• The additional, or replacement files you need in order to implement the full approximation scheme FMV.m the driver routine, fmg.m full approximation scheme multigrid, put.m, and subtract.m.

## Classes Fall 2002

• ### Math 1120 Pre-Calculus Algebra

• Syllabus
• Teaching assistants and important dates
• Tutoring and help sessions
• Math Help Center - Monday--Thursday from 4:00pm to 8:00pm, Parker Hall 360, 362, and 364.
• Supplemental Instruction (offered by the university for PreCalc students) - Monday, Wednesday, and Thursday 4:00pm to 5:00pm, Parker Hall 249.
• Study Partners (a free tutoring service offered by the university) - RBD Library 0176. For more information see the detailed schedule.

#### Teaching Assitants

Li Fan 204 Mell Hall, 844-3737
fanli01@auburn.edu

Kang Jin 210 Mell Hall, 844-3621
jinkang@auburn.edu

Kelly Sweetingham 206-A Mell Hall, 844-3742
sweetka@auburn.edu

 TA Monday Tuesday Wednesday Thursday Friday L.F. 1:00-2:30 1:00-2:30 1:00-2:00 K.J. 1:00-2:30 1:00-2:30 2:00-3:00 K.S. 1:00-2:30 1:00-2:30 9:00-10:00

#### Homework

• Homework 1: Section 2.3 (page 90) Problems: 1, 2, 7, 9, 15--17, 19, 21, 22, 25, 27--29, 31--43 odd problems, 53, 55, 57, and 61.
• Homework 2: Section 2.4 (page 101) Problems: 1, 3, 9, 15,19--25 odd problems, 29, 35, 36, and 39--47 odd problems.
• Homework 3: Section 2.5 (page 107) Problems: 1--11 odd problems, 15, 17, 21, 27, 35, 37, 45, 47, 51, 53, 55, 59, 61, and 63.
• Homework 4: Section 2.6 (page 117) Problems: 3, 5, 7, 9, 13, 15, 17, 27--37 odd problems, 41, 43, 53--63 odd problems, 71, 75, and 83.
• Homework 5: Section 2.7 (page 125) Problems: 1--27 odd problems, 37, 39, 43, 45, and 47.
• Solution of quiz 1
• Homework 6: Section 3.1 (page 139) Problems: 3, 7, 9, 13, 15, 19--27 odd problems, and 31.
• Homework 7: Section 3.2 (page 154) Problems: 3--6, 15, 17--19, 21, 27--33 odd problems, 35, 39--45 odd problems, 51, 53, 59, and 61.
• Homework 8: Section 3.3 (page 170) Problems: 7, 15--23 odd problems, 33, 35, 39, 47, 51, 55, 57, and 61.
• Homework 9: Section 3.4 (page 189) Problems: 3, 9, 17--21, 33--39, 45--49 odd problems, 53, 57--59, 61, and 65.
• Homework 10: Section 3.5 (page 204) Problems: 1--5 odd problems, 11, 12, 15, 17, 25--37 odd problems, 41--47 odd problems, and 53--57 odd problems.
• Homework 11: Section 3.6 (page 219) Problems: 1, 3, 7, 9, 13--21 odd problems, 27--31 odd problems, 33, 34, 38, 39, 41, and 43.
• Homework 12: Section 3.7 (page 232) Problems: 3, 5, 7, 11--17 odd problems, 21--27 odd problems, 33, 35, 37, 45, and 47.
• Homework 13: Section 3.8 (page 243) Problems: 1--11 odd problems, 15--35 odd problems, 39, and 41.
• Homework 14: Section 4.1 (page 269) Problems: 1, 3, 5--23 odd problems.
• Homework 15: Section 4.2 (page 279) Problems: 1--3, 5--15 odd problems, 17--20, 39, and 41.
• Homework 16: Section 4.3 (page 291) Problems: 1--9 odd problems, 15--19 odd problems, 23, 25, and 47.
• Homework 17: Section 4.4 (page 301) Problems: 1--17 odd problems.
• Homework 18: Section 4.5 (page 318) Problems: 3--23 odd problems, 29, 31, 33, 37, 39, 41, 43--45, 47, 52, and 53.
• Homework 19: Section 5.1 (page 335) Problems: 1, 3--5, 7, 9--12, 17--23 odd problems, 25, 27, 31, 33, 42, 43, 47, and 48.
• Homework 20: Section 5.2 (page 345) Problems: 3--8, 11-15 odd problems, 19, 21, 25, 27, and 28.
• Homework 21: Section 5.3 (page 359) Problems: 1--13 odd problems, 17--33 odd problems, 51, 55, 57, 59, 62, and 70.
• Homework 22: Section 5.4 (page 370) Problems: 1, 5, 7, 11--31 odd problems, 41, 43, 45, 53, 54, 56, and 59.
• Homework 23: Section 5.5 (page 381) Problems: 1--7 odd problems, 11--33 odd problems, 49, 50, 54, and 57.
• Homework 24: Section 9.1 (page 632) Problems: 1--30 odd problems, 33, 34, and 35.
• Homework 25: Section 9.2 (page 641) Problems: 7--15 odd problems, 19, 21, 29, and 31.
• Homework 26: Section 9.5 (page 675) Problems: 1--13 odd problems, 19, 21, 24, and 31.
• Homework 27: Section 9.3 (page 650) Problems: 3--9 odd problems, 11--25 odd problems, 27, 28, 29, and 31.
• Homework 28: Section 9.4 (page 659) Problems: 1--7 odd problems in these problems find both min. and max., 9, 13, and 17.
• Homework 29: Section 10.4 (page 760) Problems: 1--13 odd problems, 19, 23, 27, and 31.
• Homework 30 (the last one): Section 10.5 (page 769) Problems: 1--11 odd problems, 13--15, 17--21, 27--35 odd problems, and 39--43 odd problems.
• That's it!

#### Important Dates

Tentative test dates are: Friday September 6, Friday September 27, Friday October 18, Friday November 8, and Wednesday December 4. The final exam will be administered on Monday December 9, 11:00- 1:30 (see Fall schedule for details).

#### Online Tutorial

You can try the Brooks Cole online tutorial for our textbook. Go to the Brooks Cole web site select Register, select our school (Auburn University), and for the pin use 0534377599. From the products choose tutorials, click on the book cover and start working problems. Note, I have already found problems that don't behave exactly right, and in my opinion the interface is a little quirky... Also you must have a supported web browser (a recent version of Internet Explorer or Netscape. Enjoy, and let me know what you think of it.

#### Test 4 will cover sections 2.3--5.4

Be sure to bring your Student ID on test days.

• ### Math 6000 Mathematical Modeling: Continuous

• #### Some Maple Demos ## Classes Spring 2002

• ### Math 7610 Numerical Solution of Partial Differential Equations

• The numerical solution of partial differential equations using the finite difference and the finite element methods.

#### Homework

• Here you can find the old fortran finite element code mentioned in class and the M-files that make up it revised Matlab counterpart.