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Daniel Alexander

Daniel Alexander

Hometown: Salt Lake City

Program: MS

Research Interests: Urban land surface modeling. Decay of Turbulent Kinetic Energy during the transition from the daytime convective boundary layer to the nocturnal boundary layer.

Comparison of indoor/outdoor carbon content and time resolved PM concentrations for gas and biomass cooking fuels in Nodales, Sonora, Mexico, Heather A. Holmes, Eric R. Pardyjak, Scott O. Speckart, Daniel Alexander


ME 2450 - Numerical Methods

Spring 2006

Class Information

Instructor: Eric Pardyjak
Lecture Time/Location: M,W 2:00 pm-2:50 pm EMCB 101
Office hours: 3pm - 4pm M W
Office: Room 160 KEN
Phone: 585-6414
Text: Numerical Methods for Engineers by S.C. Chapra and R.P. Canale, Fifth Edition, McGraw Hill 2006.

Class Syllabus


April 11, 2006: We will have QUIZ #4 on WebCT this coming Weds and Thursday (April 19 and 20) from noon on Weds to midnight on Thursday.

April 2, 2006: We will have a quiz on WebCT this Thursday and Friday on iterative solvers and curve fitting methods.

April 2, 2006: The due date for homework 7 has been delayed to April 3.

Feb 27, 2006: I've added my Muller's method code in the handout sections below for those who had difficulty programming it up.

Feb 15, 2006: Quiz number 2 will run from Tuesday 2/21 at noon through Thursday 2/23 at noon on WebCT. It will be a 15 minute quiz covering Roots of Equations.

Feb 8, 2006: Homework 4's due date has been changed to Feb 13. Also, the first quiz has been scheduled for Thursday and Friday Feb 9 and 10. You can take the quiz on webCT anytime between 10am Thursday and 5pm Friday.

Jan 29, 2006: I will be out of town this week. Dr. James Guilkey will be lecturing. He will be able to answer any questions you may have on this weeks homework. I will NOT have a quiz this week. We will discuss the first quiz when I return.

Jan 23, 2006: I will hold additinal Office Hours on Tuesday from 3-4pm


Homework #1 (Due 1/18/2006): 1.12, 1.13

Homework #2 (Due 1/25/2006): 3.2, 3.7, 3.9, 3.10 (code should be written for 3.2 & 3.9)

Homework #3 (Due 2/1/2006): 4.5, 4.6, 4.15 (no code is required for this week's homework)

Homework #4 (Due 2/13/2006): 5.2, 5.7 5.15 (code should be written to solve all three problems. This will essentially require you too write a bisection method solver and a false position method solver. Please hand in the following: your code and the solutions. If the question asks for you to graphically determine a root, be sure to include a plot)

Homework #5 (Due 2/22/2006): 6.3,7.4,7.17 (You will need to write a Newton Raphson solver code for 6.3 and a Mueller's method code for 7.4. No code is required for 7.17 although you may use the code you wrote from 7.4)

Homework #6 (Due 3/1/2006): 9.4, 9.8, 9.10 (please write code for problems 9.8 and 9.10)

Homework #7 (Due 4/3/2006): 10.2, 10.3, 11.7 (please write code for all three problems)

Homework #8 (Due 4/12/2006): 17.7, 17.12, 17.28 (please write codes for all problems)

Homework #9 (Due 4/19/2006): 21.6, 21.11, 22.4, 23.4 (No need to write code for these problems if you choose not to.)

Homework #10 (Due 4/26/2006): 25.18, 27.2, 27.3 (write code for all three please, use the Euler's method to solve 27.2, for problem 25.18 solve the ODE from problem 25.1 not 25.7, NOTE: 5 points of extra credit will be given if you do solve 25.7. If you are solving problem 25.1 please use a step size h=0.5. Also, for 27.2 if you use Runge-Kutta I will give you 5 extra credit points.)



Chapter 1-4 - Introductory Material

Chapter 5-8 - Roots of Equations

Chapter 9-12 - Linear Algebraic Equations

Chapter 17 - Curve Fitting

Chapter 21-23 - Numerical Integration and Differentiation

Chapter 25 and 27 - Ordinary differential Equations

  • Lecture 15: Introduction to ODEs and Runge-Kutta methods - Euler's method
  • Lecture 16: Introduction to Boundary Value Problems, the Shooting method, Finite Differences and PDEs

Miscellaneous Material that will help for the final exam

Grader Information

Prathap Ramamurthy
Bharat Thakkari