Basic methods for obtaining numerical solutions with a digital computer. Included are methods for the solution of algebraic and transcendental equations, simultaneous linear equations, ordinary and partial differential equations, and curve fitting techniques. The methods are compared with respect to computational efficiency and accuracy.
Class will be divided in 4 weeks
Week #1: Chapters 3-6. Approximations and Round-Off errors, Truncation errors, Roots of equations: Bracketing Methods and Open Methods.
Week #2: Chapters 7-11. Roots of Polynomials. Linear Algebraic Equations: Gauss Elimination, Matrix Inversion.
Week #3: Chapters 17-18/21-22. Regression and Interpolation. Numerical Integration.
Week #4: Chapters 23-25/29. Numerical Differentiation. Integration of differential equations
ENGR 1112, 1001 or
Computer Science 1313 or 1323, and Mathematics 3113.
Homework:
All work will be performed in class. Homework will be assigned only if
students run out of time.
Class Format:
-- Monday through Thursday: lectures and in-class exercises.
-- Fridays: 1 hour review and Q&A. Test 1hr.
-- NO FINAL
Grading System:
- Participation and Attendance 15% (A maximum
of one unexcused absence is allowed per week-Points for in class quizzes are
lost unless the absence is excused in which case a make up will be
arranged).
- In class-quizzes 25%.
(Four quizzes can be dropped from consideration).
- Tests (4-one per week) 60%.
Grades will be posted every Monday.
Office Hours:
I have an open door policy.
Walk in my office every time you want and I will interrupt whatever I am doing.
In case you feel better having an appointment, arrange for one. Two important rules to talk to me:
1. Make sure you thought about the problem and have some analysis to offer together with your question
2. Make sure you can explain you problem or make the question in one-two sentences.
LOCATION: Sarkey's Energy Center: T-233. If you want to make sure I am in my office, then call me at 360-5202.
Class Material:
Monday June 5 : - Parachute problem - Problem
3.5 - Problem
3.6 - PPT
Chapter 1 - PPT
Chapter 3
Tuesday June 6: - Answer
to Quiz 1 - Excel
File
- PPT
Chapter 4
Wednesday June 7: - PPT
Chapter 5
- Excel
File
Thursday June 8: - Bracketing
algorithm - Excel
File Brack - PPT
Chapter 6 - Excel
File-NR-Fixed Point and Secant
Friday June 9: - Answer
to Quiz 2 - Excel
File
Friday June 9: - Answer
to Test 1 - Test
1- Problem 3 - Test
1- Problem 5 - Test
1- Problem 6
Monday June 12: - PPT
Chapter 7 - Excel
File-Roots of Polynomials - Excel
File-NR-Two Variables
Tuesday June 13: - Excel
File-Goal Seek+Solver
- PPT
Chapter 9 - Excel
File-Naive Gauss - Excel
File-Gauss-Jordan
Wednesday June 14: - Answer
to Quiz 3 - Excel
File - Excel
File-Naive Gauss-Alternative - Excel
File-Gauss-Jordan-Alternative
- PPT
Chapter 10
Thursday June 15: - Answer
to Quiz 4 - LU
Decomposition - Matrix
Inverse using LU Decomposition - Gauss
Seidel - PPT
Chapter 11
Friday June 15: - Answer
to Quiz 5
Friday June 15:
- Answer
to Test 2 - Test
2- Problem 2 - Test
2- Problem 4 - Test
2- Problem 5
Monday June 19: - PPT
Chapter 17
Tuesday June 20: - Excel-Regression - PPT
Chapter 18
Thursday June 22:
- PPT
Chapter 21 - Answer
to Quiz 6
Friday June 23: - Answer
to Quiz 7 - PPT
Chapter 13 - Answer
to Test 3 - Test
3- Problem 2
Monday June 26: - PPT
Chapter 14 - Random
Search Excel File - PPT
Chapter 23
Tuesday June 27: - Answer
to Quiz 8 - PPT
Chapter 25 - PPT
Chapter 26
Wednesday June 28: - Answer
to Quiz 9 - PPT
Chapter 27
Thursday June 29: - Answer
to Quiz 10 - Excel-Quiz-9 - Excel-Boundary Value problems-R-K - PPT
Chapter 29 - PPT
Chapter 30
The answer to quiz 11 can be obtained from the material supplied for quiz 10: just change the f(x,y) function.
Students with disabilities:
Any student in this course who has a disability that may prevent him or her from fully demonstrating his or her abilities should contact the instructor personally as soon as possible so accommodations necessary to ensure full participation and facilitate his/her educational opportunities are discussed.
In addition OU provides help. Visit http://www.sa.ou.edu/ods/