ENEE 241/MATH 242

Numerical Techniques in Engineering

Spring, 2002

HOMEWORK ASSIGNMENTS

• Homework is assigned regularly by the instructor, and is regularly but partially graded by TAs. All the homework papers should be turned into your TAs in your discussion classes.
• For each Matlab related homework question, you need to turn in the following
  • the command part;
  • the result part (including figures);
  • the explanation part, if needed.
• Homework must be neat, well-organized, and easy to read. All homework papers for each assignment must be stapled together. Your TAs can refuse to accept your homework, if it is messy or its papers are not stapled together.
• No late homework will be accepted unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided and approved by the instructor.
• The homework with lowest score will be dropped.

Homework assignement 1: due in discussion classes on Tuesday, 2/5, or Thursday, 2/7, 2002.

See the handout.

Homework assignment 2: due in discussion classes on Tuesday, 2/12, or Thursday, 2/14, 2002.

1.4, 1.6, 1.11, 1.12, 1.13, 1.14, 1.15, 1.17, 1.19.

Homework assignment 3: due in discussion classes on Tuesday, 2/19, or Thursday, 2/21, 2002.

2.2, 2.6, 2.10, 2.11.

Homework assignment 4: due in discussion classes on Tuesday, 2/26, or Thursday, 2/28, 2002.

2.3, 2.4, 2.8(Cholesky decomposition, but not its number of flops), 2.13, 2.21.

Homework assignment 5: due in discussion classes on Tuesday, 3/5, or Thursday, 3/7, 2002.

See the handout.

Homework assignment 6: due in discussion classes on Tuesday, 3/12, or Thursday, 3/14, 2002.

2.7, 2.12, 2.17.

Homework assignment 7: due in discussion classes on Tuesday, 3/19, or Thursday, 3/21, 2002.

3.2, 3.3, 3.4, 3.6, 3.10.

Additional problem:
(1) write a Matlab script to solve the equation x*x = 2 within accuracy exp(-6) using the bisection method with the initial interval [0, 10].
(2) write a Matlab script to solve the equation x*x = 2 using the Newton method with 4 steps and the initial guess x0 = 2.

Homework assignment 8: due in discussion classes on Tuesday, 4/9, or Thursday, 4/11, 2002.

3.7, 3.8, 3.12 (Newton's method only), 3.17, 3.18.

4.1, 4.2, 4.3, 4.4, 4.5, 4.12, 4.14.

Homework assignment 9: due in discussion classes on Tuesday, 4/23, or Thursday, 4/25, 2002.

Textbook: 4.9, 4.10, 4.11, 4.13, 5.1, 5.4.

Additional problems: see the handout (due Friday, 4/26.02).

Homework assignment 10: due in class on Monday, 5/13/02.

Textbook: 7.1, 7.3, 7.4, 7.5.

Additional problems: see the handout.