Mathematical Models for Engineering Problems and Differential Equations (fall,2013): homeworks

Note

TA info
- 김현준
- office: #206 (Computer Graphics Lab)
- e-mail: kamumik@gmail.com
Please submit your (hand-written) homework directly to the TA at room 206.
Please send source files to TA via e-mail for coding problems.

12/26 Scores for all homeworks are posted. Please contact the TA if you have any question.
12/9 Homework for Chap 7 (due: 17 Dec before class)
- (by hand & calculator) 2, 5, 10
- (by Octave) 16, 22
12/9 Score for homework 1&2
11/12 (due: 29 Nov)
- Chap 5: (by hand) 15 (coding) 18, 23
- Chap 6: (by hand) 2, 12, 13 (coding) 19
- Extra (coding - submit your Octave code to TA, Chap 6) Compute the integral formula (6.14) in Example 6-1 (p.257) using following methods. For each method, compute integrals twice using 12 and 24 subintervals. Also, find the error value for each computation. (The exact value is in Example 6-1.)
  1. Composite rectangle method
  2. Composite midpoint method
  3. Composite trapezoidal method
  4. Composite Simpson's 1/3 method
  5. Composite Simpson's 3/8 method
  6. Gauss quadrature with n=3,4,5
10/21 (due: 29 Oct)
- Chap 3: (by hand) 15
- Chap 4: (by hand) 3, 5, 12, 13 (coding) 19
- Extra (Chap 3):
  1. Find the quadratic spline in Example 4-7 using the method based on the Lagrange polynomial. Each polynomial should be written in the form "ax²+bx+c".
  2. Find the cubic spline in Example 4-8 using the standard method.
9/27 (due: 8 Oct) Chap 2: (by hand) 5, 7 (find only one root), 11 (coding) 16, 20, 23

Homeworks