Note: 1. In the following: C3.2 stands for computer problems in Section 3.2, and so forth. 2. Sample programs can be downloaded from the course web page. 3. Please email your program to qfang@math.purdue.edu (with a simple instruction on how to produce your results), and hand in the printout of the results to me. Project 1: Due Feb 12 Use and modified the programs newton0.m (for scalar function only, can be easily modified) and newton.m (works for vector functions) to do the following: C3.2: 3, 14b Use the secant method for problem 3 in C3.2. Use the Newton's method and Horner's algorithm to solve Problem 5 in C3.2. Project 2: Due March 20 C6.4: 6 C6.4: 7 C6.4. 8 Some helpful sample matlab programs are (ginterp.m, nspline.m) available from the course web page. Project 3: Due. Apr. 22 C7.1: 1 (compute up to D(10,10)) C7.1: 2, use the program to approximate the second derivative of the funtions in C7.1 #1 (compute up to D(10,10)) C7.4: 1 (compute up to R(10,10))