MATH 215 Section 001 Course Website

Course Info

• Syllabus: Here's a link to a pdf of the syllabus where you'll find critical information like meeting times, office hours, course policy, and grading procedures.
• Text: Elementary Linear Algebra by Kenneth Kuttler, version 4/2/09, available for download via this link.
• MATLAB: You can download a free copy of the software at this link. You'll need to use your university NetID and password. Alternatively, you can use the software on campus at computer labs in the ILC.

Homework

1. Download free copies of both the course text (required) and MATLAB (optional but highly recommended). Read Chapters 2 and 3 except for 2.7-2.9. Do exercises 1-5 in section 2.6. Also, find the vector v associated to the arrow with head at Q = (7,6,-1) and tail at P = (0,-3,8), and then compute the length of v. What's the distance between P and Q? Do exercises 1, 2, 7, 12, 13, 19-22, 26, 27 in section 3.3.
2. Read Chapters 4 and 5 except for 5.2.3. Do exercises 4, 6, 9, 12, 22, 30, 32, 39, 48, 49 in section 4.2. Do exercises 3, 6, 19, 20 in section 5.3. Do exercises 1, 2, 5, 8, 15, 16 in section 5.6.
3. MATLAB Assignment (counts as participation grade for Wednesday, June 17th, due Wednesday, June 24th): Perform the following tasks in MATLAB and e-mail me (or print out and hand in) the code you used in the command line. Something which should help you in saving only the code you want me to see (in particular, I only want to see the final code, nice and neat) is the 'diary' command. When you type 'diary hw' the code you write after that will be saved to a text file (not an m-file) named hw (which you can later open via File > Open > All Files), and you can likewise use 'diary off' to stop recording. So... you can toggle back and forth between recording only the final code after you have played around with commands first. (1) Define row vectors u = (8,6,7,5,3,0,9), v = (5,5,5,1,2,3,4) and the column vector w = (9,8,7,6,5,4,3) (recall that we can view vectors as either rows or columns, as is needed). (2) Compute u · v - w · w. (3) Find the distance between u and v. (4) Define A the be the matrix with first row u, second row w^T, and third row v. (5) Define C to be the 3 by 3 matrix AA^T. (6) Solve the linear system C[x y z]^T = [5 4 3]^T by first defining D to be the augmented matrix of this system and then applying the command to find the reduced row echelon form of D. (7) Multiply the matrix you get by writing C^(-1) with the column vector (5,4,3). What do you notice about the similarity between this result and that obtained from the previous problem?
4. Read Chapter 6 except for 6.5 and 6.6. Do exercises 1, 7, 8, 17, 18, 22, 25, 29, 30, 31, 37 in section 6.3. Do exercises 2, 3, 6, 8 in section 6.4.
5. Read Chapter 7 except for 7.5. Do exercises 4-8, 11-14, 19, 23-28, 34-35, 40-44, 46-48 in section 7.6.
6. Read Chapter 8. Do exercises 4, 8, 11, 15, 17, 20-25, 44, 45 in section 8.3.
7. Read Chapter 11 except for sections 11.2, 11.3. Do exercises 3-9, 19-23, 32, 35 in section 11.4.
8. Read sections 11.2 and 12.1, and subsection 12.2.2. Do exercises 25, 26, 29, 30 in 11.4. Do exercises 1-3, 6, 8, 9 in section 11.5. Do exercises 1-4, 7, 9, 10, 12-14, 17, 20-22, 25, 26, 44-46 in section 12.6.

Exams (Dates, Topics)

1. Chapters 2-5: Friday, June 26th.
2. Chapters 6-8: Monday, July 20th.
3. Chapters 11, 12: Wednesday, August 12th.

Projects

1. Balancing Chemical Equations
2. Cryptography
3. One-Dimensional Diffusion
4. Two-Dimensional Diffusion
5. Genetics
6. Least Squares Curve Fitting
7. Calculating an Elliptical Orbit