Math 225, Sections N2 and S1

Altgeld Hall

Instructor: Maya Saran

Office hours: 10:00 - 11:00 a.m Wednesday, 11:00 a.m. - noon Thursday (and by appointment)
Office: 326 Altgeld Hall
Phone: (217) 265-5521
e-mail: msaran@math.uiuc.edu

Test schedule:
First Midterm: Feb 27
Second Midterm: NOT April 8: changed to APRIL 15.

Final exam:
Section N2 (10 am TuTh): 8-11 am, Friday May 9, in our usual classroom
Section S1 (2 pm TuTh): 1:30-4:30 pm, Thursday May 15, in our usual classroom

Notes on the final:
1. The final will cover the whole course.
2. The concepts of linear independence, the span of a set of vectors, basis and dimension will be the focus of many of the questions.
3. Half of the questions on the exam will focus on material from chapters 5 and 6.
4. You can leave out the Leontief input-output model.
5. You can find the syllabus for the course here: Math 225 syllabus
6. YOU MAY BRING ONE 4in X 6in INDEX CARD TO THE FINAL. You may use both sides of the card to write down formulas etc that you find hard to remember. However, please do NOT waste huge amounts of your precious study time making this card - be reasonable!

Grades:
Each midterm will count for 20% of the overall grade. HW and quizzes will count for 25% and the final exam for 35%.

HOMEWORK
(All problems from the textbook: Linear Algebra and its Applications by David Lay, THIRD edition. Problem numbers refer to the exercises, not to the practice problems.)

HW 1, due Jan 28.
Section 1.1: #23, 24. Section 1.2: #2, 8, 11, 14, 16, 18.
(for my 10:00 a.m. section, you have different problems from 1.1, due on Jan 30, and your 1.2 problems are due along with the next assignment.)

HW 2, due Feb 4.
Section 1.3: #5, 6, 8, 9, 14, 23. Section 1.4: #1, 2, 8, 9, 11, 12, 13, 16, 17, 24.

HW 3, due Feb 11.
Go through practice problems 1 and 2 from section 1.5.
Problems to be handed in: Section 1.5: #2, 6, 8, 13, 14, 15, 18, 26. Section 1.6: #1, 6, 11.

HW 4, due Feb 18.
Section 1.7: #6, 8, 10, 12, 15-20, 21. For 21(d), it might be helpful to see what happens for vectors in 3-dimensional space.
Section 2.1: #1, 5, 7, 8, 9, 10.

HW 5, due Feb 25.
Section 2.2: # 1, 2, 5, 9, 31, 32. Section 2.3: 2, 4, 6, 8, 11, 15, 16.

No HW due on Mar 4.

HW 6, due Mar 11.
Section 3.1: #10, 11, 12, 16, 18. Section 3.2: #5, 6, 8, 15-20, 26, 29, 31, 33, 36, 40.

HW 7, due Mar 18.
Section 3.3: #4, 6, 8, 14, 16. Section 4.1: #27, 28.

HW 8, due Apr 1. No late submissions!
READ SECTIONS 4.1 AND 4.2.
Section 4.1: #1, 2, 6, 7, 15-18, 29. Section 4.2: #1, 4, 8, 10, 16, 24.

HW 9, due Apr 8.
Read sections 4.3 and 4.5. (4.4 is not in the syllabus.)
Section 4.3: 3-6, 10, 14, 20, 21, 22, 23, 24, 25. Section 4.5: 2, 3, 9, 10, 12, 13, 19, 20, 29. Section 4.6: 2, 3, 5, 7, 18, 19, 21.

HW 10, due Apr 22.
Read sections 5.1, 5.2. Hand in the following problems:
Section 5.1: #1, 5, 6, 7, 10, 14. Section 5.2: #1, 9-12, 15, 16. For the definition of the multiplicity of an eigenvalue, see page 314.

HW 11, due THURSDAY, Apr 24.
Write up complete, correct solutions to those questions on the midterm on which you lost more than two points, with no collaboration.

HW 12, due Apr 29.
Read sections 5.3, 6.1. Hand in:
Section 5.3: #1, 4, 5, 6, 7, 11, 12, 16, 17, 21, 24, 25. (for 11-17, the eigenvalues are given on the bottom of page 325.)
Section 6.1: #5-8, 10, 14, 15-18, 23, 27, 28.

HW 13, due THURSDAY, May 1.
Read section 6.2. Hand in: Section 6.2: # 2, 3, 4, 7, 10, 17, 21, 23 a-d, 24 a,b,e.

HW 14, will not be collected. Please do it though, because this material is going to be on your final. For the final, you will not have to memorize the formula in the Orthogonal Decomposition Theorem, but you will need to know how to use it and what the geometric interpretation is.
Read sections 6.3, 6.5. Do these problems: Section 6.3: #1, 2, 3, 8, 11, 15. Setion 6.5: #1, 3, 5, 7.