**Course:** Math 415, Linear Algebra, Section E13

**Time:** MWF 1:00--1:50pm

**Location:** 245 Atlgeld Hall

**Instructor:** Prof. Leininger

**Phone:** 265-6763

**Email:** clein (at) math.uiuc.edu

**Office:** 324 Illini Hall

**Office hours:** MONDAY 10:00--12:00, 2:00--3:00, and by appointment

**Text:** *Linear Algebra with applications* by S. J. Leon.

**Homework:** This will be assigned on Wednesday and collected the following Wednesday. Everyone should turn in their own solutions each Wednesday, but I also expect you to work together as well as independently.

An optimal strategy is to: (1) try each problem yourself first; (2) get together with others to discuss your solutions and questions; (3) write up the solutions yourself. There is a balance which must be achieved to optimize the benefits of homework: Struggling with a problem leads to a much deeper understanding of the concepts. On the other hand, if you are really stuck, talking to other can help you get ``unstuck'', and can help you move on.

Hand in only neatly written solutions. This is very important, and messy work will be returned ungraded!

**Tests:**
There will be two midterms and a final exam. The dates for the midterms will be determined soon and posted to this page. The final exam will be 1:30-4:30 PM, Wednesday, December 13.

**Grading:**
The grades for the course will be determined by homework 10%, midterms 25% each, and the final 40%. I will not assign any letter grades until the end of the semester. There will be absolutely \textbf{no make-up exams}, so don't ask. I will decide how to handle missed exams based on the reason.

**Syllabus:**
From the text: § 1.1--1.5, § 2.1--2.3, § 3.1--3.6, § 4.1--4.3, § 5.1--5.6, § 6.1, 6.3--6.7.

**Some** solutions to the homework can be found hanging from my door. Please just make a copy of the solutions and return them... don't ruin it for everyone! Sorry, but some are already missing.

!!*Note that problems § 3.1: 6, 9, 10 that were formerly due 9/13 have been moved to the next week and are included now in the homework due 9/20.*!!

Office hours for the week 10/9--10/13 have been moved to Wednesday: 8--9, 10--11, 2--3 (and so **canceled** on Monday, 10/9).

**Homework 1:** *due 8/30:* § 1.1: 1(a)(c), 5(b)(c), 6(a)-(d), 8; § 1.2: 1, 5(a)-(e), 6(a)(c); § 1.3: 1(a)-(d), 2(a)-(d), 4, 5(a)(b), 10, 12.

**Homework 2:** *due 9/6:* § 1.3: 15, 17, 23, 26; § 1.4: 3(a)-(c), 7, 10, 22; § 2.1: 2(a)-(c), 9, 11.

**Homework 3:** *due 9/13:* § 2.1: 12; § 2.2: 5, 6, 11, 12, 14 (the sol'n to 12 in the book is a typo: its actually the solution to 13); § 2.3: 4, 5, 6; § 3.1: 3, 4.

**Homework 4:** *due 9/20:* § 3.1: 5, 6, 9, 10, 12, 14; § 3.2: 3, 4, 8, 10, 11, 17, 18, 20; § 3.3: 1, 3, 5.

**Homework 5:** *due 9/25 (MONDAY!):* § 3.3: 7, 11, 12, 14, 16. § 3.4: 3, 7, 9, 12, 16.

**Midterm 1:** *Friday 9/29* here is the "review sheet".

**Homework 6:** *due 10/13 (FRIDAY!):* § 3.5: 1, 5, 7, 10; § 3.6: 4, 6, 9, 10, 14, 18, 22, 25; § 4.1: 3, 5, 8, 12, 15, 16, 20.
a couple solutions (thx 2 grader).

**Homework 7:** *due 10/18:* § 4.2: 2, 3, 5, 7, 13, 14, 16, 20. a couple solutions (thx 2 grader).

**Homework 8:** *due 10/27 by 11:00am:* § 4.3: 4, 7, 8, 10, 15; § 5.1: 2, 11, 13, 14; § 5.2: 1, 6, 8, 11, 16.a couple solutions (thx 2 grader).

**Homework 9:** *due 11/3:* § 5.3: 1, 2, 3, 10, 11, 12. § 5.4: 1, 4, 9, 12, 29.a couple solutions (thx 2 grader).

**Homework 10:** *NOT due: * § 5.5: 1, 6, 8, 15, 21, 22, 25; § 5.6: 2, 3, 5, 8, 11.

**Midterm 2:** *Friday 11/10* here is the "review sheet".

**Homework 11:** *due 11/29:* § 6.1: 1(a),(f),(h),(l),
6, 9, 26; § 6.3: 1(a),(d), 2(a),(d), 6, 7, 26(a), 27, 30; §
6.4: 1, 5(a),(b),(c),(d), 7 a couple solutions (thx 2 grader).

**Homework 12:** *due 12/6:* § 6.4: 9, 13, 17, 19; § 6.5: 1, 2, 6, 8, 9; § 6.6: 1, 4. a couple solutions (thx 2 grader).

**Homework 13:** *Never due:* § 6.6: 7, 8, 10.

**Final exam:** *Wednesday 12/13, 1:30--4:30* here is the "final review sheet". This is to be used **in addition** to the other two review sheets. The final exam is cumulative.

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