MATH238 Homework Problems

Note: You are not required to do problems that are highlighted in pink. These are difficult problems that you can try if you want to challenge yourself. These problems will not affect your grade in any way. They will not be on quizzes or exams, but please do come see me if you want to talk about these advanced problems. I will post about three advanced problems a week on this page for those who are interested.

Lecture 1 (8/29) : Read section 1.1.

Lecture 2 (8/31) : 1.1.
#1, 3, 5, 7, 9, 11
Lecture 3 (9/1) : 1.1. #13, 15, 17, 19, 21
Lecture 4 (9/2) : Master all problems on section 1.1. worksheet given in class and read section 1.2. worksheet1.1.

Lecture 5 (9/5) : 1.2.
#1, 3, 5, 9, 11, 17, 19, 21, 23, 26, 27, 28, 29, 31, 32
Lecture 6 (9/7) : Prove Theorem 1.2. and 1.3., Redo 1.2. #26, 27, 32(c) by using the matrix multiplication formula that we learned in class.
Lecture 7 (9/8) : Read p.28--p.32, 1.3. #1, 3, 5, 7, 9
Lecture 8 (9/9) : Review quiz 1 solution posted on the course website and review all problems done in class.

Lecture 9 (9/12) : Read p.33--p34, 1.3. #15, 18, 20, additional homework problems
Lecture 10 (9/14) : Review class notes.
Lecture 11 (9/15) : 1.4. #2-6, 11-14, 18-20, 33 and read section 1.4. worksheet1.4.
Lecture 12 (9/16) : 1.5. #1, 5, 7, 9, 11, 13, 15 and read section 1.5.

Lecture 13 (9/19) :  Redo 1.5. #11 and 13 by using Theorem 1.20 and Corollary 1.18
Prove Theorems 1.21 and 1.31.
1.6. #1, 3, 15(c) and read p51--p54.   advanced problem
Lecture 14 (9/21) : Read p55--p56, 1.6. #7, 9, 11, 12
Lecture 15 (9/22) : Prove the Cramer's rule by following the worksheet. worksheet1.6
Lecture 16 (9/23) : 2.1. #3, 5, 6, and read p.65--p73.    VS_properties

Lecture 17 (9/26) : Read p74--p78, 2.2. #1, 2, 4, 5.   advanced problem
Lecture 18 (9/28) : No additional homework.
Lecture 19 (9/29) : Review class notes and read p79--p81.
Lecture 20 (9/30) : 2.2. #11, 13, 15, 17.

Lecture 21 (10/3) : Read p83--p89, 2.3. #3, 5, 7, 9, 11, 13, 15, 17, 19, 21  advanced problem
Lecture 22 (10/5) : Review the proof done in class and read p89--p93,  2.3. #23, 25
Lecture 23 (10/6) : No additional homework.
Lecture 24 (10/7) : Exam 1 Day. --No homework.

Lecture 25 (10/10) : 2.4. #1, 2, 3, 4, and prove Lemma 2.8. (p.95)
Lecture 26 (10/12) : Redo problems 2.4. #1, 2, 3, 4 by using some new results that we learned in class today.
Lecture 27 (10/13) : 2.4. #5, 7, 9, 11, 13, 15 (See p103 example 5 before doing #13, 15.)
Explain why RS(A)=RS(B) if A and B are row equivalent matrices.
Lecture 28 (10/14) : Read section 5.1. Prove Theorem 5.2. and 5.3, Example 4 on p237,
5.1. #1, 3, 7, 11, 15, 17, 19, 21, 36

Lecture 29 (10/17) : 5.1. #29, more homework problems
Read and understand Theorem 5.6, Corollary 5.7, Theorem 5.8, and Theorem 5.9 in section 5.2.
Lecture 30 (10/19) : 5.3. #1, 3, 5, 6 parts a) d) e) f) g) #9, 11, 13.  Prove Corollary 5.5. (p243)
Lecture 31 (10/20) : 5.3. homework problems--answer
Lecture 32 (10/21) : Review lecture notes.

Lecture 33 (10/24) : No additional homework.
Lecture 34 (10/26) : Exam 2 Day. --No Homework.
*I will return the graded exams on 10/27 (Thursday) which is the last day to withdraw from a class with a "W" grade.
Lecture 35 (10/27) : Read section 5.4.
5.4 #1, 5, 7, 9, 13, 17, 21, 22, 23, 26
Lecture 36 (10/28) : Read section 5.6 and do problems #1, 3, and 4 part (a).

Lecture 37 (10/30) : No additional homework. Review lecture notes.
Lecture 38 (11/2) : No additional homework. Complete the take home bonus quiz given in class. The take home bonus quiz is due on 11/3 in class. No questions will be answered about this quiz until it is collected. All necessary instructions were given in class. advanced problem
Lecture 39 (11/3) : TAKE HOME BONUS QUIZ DUE IN CLASS.
3.1 #1, 3, 5, 7
3.2 #1, 3, 5, 7, 9, 11, 13, 15
Lecture 40 (11/4) : 3.3 #1, 3, 5, 7, 9, 11, 17

Lecture 41 (11/7) : 3.4 #3, 5, 7, 11, 13, 17
Lecture 42 (11/9) : Read section 3.7.
Lecture 43 (11/10) : 3.7 #1, 3, 5, 7, 9, 11, 13, 15
Lecture 44 (11/11) : Read section 3.5 and do problems 3.5 #1, 3, 11, 13, 17.

Lecture 45 (11/14) : Read section 4.1 from p179 to p186. Prove Theorem 4.2.
Lecture 46 (11/16) : 4.1 #1, 3, 5, 7, 9, 11, 13, 15.
Lecture 47 (11/17) : Do examples 2 and 3 on p281 and p282.
Lecture 48 (11/18) : Review quiz 5 solution posted on this website. (previous page)

11/21--11/25 : THANKSGIVING BREAK!!!

Happy Thanksgiving!

Lecture 49 (11/28) : Do homework problems given in class.
p319 examples 1, 2, and 3, section 6.5 #5,
p304 examples 1 and 2.
Lecture 50 (11/30) : Do homework problems given in class.
p317 example 1,
Find the general solution to y''- y = e^x.
Lecture 51 (12/1) : Review lecture notes. Do examples 3 and 4 on p.307 and p308.
Lecture 52 (12/2) : Review lecture notes. Do examples 1 and 2 on p312 and p313.

Lecture 53 (12/5) : No additional homework.
Lecture 54 (12/7) : Exam 3 Day. -- No Homework.
Lecture 55 (12/8) : Redo all quizzes and exams given this semester.
Lecture 56 (12/9) : Last Day of Class!

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**Final Exam Schedule**

1. Section 1 (MWF 8am Class):
Wednesday (12/14/2011) 8am--10am
Roop 327 (Our regular classroom on MWFs.)

2. Section 2 (MWF 10:10am Class):
Monday (12/12/2011) 8am-10am
Roop 212 (Our regular classroom on MWFs.)
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