Math 217  Winter  2008


Winter goes away. Summer is coming!

Have a great Spring and Summer!
News:





World Heritage: Huang-Shan(Yellow Mountain), China.
This pine is the world famous greeting pine of Huang-Shan.

Instructor: Dr. Zheng

Textbook: Linear Algrbra and its applications, Third Edition, by David C Lay

Section: 002( 11AM-12PM, at Denn 213)

class progress:

Week
Mon
 Tues
 Wed
 Fri
0 (Jan 4)


1.1
1 (Jan 7-11) 1.1
 1.2 1.2
 1.3
2 (Jan 14-18) 1.4 ( Quiz 1 ) 1.4/1.5
 1.5
1.7 (HW 1)
3 (Jan 21-25) Martin Luther King 1.7/1.8
 1.8 (Quiz 2)
 1.9
4 (Jan 28- Feb 1) 1.9/Review of Ch 1 2.1 ( by Dr. Chen, No office hours, Sorry!)
 2.2(HW2)( by Dr. Chen) 2.2
5 (Feb 4-8) 2.2/2.3
 2.3
 3.1/3.2 ( by Dr. Chen)
  3.2(HW3)
6 (Feb 11-15) 3.2(quiz 3)

 review
 3.3 Mid I(Chapter 1, 2)
EastHall Basement 844, 6-7PM
 		 3.3
7 (Feb 18-22) 3.3(quiz 4)  4.1 4.1/4.2(HW4) 4.2
8 (Feb 25-29) Vacation Vacation Vacation Vacation
9 (Mar 3-7) 4.2(quiz 5)
 4.3
 4.3 (by Dr. Chen)
 4.4(HW5)
10 (Mar 10-14) 4.4/4.5
 4.6(no office hours)
 5.1 ( by Dr. Chen)(office hours 4-6pm)
 5.2(HW6)
11 (Mar 17-21) 5.3
5.3
5.4
 5.4/review(HW7)
12 (Mar 24-28 ) review
Midterm II (up to 5.4)

 5.5
 5.7
 6.1/6.2(HW8)
13( Mar 31-Apr 4) 6.2
 6.3 (quiz 6)
 6.4
 6.4/6.5(HW9)
14( Apr 7-11) 6.5/6.7
 6.7 (quiz 7)
 7.1
 7.1 (HW10)
15(Apr 14-15) review 217
 review 217 (office hour: 1-3pm)
Office hour: 1-3PM
Apr 22
Final Exam
Apr 22 1:30-3:30 PM
at Dennison 296



Hints to this course: 
(1) Calculation is not a main target in our class, but you have to know how to do them and do it correctly.
(2) The main challenges are to understand the concepts and build connections between them (that is, proofs).
(3) Attend class! Ask if you don't understand !
(4) In class you may only understand 30% or less, so you need to review the notes and re-do the questions that were shown on board. Also read the textbook to check if the instructor has done a good or a bad work.  Afterwards do your homework. Make sure you really understand
the problems by checking with solutions if possible. Many times you may think you have understood them, but perhaps that is not the case.
(5) If there is uncertainty in your mind, you are welcome to my office hours. Even if you have nothing to ask, you are also welcome to show up in
my office hours. If you can not come at that time, please re-schedule with me.

Extra materials: here are some transparencies in PDF form from some professor. These transparencies are very clear and easy to follow.
Unfortunately we only have up to section 2.3, and sec 2.2 is missing.
 Section 1.1, 1.2 and 1.3
 Section 1.4,    Section 1.5,    Section 1.7,    Section 1.8,    Section 1.9,    Section 2.1,    Section 2.3.


HOMEWORK: Only hand-in problems are to be submitted and graded. Warm-up problems are for your own practice.
Some quiz and exam problems will be taken from either warm-up or hand-in problems. So you DO need to work on both of them.

  Solution to Homework 1 ( Solution to section 1.4 No. 24 (d): should be TRUE.)
  Solution to Homework 2
  Solution to Homework 3 sec 2.1: (16) a: should be 'false'
  Solution to Homework 4
  Solution to Homework 5
  Solution to Homework 6
  Solution to Homework 7
  Solution to Homework 8
  Solution to Homework 9
  Solution to Homework 10
Note: the number of pages may differ for different prints of the textbook. But make sure yours is Third Edition.
HW 1: due on Jan 18 Friday in class.

section
 page
 Warm-up qeustions
 hand-in quesions
1.1
 11
 5,  7, 8, 17, 21, 27, 33, 34 10, 24, 28
1.2
 25
 1, 3, 5, 9, 15, 16, 23, 25, 27-31 4, 24, 28, 30
1.3
 37
 1-5, 9,10,12,15,18,17, 21, 22, 25, 27, 28,32 6, 24, 26, 32
1.4
 47
 1-12, 15, 19, 20-22, 25, 26, 31-32, 35 13, 24, 34, 36

HW 2: due on Jan 30 Wed. in class.

section
 page
 Warm-up qeustions
 hand-in quesions
1.5
 55
 1, 3, 7, 13, 19, 21, 26, 27, 35
 4, 8, 14, 22, 36
1.7
 71
 5, 7, 9, 15, 17, 23, 31
 8, 10, 16, 24, 28, 32
1.8
 79
 7, 8, 13, 14, 15, 16, 17, 27, 29
 20, 24, 25, 26, 32, 34
1.9
 90
 1, 2, 3, 5, 11, 15, 25
 6, 16, 18, 26, 29, 30, 34

HW 3: due on Feb. 8 Friday in class.

section
 page
 Warm-up qeustions
 hand-in quesions
2.1
 117
 5,7,9,11,15,19,23,31
 12,16,22,24
2.2
 126
 1,9,13,19,21,22,23,31
 3,9,24,25
2.3
 132
 3,11,13,15,19,25,29,31,39
 5,12,28,38

HW 4: due on Feb 20, Wed. in class.

section
 page
 Warm-up qeustions
 hand-in quesions
3.1
 190
 1,9-10,15-16,21,29-30
 11,35,38
3.2
 199
 7,15-18,25,27,35,39
 6,19,28,33
3.3
 209
 1,7,11,18,27,31
 2,12,24,25

HW 5: due on Mar. 7th, Fri. in class.

section
 page
 Warm-up qeustions
 hand-in quesions
4.1
 223
 1,3,5,6,7,13,15,21,23, 31
 2, 8,14,18,24
4.2
 234
 1,5,9,15,23,25,28,34
 6,10,24,26,30,31
4.3
 243
 5,10,13,15,21,24,26,29,30,31 14,16,22,32

HW 6: due on Mar. 14th, Fri. in class.

section
 page
 Warm-up qeustions
 hand-in quesions
4.4
 253
 1,5,13,15, 23, 24, 25, 27
 6, 14, 16, 32
4.5
 260
 5,7,15, 19, 25, 27, 28, 29
 6, 14, 16, 26, 30
4.6
 269
 1, 2-5, 16, 27, 28, 32
 2, 8, 18, 22, 30


HW 7: due on Mar. 21, Fri. in class.

section
 page
 Warm-up qeustions
 hand-in quesions
5.1
 308
 1, 3, 5,19, 29
8, 12, 14, 16, 20, 22, 24
5.2
 317
 3,9,15
 6, 12 ,16,24     
5.3
 325
 1,5,7,25
2,6,8, 12, 32

HW8: due on Mar. 28, Fri. in class

section
 page
 Warm-up qeustions
 hand-in quesions
5.4
 333
 1, 3, 5, 9, 13, 17, 19, 21, 24, 25, 27, 29
 6, 10, 12, 20, 28
5.5
 341
 1, 3, 5, 7, 13, 15, 23, 25, 26
 4, 10, 16, 24
5 Review
 370
 3,9
 2, 8
HW 8 also includes this SuperProblem as extra credits,  so don't forget it:
Suppose a linear transformation T: P3 -> P3 (polynomials up to degree 3) given by T(p(x)) = (x^2+2) p''(x) - 2xp'(x) + 2 p(x).
Use the standard basis B={1, x, x^2, x^3} for P3.
Then
(a) Find B-matrix A of T,
(b) Find a basis for nul A,
(c) Find a basis for KerT,
(d) Find a basis for col(A),
(e) Find a basis for Range(T).

HW 9: due on Apr. 4, Fri. in class.

section
 page
 Warm-up qeustions
 hand-in quesions
6.1
 382
 1-3, 9, 15, 19, 26, 31
 6, 20, 24, 28
6.2
 392
 1, 3, 5, 14, 15, 23, 27, 29
 2, 12, 16, 24, 28
6.3
 400
 1, 2, 3, 5, 11, 17, 21, 24
 12, 18, 22

HW 10, due on Apr. 11, Friday in class

section
 page
 Warm-up qeustions
 hand-in quesions
6.4
 407
 1-3, 9, 17, 19
 10, 18, 20, 22
6.5
 417
 1,2, 5, 6, 17, 23, 22 4, 8, 19, 20
6.7
 435
 1-3, 7, 10, 13, 15-16
 4, 6, 10, 14
7.1
 454
 1-3, 13
 14




Grading policy:
Components
 Details
 weights
homework
 10 times, but 2 lowest scores will be dropped
 20%
quiz
 about 7 or 8 popup quizzes
 10%
midterm I
 cover chapter 1 and 2
 15%
midterm II
 cover chapter 3,4, and 5(up to 5.4)
 20%
final exam
 cover whole class, but concentrated on new material
 35%

Tentative Letter Grade: solid lines + curving
grade
 total score
A+
 top 1 or 2 students
A
 91
A-
 90
B+
 85
B
 80
B-
 75
C+
 70
C
 60
C-
 <60



Old tests for Midterm I:
 Fall 2005 exam with answers 
Winter 2007 exam without solutions
Winter 2007 exam with solutions

Old tests for midterm II:
 Winter 2007 problems
 Winter 2007 solutions
 Fall 2004 problems
 Fall 2004 solutions

Old test for final:
 Fall 2004 final exam problems
Fall 2004 final exam solutions (good version)




Huang-Shan Clouds