HOMEWORK: MATH 212
Homework I Due: Wednesday, 30 August
Briefly describe (in one or two paragraphs) information about yourself that
will help me get to know you. If you wish, you may let the following
questions serve as a guide: why are you taking Math 212? (for example: "major
requirement", "just for fun because I love mathematics",
"nothing else fits my schedule", "I am looking for an easy A to
raise my gpa"), what is your major?, are you
a first-year student, sophomore, etc? what is your career goal?, what has been
the nature of your previous experience with math either in high school or in
college (that is, have you enjoyed math in the past? Do you like to see
applications more than theory, or do you prefer theory?). Have you used Maple in the past?
(You may submit this in class on Wednesday or
email your response to me.)
Homework II Due: Friday, 1 September
Recommended problems: pg. 9 / problems 5, 10, 17; pg. 15 / problems 5, 6, 17
Problem to be submitted: pg. 9 / problem 4
Remarks: In general, each solution should be on its own page. State the problem at the top of the page. Refine your solution until you feel that it is logical, coherent, and complete. (This may require several versions before you are satisfied with the outcome.) In addition to correctness, neatness and clarity will be significant criteria in determining your homework grade.
Homework III Due: Wednesday, 6 September
Recommended problems: pg. 26 / problems 1, 5, 6, 7, 17, 34
Problem to be submitted: pg. 26 / problem 13
Homework IV Due: Friday, 8 September
Recommended problems: pg. 27 / problems 10, 24, 30
Problem to be submitted: pg. 36 / problem 29
Homework V Due: Monday, 11 September
Recommended problems: pg. 40 / problems 5, 6, 7
Problem to be submitted: pg. 40 / problem 4
Watch video 1 of Strang’s lectures: http://web.mit.edu/18.06/www/Video/video-fall-99-new.html
Homework VI Due: Wednesday, 13 September
Recommended problems: pg. 40 / problems 9, 11, 15
Problem to be submitted: pg. 40 / problem 5
Watch video 2 of Strang’s lectures: http://web.mit.edu/18.06/www/Video/video-fall-99-new.html
Homework VII Due: Friday, 15 September
Reminder:
This Friday we will meet in the computer lab, DH 342.
Recommended problems: pg. 55 / problems 35, 36, 37, 39, 40, 43
Problem to be submitted: pg. 55 / problem 38
Watch video 3 of Strang’s lectures: http://web.mit.edu/18.06/www/Video/video-fall-99-new.html
Homework VIII Due: Monday, 18 September
Begin
preparing for Test I. Review Practice
Test I.
Recommended problems: pg. 66 / problems 14, 15, 16, 27
Problem to be submitted: pg. 66 / problem 18
Homework IX Due: Wednesday, 20 September
Continue
to review Practice Test I.
Recommended problems: pg. 57 / problems 53, 57, 58a, 65, 66
Problem to be submitted: pg. 57 / problem 56 (Assume that the two matrices are n×n. For each of the four parts either provide a counterexample or give a proof.)
Watch video 4 of Strang’s lectures. (No homework will be assigned for Friday, the day of Test I.)
For
Monday, carefully read section 2.1 of Strang.
Homework X Due: Wednesday, 27 September
Recommended problems: pg. 73 / problems 1, 2, 4, 5
Problem to be submitted: pg. 74 / problem 7
Homework XI Due: Friday, 29 September
Recommended problems: pg. 75 / problems 9, 10
Problem to be submitted: pg. 75 / problem 11
Homework XII Due: Monday, 2 October
Recommended problems: pg. 75 / problems 14, 15, 16, 17, 18
Problem to be submitted: pg. 85 / problem 7
Homework XIII Due: Wednesday, 4 October
Recommended problems: pg. 76 / problems 21, 29
Problem to be submitted: pg. 76 / problem 28
Homework XIV Due: Friday, 6 October
Recommended problems: pg. 85 / problems 2, 3, 4, 5
Problem to be submitted: pg. 88 / problem 33
Homework XV Due: Wednesday, 11 October
Recommended problems: pg. 98 / problems 1, 3, 7
Problem to be submitted: pg. 99
/ problem 16
Homework XVI Due: Friday,
13 October
Recommended problems: pg. 100 / problems 19-22
Problem to be submitted: pg.
101 / problem 30
Study for Test II (on Monday)!
Homework XVII Due: Friday,
20 October
Carefully read section 2.4.
Recommended problems: pg. 110 / problems 2, 4, 7
Problem to be submitted: pg. 110 / problem 3
Homework XVIII Due: Monday,
23 October
Begin reading section 2.6.
Recommended problems: pg. 134 / problems 14, 18, 19, 21, 24
Problem to be submitted: pg.
134 / problem 25
Homework XIX Due: Wednesday,
25 October
Continue reading section 2.6.
Recommended problems: pg. 134 / problems 22, 27, 45, 49
Problem to be submitted: pg. 135 / problem 30
Homework XX Due: Friday,
27 October
Review section 2.6.
Recommended problems: pg. 135 / problems 29, 34
Problem to be submitted: pg. 135 / problem 28 (Here “range” means “image.”)
Begin reading Practice Test III.
Reminder: Math Club SUDOKU
contest on Thursday at 5 pm in McCormick Lounge of Coffee Hall. Pizza, beverages, etc.
Homework XXI Due: Monday,
30 October
Problem to be submitted: Let A = the standard ordered basis {e1, e2, e3, e4} of R4 and let B = {(1,1,0,0), (0,0,1,1), (1,0,0,4), (0,0,0,2)}.
(a) Verify that B is a basis of R4.
(b) Find the matrix P that transforms A coordinates to B coordinates.
(c) Find the matrix Q that transforms B coordinates to A coordinates.
(d) Verify that PQ = QP = I
Continue working on Practice Tests III –A and III-B.
Homework XXII Due: Wednesday,
1 November
Problem to be submitted:
(A) Let L: R3®R2 be defined by L(x,y,z) = (3x-y+z, 7x+2y-3z). Let A = {(1,0,-1), (0,1,3), (0,1,-1)} be a basis of R3 and let B = {(2,1), (5,3)} be a basis of R2. Find the matrix that represents L with respect to the bases A and B.
(B) Let T: R2®R3 be defined by T(x,y) = (x-2y, 3x+y, -7x+y).
(1) Find the matrix associated with T with respect to the standard bases for R2 and R3.
(2) Let A = {(2,1), (1,7)} and B = {(-3, 1, -6), (1, 0, 1), (5, 2, -2)}. Find the matrix that represents T with respect to the bases A and B.
Homework XXIII Due: Friday,
3 November
Begin reading section 1 of Chapter
3.
Recommended problems: pg. 148 / problems 1, 5, 6, 7
Problem to be submitted: pg. 148 / problem 2
Homework XXIV Due: Friday,
10 November
Read sections 1 and 2 of Chapter
4.
Recommended problems: pg. 206 / problems 4, 5, 13, 14, 18
Problem to be submitted: pg. 208 / problem 12
Homework XXV Due: Monday,
13 November
Read section 3 of Chapter 4. Begin reading sections 1 and 2 of Chapter 5.
Recommended problems: pg. 240 / problems 1, 3, 5, 6, 7
Problem to be submitted: pg. 244 / problem 36
Homework XXVI Due: Wednesday,
15 November
Study section 2 of Chapter 5.
Recommended problems: pg. 250 / problems 1, 2, 4
Problem to be submitted: pg. 250 / problem 3 (one diagonalizing
matrix is sufficient)
Homework XXVII Due: Friday,
17 November
Review section 2 of Chapter 5. Also, begin working on the two
practice tests.
Recommended problems: pg. 250 / problems 5, 6, 11
Problem to be submitted: pg. 250 / problem 7
Homework XXVIII Due: Monday,
27 November
Continue working on the two practice
tests.
Recommended problems: pg. 251 / problems 15, 16, 17, 19
Problem to be submitted: pg. 253 / problem 41
Homework XXIX Due: Wednesday,
6 December
Review practice
Final I.
Read pages 280-283 of section 5.5.
Recommended problems: pg. 289 / problems 2, 3, 4
Problem to be submitted: pg. 288 / problem 1
It's got to be the going, not the
getting there that's good. – Harry Chapin,
GO GREYHOUND
To travel hopefully is a better thing
than to arrive. – Robert
Louis Stevenson
Edvard
Munch: The Scream (1893)
Never
work when hungry.
- Hippocrates
Where
our work is, there let our joy be.
- Tertullian
Let us
work without protest; it is the only way to make life endurable.
- Voltaire
Work!
God will it. That, it seems to me, is clear.
- Flaubert
