Math 250 (Introduction to Linear Algebra), Section 2, Fall 2018 (Rutgers University)
http://sites.math.rutgers.edu/~zeilberg/math250_18.html
Last Update: Jan. 4, 2018
Index number: 04688
Textbook
Elementary Linear Algebra, a Matrix Approach, 2e, by L.E. Spence, A. J. Insel, and A. H. Friedberg
Instructor
Dr. Doron ZEILBERGER ("Dr. Z")
[Email: DrZlinear at gmail dot com ]
Times and Place
TA at Large
Free Tutoring (in lieu of office hour)

Mondays 4:555:55pm, HILL 525 [Starting Sept. 17, 2018].
Additional Office Hour: Thursdays 1:002:00pm, HILL 704.
CLASS POLICY (and grading method)
Important stuff
Second Chance Club
You are welcome to join the
Second Chance Club
Lecture Schedule

Th 9/6: Lecture 0: What is Linear Algebra good for? [Homework: read the wikipedia article on
Linear Algebra ]
Dr. Z.'s homemade Maple code to solve any system of linear equations WITHOUT using matrices: Sol.txt
Here is the attendance quiz for Lecture 0 and here are the
Solutions to attendance quiz for Lecture 0.

M 9/10: Lecture 1, section 1.1 Homework (due 9/20): 1,3,5,9,17,23,25; TF 3756
[Guest Lecturer: Mr. Yukun Yao]
Here is the attendance quiz for Lecture 1 and here are the
Solutions to attendance quiz for Lecture 1.

Th 9/13: Lecture 2, section 1.2 Homework (due 9/20): 1,3,9,15,17,19,29,31,35,37,39; TF 4563
Here is the attendance quiz for Lecture 2 and here are the
Solutions to attendance quiz for Lecture 2.

M 9/17: Lecture 3, section 1.3 Homework (due 9/27): 1,3,7,9,11,23,25,39,41,43,45,47,49,51,53,55; TF 5776
Here is the attendance quiz for Lecture 3 and here are the
Solutions to attendance quiz for Lecture 3.

Th 9/20: Lecture 4, section 1.4 quiz 1 (on Lectures 1 and 2) Homework (due 9/27): 1,3,5,7,11,13,17,19,23,27,35,37,53; TF 5372
Here is the attendance quiz for Lecture 4 and here are the
Solutions to attendance quiz for Lecture 4.
Here is the Real quiz 1 and here are the
Solutions to Real quiz 1.

M 9/24: Lecture 5, section 1.6 Homework (due 10/4): 1,3,17,19,21,23,25,27,29,31, 33, 39, 43 ; TF 4564
Here is the attendance quiz for Lecture 5 and here are the
Solutions to attendance quiz for Lecture 5.

Th 9/27: Lecture 6, section 1.7 quiz 2 (on Lectures 3 and 4) Homework (due 10/4): 1,5,13,15,21,23,25,29,33, 39, 41,51,53,57 ; TF 6382
Here is the attendance quiz for Lecture 6 and here are the
Solutions to attendance quiz for Lecture 6.
Here is the Real quiz 2 and here are the
Solutions to Real quiz 2.

M 10/1: Lecture 7, section 2.1 Homework (due 10/11): 5,7,9,11,13,15,17,19,23,25,27,29,31 ; TF 3350
Here is the attendance quiz for Lecture 7 and here are the
Solutions to attendance quiz for Lecture 7.

Th 10/4: Lecture 8, section 2.3 quiz 3 (on Lectures 5 and 6) Homework (due 10/11): 1,3,9,11,13,17,19,23,25,29,31 ;TF 3352
Here is the attendance quiz for Lecture 8 and here are the
Solutions to attendance quiz for Lecture 8.
Here is the Real quiz 3 and here are the
Solutions to Real quiz 3.

M 10/8: Lecture 9, section 2.4 Homework (due 10/18): 1,3,7,9,19,27,29 ;TF 3553
Here is the attendance quiz for Lecture 9 and here are the
Solutions to attendance quiz for Lecture 9.

Th 10/11: EXAM 1 (in classroom) on Lectures 08
Here is Exam 1 and here are the
Solutions to Exam 1.

M 10/15: Lecture 10, section 2.5 Homework (due 10/25): 1,3,5,7,9,11,13,19,23 ;TF 2933
Here is the attendance quiz for Lecture 10 and here are the
Solutions to attendance quiz for Lecture 10.
Recommended extracurricular reading: Strassen's matrix multiplication algorithm
(an amazing application of "block multiplication")

Th 10/18: Lecture 11, section 2.6 quiz 4 (on Lectures 7, 8, and 9) Homework (due 10/25): 1,3,5,9,11,13 ;TF 3341
Here is the attendance quiz for Lecture 11 and here are the
Solutions to attendance quiz for Lecture 11.
Here is the Real quiz 4 and here are the
Solutions to Real quiz 4.

M 10/22: Lecture 12, section 3.1 Homework (due 11/1): 1,3,9,11,13,15,21,23,27,29,31,37 ;TF 4563
Here is the attendance quiz for Lecture 12 and here are the
Solutions to attendance quiz for Lecture 12.

Th 10/25: Lecture 13, section 3.2 quiz 5 (on Lectures 10 and 11) Homework (due 11/1): 5,7,11,13,17,21,27,33 ;TF 3958
Here is the attendance quiz for Lecture 13 and here are the
Solutions to attendance quiz for Lecture 13.
Here is the Real quiz 5 and here are the
Solutions to Real quiz 5.

M 10/29: Lecture 14, section 4.1 Homework (due 11/8): 1,3,5,9,11,13,19,21,27,29,33 ;TF 4351
Here is the attendance quiz for Lecture 14 and here are the
Solutions to attendance quiz for Lecture 14.

Th 11/1: Lecture 15, section 4.2 quiz 6 (on Lectures 12 and 13) Homework (due 11/8): 1,3,5,7,17,19,21,25,27 ;TF 3350
Here is the attendance quiz for Lecture 15 and here are the
Solutions to attendance quiz for Lecture 15.
Here is the Real quiz 6 and here are the
Solutions to Real quiz 6.

M 11/5: Lecture 16, section 4.3 Homework (due 11/15): 1,3,5,7,9,11,15,17,19,25,27 ;TF 4157
Here is the attendance quiz for Lecture 16 and here are the
Solutions to attendance quiz for Lecture 16.

Th 11/8: Lecture 17, section 5.1 quiz 7 (on Lectures 14 and 15) Homework (due 11/15): 1,3,7,9,13,17,23 ;TF 4148
Here is the attendance quiz for Lecture 17 and here are the
Solutions to attendance quiz for Lecture 17.
Here is the Real quiz 7 and here are the
Solutions to Real quiz 7.

M 11/12: Review
Here is the attendance quiz for the Review class and here are the
Solutions.

Th 11/15: EXAM 2 (in classroom) on Lectures 017 with emphasis on Lectures 917 (in classroom)
Here is Exam 2 and here are the
full Solutions to Exam 2.

M 11/19: Lecture 18, section 5.2 Homework (due 11/29): 1,5,9,11,13,15,17,19,21,23 ;TF 5372
Here is the attendance quiz for Lecture 18 and here are the
Solutions to attendance quiz for Lecture 18.

Tuesday 11/20: Lecture 19, section 5.3 quiz 8 (on Lectures 16 and 17) Homework (due 11/29): 1,3,5,7,11,15,17,19 ;TF 2948
Here is the attendance quiz for Lecture 19 and here are the
Solutions to attendance quiz for Lecture 19.
Here is the Real quiz 8 and here are the
Solutions to Real quiz 8.

M 11/26: Lecture 20, section 6.1 Homework (due 12/6): 3,5,7,9,11,13,15,17,25,29,33, 49, 51 ;TF 6180
Here is the attendance quiz for Lecture 20 and here are the
Solutions to attendance quiz for Lecture 20.

Th 11/29: Lecture 21, section 6.2 quiz 9 (on Lectures 18 and 19) Homework (due 12/6): 1,3, 7,9,11,13,17,19,21 ;TF 4152
Here is the attendance quiz for Lecture 21 and here are the
Solutions to attendance quiz for Lecture 21.
Here is the Real quiz 9 and here are the
Solutions to Real quiz 9.

M 12/3: (updated Nov. 29, 2018)
Lecture 22, 6.2 (continued) (pp. 381384)
section 6.3 (only theory, no homework) Homework (due 12/6 note new due date): Section 6.2: 25,27,29.
Here is the attendance quiz for Lecture 22 and here are the
Solutions to attendance quiz for Lecture 22.
Here is the same problem again
(slightly abbreviated form), and
Here is A good example of a QR decomposition problem .

Th 12/6: Lecture 23, section 6.4 quiz 10 (on Lectures 20, 21, and 22 [QR decomposition])
Homework (due 12/10): 1,3,5,7,11,13 ;TF 2830 (For 11 and 13 you don't have to find the exact value a_{0},a_{1},a_{2},
but you need to compute C^{T}C and then express the answer in terms of (C^{T}C)^{1})
Here is the attendance quiz for Lecture 23 and here are the
Solutions to attendance quiz for Lecture 23.
Here is the Real quiz 10 and here are the
Solutions to Real quiz 10.
Maple Code for Least Squares:LS.txt :
copy and paste this code into a Maple session, and once you have a list of points, for example , ex. 2 of section 6.4 of the book (p.409),
type:
LS([[1,30],[2,27],[4,21],[7,14]],x);
to get a scatter plot and the best line, type:
PLS([[1,30],[2,27],[4,21],[7,14]]);
Here are two examples:
Scatter plot and best line for Exam 1 vs. Exam 2 scores
Scatter plot for the Tversky Kahneman riskaversness
Here
is a nice example from an evolutionary biology book, "The mismeasure of Man", by Stephen Jay Gould.
On the left is the data for the TversyKahneman curve.

M 12/10: Lecture 24: Review
Here is the attendance quiz for Lecture 24 and here are the
Solutions to attendance quiz for Lecture 24.

Th 12/13: 2:00pm5:00pm (Optional, but strongly recommended) Marathon review, (the usual classroom).
[mandatory for SCC members (attendance will be taken)]
[Extra review: In addition (not instead) of Dr. Z.'s review session, everyone is welcome to
Mr. Songhao Zhu's
review session eariler on Dec. 13, 2018, 10:0012:00am, SEC 205]
Final:
Added Dec. 20, 2018: Congratulations to the top scorers on the final exam that ≥ 188 points (out of 200)

Sijie Ding: 196

Abigail Roberts: 196

Stephanie Zhou: 196

Jiafeng Li: 195

Zhixian Hu: 193

Suyang Zhang: 192

Ivan Garcia: 191

Andrea ("Andi") Cho: 190

Noah Green: 189

Yulin Li: 189

Yifan Zhang: 189

Josephine Hong: 188
Peer tutors: Thanks to Benjamin Berkowitz and Yifan Zhang for tutoring students who did not do well in Exam 1 and Exam 2.
The tutored students did much better on the Final exam than in the midterm exams.
Added Jan. 4, 2019: Here are the student's
evaluations .
Dr. Z.'s teaching