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

MTh2 (Mondays and Thursdays, 10:20-11:40am) TIL-258 (Livingston Campus)

TA at Large

Mr. Songhao Zhu Email: sz446 at math dot rutgers dot edu . Mr. Zhu's class page
Mr. Zhu's Office: HILL 622; Mr. Zhu's office hours: Tue. 1:20pm-2:40pm Wed. 9:00am-10:20am .
On-Line help [Thurs. 2-3pm]

Free Tutoring (in lieu of office hour)

Mondays 4:55-5:55pm, HILL 525 [Starting Sept. 17, 2018].

Additional Office Hour: Thursdays 1:00-2:00pm, HILL 704.

CLASS POLICY (and grading method)

Important stuff

Solutions to assigned True/False Questions [updated weekly]
Clarifying Basic Concepts (and Maple commands)
Everyone is encouraged to participate in the (optional!) Maple Contest , that requires to do all the assigned homework (when applicable), using Maple, and in addition complete this Challenging Maple assignment.

Added Dec. 12, 2018: The winner of the contest is Stephanie Zhou who won a π T-shirt. Here is her amazing .txt file.

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 home-made 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 37-56
[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 45--63
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 57--76
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 53--72
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 45--64
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 63--82
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 33--50
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 33--52
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 35--53
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 0-8
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 29--33
Here is the attendance quiz for Lecture 10 and here are the Solutions to attendance quiz for Lecture 10.
Recommended extra-curricular 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 33--41
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 45-63
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 39-58
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 43-51
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 33-50
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 41-57
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 41-48
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 0-17 with emphasis on Lectures 9-17 (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 53-72
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 29-48
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 61-80
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 41-52
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. 381-384) 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 28-30 (For 11 and 13 you don't have to find the exact value a₀,a₁,a₂, but you need to compute C^TC and then express the answer in terms of (C^TC)^-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 risk-aversness
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 Tversy-Kahneman 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: 2:00pm-5:00pm (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, 10:00-12:00am, SEC 205]

Final:

Tue., Dec. 18, 2018: 12:00noon-3:00pm [In our classroom [i.e. TIL-258]]

Here is the Final exam and here are the Solutions to the Final exam.

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