Math 250 (Introduction to Linear Algebra), Section 2, Fall 2019 (Rutgers University) [FOR EXTRA INFORMATION ONLY]

http://sites.math.rutgers.edu/~zeilberg/math250_19.html

Last Update: Nov. 7, 2019

Update Sept. 16: Due to an injury, I am no longer teaching this class. However, I will still be maintaining this page, posting the solutions to the attendance and real quizzes after they are given.

The new instructor is Dr. Cynthia Sanchez-Tapia. Professor Sanchez-Tapia plans to use my attendance and real quizzes.

Index number: 04688

Textbook

Elementary Linear Algebra, a Matrix Approach, 2e, by L.E. Spence, A. J. Insel, and A. H. Friedberg

Instructor

Dr. Cynthia Sanchez-Tapia [Email: chs77 at math dot rutgers dot edu (Added Aug. 18, 2020: no longer valid)]

Former Instructor (and maintainer of this webpage)

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

Ms. Yael Davidov [Office: Hill 620; Email: yd209 at math dot rutgers dot edu]
Ms. Davidov's office hours : Tuesdays 1-2:20pm , and Thursdays 1:40-3pm.

Free Tutoring (in lieu of office hour)

Mondays 4:55-5:55pm, HILL 525 [Starting Sept. 16, 2019]. CANCELLED (due to injury)
Additional Office Hour: Thursdays 1:00-2:00pm, HILL 704. CANCELLED (due to injury) [PLEAS USE Dr. Cynthia Sanchez-Tapia and Ms. Yael Davidov's office hours].

Dr. Cynthia Sanchez-Tapia's office hours

Wednesdays 2:00pm-4:00 pm, or by appointment (only if you have a class schedule conflict with my office hours).

CLASS POLICY (and grading method)

Important stuff

Solutions to assigned True/False Questions
Clarifying Basic Concepts (and Maple commands)

Lecture Schedule

Th 9/5: 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 9/9: Lecture 1, section 1.1 Homework (due 9/19): 1,3,5,9,17,23,25; TF 37-56
Here is the attendance quiz for Lecture 1 and here are the Solutions to attendance quiz for Lecture 1.
[Guest Lecturer : Mr. Yukun Yao ]
Th 9/12: Lecture 2, section 1.2 Homework (due 9/19): 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.
[Guest Lecturer : Mr. Yukun Yao ]
M 9/16: Lecture 3, section 1.3 Homework (due 9/26): 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.

STARTING 9/19 THIS COURSE IS TAKEN OVER BY Dr. Cynthia Sanchez-Tapia. Dr. Sanchez-Tapia will be following the syllabus below , but she has her own Sakai page that you should refer to. This page will be maintained in order to post the solutions of the attendance and real quizzes after they are given.
Th 9/19: Lecture 4, section 1.4 quiz 1 (on Lectures 1 and 2) Homework (due 9/26): 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 9/23: Lecture 5, section 1.6 Homework (due 10/3): 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 9/26: Lecture 6, section 1.7 quiz 2 (on Lectures 3 and 4) Homework (due 10/3): 1,5,13,15,21,23,25,29,33, 39, 41,51,53,57 ; TF 63
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 9/30: Lecture 7, section 2.1 Homework (due 10/10): 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.
Added Oct. 3, 2019: The outilne below no longer corresponds exactly to Dr. Sanchez-Tapia's class. Solutions to real and attendance quizzes will be posted when she tells me.
Th 10/3: Lecture 8, section 2.3 quiz 3 (on Lectures 5 and 6) Homework (due 10/10): 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 10/7: Lecture 9, section 2.4 Homework (due 10/17): 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 10/10: EXAM 1 (in classroom) on Lectures 0-8
Here is the Answer key to Exam 1 (prepared by Dr. Cynthia Sanchez-Tapia)
M 10/14: Lecture 10, section 2.5 Homework (due 10/24): 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 10/17: Lecture 11, section 2.6 quiz 4 (on Lectures 7, 8, and 9) Homework (due 10/24): 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 10/21: Lecture 12, section 3.1 Homework (due 10/31): 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 10/24: Lecture 13, section 3.2 quiz 5 (on Lectures 10 and 11) Homework (due 10/31): 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 10/28: Lecture 14, section 4.1 Homework (due 11/7): 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 10/31: Lecture 15, section 4.2 quiz 6 (on Lectures 12 and 13) Homework (due 11/7): 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 Here are the Solutions to Real quiz 6.
M 11/4: Lecture 16, section 4.3 Homework (due 11/14): 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 11/7: Lecture 17, section 5.1 quiz 7 (on Lectures 14 and 15) Homework (due 11/14): 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 11/11: Review
Here is the attendance quiz for the Review class and here are the Solutions.
Th 11/14: EXAM 2 (in classroom) on Lectures 0-17 with emphasis on Lectures 9-17 (in classroom)
Here are full Solutions to Exam 2, prepared by Dr. Cynthia Sanchez-Tapia.
M 11/18: Lecture 18, section 5.2 Homework (due 11/26): 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.
Th 11/21: Lecture 19, section 5.3 quiz 8 (on Lectures 16 and 17) Homework (due 11/26): 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 11/25: Lecture 20, section 6.1 Homework (due 12/5): 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.
TUESDAY 11/26: Lecture 21, section 6.2 quiz 9 (on Lectures 18 and 19) Homework (due 12/5): 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 12/2: Lecture 22, 6.2 (continued) (pp. 381-384) section 6.3 (only theory, no homework) Homework (due 12/5): 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 12/5: Lecture 23, section 6.4 quiz 10 (on Lectures 20, 21, and 22 [QR decomposition]) Homework (due 12/9): 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]]);
M 12/9: Lecture 24: Review
Here is the attendance quiz for Lecture 24 and here are the Solutions to attendance quiz for Lecture 24.
Friday 12/20: 11:00am-2:00pm (Optional, but strongly recommended) Marathon review, LSH/B269.

Final:

Monday., Dec. 23, 2019: 8:00-11:00am [In our classroom [i.e. TIL-258]]

Dr. Z.'s teaching