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 SanchezTapia.
Professor SanchezTapia 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 SanchezTapia
[Email: chs77 at math dot rutgers dot edu (Added Aug. 18, 2020: no longer valid)]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
TA at Large
Free Tutoring (in lieu of office hour)
Dr. Cynthia SanchezTapia's office hours
Wednesdays 2:00pm4:00 pm, or by appointment (only if you have a class schedule conflict with my office hours).
CLASS POLICY (and grading method)
Important stuff
Lecture Schedule

Th 9/5: 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 9/9: Lecture 1, section 1.1 Homework (due 9/19): 1,3,5,9,17,23,25; TF 3756
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 4563
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 5776
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 SanchezTapia.
Dr. SanchezTapia 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 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 9/23: Lecture 5, section 1.6 Homework (due 10/3): 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 9/26: 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 3350
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. SanchezTapia'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 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 10/7: Lecture 9, section 2.4 Homework (due 10/17): 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 10/10: EXAM 1 (in classroom) on Lectures 08
Here is the
Answer key to Exam 1
(prepared by Dr. Cynthia SanchezTapia)

M 10/14: Lecture 10, section 2.5 Homework (due 10/24): 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 10/17: Lecture 11, section 2.6 quiz 4 (on Lectures 7, 8, and 9) Homework (due 10/24): 1,3,5,9,11,13 ;TF 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 10/21: Lecture 12, section 3.1 Homework (due 10/31): 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 10/24: 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 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 10/28: Lecture 14, section 4.1 Homework (due 11/7): 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 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 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
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 4157
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 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 11/11: Review
Here is the attendance quiz for the Review class and here are the
Solutions.

Th 11/14: EXAM 2 (in classroom) on Lectures 017 with emphasis on Lectures 917 (in classroom)
Here are
full Solutions to Exam 2,
prepared by Dr. Cynthia SanchezTapia.

M 11/18: Lecture 18, section 5.2 Homework (due 11/26): 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.

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 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 11/25: Lecture 20, section 6.1 Homework (due 12/5): 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.

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 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 12/2:
Lecture 22, 6.2 (continued) (pp. 381384)
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 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]]);

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: 11:00am2:00pm (Optional, but strongly recommended) Marathon review, LSH/B269.
Final:

Monday., Dec. 23, 2019: 8:0011:00am [In our classroom [i.e. TIL258]]
Dr. Z.'s teaching