## MATH 260 Linear Algebra Summer 2020

Rob Thompson Hunter College

Monday--Thursday 11:40am-1:45pm Room: Online

May 26-July 6, 2020

**e-mail:**
robert.thompson@hunter.cuny.edu

**Office:** http://zoom.us/my/profthompson **Hours: Generally M-Th, 2:00-3:00.**

### The final exam will be on Monday, July 6, 11:40am-1:45pm, on Zoom.

We will have a review session online on **Sunday, July 5, at 11:00am**. We will go over problems, do examples, and answer questions.

### The second exam is a take home exam. Here is the link: Exam Two.

You can use your
book, but please work on your own and don't share answers. The exam is due at 11:59pm on **Sunday, July 5.**

### The first Exam was on **Monday, June 15**.

###

### Practice Problems

** The Homework Assignments**

- Assignment One, due Wednesday 6/3:

3.1/2,12

3.3/1,5

3.4/2a,b,c,h,i,7,8

1.2/1,10,13,19

1.3/8,14,15,18

1.4/3abc,5ae,13
- Assignment Two, due Friday, 6/12:

1.5/1,2ach,7,10,20

1.6/1,2,5,9,13,17,31

1.7/3
- Assignment Three, due Monday, 6/15:

2.1/1,2,4,5,6,12,14

(Sections 2.2 and 2.3 won't be on the exam on 6/15).
- Assignment Four, due Monday, 6/22:

2.4/2,3,7,16,17

2.5/2,4,6cd,10

3.2/5degh,7,17

3.3/2bcde

4.2/5,7,11
- Assignment Five, due Wednesday, 7/1:

5.1/1,3,5,9

5.2/1,2adef,10

5.4/2,5,6

6.1/1,2

6.2/2abcd
- Assignment Six, due Monday, 7/6:

6.2/2abcdfg,7,9,11

6.3/2,8

6.4/1,2,9

- For your last assignment, read Sections 6.5 and 6.6, and do some problems
from those sections, for example:

6.6/3.

You don't have to hand in problems for 6.5 and 6.6, and Sections 6.5 and 6.6 will
**not** be on the final.
- Also, I recommend you take a look at Chapter 7.

### Basic Information About the Course:

### Please Note: All summer 2020 session courses at Hunter are online.
In this course we will hold synchronous, live, online classes, using
Zoom, during the regularly scheduled time slot for the course. The
office hours will also be online. To access my Zoom meeting space go
to http://zoom.us/my/profthompson in your browser and you will be
prompted to go to your zoom app. If you do not have a Zoom app
installed you will have to do that first. You do not necessarily need
to have an account with Zoom to install and use the app. If you go into the Zoom app directly just go to
profthompson.

### Instructions for submitting the homework:

**The homework must be in the form of PDF file**
- Go to the BlackBoard page for this class
- On the left hand side there is a menu, select "Upload HW here"
- Select the Problem Set you are submitting (e.g. Problem Set 1)
- Ignore the item that says "Point Possible"
- Select the"Browse my computer" button
- Find your PDF file which is your homework
- Upload it

### Recorded Classes

**My Office:**

My office hours for the summer term will for the most part be **M-Th 2:00-3:00 pm**. There may be a couple of days when
I have to change this, but I will announce that. You don't need to make an appointment for office hours, you can
just drop in. The Zoom address is **profthompson**.

**Text:**

Linear Algebra, Fourth Editon, Stephen H. Friedberg,
Arnold J. Insel, Lawrence E.Spence.

**Prerequisites:**

The student will need to have some
familiarity with multivariable calculus and mathematical proofs.

**Desired Learning Outcomes:**

The student will assimilate the
definitions of basic conceptsin Linear Algebra such as a Vector space,
Linear Transformation, Linear Independence, Basis,rank, dimension,
inner product, determinate, eigenvalues and eigenvectors,
diagonalization,linear operators, canonical form (this is not an
exhaustive list). The student will learn thestatements of a number of
fundamental theorems, and will study their proofs. The studentwill be
doing homework problems which will involve some computations as well
as provingvarious facts. The majority of the assessment will consist
of written exams similar to thehomework problems.

**Homework/Exams/Grades:**

There will be regularly assigned
homework, two midterm exams and one final exam. The exams will count
for 80% of your course grade (25%, 25%, and 30%), the homeworkwill count for 20%.

**Topics:**

This course is an introduction to Linear Algebra,
taught at a fairly abstract and conceptual level, with an emphasis on
definitions, theorems, and proofs. The students will be doing proofs
in the homework, as well as some computations. Here is a list of
topics wewill cover, organized by Chapter in the Book.

- Chapter One: Vector Spaces
- Chapter Two: Linear Transformations and Matrices
- Chapter Three: Matrix Operations and Systems of Linear Equations
- Chapter Four: Determinants
- Chapter Five: Diagonalization
- Chapter Six: Inner Product Spaces
- Chapter Seven: Jordan Canonical Forms