Math 313: Introduction to Linear Algebra - Fall 2016

In general, you will be graded not only on whether you get the correct answer but also on the clarity of your mathematical notation and reasoning.

Section 1.1 # 4, 6, 10, 12, 18

As a reminder, do not simply write an answer to the question - be sure to explain your reasoning.

Section 1.3 # 18, 22, 32

Section 1.4 # 12, 26, 32

Exam 1 will cover all the material discussed in class from Sections 1.1-1.5.

No calculators or references are allowed during the test.

The test will be two pages (front and back of one sheet) and will be graded using Gradescope.

You may use scratch paper but you will only be graded on what you submit on the test page.

There will be a substitute instructor during Exam 1. The schedule for class will be as follows:
   xx:00 - xx:15: Question and answer with your instructor.
   xx:15 - xx:45: Exam period.
   xx:45 - xx:50: Show your CatCard to the instructor to confirm your identity; turn in exam.

Complete the "Intro to MATLAB" assignment using the Cody Coursework web service.
Be sure to start early to make sure that you can access MATLAB either via MATLAB online or by downloading software to your computer.
Links relating to MATLAB can be found on the course homepage (click `Home' at the top of this page)

Section 1.4 # 30

Section 1.5 # 10, 18, 20, 36

Section 1.7 # 8, 10, 18, 24, 26, 32
 

The first 3 questions of HW 6 are taken from the UCSD MATLAB Assigment 2: Systems of Linear Equations.

1) From the above link (NOT from the textbook): Read Section 2.1 Introduction and Section 2.2 Systems of Linear Equations. Pay special attention to Remark 2.1. Using MATLAB, do Exercise 2.1 and turn in your answer to part c, that is, compute C*x-d as described and write down the output that MATLAB gives you. Write a sentence explaining what is happening (hint: read Remark 2.2).

2) Do Exercise 2.2 and write out your solution, following the instructions in the exercise.

3) Do Exercise 2.3 and write out your solution, following the instructions in the exercise.

Section 1.8 # 4, 8, 20

Section 1.9 # 6 (the vectors e_1 and e_2 are defined at the beginning of Section 1.9)

Exam 2 will cover all the material discussed in class from Sections 1.1-1.9, with emphasis placed on Sections 1.5-1.9.

No calculators or references are allowed during the test.

The test will be two pages (front and back of one sheet) and will be graded using Gradescope.

You may use scratch paper but you will only be graded on what you submit on the test page.

Section 2.1 # 6, 14, 28

Section 2.2 #6, 18, 22
 

Hint for Section 2.3 problems: explain how the Invertible Matrix Theorem applies, then apply it appropriately!

Section 2.3 # 8, 12, 16, 26

Section 3.1 # 6

Section 3.2 # 6. (Note: For a matrix A, the notation |A| means det(A), i.e. the determinant of A)
 

Using MATLAB, complete UCSD MATLAB Assigment 3: Matrix Algebra and Inversion.

Do all of the exercises, then write up solutions (on your own paper) as follows:

Exercise 3.1, 3.3 and 3.4: You do not need to write anything for these - just do the exercises on your own.

Exercise 3.2 a and b: Write what you compute for C and Cx - you do not need to include any additional details.

Exercise 3.5: Write out all parts a-e, based on the instructions.

Exercise 3.6: Write out your answers to parts a and b. For part b, the question "How much different ix x_30 from x_60 from x_100": you do not need to give a quantitative answer - just write out each vector and then write a sentence explaining the differences or similarities among these three vectors.

NOTE: There is an error in the description of 3.6: x0 should be
x0 = [48.56; 51.01; 0.13; 0.30]
If you already completed the assignment without noticing this note, you do not need to re-do the assignment - just make a note on your homework that you used the x0 value from the website and I will grade accordingly.
 

Exam 3 will cover all the material discussed in class so far, up to and including Section 3.2. Sections that were not covered will not be on the test. Chapter 4 will not be on the test.

No calculators or references are allowed during the test.

The test will be two pages (front and back of one sheet) and will be graded using Gradescope.

You may use scratch paper but you will only be graded on what you submit on the test page.

Section 4.1 # 6, 10, 16, 20

Section 4.2 # 4, 6

Note: the term "kernel" is defined in Section 4.2.

Section 4.2 # 8, 24, 26

Section 4.3 # 4, 14, 24

Note: For the questions from Section 4.5, it is acceptable to use results of theorems from Sections 4.5 or 4.6, but if you do so you must explain which theorems you are using and why they apply.

Section 4.4 # 4, 8

Section 4.5 # 8, 14, 26

Section 4.6 # 8, 10

Exam 4 will cover all the material discussed in class so far, up to and including Section 5.1. Sections that were not covered will not be on the test.

No calculators or references are allowed during the test.

The test will be two pages (front and back of one sheet) and will be graded using Gradescope.

You may use scratch paper but you will only be graded on what you submit on the test page.

Section 5.1 # 14, 26

Section 5.2 # 18, 20

Section 5.3 # 2, 12

Section 5.3 # 30, 36 (Use MATLAB for number 36)

Section 6.1 # 4, 14, 16

UCSD MATLAB Lab 4 Exercise 4.4 parts a-d. The assignment located at this link

Please also complete the Teacher Course Evaluation (TCE) for our course. These evaluations are anonymous and the results are not released to me until next semester after all grades are finalized. I read all student comments and use them to improve my teaching. Thanks for your honest feedback on the course!

Last homework assignment before Exam 5 and the final exam!

Section 6.2 # 16, 22, 27

Section 6.3 # 2, 16, 20

Please also complete the Teacher Course Evaluation (TCE) for our course. These evaluations are anonymous and the results are not released to me until next semester after all grades are finalized. I read all student comments and use them to improve my teaching. Thanks for your honest feedback on the course!

Exam 5 will cover all the material discussed in class so far, up to and including Section 6.3. Sections that were not covered will not be on the test.

No calculators or references are allowed during the test.

The test will be two pages (front and back of one sheet) and will be graded using Gradescope.

You may use scratch paper but you will only be graded on what you submit on the test page.

Please look at the final exam schedule to confirm the date and time of the final exam. The exam will held in the same classroom where we have class.

The final exam will cover all the material discussed in class, up to and including Section 6.4. Sections that were not covered will not be on the test.

The final exam is worth 200 points, which is the same amount of points as two and a half exams. You will have two hours to take the final exam.

No calculators or references are allowed during the test.

You may use scratch paper but you will only be graded on what you submit on the test page.

Additional information about grading policies can be found in the syllabus (link at top of this page).

To study, I recommend first making a study sheet that highlights all the key ideas from the course. The process of making the sheet will help clarify your understanding of the material. Then, go back and rework problems that you got wrong on the homework or exams, without the use of the study sheet. You can also do odd-numbered problems from the text and check your answers in the back of the book. Spread out this process over a few days to maximize the impact. You may also find it helpful to watch this video summary of key linear algebra concepts.