## Math 469  Linear Algebra

 Renzo's class MWF 3 – 3:50 pm ENGRG  E 105  // in the oval with good weather

 Office Hours Syllabus Homework Exams

TEXTBOOK:

Linear Algebra Done Right

Sheldon Axler

LaTeX CHEATSHEET:

Office hours : the official office hours for this class are following each lecture. However, you are very welcome to make an appointment and come ask questions, make comments, or just chat. You can also try showing up at my door anytime. But I might tell you to come back at another time if I am immersed into something else.

The tables of the law for this class are contained in the following document:
Syllabus

Homework:  math math is not a sport for bystanders. Getting your hands dirty  is important  to make sure that things sink in and you are not just spending a semester assisting to my creative rambling. Homework will be due pretty much every Friday (but see below for the up-to-date information). I will NOT grade all the problems I assign. If one of the problems you feel unsure about doesn’t get graded, please don’t go “Whew! Lucky one!” but rather come ask me about it. The point is you understanding, not pretending to!!

READ CAREFULLY!! In fact, here is the homework grading policy. For every assignment, you are supposed to write up all problems. However you need to identify two questions: the one that you feel have done best on (which will be graded), and the one where you feel you have done worst on (which will be looked at and commented but not graded. This is supposed to force you to self-evaluate your own understanding, and to maximize the efficiency with which I can give you the most needed feedback.

 DATE DUE: Monday Feb 3rd Read Chapter 1 in the book and bring to class any questions/comments/doubts you may have. Feb 7th 1)       Give an example of a vector space V  which is linearly isomorphic to the direct sum of two vector subspaces of itself, and give an example of  a vector space V which is linearly isomorphic to the sum  (but not the direct sum) of two vector subspaces of itself. 2)       Exercises: 1, 2, 7, 6, 8, 9 page 35 (chapter 2) Feb 14th Read Chapter 2 in the book and bring to class any questions/comments/doubts you may have.   Exercises 10, 11, 12, 15 pages 35-36 (chapter 2)   Exercises 1, 4, 5, 10, 25 pages 59-61 (chapter 3) Mar 7th Exercises 3, 4, 5, 6, 8, 9, 14, 18, 20 pages 94-96 (chapter 5) Mar 14th (Pi day!) Exercises 2, 3, 5, 6, 9, 10, 11   pages 122-123 (chapter 6) Mar 28th Exercises 12, 14, 18, 26, 29, 30, 31, 32   pages 123-125 (chapter 6) Apr 9th If you work alone: (a) write down one question about any of the material in the course you are particularly confused about.                                    (b) write down a problem which you would think suitable for an exam at this point of class. If you work in a group of n persons (which is highly encouraged): (a) write down n questions about any of the material in the course you are particularly confused about.                                    (b) write down n problems which you would think suitable for an exam at this point of class. Apr 21st Write down a scheme/summary of the important concepts in chapters 5,6,7 and their connections. Keep it under two pages. Apr 25th Exercises 4, 6, 8 (assume standard inner product in R^3), 16, 18, 21, 23, 25, 28, 29, 30. Challenge: 20. Pages 158-161. May 5th Exercises 3, 5, 6, 7, 10, 11, 14, 22, 23. Pages 188-190.

Exams:

There will be one assessment exam, two midterms and a final.

• Assessment Exam: Jan 27th
• First Midterm: Feb 21st
• Second Midterm: Apr 2nd
• Final: take home. Return via email by 11:59pm on Wednesday May 14th.