Math 211 Section 1: Linear Algebra.

Elizabeth Denne
Assistant Professor
Office: 312 Burton Hall
Telephone: (413) 585 3757
Email: edenne[at]smith [dot] edu


Quick links:

Essential Information:

Classes:MWF 9 - 9.50am Burton Hall 101.
Course webpage:http://www.math.smith.edu/~edenne/teach/math211.html
Office hours:1-3pm Tuesdays, 1-3pm Fridays and by appointment.
Office:312 Burton Hall
Phone:413 585 3757
E-mail: edenne[at]smith [dot] edu
Required Textbook: Linear Algebra with Applications by Otto Bretscher (third or fourth edition). On reserve in the Science library and available at the Grecourt bookstore. (Note that the second edition is very different from the later editions. Please get either the third or fourth edition.)
Course grader:Jennifer Wise
Help:There are many sources of help for the course.
  • Talk to each other.
  • Come to office hours and talk to me.
  • You may email me questions, but note that I do not necessarily have the textbook with me when answering email. I will try to answer your emails as fast as I can, but please also allow 12 hours for a response.
  • There are TA hours held in the Forum from 7-9pm each Sunday, Monday, Tuesday, Wednesday and Thursday evening. This is a great place to meet class mates and work together on the homework.
  • The Quantitative Learning Center in Nielsen Library also provides help.


Cool Stuff for you to do:
ActivityPlease let me know.


Course Summary and Syllabus:

Summary: Vector spaces, matrices, linear transformations, systems of linear equations. Applications to be selected from differential equations, foundations of physics, geometry, and other topics.

Syllabus: We'll use the textbook and will cover the material given below, aiming to cover about one section per class. The syllabus is subject to change as we may cover material faster than expected.
  • 1.1, 1.2, 1.3
  • 2.1, 2.2 2.3, 2.4
  • 3.1, 3.2, 3.3, 3.4
  • Self-scheduled midterm exam 1 Oct 14 - Oct 17
  • 4.1, 4.2, 4.3.
  • 5.1, 5.2, 5.3, 5.4
  • 6.1, 6.2.
  • 7.1, 7.2, 7.3,
  • Self-scheduled midterm exam 2 Nov 20 - Nov 24
  • 7.4, 7.5, 7.6.
  • 8.1.
  • 9.1, Non-linear dynamical systems, 9.3.

Grades, attendance and other matters:


Prerequisites: Math 112 or equivalent, or Math 111 and Math 153; Math 153 is suggested. Students may not receive credit for both Math 211 and Math 221.
Exams: 2 self-scheduled midterm exams and 1 self-scheduled final exam.
Grading Policy: Your course grade is determined as follows: homework 25%, midterms 20% each, and final exam 35%. There is a weekly homework assignment and your lowest homework score will be dropped when calculating your grade.

The class will not be graded "on a curve": if everyone deserves an A, everyone will get an A.
Attendance: Attendance will not be taken at each class. However, it is much harder to learn the material on your own, so you are strongly encouraged to attend each class. Make-up exams will only be given in special circumstances.
Drop date:The drop date for the course is Friday September 18.



Exam Information: Midterm 2

What/when:A self-scheduled 2 and a half hour midterm exam administered 9am Friday 20th November through 5pm Tuesday 24th November. It is held in the Science Library. Note that the library shuts at 5pm on Tuesday Nov 24. Please plan accordingly!
Office hours:Usual times plus 1-5pm Friday 20th November, and by appointment.
What you can use on the exam: Your brain and a pencil. Class notes, calculators, computers and textbooks are not allowed to be used. Students are reminded that they are expected to follow the Smith honor code when doing this exam.
What's covered: Everything we've done so far, with an emphasis on material from chapters 3 and 5. Sections 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 5.1, 5.2 (Gram-Schmidt only).
What it's like: The exam will have about 7 questions, many with parts. It will be similar to Midterm 1. The questions will be at the same level as the homework. One of them will of course be True/False questions. Others will ask you about why things are true, or ask for a calculation that requires understanding what the material is about. There will short answer questions as well.
Review questions: Go over all your HW assignments.
Practice problems (with brief solutions) for midterm 2 click here. (Note: you can't yet do q 3d, or q 5.)
More practice problems (with brief solutions) for midterm 2 click here (Note: you can't yet do q 2c.).
Click here for a practice exam I didn't give you for the first midterm.
Note that there were some review problems from midterm 1 that you coulldn't do at the time. Take another look here and here.


Handouts:

Date What it's about Where to find it
Oct 26Solutions to Midterm 1 Click here.
Oct 19Something fun - The Declaration of Linear Independence. Click here.
Oct 8Proof of the criterion for invertibility. Click here.
Sep 16Wolfram Alpha. Click here.
Sep 8The third edition of the text has true/false questions for practice online. Click here to find them.
Aug 21 COW: Calculus on the web. The linear algebra text has many great practice problems for you to try. Click here
Aug 21 Online Row Reducer Click here
Aug 21 Tips for QLC tutoring sessions Click here
Sept 27 Section 2.3 Matrix Products (4th edition of text) Click here (730Kb pdf file)
Sept 27 Section 2.4 Matrix Inverse (4th edition of the text) Click here (1.4Mb pdf file)


Homework Assignments:

Assignment Date due Feedback
Homework 1, click here. Wed Sep 16 Click here
Homework 2, click here. Mon Sep 21 Click here for T/F solutions
Homework 3, click here. Fri Sep 25 Click here for T/F solutions
Click here for the other solutions
Homework 4, click here. Fri Oct 2 Click here for T/F solutions
Click here for the other solutions
Homework 5, click here. Fri Oct 9 Click here for T/F solutions
Click here for the other solutions
Homework 6, click here. Mon Oct 19 Click here for solutions
Homework 7, click here. Fri Oct 23 Click here for solutions
Homework 8, click here. Fri Oct 30 Click here for solutions
Homework 9, click here. Fri Nov 6 Click here for solutions
Homework 10, click here. Fri Nov 13 Click here for solutions
Homework 11, click here. Fri Nov 20 Click here for solutions


Homework Policy:

Homework: The homework assigned is the heart of the course. I expect you to read the textbook for each section we cover in class. Homework questions ask both basic and more challenging questions. Many questions are designed to make you think more deeply about the material and develop it further than we can cover in class.
Submitting HW:Homework should be turned in to me (or left in my office door mailbox) by 4pm each Friday. (You may also submit electronic versions of your HW assignments. These should be in .pdf format.)
Late HW:Late homework will be accepted only in exceptional circumstances and only with prior approval.
HW grade:Your lowest homework score will be dropped at the end of the semester.
Working together:You are strongly encouraged to discuss the homework problems with your fellow students and with me. However remember that all students are expected to follow the Smith honor code. You must write up your homework solutions by yourself.
In particular copying (a) the solution manual or (b) someone else's homework is unacceptable.
Keep your graders happy:To make the job of grading easier, please follow the following guidelines:
  • Write your name on your homework.
  • Neat, legible handwriting. We will not grade anything we cannot read!
  • Spread out your solutions so that we have room to make comments, use an extra piece of paper if needed.
  • The problems should be in the order assigned.
  • Staple all pages together. There is a stapler in the Forum. (If it runs out of staples, ask the admin staff on the first floor of Burton for more.)