** Math 217: Linear Algebra Section 5**

Professor
Karen E. Smith

East Hall 3074

763-5048

Section 5 meets Winter Semester 2016

MWF 11:40 am--1 pm in East Hall B743 (in the basement)

Important Info and Detailed Syllabus.

This is the webpage for Section 5 only. There is also a MATH 217 COURSE WEBSITE used by all sections through Canvas. You will need to check both these places for info and to download information.

Math 217 is a first course in linear algebra with proofs. Here is a Detailed Syllabus, the same for all sections. In addition to learning linear algebra, a main goal of the course is to teach students how to make a rigorous mathematical argument.

Math 217 is a NON-LECTURE course. This means students are responsible for learning the material on their own through individual reading of the textbook working through more theoretical concepts in small groups using worksheets in class, working through more computational exercises using online webwork, and completing two-part written problem sets every week (due Fridays).

Most students find this a very challenging course, especially those who have never done "proofs" before. In order to succeed, it is crucial to do all reading both before class, and again after to ensure full understanding, complete webwork as soon as possible as it is assigned, start early on weekly problem sets, and ** get help from me or any other 217 instructor ** as soon as you need it.

BOOK: Linear Algebra with Applications, by Otto Bretscher (fifth edition). Rental Link from Amazon

FURTHER REQUIRED READINGS:

Definitions and Main Theorems Needed for Final.

Coordinate Change (Summary Coordinates, Changing Coordinates, and B-matrices).

Definitions/Theorems Proofs in Book Order,
(For reading section-by-section with the text. Includes correct definitions and models proofs for Chapters 1-4.)

The Joy of Sets

Mathematical Hygiene

**COURSE EXPECTATIONS:**

QUIZ every MONDAY.

Written PROBLEM SET (part A and B) due every FRIDAY (on
canvas).

Individual READING before each class, tested by
a brief online "Reading Quiz" is due by 8 am each Monday, Wednesday and Friday,

A longer online WEBWORK problem set (more computational than the written problem set) is also due weekly.

Two evening midterm exams (6-8 pm on Wed Feb 17 and 6-8 pm on Wed March 30).

Final exam.

Section 5 Daily Update summarizing classroom actitivies, assignments and quiz announcements.

CLASSWORK AND OTHER EXTRA WORKSHEETS:

Classwork from Jan 6,
Classwork from Jan 8,
Classwork from Jan 11, Two
Worksheets from January 13 on
Linear Combinations , and
Linear Transformations,
Worksheet for Friday January 15:
Linear Transformations and Geometry, Two Worksheets for
Wednesday January 20 on
The geometric meaning of the determinant and
Projections and
Reflections, for Friday Jan 22 on
Compositions of Linear Transformations,
for Monday Jan 25 on
Bijective/Injective/Surjective Linear Transformations, Two worksheets for Jan 27 on Inductive Proof Practice and (also on Friday January 29)
Vector Spaces. Worksheet on
Kernel and Image from Monday Feb 1.
Worksheet from Feb 3
on linear independence ,
Worksheet from Feb 5
on Dimension , Worksheet from Feb 8 and 10
on Coordinates ,
Worksheet from Feb 12
on Coordinates and the B-matrix , Extra Credit Worksheet
on the Rank-Nullity Theorem , More on
B-matrix from Feb 15, Worksheet on
Chapter Four Examples from Feb 19 and 22,
Worksheet from Feb 24 on
Orthonormality, Worksheet from Friday Feb 26 on
Orthonormal Projections
,
Worksheet from Monday March 7 on
QR Factorization
,
Worksheet from wednesday March 9 on
Orthogonal Transformations
, Worksheet from Friday March 11 on
Orthogonal Transformations and Matrices
and Least Squares
Worksheet from Monday March 14 on
Inner Products
which we also used Wednesday.
Worksheet on
Determinants
from Friday March 18.
Worksheet on
Understanding Determinant Geometrically
from Monday March 21.
Worksheet on
Properties of Determinants
from Wednesday March 23.
Worksheet on
Multilinearity of Determinants
from Friday March 25.
Worksheet to practice
TRUE FALSE QUESTIONS FROM 4,5,6
from Wednesday March 30. Worksheet on
Eigenvalues and eigenvectors from Friday April 1.
Worksheet on
Eigenspace and Characteristic polynomials from Monday April 4.
Worksheet on
Computing Eigenvalues from Wednesday April 6.
Worksheet on
Eigenbases and Diagonalizability from Friday April 8.
Worksheet on
Rotations in 3-Space from Monday April 11.
Worksheet on
Spectral Theorem from Wednesday April 13.
T/F Review Worksheet from Friday April 18.

QUIZZES: Quiz 1 (median 18/20), Quiz 1A Quiz 2 (median 15/20), Quiz 2A, Quiz 3 (median before rewrites 14/20), Quiz 3B, Quiz 4 (median before rewrites 16/20), Quiz 5 (with solutions: no quiz rewrites this time for this reason. Median 17/20 before extra credit), Quiz 5A Quiz 5B Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12

An extra credit Worksheet on Lines which you can turn in any time before the first exam to replace one Quiz score by up to 20 points,

Office hours: Wednesday 1-4 in 3074 East Hall. I am available also by appointment if you need me and can't make regular office hours.

In addition, you can get help in the Math Lab whenever it is open.All sections of Math 217 follow the same syllabus, take the same midterm and final exams, have the same online-webwork and weekly written assignments, and have the same grading scheme. There are, however, some minor differences between sections. In ours, for example, ATTENDENCE IS REQUIRED and Quizzes will be frequent. Also, Section 5 students are expected to check the Daily Update every day, which will usually let you know when a quiz is coming and the reading assignment. No make up quizzes will be given (barring extreme situations--talk to me); however, your lowest two scores will be dropped.

TESTING AND DISABILITY: If you think you need an accommodation for a disability, please let me know as soon as possible. In particular, a Verified Individualized Services and Accommo dations (VISA) form must be provided to me at least two weeks prior to the need for a test/quiz accommodation. The Services for Students with Disabilities (SSD) Office (G664 Haven Hall; http://ssd.umich.edu/ ) issues V ISA forms.