67 MODERN LINEAR ALGEBRA


Logistics: Section A01, Section A02
Text: Free Online Textbook
Piazza: Piazza is an online forum for class discussions. You can find it at
https://piazza.com/ucdavis/fall2012/mat67/home
Class materials will also be posted there.
Computer Accounts: You should create a computer account allowing you to use MATLAB at
http://www.math.ucdavis.edu/comp/class-accts and watch this introductory video
Old Material: Solutions, handouts, selected lecture notes from previous versions of the class
Syllabus: Linear Systems
Vector Spaces
Span and Bases
Linear Maps
Eigenvalues and Eigenvectors
Determinants
Inner Product Spaces
Change of Bases
The Spectral Theorem
Prerequisite: You do not need MAT22A or MAT108 to take this class but you must feel ready to handle abstract and rigorous mathematics.
You are strongly encouraged to concurrently enrol in the computer lab MAT-098/67L-001 CRN 29165
Quizzes: Quiz 1: Complex Numbers, 10/9
Quiz 2: Span and Bases, 10/23
Quiz 3: Inverses, 11/6
Quiz 4: Eigenvalues and Eigenvectors, 11/20
Quiz 5: Inner Product Spaces, 12/4
Problem Sets: These come in two types--team and individual (submit them in your discussion section):

Team assignments (work in groups of up to 3 students)
Fields (due 10/9)
Calculational Exercises: Chapter 2, q2,3,4,5,6,7 (due 10/9)
Gaussian Elimination (due 10/16)
Calculational Exercises: Chapter 1, q2,3 (due 10/16)
Coordinate Vectors (due 10/23)
Matrices (due 10/30)
MATLAB Linear Systems (due 11/6 -- work in teams, submit individually at smartsite assignments, see smartsite for more info)
Change of Basis (due 11/13)
The Fibonacci Numbers (due 11/20)
MATLAB Eigenvalues (due 12/7)

Individual assignments
Chapter 4 Calculational Exercises q1,2,3,4,5 & Proof-Writing Exercises q1,2,3,4 (due 10/9)
Chapter 5 Calculational Exercises q1,2,4 & Proof-Writing Exercises q1,2,3 (due 10/16)
Chapter 5 Calculational Exercises q3,5 & Proof-Writing Exercises q4,7,8; Chapter 6 Proof-Writing Exercise q1 (due 10/23)
Chapter 6 Calculational Exercises q1,2,3,4,5,6,7 & Proof-Writing Exercises q2,3,4,5,6 (due 10/30)
Morphisms worksheet; Chapter 6 Proof-Writing Exercise q8; Chapter 7 Calculational Exercises q1; Proof-Writing Exercises q1,2,3,4 (due 11/6)
Chapter 7 Calculational Exercises q2,3,4,5,6,7; Proof-Writing Exercises q5,6,8,9,10,12 (due 11/13)
Chapter 8 Calculational Exercises q1,2,3,4,5,6, Proof-Writing Exercises q1,2,3,4 (due 11/20)
Determinants worksheet; Chapter 9 Calculational Exercise q2 & Proof-Writing Exercises q1,2,3,4,5 (due 11/27)
Change of orthonormal basis worksheet; Chapter 9 Calculational Exercises q3,4,5 & Proof-Writing Exercise q7; Chapter 10 Calculational Exercises q1,2; Chapter 11, Calculational Exercises q1,2,3 & Proof-Writing Exercise q1 (due 12/4).
WeBWork: Login to WeBWork at
http://webwork.math.ucdavis.edu/webwork2/MAT67-Waldron-Fall-2012/
username = UC Davis MailID (e.g. conundrum for conundrum@ucdavis.edu), password = student ID,
login tutorial, getting started guide, WeBWork wiki
Exams: One midterm (Wednesday November 7 in class) and one COMPREHENSIVE final: GIEDT 1003 (alternate seating) - Thursday, December 13, from 1:00-3:00p
Grading: 10% webwork problem sets, 40% written homeworks and quizzes, 10% midterm and 40% final exam.

Grading scheme: grades will be curved but the following are guaranteed:
>80% total points A, >70% at least B, >60% at least C, >50% at least D

wally@math.ucdavis.edu