**Honors Mathematics II:
**

**
** Professor
Karen E. Smith

Course assistant: Ruthi Hortsch

Intended audience: super smart, hardworking freshman who survived Math 295 and want more!

Course Objective: To introduce students to the art and practice of mathematics while studying linear algebra, among many other topics.

Prerequisites: Math 295

The lectures for the course are MTWF at 1 pm in 4088. The discussion section is Monday 5-6 (led by Ruthi, this is not optional but a part of the course.)

The professor has office hours immediately after class on mondays and wednesdays; the course assistant has office hours thursdays 5-6. Both are happy to schedule alternate hours if you can't make these.

Text: Spivak, Calculus, Edition 4, and Hoffman and Kunze, Linear Algebra.

Some topics we will cover: Sequences and series of functions, power series, uniform convergence of functions, real analytic functions. The complex numbers. Vector spaces, bases, linear transformations, dual spaces, determinants, traces, eigenvalues, inner-product spaces. Rudiments of Multilinear Calculus: Limits and continuity in Euclidean space, derivative as a linear map, Chain rule.

Details about course organization on the Math 296 Course Information Sheet

The Daily Update, a summary of what was discussed in class each day, including assignments and quiz announcements.

** NEW! ** Professsor Smith's notes on
Representation Theory , for a course she gave for math and (mostly) physics students in Finland. (Note: this is possibly a book in progress, so please report all typos and unclear explanations if you want your name mentioned in it!)

** A write up about the idea of **
QUOTIENT OBJECTS , written by Ruthi after seeing how many people incorrectly proved that $\mathbb F_p$ is a field on Homework 6. PLEASE LOOK AT IT!

** Make-up **
Quiz 5 , mandatory for all scoring below 7 on Quiz 5,
to be turned in by Monday March 14. Note: the numbers are changed; it is not literally the same.

** Groups and their Representations **
Worksheet . ** Cosets and Quotient Groups **
Worksheet .

** EXAM 2 ** will be in class on Friday March 25. The problems will be distributed the previous friday.

** The FINAL EXAM ** will be THURSDAY APRIL 21, 4-6, in the usual classroom. The problems will be distributed the previous friday.

Notes by Nick Wasylyshyn from Professor Andrey's lectures on Complex Analysis:
Edited Version including all four lectures , and then also unedited versions of each day:
Monday ,
Tuesday ,
Wednesday ,
Friday ,
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**

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Problem Sets:
Set 1 ,
Set 2 ,
Set 3 ,
Problems for Exam 1 ,
Set 4 ,
Set 5 ,
Set 6 ,
Set 7 ,
Set 8
,
Exam 2 Problems
,
Set 9
,
Set 10
,
Set 11
,
Final Exam Problems
,
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