16200 Honors Calculus Section 50

Winter 2008


Instructor

Miklos Abert and Eric Patterson

Email

abert@math.uchicago.edu, eric@math.uchicago.edu

TA

Tom Church

Email

tchurch@math.uchicago.edu

Office hours

 

Problem sessions

 

Course info

Lectures TTh 12:00-1:20 pm, Ry 358

Text

Downloadable in PDF below

Exams

Final:


Recent Announcements

 


General Policy: The plan of the course is to joyfully watch as you learn math yourself. There will be weekly homework, which is usually to be handed in on Tuesdays and given back on Thursdays. There will be a final. 

You are strongly encouraged to work on the journal and homework in groups, but the writing up must be done individually. You are allowed to use the answer key since it does not exist.

Course grading: 

·  Homework and journal: 33%

·  Class participation: 33%

·  Final: 33%

·  If you find a mathematical mistake in the text: 1% (once)

 


Material (in PDF):

 

First quarter:  

Sheet 1: Basics

Sheet 2: The Continuum

Sheet 3: Continuum reload

Sheet 4: Cardinality

Sheet 5: Continuum still

Sheet 6: The return of the continuum

Sheet 7: Compactness

 

Second quarter:

Sheet 8: How to prove connectedness

Sheet 9: Real numbers

Sheet 10: Continuous functions

Sheet 11: Limits of functions

Sheet 12: Uniform continuity

Sheet 13: Sequences

Sheet 14: Sequences again

Sheet 15: Series

Sheet 16: Metric spaces

Sheet 17: More on metric spaces

 

Third quarter:

Sheet 18: Convergence of functions

Sheet 19: Polynomials

Sheet 20: Mod

 

Sheet 23: Graphs

Sheet 24: Planar graphs

Sheet 25: Complex numbers

Sheet 26: Log and Exp

Sheet 27: Sin and cos

Sheet 28: Primes

Sheet 29: Pi is irrational

Sheet 30: Uniform limits

Sheet 31: Taylor series

Sheet 32: Complex functions

Sheet 33: Vector spaces

Sheet 34: Linear maps

Sheet 35: Linear transformations

 


Homework:

 

Due January 22

Due January 29

Due February 5

Due February 12

Due February 19

Due February 26

 

Due April 27: Write up the proofs of Theorems 18.9 and 19.3.

 


 

Credit: I respectfully stole the code of much of this page from Robert Pollack ­– who stole it from someone else named on his homepage. Thanks, Robert!