Date 
Material covered 
Book section 
Assignment 
January 25 
Introduction/sets/functions

0.1 and 0.2

Assignment Zero tex and pdf

January 27 
Natural numbers/induction

0.3

Assignment 1  Due February 3rd, tex and pdf 
January 29 
Countable sets

0.4


February 1 
Real numbers

0.5


February 3 
Sequences

1.1

Assignment 2  Due February 10th, tex and pdf 
February 5 
Cauchy sequences

1.2


February 8 
Operations with sequences

1.3


February 10 
Subsequences I

1.4

Assignment 3  Due February 17th, tex and pdf 
February 12 
Subsequences II

2.1


February 15 
Limits of functions

2.2


February 17 
Operations with limits

2.3


February 19 
Continuity

3.1


February 22 
Algebra of continuous functions

3.2


February 24 
Uniform continuity

3.3

Assignment 4  Due March 3rd, tex and pdf 
February 26 
Special topic I


Exam 1  Due February 26th by 6pm Central time, tex and pdf (Solutions) 
March 1 
Compact sets

3.3


March 3 
Properties of continuous functions

3.4


March 5 
Properties of continuous functions II

3.4

Assignment 5  Due March 12th, tex and pdf 
March 8 
The derivative of a function

4.1


March 10 
Operations with derivatives

4.2


March 12 
Mean value theorem

4.3

Assignment 6  Due March 17th, tex and pdf 
March 15 
Mean value theorem II

4.3


March 17 
L'Hospital's rule

4.4


March 19 
The Riemann Integral

5.1


March 22 
Integrable functions

5.2


March 24 
Riemann sums

5.3


March 26 
Special topic II


Exam 2 due March 26th by 6pm Central time, tex and pdf (Solutions) 
March 29 
The Fundamental Theorem of Integral Calculus

5.4


March 31 
The algebra of integrable functions

5.5


April 2 
Derivatives of integrals

5.6

Assignment 7  Due April 9th, tex and pdf 
April 5 
Change of variables

5.6


April 7 
Change of variables II

5.7


April 9 
Convergence of series

6.1


April 12 
Absolute convergence

6.2


April 14 
Ratio and root test

6.3


April 16 
Conditional convergence

6.4


April 19 
Power series

6.5


April 21 
Taylor series

6.6


April 23 
Special topic III


Exam 3 due April 23rd by 6pm Central time, tex and pdf 
April 26 
Convergence of functions

7.1


April 28 
Uniform convergence

7.2


April 28 
Uniform convergence of power series

7.3

Final Exam due May 10th by 6pm Central time, No late work accepted, tex and pdf 