Week 
Important Dates 
Sections 
Topics 
Homework 
1 
Jan 17, 18, 19 
1.1, 1.2, 1.3 
Real number system. Ordered field axioms. Supremum, infimum. 
#1.2.01.2.3; 1.2.4(a,b,d,e); (a,c) of 1.2.5, 1.2.7, 1.2.8 
2 
Jan 24, 25, 26 
1.3, 1.4 
Properties of sup, inf. Density of rationals. Mathematical induction. 
#1.3.01.3.8, 1.3.10, 1.3.11; 1.4.21.4.5, 1.4.8
submit for grade on Feb 2: #1.3.0(c), 1.3.6(a), 1.3.7(b), 1.3.10, 1.4.4(b) 
3 
Jan 31, Feb 1, 2
Drop with no grade: Feb 3 
1.4, 1.5 
Binomial formula. Inverse functions. Images and preimages. DeMorgan's Laws. 
#1.5.1, 1.5.2(b,d), 1.5.3(a,b,c,d), 1.5.4, 1.5.5, 1.5.6(b), 1.5.7
submit for grade on Feb 9: #1.4.3(c), 1.4.8, 1.5.1(a,b) for the function in ε), 1.5.5(iii), 1.5.7 (a)=>(b) 
4 
Feb 7, 8, 9 
1.6 
Countable and uncountable sets. 
#1.6.0, 1.6.1, 1.6.2, 1.6.4, 1.6.5
submit for grade on Feb 16: #1.6.0(c,d), 1.6.1, 1.6.3, 1.6.5(a)

5 
Feb 14, 15, 16 
2.1, 2.2 
Limits of sequences and their properties. 
#2.1.02.1.8, 2.2.02.2.9
submit for grade on Feb 23: #2.1.0(a,c), 2.1.2(c), 2.2.2(b), 2.2.3(d), 2.2.6 
6 
Feb 21, 22, 23 
2.3, 2.4 
Monotone convergence and BolzanoWeierstrass theorems. Cauchy sequences. 
#2.3.0, 2.3.1, 2.3.52.3.7, 2.4.0, 2.4.22.4.5, 2.4.7, 2.4.8 
7 
Feb 28 (Exam 1 on 1.12.2), Mar 1, 2 
2.5, 3.1 
lim sup, lim inf. Limits of functions. 
#2.5.1, 2.5.7
submit for grade on Mar 9: #2.3.5, 2.3.6, 2.4.3(c), 2.4.5, 2.5.7 
8 
Mar 7, 8, 9 
3.1, 3.2, 3.3 
Properties of limits of functions. Continuity. Extreme Value Theorem. 
#3.1.0, 3.1.1, 3.1.43.1.6, 3.2.13.2.3, 3.2.7, 3.3.1
submit for grade on Mar 23: #3.1.1(a), 3.1.5, 3.1.6, 3.2.1(b), 3.3.1(d) 
Mar 1219: Spring Break 

9 
Mar 21, 22, 23 
3.3, 3.4, 4.1, 4.2 
Intermediate Value Theorem. Uniform continuity. Differentiability. 
#3.3.0(a,b,c), 3.3.23.3.5, 3.4.1, 3.4.2, 3.4.4, 3.4.5(a,b), 3.4.6, 4.1.0(a,b), 4.1.2, 4.1.4, 4.1.8, 4.2.2, 4.2.44.2.6
submit for grade on Mar 30: #3.3.0(a), 3.3.4, 3.4.2(c), 3.4.5(b), 4.1.4

10 
Mar 28, 29, 30
 4.14.4 
Mean Value and Taylor's theorems. L'Hoptial's rule. 
#4.3.1(a,b)4.3.6, 4.4.14.4.3, 4.4.5(af)
submit for grade on Apr 13: #4.3.1(b), 4.3.4, 4.3.5, 4.4.2, 4.4.5(f)

11 
Apr 4, 5, 6 (Exam 2 on 2.34.2) 
5.1 
Review. Riemann integrable functions. 

12 
Apr 11, 12, 13
Withdrawal deadline: Apr 14 
5.1, 5.2 
Riemann integral and its properties. 
#5.1.0(a,b,c), 5.1.2(a,b,c(α)), 5.1.4, 5.2.0(a,b,c), 5.2.3 
13 
Apr 18, 19, 20 
5.2, 5.3 
Fundamental Theorem of Calculus. Integration by parts. Change of variables. 
#5.3.1 submit for grade on Apr 25: #5.1.2(b,c(α)), 5.1.4, 5.2.3(b),5.3.1(b) 
14 
Apr 25, 26, 27 
6.16.4 
Series. 
#6.1.1, 6.1.3, 6.4.1(c,d,e); (ac) of 6.1.0, 6.1.2, 6.2.1, 6.2.2, 6.3.1, 6.4.2 submit for grade on May 4: #6.1.3(c), 6.4.1(c), 6.3.1(b), 5.2.7, 3.3.3 
15 
May 2, 3, 4 
Series. Review. 

16 
May 9 (Tuesday), 12:302:30 p.m.: Final Exam 