Date  Topics covered  Reading  Homework Assignments 
Monday August 26 
Class Introduction Sec 17: Review of background material 
Read Chapters 1 and 2 

Wednesday August 28 
Sec 17: Review (Cont.) 
Read Section 8 (especially Theorem 8.10, and work through Example 8.11)  
Friday August 30 
Sec 8: Cardinality  Read Section 10  HW 1: Due Friday August 30 Sec 5: 5.1 (a), (d), 5.2 (ac), 5.35.7, 5.8, 5.1926 Sec 6: 6.2, 6.3, 6.4, 6.817 Recommended, but do NOT turn in: Sec 1: 1.2, 1.3, 1.7, 1.8, 1.14 Sec 2: 2.3, 2.5, 2.9, 2.13, 2.14 Sec 3: 3.3, 3.4, 3.5, 3.6 Sec 4: 4.15, 4.19, 4.20 
Monday September 2 
NO CLASS 
LABOR DAY 
NO CLASS 
Wednesday
September 4 
Sec 10: Natural numbers and induction  Read Section 11 (especially familiarize yourself with the axioms of an ordered field, and work through Practice Problems 11.2 and 11.3.)  
Friday
September 6 
Sec 11: Ordered
Fields 
HW 2: Due Friday September 6 Sec 7: 7.133 odd (except for 7.3, 7.7, 7.9) Sec 8: 8.1, 8.7, 8.16, 8.18 (except for 8.1(d)) 

Monday September 9 
Sec 12: The Completeness Axiom 
Read Section 12  
Wednesday September 11 
Construction of the real numbers 
Read Section 13  
Friday September 13 
NO CLASS 
CAMPUS CLOSED 
NO CLASS 
Monday
September 16 
Sec 13: Topology of
the real numbers 

Wednesday
September 18 
Topological spaces  Read Section 14  
Friday
September 20 
Continuous maps, and metric spaces  HW 3: Due Friday September 20 Sec 8: 8.1923 Sec 10: 10.116, 10.19, 10.21, 10.22, 10.28. 

Monday September 23 
Sec 14: Compact subsets of the real
numbers, compact and connected topological spaces 
Read Section 16 (you must understand Definition 16.2)  
Wednesday September 25 
Sec 16: Convergence for sequences.  Read Section 17  
Friday
September 27 
Sec 16: Convergence for sequences (cont.)  HW 4: Due Friday September 27 Sec 7: 7.3, 7.7, 7.9 Sec 8: 8.2, 8.3, 8.9, Sec 11: 11.1, 11.2, 11.3(c)(f)(h)(j)(k), 11.5, 11.7, 11.10, 11.11, 11.12 Sec 12: 12.1, 12.2, 12.6, 12.7 

Monday
September 30 
Homework review  
Wednesday
October 2 
Review  

Friday
October 4 
MIDTERM I  Practice exam .pdf  
Monday October 7 
Sec 17: Limit theorems for sequences  
Wednesday October 9 
Sec 17: Limit theorems for sequences (cont.)  Read Section 18  
Friday October 11 
Sec 18: Monotone sequences and Cauchy sequences  Read Section 19  HW 5: Due Friday October 11 Sec 12: 12.10, 12.12, 12.14, 12.15 Sec 13: 13.1, 13.2, 13.3, 13.4, 13.11, 13.15, 13.20 Sec 14: 14.1, 14.2, 14.3, 14.5(a), 14.6 
Monday
October 14 
Sec 18: Monotone sequences and Cauchy sequences (Cont.)  
Wednesday
October 16 
Sec 19: Subsequences  
Friday
October 18 
Sec 19: Subsequences (cont.)  Read Section 20  HW 6: Due Friday October 18 Sec 16: 16.1, 16.2, 16.4, 16.5, 16.6(b)(d)(e), 16.7(a)(f), 16.8(c), 16.11, 16.15 
Monday October 21 
Sec 20: Limits of functions  
Wednesday October 23 
Sec 20: Limits of functions (cont.)  Read Section 21 (work through the proof of Theorem 21.14)  
Friday October 25 
Sec 21: Continuous functions 
Read Section 22 (work through examples 22.7 and 22.8)  
Monday
October 28 
Sec 21: Continuous functions (cont.)  HW 7: Due Monday October 28 Sec 17: 17.1, 17.2, 17.3, 17.6, 17.8, 17.15(a) Sec 18: 18.1, 18.2, 18.3(a), 18.4, 18.7, 18.14, 18.15 

Wednesday
October 30 
Sec 22: Properties of continuous functions  Read Section 23  
Friday November 1 
Sec 23: Uniform continuity  Read Section 25 (you must understand Definition 25.1, work through Examples 25.2 and 25.4, and do Practice Problem 25.5)  HW
8: Due Friday November 8 Sec 19: 19.1, 19.2, 19.5(a)(d)(f), 19.11, 19.12, 19.13 Sec 20: 20.1, 20.2, 20.4, 20.5, 20.7, 20.14, 20.16, 20.18 
Monday November 4 
Homework review  
Wednesday November 6 
Review  
Friday November 8 
MIDTERM II  Practice exam .pdf  
Monday
November 11 
Sec 25: The Derivative  
Wednesday
November 13 
Sec 25: The Derivative (cont.)  Read Section 26 (especially Example 26.4 and do Practice Problem 26.5)  
Friday
November 15 
Sec 26: The Mean Value Theorem 
Read Section 29  HW 9: Due Friday November 15 Sec 21: 21.1, 21.2, 21.3, 21.6(c)(d)(f), 21.11 Sec 22: 22.1, 22.2, 22.3(a)(b)(e), 22.5, 22.7, 22.13 
Monday November 18 
Sec 29: The Riemann Integral  
Wednesday November 20 
Sec 29: The Riemann Integral (cont.)  Read Section 30  
Friday November 22 
Sec 30: Properties of the Riemann Integral  Read Section 31  HW 10: Due Friday November 22 Sec 23: 23.1, 23.2, 23.3(d)(e), 23.5 Sec 25: 25.1, 25.2, 25.5 
Monday November 25  Friday
November 29 
NO CLASS 
THANKSGIVING BREAK  NO CLASS 
Monday
December 2 
Sec 31: The Fundamental Theorem of Calculus  
Wednesday
December 4 
Further topics 

Friday
December 6 
Further topics 
HW 11: Due Friday December 6 Sec 25: 25.6, 25.7(d), 25.8, 25.11, 25.15 Sec 26: 26.1, 26.2, 26.6, 26.10, 26.11, 26.15 

Monday December 9 
Further topics 

Wednesday December 11 
Homework review 


Friday December 13 
Review 
HW 12: Due Friday December 13 (Not for credit,
do not turn in) Sec 29: 29.1, 29.2, 29.5, 29.7, 29.8, 29.9, 29.11, 29.13, 29.16 Sec 30: 30.1, 30.2, 30.3, 30.9, 30.11, 30.12, 30.15, 30.21 Sec 31: 31.1, 31.2, 31.4, 31.5, 31.12, 31.13 

Saturday December 14 
FINAL EXAM DUAN
G131 7:3010:00 PM 
FINAL EXAM 
Practice exam .pdf 