Week  Day  Topic  Reading  Assignments 

Reminder  MAT 319 and MAT 320 follow the joint schedule through October 3  
Week 1 Aug 28Sept 1 
Tuesday  (1st6th lecture by Prof. Ntalampekos) Sets and functions Induction 
1.1 1.2 
Homework 1 (Due Week 2) p. 10: 6, 15, 16, 22 p. 15: 1, 9, 16 p. 22: 3, 4, 12 
Thursday  Infinite sets  1.3  
Week 2 Sept 48 
Tuesday  Algebraic and order properties of the reals Absolute value on the reals 
2.1 2.2 
Homework 2 (Due Week 3) p. 30: 7, 8, 26 p. 35: 2, 4, 17 p. 39: 4, 6, 11 
Thursday  Completeness of the reals  2.3  
Week 3 Sept 1115 
Tuesday  Applications of the supremum  2.4  Homework 3 (Due Week 4) p. 44: 4, 7, 12, 13, 15 p. 52: 3, 5, 7, 9 
Thursday  Intervals  2.5  
Week 4 Sept 1822 
Tuesday  (7th10th lecture by Prof. Schul) Sequences and limits 
3.1  Homework 4 (Due Week 5) p. 61: 5ab, 6, 8, 9, 10, 12 p. 69: 2, 5, 7 
Thursday  Limit theorems  3.2  
Week 5 Sept 2529 
Tuesday  Monotone sequences  3.3  Homework 5 (Due Week 7) p. 77: 1, 7, 9 
Thursday  Monotone sequences  3.3  
Week 6 Oct 26 
Tuesday  Midterm I During lecture time 
Cumulative  Practice questions 
Everything from here is for MAT 319 only. The website for MAT 320 is in this link.  
Thursday  Subsequences and the BolzanoWeierstrass Theorem  3.4  
Week 7 Oct 913 
Tuesday  Fall Break No classes in session 

Thursday  The Cauchy Criterion  3.5  Homework 6 (Due Week 8) p. 84: 1, 4(b), 11, 12 p. 91: 1, 2(a), 4, 5 

Week 8 Oct 1620 
Tuesday  Properly Divergent Sequences Infinite Series 
3.6 3.7 
Homework 7 (Due Week 9) p. 93: 1, 2, 3 p. 100: 4, 6, 11, 12 
Thursday  Infinite Series Limits of Functions 
3.7 4.1 

Week 9 Oct 2327 
Tuesday  Limits of Functions  4.1  Homework 8 (Due Week 10) p. 110: 4, 6, 10(b), 15 p. 116: 4, 5, 9 
Thursday  Limit Theorems  4.2 4.3 

Week 10 Oct 30Nov 3 
Tuesday  Continuous Functions  5.1 5.2 
Homework 9 (Due Week 12) p. 123: 4 p. 129: 7, 10, 11, 13 p. 140: 1, 4, 6, 17 
Thursday  Continuous Functions on Intervals  5.3  
Week 11 Nov 610 
Tuesday  Midterm II During lecture time 
Cumulative (with focus on material after Midterm I) 
Practice questions 
Thursday  Continuous Functions on Intervals  5.3  
Week 12 Nov 1317 
Tuesday  Uniform Continuity  5.4  Homework 10 (Due Week 14) p. 148: 2, 6, 7, 10 p. 170: 1(a)(c), 4, 8a p. 179: 3(c), 6, 13 
Thursday  The derivative  6.1  
Week 13 Nov 2024 
Tuesday  The mean value theorem  6.2  
Thursday  Thanksgiving Break No classes in session 

Week 14 Nov 27Dec 1 
Tuesday  L'Hospital's rules  6.3  Homework 11 (Due Week 15) p. 187: 5, 8, 11 p. 196: 4, 11 p. 206: 6(a), 8, 12 
Thursday  Taylor's theorem  6.4  
Week 15 Dec 48 
Tuesday  Riemann Integral  7.1  Practice Homework (not to turn in) p. 215: 8, 9, 12 
Thursday  Integrable functions  7.2  
Dec 14  Thursday  Final Exam
Thursday, December 14, 11:15am1:45pm Classroom: Simons Center SCGP 103 
Cumulative (with focus on material after Midterm II)  Practice questions 
Back to the main page of the course