Week  Day  Topic  Reading  Assignments 

Week 1 Feb 15 
MAT 319 and MAT 320 follow the joint schedule through February 25  
Tuesday  Classes canceled due to weather  
Thursday  Syllabus Introduction Sets and functions 
1.1  Homework 1 (Due Feb 10) 1.1 (pages 1011): 5, 10, 16, 23, 24 

Week 2 Feb 812 
Tuesday  Well ordering property and mathematical induction Finite, countable and uncountable sets, Cantor's theorem 
1.2 1.3 
Homework 2 (Due Feb 17) 1.2 (page 15): 3, 5, 7, 11 1.3 (page 22): 4, 6, 12 
Thursday  Field properties and order properties of real numbers  2.1 2.2 

Week 3 Feb 1519 
Tuesday  The completeness property Applications of the completeness property 
2.3 2.4 
Homework 3 (Due Feb 24) 2.4 (pages 4445): 3, 5, 7, 9, 13, 17 2.5 (pages 5253): 3, 7, 9, 14 
Thursday  (Lecture by Prof. Ebin) Intervals Limit of a sequence 
2.5 3.1 
Takehome Quiz (Due Feb 19 at 3pm) Cumulative, open book, administered through Blackboard 

Week 4 Feb 2226  Tuesday  (Lecture by Prof. Ebin) Theorems about limits 
3.2 

Thursday  (Lecture by Prof. Ebin) Monotone sequences Subsequences and the BolzanoWeierstrass theorem 
3.3 3.4 

Week 5 Mar 15 
Tuesday  Midterm I During lecture time (administered through Blackboard) 
Cumulative (Everything up to Thursday, Feb 26) 
Practice exams from previous semesters:
Practice midterm 1 (Solutions) Practice midterm 2 (with Solutions) Practice midterm 3 (Solutions) Practice midterm 4 (Solutions) 
Everything from here is for MAT 319 only  
Thursday  Review of sequences Properly divergent sequences 
3.5 3.6 
Homework 4 (Due Mar 10) 3.1 (pages 6162): 5d, 8, 9 3.2 (pages 6970): 6b, 6d, 7, 17 3.3 (page 77): 9 

Week 6 Mar 812 
Tuesday  Infinite series  3.7  Homework 5 (Due Mar 17) 3.4 (page 84): 1, 5 3.5 (page 91): 1, 2, 4, 5 3.6 (page 93): 3, 6 
Thursday  Limits of functions  4.1  
Week 7 Mar 1519 
Tuesday  Limit theorems  4.2 4.3 
Homework 6 (Due Mar 24) 3.7 (pages 100101): 5, 9, 10 4.1 (page 110): 7, 12d, 15 4.2 (page 116): 5, 9 
Thursday  Continuous functions Combinations of continuous functions 
5.1 5.2 

Week 8 Mar 2226 
Tuesday  Continuous functions on intervals  5.3  Optional Homework Set 4.3 (page 123): 2, 4, 12 5.1 (page 129): 3, 5, 11 5.2 (pages 133134): 3, 5, 6 
Thursday  Continuous functions on intervals  5.3  
Week 9 Mar 29Apr 2 
Tuesday  Uniform continuity  5.4  Homework 7 (Due Apr 14) 5.3 (page 140): 4, 6, 13 5.4 (page 148): 2, 7, 10 5.6 (page 160): 1, 11 
Thursday  Monotone and inverse functions Review 
5.6  
Week 10 Apr 59 
Tuesday  Midterm II During lecture time (administered through Blackboard) 
Cumulative (with focus on material after Midterm I) 
Practice exams from previous semesters: Practice midterm 1 (with Solutions) Practice midterm 2 (with Solutions) Practice midterm 3 
Thursday  The derivative  6.1  
Week 11 Apr 1216 
Tuesday  The mean value theorem  6.2  Homework 8 (Due Apr 21) 6.1: 1ac, 4, 8ac 6.2: 1d, 6, 13 
Thursday  Applications of the mean value theorem  6.2  
Week 12 Apr 1923 
Tuesday  L'Hospital's rules  6.3  Homework 9 (Due Apr 28) 6.3: 5, 8, 11 6.4: 4, 11, 14c 
Thursday  Taylor's theorem  6.4  
Week 13 Apr 2630 
Tuesday  Applications of Taylor's theorem  6.4  Homework 10 (Due May 5) 7.1: 6a, 8, 12 7.2: 8, 9, 12 
Thursday  Riemann Integral  7.1  
Week 14 May 37 
Tuesday  Integrable functions  7.2  
Thursday  The fundamental theorem of Calculus  7.3  
May 18  Tuesday  Final Exam
11:15am1:45pm (administered through Blackboard) 
Cumulative  Practice exams from previous semesters: Practice final 1 (with Solutions) Practice final 2 (with Solutions) Practice final 3 
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