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Mth 31, Analytic Geometry and Calculus I
Fall 2025, Section D03, 22322

Instructor: Cormac O'Sullivan
We meet in NL 120 (that's North Hall and Library) on Mon, Tue, Wed, 2:00 – 3:50.
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Class Information and the syllabus

Review sheets and more

Math Tutoring Lab - very helpful for any math questions
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 Mth 31 Class Calendar  (reload page for latest version)

  Date Day Sections covered Homework
         
1 Aug 26 Tue Introduction, 2.1 Tangents and velocity  
2 Aug 27 Wed 2.1, 2.2 Limit of a function  
         
  Sept 1 Mon No class  
3 Sept 2 Tue 2.2 Limit of a function HW #1
4 Sept 3 Wed 2.3 Calculating limits using limit laws  
         
5 Sept 8 Mon 2.5 Continuity  
6 Sept 9 Tue 2.6 Limits at infinity; horizontal asymptotes HW #2
7 Sept 10 Wed 2.7 Derivatives and rates of change  
         
8 Sept 15 Mon 2.7, 2.8 The derivative as a function  
9 Sept 16 Tue Review of Chapter 2 HW #3
10 Sept 17 Wed Quiz #1 then 3.1 Derivatives of polynomials, exponentials  
         
  Sept 22 Mon No class  
  Sept 23 Tue No class  
  Sept 24 Wed No class  
         
11 Sept 29 Mon 3.2 The product and quotient rules  
12 Sept 30 Tue 3.3 Derivatives of trigonometric functions HW #4
  Oct 1 Wed No class  
         
13 Oct 6 Mon 3.4 The chain rule  
14 Oct 7 Tue 3.5 Implicit differentiation HW #5
15 Oct 8 Wed 3.6 Derivatives of logs, inverse trig functions  
         
  Oct 13 Mon No class  
16 Oct 14 Tue (Monday schedule) 3.7 Rates of change in natural sciences,
Review		 HW #6
17 Oct 15 Wed Quiz #2 then 3.9 Related rates
         
  Oct 20 Mon No class  
18 Oct 21 Tue 3.10 Linear approximations, differentials  
19 Oct 22 Wed 3.11 Hyperbolic functions HW #7
20 Oct 24 Fri (Monday schedule) Review for the midterm  
         
21 Oct 27 Mon Midterm exam  
22 Oct 28 Tue 4.1 Maximum and minimum values HW #8
23 Oct 29 Wed 4.2 The Mean Value Theorem  
         
24 Nov 3 Mon More on 4.2, 4.3  
25 Nov 4 Tue 4.3 How derivatives affect graph shape HW #9
26 Nov 5 Wed 4.4 Indeterminate forms and l'Hospital's rule, Review  
         
27 Nov 10 Mon Quiz #3 then more on 4.4, 4.5  
28 Nov 11 Tue 4.5 Summary of curve sketching HW #10
29 Nov 12 Wed 4.7 Optimization  
         
30 Nov 17 Mon 4.8 Newton's method HW #11
31 Nov 18 Tue 4.9 Antiderivatives  
32 Nov 19 Wed Review of chapter 4  
         
33 Nov 24 Mon 5.1 Areas and distance
 HW #12
34 Nov 25 Tue Quiz #4 then 5.2 The definite integral  
35 Nov 26 Wed 5.2 The definite integral  
         
36 Dec 1 Mon 5.3 The Fundamental Theorem of Calculus HW #13
37 Dec 2 Tue 5.4 Indefinite integrals  
38 Dec 3 Wed 5.5 The substitution rule
  
         
39 Dec 8 Mon Review Review
sheet
40 Dec 9 Tue Review  
41 Dec 10 Wed Quiz #5 then more review Sample
final
         
42 Dec 15 Mon Review for the final
Student survey		  
         
  Dec 22 Mon Final Exam: 2 -- 4:50