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MTH 33, Calculus and Analytic Geometry III
Spring 2026, Section D01, 19525

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

Math Tutoring Lab - very helpful for any math questions

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 MTH 33 Class Calendar  (reload page for latest version)
 

Date Day Sections covered Homework
       
1 Jan 26 Mon Introduction, 10.1 Curves Defined by Parametric Equations
No class due to snow, instead study these notes		  
2 Jan 27 Tue 10.1, 10.2 Calculus with Parametric Curves
The cycloid		  
3 Jan 28 Wed 10.3 Polar Coordinates
10.4 Calculus in Polar Coordinates		 HW #1
       
4 Feb 2 Mon 10.5 Conic Sections  
5 Feb 3 Tue 10.6 Conic Sections in Polar Coordinates
`Oumuamua interstellar object with e=1.2		 HW #2
6 Feb 4 Wed 12.1 Three-Dimensional Coordinate Systems
  
       
7 Feb 9 Mon 12.2 Vectors, 12.3 The Dot Product  
8 Feb 10 Tue 12.4 The Cross Product HW #3
9 Feb 11 Wed 12.5 Equations of Lines and Planes, Review  
       
Feb 16 Mon No class  
Feb 17 Tue No class  
10 Feb 18 Wed Quiz #1 on HW #1, then
12.5, 13.1 Vector Functions and Space Curves		  
       
11 Feb 23 Mon 13.2 Derivatives and Integrals of Vector Functions
No class due to snow, instead study these notes		 HW #4
12 Feb 24 Tue 13.3 Arc Length and Curvature
No class again so more notes		  
13 Feb 25 Wed 14.1 Functions of Several Variables,
14.2 Limits and Continuity		  
       
14 Mar 2 Mon 14.3 Partial Derivatives  
15 Mar 3 Tue 14.4 Tangent Planes and Linear Approximations HW #5
16 Mar 4 Wed 14.5 The Chain Rule, Review  
       
17 Mar 9 Mon Quiz #2 on HW #2, #3, then
14.6 Directional Derivatives and the Gradient Vector		 HW #6
18 Mar 10 Tue Review for the midterm (on HW 1 - 4)  
19 Mar 11 Wed Midterm exam  
       
20 Mar 16 Mon 14.7 Maximum and Minimum Values  
21 Mar 17 Tue 14.8 Lagrange Multipliers HW #7
22 Mar 18 Wed 15.1 Double Integrals over Rectangles  
       
23 Mar 23 Mon 15.2 Double Integrals over General Regions HW #8
24 Mar 24 Tue 15.3 Double Integrals in Polar Coordinates  
25 Mar 25 Wed 15.4 Applications of double integrals, Review  
       
26 Mar 30 Mon Quiz #3 on HW #5, #6, then 15.5 Surface Area  
27 Mar 31 Tue 15.6 Triple Integrals  
Apr 1 Wed No class, spring break  
       
Apr 6 Mon No class, spring break  
Apr 8 Wed No class, spring break  
       
28 Apr 13 Mon 15.7 Triple Integrals in Cylindrical Coordinates  
29 Apr 14 Tue 15.8 Triple Integrals in Spherical Coordinates  
30 Apr 15 Wed 15.9 Change of variables in multiple integrals  
       
31 Apr 20 Mon Review of Chapter 15  
Apr 21 Tue No class (Thursday schedule)  
32 Apr 22 Wed Quiz #4 on HW #7, #8, #9 then 16.1 Vector Fields  
       
33 Apr 27 Mon 16.2 Line Integrals  
34 Apr 28 Tue 16.3 The Fundamental Theorem for Line Integrals  
35 Apr 29 Wed 16.4 Green’s Theorem  
       
36 May 4 Mon 16.5 Curl and Divergence  
37 May 5 Tue 16.6 Parametric Surfaces and Their Areas  
38 May 6 Wed 16.7 Surface Integrals  
       
39 May 11 Mon Review  
40 May 12 Tue Quiz #5 then 16.8 Stokes’ Theorem  
41 May 13 Wed 16.9 The Divergence Theorem  
       
May 18 Mon No class  
42 May 19 Tue Review  
       
    Final Exam