Math 1232: Single-Variable Calculus II
Section 11
Spring 2022

Contact Info
Spring 2022

Office: Phillips Hall 720E

Office Hours:

Often in office:

Course Information



TA Office Hours:

Official textbook:


Section 33:

Section 34:

Section 35:

Daily Assignments

Final Exam May 3 at 5:20 PM
April 26 Mastery Quiz
Finals Week Schedule
April 21: Fun with Series
April 19: Polar Coordinates
April 14: Parametric Coordinates
April 12: Applications of Taylor Series
April 7: Computing Taylor series
April 5: Taylor Series
March 31: Power Series as Functions
March 29: Power Series
March 24: Absolute Convergence and the Ratio and Root tests
March 22: Comparision Test and Alternating Series
March 10: The Integral Test and the Comparison Tests
March 8: Series and the Divergence Test
March 3: Sequences
March 1: Midterm!
February 24: Separable Differential Equations
February 22: Differential Equations
February 17: Arc Length and Surface Area
February 15: Improper Integrals
February 10: Numeric Integration
February 8: Integration with Partial Fractions
February 3: Trigonometric Integrals
February 1: Integration by Parts
January 27: L’Hospital’s Rule
January 25: Inverse Trigonometric Functions
January 20: Integrals with Exponentials and Logarithms
January 18: Derivatives with Exponentials and Logarithms
January 13: The Exponential and the Logarithm

Online Slides

January 11: Syllabus and Inverse Functions

Online Slides

Course notes

Mastery Quizzes

Major Topics

  1. Calculus of Transcendental Functions
  2. Advanced Integration Techniques
  3. Series Convergence
  4. Taylor Series

Secondary Topics

  1. Invertible Functions
  2. L’Hospital’s Rule
  3. Numeric Integration
  4. Improper Integrals
  5. Arc Length and Surface Area
  6. Differential Equations
  7. Sequences and Series
  8. Power Series
  9. Applications of Taylor Series
  10. Parametrization


Graphing calculators will not be allowed on tests. Scientific, non-programmable calculators will be allowed. I will have some to share, but not enough for everyone.


The official textbook for Math 1231 is OpenStax Calculus Volume 2 by Gilbert Strang and Edwin Herman. It is available for free online here. You can also buy copies from Amazon; a paperback is a little under $30. During the first few weeks of the course we will also reference volume 1 on a regular basis.

I will be loosely following the textbook, but will often be giving my own take or focusing on topics the textbook doesn’t emphasize. All my course notes will be posted to the course web page.

We will be using a (free!) online homework system called WeBWorK this term. You can access it by going to Blackboard, then to “Course Links”, and clicking the WeBWorK link. This will automatically create an account for you and log you in. You may continue to log in through Blackboard, or if you wish you may create a password within WeBWorK to log in directly.

Course Goals

This is the second semester of a standard year-long sequence in single-variable calculus. The main topics are the behavior, derivatives, and integrals of inverse functions; advanced techniques of integration; sequences, series, and Taylor series; some applications of the integral; differential equations; and parametrized curves and polar coordinates. This corresponds to Chapters 6–11 of Stewart (primarily 6, 7, 11) and Chapters 1–7 of Herman–Strang (primarily 3, 5, 6).

By the end of the course, students will acquire the following skills and knowledge: Students will Define logarithm, exponential, and inverse trigonometric functions, explain their basic properties (continuity, derivatives, asymptotes, etc.) and recognize their graphs; Apply these functions to word problems, and correctly interpret the results; Solve integrals using integration by parts, trigonometric substitution and partial fractions; Analyze, create and recognize polar and parametric graphs; Categorize the convergence of an infinite series; Express algebraic and transcendental functions using Maclaurin and Taylor series.

The course syllabus is available here.