Math 1232: Single-Variable Calculus II
Section 11
Spring 2021

Contact Info
Spring 2021

Office: Blackboard
Email: jaydaigle@gwu.edu

Office Hours (Tentative):

Course Information

Lecture:

TA

Office Hours:

Official textbook:

Other references:

Recitations

Section 33:

Section 34:

Section 34:

Daily Assignments

January 26: Inverse Trigonometric Functions

January 22: Mastery Quiz 1 due

January 21: Integrals with Exponentials and Logarithms

Slides

January 20: WeBWorK due

January 19: Derivatives with Exponentials and Logarithms

Slides

January 14: The Exponential and the Logarithm

Slides

January 12: Syllabus and Inverse Functions

Slides


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.

Course notes

Mastery Quizzes

The topics for the quizzes are:

Tests

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.

Textbook

The official textbook for Math 1232 is Calculus, 8th edition by James Stewart (ISBN-13: 978-1285740621, ISBN-10: 1285740629). It is a very good (and very expensive) textbook. If you go on to take Calculus 2 or Multivariable Calculus at GW, you will also need this book for those classes.

Another perfectly fine book is Calculus 2, by Gilbert Strang and Jed Herman. It is available for free online here.

I will be loosely following Stewart, and will attempt to give references to both books whenever I can. I will not assign problems from either book, but both will contain many problems for if you need extra practice.

Do not purchase Calculus: Early Trancendentals, also by Stewart: it is not the same book as Calculus and it is not used in any mathematics course at GW.

This section of Math 1232 will not use WebAssign.