Daily Assignments
January 26: Inverse Trigonometric Functions
- Read the solutions to mastery quiz 1.
- Read one of:
- §1.5 of the online notes (To be finished)
- Stewart §6.6
- Strang and Herman Volume 1 §1.4 and Volume 1 § 3.7 the bits on inverse trigonometric functions, and Volume 2 §1.7
January 22: Mastery Quiz 1 due
January 21: Integrals with Exponentials and Logarithms
- Read one of:
- §1.4 of the online notes (As updated Jan 19)
- Stewart §6.4
- Strang and Herman Volume 1 §5.6 or Volume 2 §1.6
January 20: WeBWorK due
January 19: Derivatives with Exponentials and Logarithms
- Test WeBWorK set due
- Read one of:
- §1.3 of the online notes (Updated Jan 17)
- Stewart the rest of §6.2 and §6.3
- Strang and Herman Volume 1 §3.9 and possibly
January 14: The Exponential and the Logarithm
- Read one of:
- §1.2 of the online notes
- Stewart §6.2 and §6.3, ignoring the derivative and integral sections
- Strang and Herman Volume 1 §1.5
- WeBWorK due January 19 and another due January 20.
January 12: Syllabus and Inverse Functions
- Please read the syllabus
- Claim your account on WeBWorK. Username is your gwu email at gwu.edu (with no “gwmail” in the address!) and password is your student ID (please change this!)
- Read Professor Bonin’s advice on study skills
- Read one of:
- Section 1.1 of the online notes
- Stewart §6.1
- Strang and Herman Volume 1 §1.4
- Bonus material:
- Video on how the inverse of a function involves reflecting the graph across the line \(y=x\).
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:
- Mastery Quiz 1 due Friday, January 22.
Tests
- Midterm (roughly Feb 25)
- Final Exam
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.