## Daily Assignments

#### September 22: WeBWork Due

#### September 21: Infinite Limits

- Read one of
- §1.7 of the notes.
- Stewart §1.5 the end bit on infinite limits, and §3.4 (yes, really, but feel free to skim the “precise definition” bit)
- Strang and Herman §2.2 the part on infinite limits and §4.6

#### September 16: Trigonometric Limits

- Read one of
- §1.6 of the notes.
- Strang and Herman The section the Squeeze Theorem in §2.3

- You can read Stewart §1.6 from Theorem 2 to the end, but it’s a really cursory treatment and we’re covering this topic in much more depth than Stewart does.
- Optional videos

#### September 15: WeBWork and Mastery Quiz due

- Mastery Quiz 2 Due at noon Tuesday, September 15. Submit on Blackboard as
**one pdf file**.

#### September 14: Continuity and Computing Limits

- Read one of
- §1.5 of the notes.
- Stewart §1.6 through Example 10, and §1.8.
- Strang and Herman the rest of §2.3 and §2.4.

- Optional Videos
- [Math at Andrews on the Intermediate Value Theorem](https://www.youtube.com/watch?v=MPmtLX-7pUY

#### September 8/9: Formal Limits (Please try to complete before recitation)

- Mastery Quiz 1
**Due at noon Tuesday**. Submit on Blackboard. - Watch the first ten minutes of Essence of Calculus, Chapter 7
- If you haven’t seen derivatives before, don’t worry too much about when he mentions them. The key material I want starts about five minutes in.
- You can also ignore the L’Hospital’s Rule discussion that starts about ten minutes in. L’Hospital’s Rule is very useful, but we won’t be covering it in this class. (And even if you already know it, you
**may not use it**in this class.)

- Read one of:
- Optional: Play with this Geogebra widget for visualizing ε-δ arguments.

#### September 2: Informal Continuity and Limits

- Read Section 1.3 of the online notes
- Optional: Watch The BEST explanation of limits and continuity on Youtube
- Optional: read Stewart §1.5 or Strang and Herman §2.2

#### August 31: Syllabus and Review of Functions

- Please read the syllabus
- Claim your account on WeBWork (Username is your GWU email, password is GWID)
- Read Professor Bonin’s advice on study skills
- Read Section 1.1 of the online notes (about a page)
- Skim one of:
- Stewart §1.1-3
- Strang and Herman §1.1-3
- Section 1.2 of the online notes.

- Optional/bonus: Watch Essence of Calculus, Chapter 1 by 3Blue1Brown

## Course Goals

This is the first semester of a standard year-long sequence in single-variable calculus. The main topics are limits and continuity; differentiation and integration of algebraic and trigonometric functions; and applications of these ideas. This corresponds to Chapters 1–5 of Stewart and Chapters 1–6 of Herman–Strang.

By the end of the course, students will acquire the following skills and knowledge: students will know the intuitive and formal definitions of the limit, derivative, antiderivative, and definite integral of a function. Students will be able to distinguish continuous from discontinuous functions by visual and algebraic means; to calculate derivatives of functions both by definition and using various simplification rules; to formulate and solve related rates and optimization problems; to accurately sketch graphs of functions; to calculate antiderivatives and definite integrals of a variety of functions; to compute areas of regions in the plane and volumes of solids of revolution; and to explain the significance of important theoretical results such as the Extreme Value Theorem, Mean Value Theorem, and Fundamental Theorems of Calculus.

The course syllabus is available here.

## Course notes

## Mastery Quizzes

The topics for the quizzes are:

- Informal Continuity and Limits
- Formal Limits
- Computing Limits

- Mastery Quiz 2 Due at noon Tuesday, September 15. Submit on Blackboard as
**one pdf file**. - Mastery Quiz 1
**Due at noon Tuesday.**Submit on Blackboard.

## Tests

- Midterm on Tuesday, October 20
- [Practice Midterm]
- [Solutions]

- Final Exam
- [Practice Final]
- [Solutions]

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 1231 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 1*, 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 1231 will **not** use WebAssign.