## Course Goals

In this course we will master the details of differential calculus, and pursue some advanced topics and applications. We will also develop technical writing skills that allow clear communication of sophisticated ideas, and learn about some technological tools such as Mathematica useful to mathematical and scientific projects.

We will cover limits, continuity, derivatives, modelling, and applications.

The course syllabus is available here.

## Course Notes

- Precalculus review sheet
- Section 1: Limits (updated 9/10)
- Section 2: Limit Laws (updated 9/26)
- Section 3: Continuity
- Section 4: Infinite Limits
- Section 5: Derivatives
- Section 6: Computing Derivatives
- Section 7: Implicit Derivatives
- Section 8: Inverse Functions
- Section 9: Maxima and Minima

## Homework

- Homework 1, due on Friday September 9
- Homework 2, due on Friday September 16
- Homework 3, due on Friday September 23
- Homework 4, due on Friday September 30
- Practice problems for test 1: Stewart 1.5.36-44 (especially think about 36, 38)
- Homework 5, due on Friday October 14
- Homework 6, due on Friday October 21
- Homework 7, due on Friday October 28
- Derivatives Practice Sheet (Not collected or graded)
- Practice problems for test 2:
- 2.6.3, 2.6.9, 2.6.19, 2.6.21;
- 2.7.3, 2.7.5, 2.7.17, 2.7.29, 2.7.37;

- Homework 8, due on Friday November 11
- Practice problems for test 3:
- 3.2.43, 3.2.45, 3.2.47,3.2.49, 3.2.51, 3.2.53
- 3.3.1, 3.3.7, 3.3.29, 3.3.31, 3.3.35, 3.3.45
- 3.5.1, 3.5.3, 3.5.9, 3.5.17, 3.5.19, 2.5.23, 3.5.27
- 4.6.7, 4.6.13, 4.6.17 (No, the 4 is not a typo here)
- 3.7.5, 3.7.9, 3.7.11, 3.7.17, 3.7.23

- Homework 9, due on Wednesday November 30
- Homework 10, due on Tuesday December 6
**by 4 pm**. - Final Exam practice problems:
- 4.4: 1, 3, 11, 15, 25, 27, 31, 37, 41
- 4.5: 3, 7, 13, 25, 29, 33, 43

## Labs

- Mathematica Tipsheet
- Plot Piecewise file
- Lab 1, Thursday September 1
- Lab 2, Thursday September 8
- Lab 3, Thursday September 15
- Lab 4, Thursday September 22
- Lab 5, Thursday September 29
- Lab 6, Thursday October 13
- Lab 7, Thursday October 20
- Lab 8, Thursday October 27
- Lab 9, Thursday November 10
- Lab 10, Thursday November 17

## Practice Tests

- Practice Test 1, for Test 1 on Thursday, October 6
- Solutions for Practice Test 1
- Solutions for test 1

- Practice Test 2, for Test 2 on Thursday, November 3
- Test covers Sections 4,5,6, and 7.1.
- Solutions for Practice Test 2
- Solutions for test 2

- Practice Test 3, for Test 3 on
**Friday, November 18**- Solutions for Practice Test 3
- Solutions for test 3

- Practice Final, for the final exam on Friday, December 16
- Solutions for the practice final

## Textbook

The textbook for this course is *Single Variable Essential Calculus Early Transcendentals*, Second Edition, by James Stewart. The ISBN is 1-1331-1278-1.

Be warned that there are several custom versions of this textbook floating around, and they do *not* contain the same problems. In particular, in past years some students have purchased the international version which (1) is much cheaper and (2) doesn’t contain the same homework problems as the assigned text. This is terrible and I apologize but I can’t do much other than warn you.

There are electronic versions of the textbook available from the publisher for rent or purchase.