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.
- Precalculus review
- Section 1: Limits
- Section 2: More on Limits
- Section 3: Limit Laws
- Section 4: Continuity
- Section 5: Derivatives
- Section 6: Computing Derivatives
- Section 7: Implicit Functions
- Section 8: Inverse Functions and Exponentials
- Section 9: Optimization
- Homework 1, due Friday, January 26
- Homework 2, due Friday, February 2
- Homework 3, due Friday, February 9
- Practice Homework 1 for test on February 15
- Homework 4, due Friday, February 23
- Homework 5, due Friday, March 2
- Practice Homework 2 for test on March 8
- Homework 6, due Friday, March 23
- Homework 7, due Friday, March 30
- Derivatives Practice Sheet
- Practice Homework 3 for test on April 5
- Homework 8, due Friday April 13
- Homework 9, due Friday April 20
- Homework 10, due Friday April 27
- Final Practice Homework for final on May 4
You can download Mathematica by following this link. You will be asked to create an account. After you have created an account and logged in, return to that link to download Mathematica for your computer.
- Mathematica Tipsheet
- Plot Piecewise file
- Lab 1
- Lab 2
- Lab 3
- Lab 4
- Lab 5
- Lab 6
- Lab 7
- Lab 8
- Lab 9
- Lab 10
- Practice Test 1 (for Thursday, February 15)
- Practice Test 2 (for Thursday, March 8)
- Practice Test 3 (for Thursday, April 5)
- Practice Final
Your worst midterm will only count for half the weight that the other two do.
Tentative midterm dates are February 15, March 8, and April 5.
The final exam will be at 1:00 PM on Friday, May 4, in the usual classroom.
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 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.