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
- Section 9: Maxima and Minima
- Homework 1, due Wednesday, September 5
- Homework 2, due Wednesday, September 12
- Homework 3, due Wednesday, September 19
- Practice Homework 3.5, for test on Tuesday, September 25
- Homework 4, due Wednesday, October 3
- Homework 5, due Friday October 12
- Practice Homework 5.5, for test on Tuesday, October 16
- Homework 6, due Wednesday October 24
- Homework 7, due Wednesday October 31
- Optional derivatives practice sheet
- Practice Homework 7.5, for test on Tuesday, November 6
- Homework 8, due Wednesday November 14
- Homework 9, due Monday November 26 (Updated Nov 16)
- Homework 10, due Monday December 3
- Final Practice Homework
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
Your worst midterm will only count for half the weight that the other two do.
Tentative midterm dates are September 25, October 16, and November 6.
- Practice Test 1
- Practice Test 2
- Practice Test 3
- Practice Final
The final exam will be in the usual classroom at 1:00 PM on Friday, December 7. I will update here when the schedule is published.
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.