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 and the triangle inequality
- Section 1: Limits
- Section 2: Infinite 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 on Friday, January 27
- Homework 2, due on Friday, February 3
- Homework 3, due on Friday, February 10
- Homework 4, due on Friday, February 17
- Homework 5, due on Friday, March 3
- Homework 6, due on Friday, March 17
- Homework 7, due on Wednesday, March 22
- Homework 8, due on Friday March 31
- Homework 9, due on Friday April 7
- Homework 10, due on Wednesday April 12
- Homework 11, due on Wednesday Friday 21
- Homework 12, due on Wednesday Friday 28
- Mathematica Tipsheet
- Plot Piecewise file
- Lab 1, Thursday January 26
- Lab 2, Thursday February 2
- Lab 3, Thursday February 9
- Lab 4, Thursday February 16
- Lab 5, Thursday March 2
- Lab 6, Thursday March 16
- Lab 7, Thursday March 23
- Lab 8, Thursday March 30
- Lab 9, Thursday April 6
- Lab 10, Thursday April 13
- Practice Test 1
- Practice Test 2
- Practice Test 3
- Practice Final
- Practice problems:
- Stewart 4.4.1, 4.4.3, 4.4.11, 4.4.17, 4.4.19, 4.4.29, 44.33, 4.4.37
- Stewart 4.5.3, 4.5.7, 4.5.15, 4.5.25, 4.5.45, 4.4.47
Tentative midterm dates are midterms are February 23, March 23, and April 13.
Your worst midterm will only count for half the weight that the other two do.
The final exam is at 1:00 PM on Friday, May 5, in the usual classroom.
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.