Professor: Autumn Kent, 615 Van Vleck Hall, email
Lecture times & location: TR 9:30–10:45am in Van Vleck B239.
Office hours: Tuesdays, 11 AM - noon, 2 PM - 3 PM, and by appointment.
TA: Bryan Veyera
Communicating with me: The best way to communicate with me is to come to my office hours. If you cannot make it to these, try your TA's office hours, or make an appointment with me. Email is a very inefficient way to ask questions about mathematics, and due to the large number of students, I am unable to answer mathematical questions via email. I am extremely open to questions during lecture, so bring them to class!Topics and approximate lecture schedule: Below is an approximate list of topics covered in each lecture. Topics might change during the semester. It is your responsibility to keep track of any updates.
First midterm — Tuesday, March 3.
Second midterm — Thursday, April 16.
Final Exam — Sunday, May 10 from 7:45 AM–9:45 AM in a location to be determined. By registering in this class you agree to be present at the final exam on this date and at this time.
| Final | 35% |
| Midterm 1 | 25% |
| Midterm 2 | 25% |
| Homework and quizzes | 15% |
A note about cell phones. Please keep your phone stowed and muted during class.
Calculators and computers: You can use calculators and/or computer while working on your homework (to double check answers, investigate further, etc). Twenty years ago a graphing calculator represented the very best a hand held device could offer in computation. Today however, any computer, or even your smart phone combined with the internet, is a much more powerful device. Many answers to calculus problems can be found on Wolfram-alpha, or simply by asking Google. Try entering '' y=x^2-x^3 '' in Google (just cut-and-paste without the quotes.) Note that asking the internet to solve your problems can also lead to completely wrong answers, or ''correct'' answers that are so poorly written up that they might as well be wrong. A similar functionality is given by the on-line Desmos Graphing Calculator.
Calculators and computers on the exams: You will NOT be allowed to use a calculator, computer or cell phone during the exams. All exams will be written so that you will not need a calculator to solve the problems. You should always show your work and your understanding of the material, both on exams and in homework. Even a correct answer may not receive credit if there is no justification for it.
The math department has a drop-in tutorial service, the Math lab. It runs afternoon/evening, Monday through Thursday. It will help with small questions in your homework, etc, but it will not tutor extensively (link to the mathlab page.)
The Math Tutorial service does more extensive tutoring, but you need to commit several hours a week. If you do not attend, they will stop your tutoring. You need a referral from your TA to enter the Tutorial service.
Finally, if in the beginning of the semester you already feel you are in real trouble in the class, you can ask your TA to refer you to the Early Alert System during the third week of classes. The system will have an adviser review your background and issue a recommendations on what else you can do to improve your situation.
All these services are free of charge.
| Tuesday | Thursday | |
| 1. Week of Jan 20 |
Introduction to the course.
Function models for data. |
Basic Function Models:
graphing, parametrization, verbal description. |
| 2. Week of Jan 27 |
Composition and inverse function relations. (Wednesday is last day to drop without DR or W on transcript.) |
Continuous vs. non-continuous functions. |
| 3. Week of Feb 3 |
Discrete derivatives, limits to slope. Existence of derivatives. Reading: Textbook 2.1 – 2.5 |
Existence of derivatives. Rules and tables of derivatives. Reading: Textbook 2.6 – 2.8 |
| 4. Week of Feb 10 |
Rules of derivatives. Reading: Textbook 2.6, 3.1 |
Extrema, inflection points, second derivatives. Reading: Textbook 3.1-3.3 |
| 5. Week of Feb 17 |
Optimization, exponential functions. Reading: Textbook 3.5 |
Exponential growth and decay. Reading: Textbook 4.1-4.5 IN DETAIL: 4.6 |
| 6. Week of Feb 24 |
Antiderivatives: basic rules. Reading 5.1-5.3., 6.1-6.2 |
Integration by substitution. |
| 7. Week of Mar 3 | MIDTERM 1. |
Integration by parts. Reading: 6.1-6.2 |
|
8. Week of Mar 10 |
Area under a graph: definite integrals. Area between two graphs Reading: 5.4-5.6 |
Numerical integration. Improper Integrals. Reading: 5.5, 6.3 |
| 9. Week of Mar 17 |
ODEs and IVPs. Concept of a solution. Separation of variables. Read: 11.1, 11.2 |
Linear ODEs. Read: 11.3, 11.4 (Friday is last day to drop course.) |
| 10. Week of Mar 24 | ODE modeling. | |
| 11. Week of Mar 31 | SPRING BREAK. | |
| 12. Week of Apr 7 |
Functions of two variables as surfaces.
Reading: 7.1-7.4 |
Partial derivatives. Reading: 7.1-7.4 |
| 13. Week of Apr 14 |
Extrema, critical points of functions of two variables. Reading: 7.5 |
MIDTERM 2. |
| 14. Week of Apr 21 |
Constrained optimization. Reading: 7.6-7.7 | Chapter 10. Series, topics TBD |
| 15. Week of Apr 28 |
Sequences and series. Reading: 10.1, 10.2 |
p-series and ratio test Reading: 10.3 |
| 16. Week of May 5 |
Power series. Reading: 10.4. | |
| Sunday, May 10: Final exam (7:45 AM - 9:45 AM, Location TBA) | ||