Math 142 will cover exponential & logarithmic functions, basic differential equations, integration techniques, applications of integration, infinite series and power series.
| Week | Topic | Notes | Homework |
|---|---|---|---|
| 1 | Integration by substitution | Week 01 | HW1 |
| 2 | Logarithms and exponentials | Week 02 | HW2 |
| 3 | Other bases, inverse trigonometric functions | Week 03 | HW3 |
| 4 | Differential equations, Midterm 1 | Week 04 | HW4 |
| 5 | Euler’s method, integration by parts | Week 05 | HW5 |
| 6 | Other integration methods | Week 06 | HW6 |
| 7 | Partial fractions and L’Hospital’s rule | Week 07 | HW7 |
| 8 | Improper integrals, Midterm 2 | Week 08 | HW8 |
| 9 | Area and volume | Week 09 | HW9 |
| 10 | Work, arc length | Week 10 | HW10 |
| 11 | Infinite series, geometric series | Week 11 | HW11 |
| 12 | Convergence tests, ratio test | Week 12 | HW12 |
| 13 | Taylor series, Midterm 3 | Week 13 | HW13 |
| 14 | Final presentations | Week 14 |
In order to master a subject like calculus, regular attendance is crucial. However, if you have a fever or are not feeling well, then please do not come to class that day. As long as you let me know the reason for your absence, I will do my best to help you stay caught up and make up any material that you missed. The key is to communicate with me when you aren’t able to attend class.
Tobacco products (including chewing tobacco and e-cigarettes) are not allowed in class.
My office hours are shown on my weekly schedule. I am also available by appointment. If you can’t stop by during my regular office hours, just ask me after class or by e-mail, and I’ll be happy to make an appointment that works for both of us.
The term grade will be based on the following factors.
| Component | Proportion |
|---|---|
| Quizzes | 25% |
| Presentation | 5% |
| Midterm 1 | 15% |
| Midterm 2 | 15% |
| Midterm 3 | 15% |
| Final Exam | 25% |
There will be three in-class midterm exams and a cumulative final. Typically these exams will be on the Thursday of the week when they are scheduled. The exams will be closed book and calculators will not be permitted.
Homework problems will be assigned every week. You are expected to complete all problems assigned. The assigned problems will not be collected however. Instead, every Friday there will be a homework quiz during which you must copy problems from your homework to the quiz. You may also have to solve an additional problem similar to the homework problems. You may not use your textbook during the homework quizzes, but you may use your homework and notes. As with the exams, no calculators are allowed during the quizzes, however you are welcome to use calculators or a computer when you do the homework. There are no make-up quizzes due to absence. If you know that you will miss a quiz, please let me know in advance so that we can work out an alternative assignment. Because there are no make-up quizzes, the lowest quiz grade will be dropped from your quiz average.
There will be a final group presentation project assigned near the end of the semester. Each group will have two or three people and the presentations will be 10-15 minutes long. The presentations will take place during the final week of classes, but you will have more than one week to prepare. I will suggested several presentation topics, and if you wish, you can also suggest appropriate alternative topics as well. The presentations will be graded using the following rubric.
Students who think they may need accommodations in this course because of the impact of a disability are encouraged to meet with me privately at the beginning of the semester. Students also should contact Melissa Wood, Title IX/504 Coordinator (mwood@hsc.edu, 434-223-6061) to verify their eligibility for reasonable accommodations. Early contact will help to avoid unnecessary inconvenience and delays.
If we need to switch to an online virtual course at any point during the semester, the basic outline and schedule of topics for the course will remain the same. I will provide asynchronous video guided notes and workshops to help learn the material. I will also divide the class into smaller groups and schedule Zoom meetings during our regular class time where we can go over the material in more detail. I may also incorporate a short oral examination as part of one or more of the midterm or final exams. If you know that you will have trouble with Zoom from home, please let me know.