Calculus

Math 142 - Fall 2020

Basic Info

Announcements

Tentative Schedule

  Lecture     Date     Section     Topic     Notes     Homework  
1 8/24   5.4     The Indefinite Integral and Substitutions          
2 8/26   5.5     The Definite Integral       Week 1         HW 1    
3 8/28   5.6     Properties of the Integral and the Average Value          
4 8/31   6.4     Logarithms          
5 9/02   6.1     Exponentials and Logarithms     Week 2     HW 2  
6 9/04   6.2     The Exponential e^x          
7 9/07   4.3     Inverse Functions and Their Derivatives          
8 9/09   4.4     Inverses of Trigonometric Functions     Week 3     HW 3  
9 9/11   6.3     Growth and Decay in Science and Economics          
10 9/14   6.5     Separable Equations Including the Logistic Equation          
11 9/16       Midterm 1     Week 4     HW 4  
12 9/18   6.6     Powers Instead of Exponentials          
13 9/21   7.1     Integration by Parts          
14 9/23   7.2     Trigonometric Integrals     Week 5     HW 5  
15 9/25   7.3     Trigonometric Substitutions          
16 9/28   7.4     Partial Fractions          
17 9/30   3.8     L’Hospital’s Rule     Week 6     HW 6  
18 10/02   7.5     Improper Integrals          
19 10/05   8.1     Areas and Volumes by Slices          
20 10/07       Midterm 2          
21 10/09   8.2     Length of a Plane Curve          
22 10/12   8.4     Probability and Calculus          
23 10/14   8.5     Masses and Moments          
24 10/16   8.6     Force, Work, and Energy          
25 10/19   10.1     The Geometric Series          
26 10/21   10.2     Convergence Tests: Positive Series          
27 10/23   10.3     Convergence Tests: All Series          
28 10/26   10.4     The Taylor Series for e^x, sin x, and cos x          
29 10/28       Midterm 3          
30 10/30   10.5     Power Series          

Course Description

Math 142 will cover exponential & logarithmic functions, basic differential equations, applications of integration, integration techniques, infinite series and power series.

Attendance Policy

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.

Office Hours

My office hours are shown above on my weekly schedule. I am also available by appointment. My office is Blake B-02, which is one of the Blake apartments. You can find it on this map. It looks like a student apartment, but I am using it as my office while the new science building is being built. During my regularly scheduled office hours the front door should be unlocked, so feel free to come in. I’ll be right upstairs. If you would prefer to schedule online office hours, let me know and I’ll be happy to set up a Zoom meeting.

Grading Policy

The term grade will be based on the results of the examinations and the scores on homework quizzes.

Component     Proportion    
Homework     50%
Midterm 1 10%
Midterm 2 10%
Midterm 3 10%
Final Exam 20%

Exams

There will be three in-class midterm exams and a cumulative final. The exams will be closed book and calculators will not be permitted.

Homework

Each week, there will be homework problems due on Friday by 5pm. Please use your cell-phone to scan your solutions as a PDF file and e-mail them to me before the deadline. I recommend using the CamScanner app which is available for free for both Android and iOS. Each homework problem will be graded on a simple two point scale.

Your letter grade for homework will be determined by the percent of possible points you have completed. Late homework assignments will not be accepted, although there may be optional make-up homework assignments later in the semester for students who need them.

Special Accommodations

In compliance with the Hampden-Sydney College policy and equal access laws, I am available to discuss appropriate academic accommodations that may be recommended for students with disabilities. Requests for academic accommodations are to be made at the beginning of the semester (except for unusual circumstances) so that appropriate arrangements can be made. Students are required to contact the Office of Academic Success in order to verify their eligibility for appropriate accommodations.

Virtual Learning Plan

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 (MWF 1:00 - 2:10pm & R 12:30 - 1:40pm) 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.