Calculus II

Math 142 - Spring 2021

Basic Info


Tentative Schedule

Date Section Topic Notes Homework
2/15 5.4 The Indefinite Integral and Substitutions
2/17 5.5 The Definite Integral Week 1 HW 1
2/19 5.6 Properties of the Integral and the Average Value
2/22 6.4 Logarithms
2/24 6.1 Exponentials and Logarithms Week 2 HW 2
2/26 6.2 The Exponential eˣ
3/01 4.3 Inverse Functions and Their Derivatives
3/03 4.4 Inverses of Trigonometric Functions Week 3 HW 3
3/05 6.3 Growth and Decay in Science and Economics
3/08 6.5 Separable Equations Including the Logistic Equation
3/10 Midterm 1 Week 4 HW 4
3/12 6.6 Powers Instead of Exponentials
3/15 7.1 Integration by Parts
3/17 7.2 Trigonometric Integrals Week 5 HW 5
3/19 7.3 Trigonometric Substitutions
3/22 7.4 Partial Fractions
3/24 3.8 L’Hospital’s Rule Week 6 HW 6
3/26 7.5 Improper Integrals
4/05 8.1 Areas and Volumes by Slices
4/07 Midterm 2 Week 7 HW 7
4/09 8.2 Length of a Plane Curve
4/12 8.4 Probability and Calculus
4/14 8.1 Regions Between Curves Week 8 HW 8
4/16 8.6 Force, Work, and Energy
4/19 10.1 The Geometric Series
4/21 10.2 Convergence Tests: Positive Series Week 9 HW 9
4/23 10.3 Convergence Tests: All Series
4/26 10.4 The Taylor Series for eˣ, sin x, and cos x
4/28 Midterm 3 Week 10 HW 10
4/30 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.

Class 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.

When you are in class, please be considerate to the other students in the class. That means wearing masks, no food, no tobacco products, etc.

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%


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


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 a mix of live Zoom lectures and 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.