MATH 101 - Calculus 2

Announcements

Feb 17: The Winter 2024 final exam schedule has been posted on myCamosun (click here for a direct link to the schedule). See below for details of the MATH 101 final exam.

Feb 14: There are no classes during the week of February 19-23 due to the Family day holiday on Monday followed by Reading Break. Office hours are cancelled that week. Please email me if you have any questions. The Math Lab (E224) will be open with regular hours on Tuesday, Wednesday and Thursday of Reading Break.

Jan 18: Like yesterday, Camosun College reopened this morning only to announce plans to close at noon, resulting in the cancellation of my 2hr sec 002 class this afternoon. Once again we’ll have to switch to online notes and videos, which can be found on my D2L page.

For today’s lesson, please start by watching the remaining 13min of the sec 7.2 video, picking up from where you left off yesterday at the 11:55 mark. In this video, covering pages 4-6 of my sec 7.2 lecture notes you will be introduced to the “washer method” for finding volumes of solids of revolution having holes. After a couple examples, we end the section by seeing how we can use similar integration techniques to find volumes of solids that are not of revolution but that nevertheless have known cross-sections.

Next, please watch the first half of the video from sec 7.3, up to the 10:30 mark, covering the first 3 pages of my sec 7.3 lecture notes. In this section we introduce the “shell method” for finding volumes of solids of revolution. On Monday we will aim to finish this section.

If you have any questions, please email me or come see me during my office hours on Friday or before class on Monday. Also, be reminded that Assignment 1 is due in class on Tuesday next week. Assignment 2, due February 1, is now posted below. I will provide paper copies when we meet on Monday.

Jan 17: Camosun college campuses opened this morning. However, due to the snowfall, Camosun announced that the campus would close at noon today, cancelling all classes for the remainder of the day including my afternoon sec 002 of MATH 101. If you are in my sec 002 or you missed my sec 003 lesson this morning, then to make up for today’s lesson, please watch the relevant videos, which can be found on my D2L page.

In particular, start by watching the last 2min of the video for sec 7.1. From the 17:58 mark until the 20:30 mark the video revisits the area problem we began at the end of class yesterday. Then the last 2min, from the 20:30 mark onwards, the video shows how we can find the area by setting up an integral with respect to y.

Secondly, watch the first 12 minutes (until the 11:55 mark) of the video for sec 7.2, where I introduce the “disk method” for finding volumes of solids of revolution. We will continue this section tomorrow, starting with the introduction of the “washer method.” Click here for copies of lecture notes related to today’s lesson.

Jan 16: Environment Canada is forecasting snow accumulation Tuesday night and into Wednesday. Depending on the severity of snowfall, Camosun may close. If it does, an announcement to that effect will be posted on its main homepage, camosun.ca, usually by 6:30am. In the event of closure, I will subsequently post information on this course page explaining how we will make up for Wednesday’s cancelled class.

Jan 11: This is a reminder that Sunday, January 14 is the deadline for adding courses or dropping courses with an 80% tuition refund.


Lecture Notes

In case they prove helpful, on D2L (online.camosun.ca) I have posted copies of lecture notes and voice-over video lessons that I created to support online learning during the early days of COVID-19. The materials are still fairly current, having changed little since then.


Homework Problems

Current, 12th edition of Calculus of a Single Variable by Larson and Edwards.

Older, 11th edition of Calculus of a Single Variable by Larson and Edwards.

Assignments are due before the end of class on the due dates.

Assignment Sections of Textbook Due Date
Assignment 1 Solutions 5.7, 5.8, 5.9, 7.1 Tuesday, January 23
Assignment 2 Solutions 7.2, 7.3, 7.4, 7.5 Thursday, February 1
Assignment 3 Solutions 7.6, 7.7, 8.1, 8.2, 8.3 Wednesday, February 14
Assignment 4 Solutions 8.4, 8.5, 8.7, 5.6, 8.8 Thursday, February 29*
Assignment 5 Solutions 9.1, 9.2, 9.3, 9.4, 9.5 TBA
Assignment 6 Solutions 9.6, 9.7, 9.8, 9.9, 9.10 TBA
Assignment 7 Solutions 10.1, 10.2, 10.3, 10.4, 10.5 TBA

* I've scheduled Thursday, February 29 as the "due date" for Assignment 4 since that's the last day of the week when my section 002 meets. I intend to mark the assignments over the weekend and return them on Monday, March 4. As such, students in either of my sections 002 or 003 may submit Assignment 4 as late as 11:30am on Friday, March 1, without penalty, either by handing them to me during Friday's class (for section 003), or delivering them to my office (E260) or emailing me a single PDF file of the scanned solutions.

Term Tests


Test Sections of Textbook Test Date Sample Tests Formulas to Know
Test 1A
Solutions

Test 1B
Solutions
5.7 Inverse Trigonometric Functions: Differentiation
5.8 Inverse Trigonometric Functions: Integration
5.9 Hyperbolic Functions
7.1 Area of a Region Between Two Curves
7.2 Volume: The Disk Method
7.3 Volume: The Shell Method
7.4 Arc Length and Surfaces of Revolution
7.5 Work
Wednesday, February 7 Sample Test 1V
Solutions

Sample Test 1W
Solutions

Sample Test 1X
Solutions

Sample Test 1Y
Solutions

Sample Test 1Z
Solutions
Test 1 Formulas
Test 2A
Solutions

Test 2B
Solutions
7.6 Moments, Centers of Mass, and Centroids
7.7 Fluid Pressure and Fluid Force
8.1 Basic Integration Rules
8.2 Integration by Parts
8.3 Trigonometric Integrals
8.4 Trigonometric Substitution
8.5 Partial Fractions
8.7 Integration by Tables and Other Integration Techniques
5.6 Indeterminate Forms and L'Hôpital's Rule
8.8 Improper Integrals
Wednesday, March 6 Sample Test 2V
Solutions

Sample Test 2W
Solutions

Sample Test 2X
Solutions

Sample Test 2Y
Solutions

Sample Test 2Z
Solutions
Test 2 Formulas
Test 3A
Solutions

Test 3B
Solutions
9.1 Sequences
9.2 Series and Convergence
9.3 The Integral Test and p-Series
9.4 Comparisons of Series
9.5 Alternating Series
9.6 The Ratio and Root Tests
9.7 Taylor Polynomials and Approximations
9.8 Power Series
9.9 Representation of Functions by Power Series
9.10 Taylor and Maclaurin Series
Wednesday, April 3 Sample Test 3V
Solutions

Sample Test 3W
Solutions

Sample Test 3X
Solutions

Sample Test 3Y
Solutions

Sample Test 3Z
Solutions
Test 3 Formulas
Final Sections:

10.1 Conics and Calculus
10.2 Plane Curves and Parametric Equations
10.3 Parametric Equations and Calculus
10.4 Polar Coordinates and Polar Graphs
10.5 Area and Arc Length in Polar Coordinates
Chapter 10 Formulas


Final Exam

The MATH 101 final exam will be a comprehensive, three hour exam and it will take place on Wednesday, April 17 from 1:30-4:30pm in Young 217/219. Note that the classroom locations are tentative and subject to change.

You must write the final exam at the scheduled time as per Camosun College's policy on final examinations.


Links to other MATH 101 Webpages



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