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.
- List of recommended practice problems
- CalcChat solutions to odd-numbered exercises from the textbook
- Student Solution Manual (14MB)
Older, 11th edition of Calculus of a Single Variable by Larson and Edwards.
- List of recommended practice problems
- CalcChat solutions to odd-numbered exercises from the textbook
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
- Gilles Cazelais's MATH 101 webpage (including a set of comprehensive Lecture Notes created by Gilles)
Documents
- MATH 101 Course Outline for 2024W ("Official" syllabi are available for sec 002 and 003)
- Appendix C - Precalculus Review
- Basic Geometry Formulas
- Basic Graphs (by Gilles Cazelais)
- Basic Trigonometric Identities (Sec P.4)
- Unit Circle (Sec P.4)
- Basic Derivative Formulas (from MATH 100)
- Calculus Preview (Sec 1.1)
- Inverse Trigonometric Functions (Sec 5.7) (by Gilles Cazelais)
- Inverse Trigonometric Derivatives and Corresponding Antiderivatives (Sec 5.7-5.8)
- Hyperbolic Formulas (Sec 5.9)
- Work Problems (Sec 7.5)
- Trigonometric Identities for Trigonometric Integrals (Sec 8.3)
- Trigonometric Substitution (Sec 8.4)
- Partial Fractions (Sec 8.5)
- Integration Tables (Appendix B) (Sec 8.7)
- Review of Limits (Sec 5.6)
- Indeterminate and Determinate Forms of Limits (Sec 5.6)
- Properties of Sequences (Sec 9.1)
- Properties of Series (Sec 9.2)
- Special Types of Series (Sec 9.2)
- Integral Test (Sec 9.3)
- Comparison Tests (Sec 9.4)
- Examples of Absolute vs. Conditional Convergence (Sec 9.5)
- Summary of Tests for Series (Sec 9.6)
- Sequences and Series - True or False? (Sec 9.6)
- Differentiation and Integration of Power Series (Sec 9.8)
- Important Taylor Series (Sec 9.10)
- Euler's Formula and Euler's Identity (Sec 9.10)