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MATH 101 - Calculus 2
Announcements
Apr 2: This is a reminder that Saturday, April 11 is the last day you can withdraw from most Winter 2026 courses (including MATH 101) without academic penalty.
Apr 2: The college will be closed on Friday, April 3 and Monday, April 6 for the Easter holiday.
Apr 1: The Mathematics and Statistics department anticipates offering MATH 220 (Multivariable Calculus) and MATH 226 (Elementary Differential Equations) in Fall 2026 and Winter 2027, respectively. The prerequisite for each of these courses is a C in MATH 101. One or both courses are typically required in programs such as Astronomy, Chemistry, Climate Science, Data Science, Economics, Engineering, Financial Mathematics, Mathematics, Physics, and Statistics. Consider taking these second-year calculus courses at Camosun next year. Note that MATH 220 transfers to UVic MATH 200 (Calculus III), while the Camosun pair MATH 220+226 transfers to the UVic pair MATH 200 (Calculus III) + MATH 204 (Calculus IV). Please be aware that, by itself, MATH 226 does not transfer to UVic MATH 204 (Calculus IV), but receives only unassigned (general) second-year math transfer credit if not paired with MATH 220.
Mar 19: The Mathematics and Statistics department has a number of awards available. Two awards in particular, the Agnes Donachie Britton Math Award and the Jill Britton Memorial Calculus Award, are open to students completing MATH 101. Applications are due by April 15, 2026.
Feb 17: The Winter 2026 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 16: There are no classes during the week of February 16-20 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 closed on Monday, Thursday and Friday but will be open 9:00am-4:30pm on Tuesday and Wednesday.
Jan 8: This is a reminder that Sunday, January 11 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 my lecture notes.
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 by 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 | Monday, January 19 |
| Assignment 2 | Solutions | 7.2, 7.3, 7.4, 7.5 | Thursday, January 29 |
| Assignment 3 | Solutions | 7.6, 7.7, 8.1, 8.2, 8.3 | Wednesday, February 11 |
| Assignment 4 | Solutions | 8.4, 8.5, 8.7, 5.6, 8.8 | Friday, February 27 |
| Assignment 5 | Solutions | 9.1, 9.2, 9.3, 9.4, 9.5 | Friday, March 13 |
| Assignment 6 | Solutions | 9.6, 9.7, 9.8, 9.9, 9.10 | Thursday, March 26 |
| Assignment 7 | Solutions | 10.1, 10.2, 10.3, 10.4, 10.5 | Thursday, April 9 |
Term Tests
| Test | Sections of Textbook | Test Date | Sample Tests | Formulas to Know |
| Test 1 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 4 |
Sample Test 1V Solutions Sample Test 1W Solutions Sample Test 1X Solutions Sample Test 1Y Solutions Sample Test 1Z Solutions |
Test 1 Formulas |
| Test 2 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 4 |
Sample Test 2V Solutions Sample Test 2W Solutions Sample Test 2X Solutions Sample Test 2Y Solutions Sample Test 2Z Solutions |
Test 2 Formulas |
| Test 3 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 1 |
Sample Test 3V Solutions Sample Test 3W Solutions Sample Test 3X Solutions Sample Test 3Y Solutions Sample Test 3Z Solutions |
Test 3 Formulas |
| Remaining 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 Thursday, April 16 from 8:30-11:30am in Fisher 338. You must write the final exam at the scheduled time as per Camosun College's policy on final examinations.
Final Exam Period Office Hours (E260):
- Monday, April 13, 12:00-1:00pm
- Tuesday, April 14, 12:00-1:00pm
- Wednesday, April 15, 12:00-1:00pm
- Monday, April 20, 12:00-1:00pm
- Tuesday, April 21, 12:00-1:00pm
I may be contacted by email (ballinger@camosun.ca) at other times.
The following are topics from chapters 5-10 that won’t be tested on the final exam. Some of these topics we covered in class and others we didn’t.
- Extended Mean Value Theorem (sec 5.6)
- volumes of solids with non-circular cross sections (sec 7.2)
- work problems involving lifting chains (sec 7.5)
- work problems involving propulsion (requiring Newton's law of universal gravitation) (sec 7.5)
- finding centers of masses for systems of point masses (sec 7.6)
- Theorem of Pappus (sec 7.6)
- fluid pressure/force (sec 7.7)
- Wallis's formula (sec 8.3)
- integration by tables (sec 8.7)
- monotonic and bounded sequences (sec 9.1)
- root test (sec 9.6)
- remainder formula from Taylor's Theorem (sec 9.7)
- binomial series (sec 9.10)
- long division of power series (sec 9.10)
- eccentricity, foci, etc. of conics (sec 10.1)
- second derivatives/concavity of parametric curves (sec 10.3)
- tangent lines at the pole (sec 10.4)
- naming/classifying special polar graphs (limaçon, cardioid, etc.) (sec 10.4)
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 2026W (Also available is the official syllabus for sec 002.)
- Appendix C - Precalculus Review
- Basic Geometry Formulas
- Basic Graphs (by Gilles Cazelais)
- Basic Trigonometric Identities (Sec P.4)
- Unit Circle (Sec P.4)
- Basic Differentiation Formulas (from MATH 100)
- Basic Integration 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)
- Alternating Series (Sec 9.5)
- 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)