MATH 101 - Calculus 2
Announcements
Jan 13: This is a reminder that Sunday, January 15 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
- Textbook pages containing the recommended practice problems (6MB; password-protected; password provided in class)
- 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 24 |
Assignment 2 | Solutions | 7.2, 7.3, 7.4, 7.5 | Thursday, February 2 |
Assignment 3 | Solutions | 7.6, 7.7, 8.1, 8.2, 8.3 | Tuesday, February 14 |
Assignment 4 | Solutions | 8.4, 8.5, 8.7, 5.6, 8.8 | TBA |
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 |
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 8 | 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'HÃ´pital's Rule 8.8 Improper Integrals |
Wednesday, March 8 | 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 5 | 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 sometime during the final exam period. 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 ("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)