MATH 100 - Calculus 1
Announcements
None at this time.
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 | P.1, P.2, P.3, P.4, 1.1, 1.2, 1.3, 1.4 | TBA |
Assignment 2 | Solutions | 1.5, 2.1, 2.2, 2.3, 2.4 | TBA |
Assignment 3 | Solutions | 2.5, 2.6, 3.1, 3.2, 3.3, 3.4 | TBA |
Assignment 4 | Solutions | 3.5, 3.6, 3.7, 3.8, 3.9 | TBA |
Assignment 5 | Solutions | 4.1, 4.2, 4.3, 4.4, 4.5, 8.6 | TBA |
Assignment 6 | Solutions | 5.1, 5.2, 5.3, 5.4, 5.5 | TBA |
Assignment 7 | Solutions | 6.2, 6.3 | TBA |
Term Tests
Test | Sections of Textbook | Test Date | Sample Tests |
Test 1A Solutions Test 1B Solutions |
P.1 Graphs and Models P.2 Linear Models and Rates of Change P.3 Functions and Their Graphs P.4 Review of Trigonometric Functions 1.1 A Preview of Calculus 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically 1.4 Continuity and One-Sided Limits 1.5 Infinite Limits 2.1 The Derivative and the Tangent Line Problem 2.2 Basic Differentiation Rules and Rates of Change 2.3 Product and Quotient Rules and Higher-Order Derivatives 2.4 The Chain Rule |
TBA | Sample Test 1U Solutions Sample Test 1V Solutions Sample Test 1W Solutions Sample Test 1X Solutions Sample Test 1Y Solutions Sample Test 1Z Solutions |
Test 2A Solutions Test 2B Solutions |
2.5 Implicit Differentiation 2.6 Related Rates 3.1 Extrema on an Interval 3.2 Rolle’s Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test 3.4 Concavity and the Second Derivative Test 3.5 Limits at Infinity 3.6 A Summary of Curve Sketching 3.7 Optimization Problems 3.8 Newton’s Method 3.9 Differentials |
TBA | Sample Test 2U Solutions Sample Test 2V Solutions Sample Test 2W Solutions Sample Test 2X Solutions Sample Test 2Y Solutions Sample Test 2Z Solutions |
Test 3A Solutions Test 3B Solutions |
4.1 Antiderivatives and Indefinite
Integration 4.2 Area 4.3 Riemann Sums and Definite Integrals 4.4 The Fundamental Theorem of Calculus 4.5 Integration by Substitution 8.6 Numerical Integration 5.1 The Natural Logarithmic Function: Differentiation 5.2 The Natural Logarithmic Function: Integration 5.3 Inverse Functions 5.4 Exponential Functions: Differentiation and Integration 5.5 Bases Other Than e and Applications |
TBA | Sample Test 3U Solutions Sample Test 3V Solutions Sample Test 3W Solutions Sample Test 3X Solutions Sample Test 3Y Solutions Sample Test 3Z Solutions |
Final Sections: 6.2 Growth and Decay 6.3 Separation of Variables and the Logistic Equation |
Final Exam
The MATH 100 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.
Precalculus Review Material
The math department has created a MATH 100 Readiness Check document. This guide, which includes practice questions (with answers), is intended to help you decide whether you are ready for MATH 100 or whether you should first consider upgrading your math skills by taking the precalculus course MATH 115.
Laura Shepherd has created a MATH 115 Student Guide that describes in detail the content and learning outcomes of the MATH 115 (Precalculus) course. You should be familiar with the topics from MATH 115 before attempting MATH 100.
Susie Wieler has prepared a precalculus review page at myopenmath.com with practice questions. To access the site, use the Course ID 109818 and Enrollment Key camosun.
Besides chapter P of our textbook, which we will go over in class, the textbook includes an online Appendix C - Precalculus Review section, which covers a few select algebra topics such as real numbers, inequalities, absolute value, distance and midpoint formulas, circles, and completing the square.
Documents
- MATH 100 Course Outline ("Official" syllabi are available for sec 003 and 004.)
- MATH 100 Readiness Check
- Appendix C - Precalculus Review
- Basic Geometry Formulas
- Basic Graphs (by Gilles Cazelais)
- Transformations of Functions (Sec P.3)
- Basic Trigonometric Identities (Sec P.4)
- Unit Circle (Sec P.4)
- Calculus Preview (Sec 1.1)
- Limit Example (Sec 1.2)
- Properties of Limits (Sec 1.3)
- Continuity and the Intermediate Value Theorem (Sec 1.4)
- Properties of Infinite Limits (Sec 1.5)
- Basic Derivative Formulas (Sec 2.2-2.4, 5.1, 5.3-5.5)
- Implicit Differentiation Example (Sec 2.5)
- Related Rates Exercises (Sec 2.6)
- Definitions of Extrema (Sec 3.1)
- Example Showing Extrema (Sec 3.1)
- Increasing and Decreasing Functions (Sec 3.3)
- Concavity and Second Derivative Test (Sec 3.4)
- Analyzing and Graphing Functions with Examples (Sec 3.6)
- Optimization Guidelines and Problems (Sec 3.7)
- Differentials and Error Propagation (Sec 3.9)
- Basic Integration Rules (Sec 4.1)
- Summation (Sec 4.2)
- Riemann Sum and Definite Integral (Sec 4.3)
- Properties of Definite Integrals (Sec 4.3)
- Fundamental Theorem of Calculus (Sec 4.4)
- Numerical Integration (Sec 8.6)
- Interest (Sec 6.2)
- Exponential Growth and Decay Problems (Sec 6.2)