MATH 100 - Calculus 1

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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 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 PDF