MATH 100 - Calculus 1
Announcements
Oct 15: The Fall 2021 final exam schedule has been posted on myCamosun (click here for a direct link to the schedule). See below for details of the MATH 100 final exam.
Oct 1: I have posted copies of my lecture notes as well as voice-over video lectures that I created last year in case they prove helpful. Due to storage limitations and slow download speeds associated with this website, I have posted these on D2L.
Sep 28: The college will be closed (no classes) on Thursday, September 30 for Truth and Reconciliation Day.
Sep 19: This is a reminder that Monday, September 20 is the fee deadline.
Sep 12: This is a reminder that Thursday, September 16 is the deadline for adding courses or dropping courses with a tuition refund.
Homework Problems
A list of recommended practice problems is available here. The exercises themselves are available here in a password-protected PDF file (11MB). The password will be provided in class.
Solutions to the odd-numbered exercises from the textbook are available from CalcChat.
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 | Thursday, September 23 |
Assignment 2 | Solutions | 1.5, 2.1, 2.2, 2.3, 2.4 | Tuesday, October 5 |
Assignment 3 | Solutions | 2.5, 2.6, 3.1, 3.2, 3.3, 3.4 | Thursday, October 21 |
Assignment 4 | Solutions | 3.5, 3.6, 3.7, 3.8, 3.9 | Monday, November 1 |
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 |
Friday, October 8 | 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 |
Friday, November 5 | 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 |
Friday, December 3 | 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 (covered on
final exam, along with everything else, but not Tests 1-3): 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 on Monday, December 20 from 1:30-4:30pm in Fisher 334/336/338 (for my sections 003 and 004). You must write the final exam at the scheduled time as per Camosun College's policy on final examinations.
The following sets of final exam review questions were prepared by Stan Toporowski, former Camosun MATH 100 instructor. They may prove useful as yet another source of practice problems:
- Review questions 1 (with answers)
- Review questions 2 (with answers)
Links to Textbook Resources from Publisher
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 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 A - Proofs of Selected Theorems
- 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)
- 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)