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Math 110 - Course Resources

WeBWorK: This is the online homework system used in the course. Answers to homework questions become available after the due date. After the due date, you can still rework a problem and submit an answer for feedback as many times as you like.

Textbook: The required textbook is Contemporary Calculus by Dale Hoffman. This is an online textbook available for free under the Creative Commons license. You are encouraged to download a copy from the link above; you may also print it out if you wish.

The course covers the first three chapters of the textbook, however some of the textbook sections are not relevant to this course. Specifically, you are NOT responsible for the material in the following sections of the textbook: section 0.1: all (although I recommend you read this introductory section for your own interest); section 0.2: Angles between Lines, Angle Formed by Intersecting Lines; section 0.4: Iteration of Functions, the Greatest Integer Function, A Really "Holey" Function; section 0.5: all; section 1.2: Comparing the limits of functions; List method for showing that a limit does not exist; section 1.3: Bisection Algortihm for approximating roots; section 1.4: all; section 2.3: A Really "Bent" function; section 2.5: Parametric equations; section 2.7: all; section 2.8: Relative error and percentage error, the differential of f.

Supplemental Notes: A few topics discussed in this course are not included in the textbook. Here is a list of resources to help you to review these topics.

• Notes on Approximations: Section 2.8 in the textbook is a good resource to study Linear Approximation, however more extensive discussion on approximations (including Quadratic Approximations) is available in this online textbook (written by UBC professors) CLP Calculus Notes in sections 3.4.1, 3.4.2, 3.4.3 up to exercise 3.4.7, and corresponding problems in the Problem Book. Sections 3.4.4 and 3.4.5 on Taylor polynomials are also relevant, however you are not required to know the sigma notation in this course, so to study Taylor Polynomials for the exam you may want to use these other notes (only Section 1, ignore Section 2 and 3), written by another UBC professor.
• Exponential Growth and Decay models: A simple example here (Example 0.10, page 32, try Activity 0.14 page 34), more examples here (section 3.3.1, page 221: example 3.3.3. 3.3.5, 3.3.6), more examples and exercises here (Carbon dating, page 63, Population growth page 67, skip section 3.3.2 Newton's law of cooling).
• Notes on Exponential and Logarithm Functions:
  • Exponential Functions
  • Logarithm Functions, also more on Logarithmnic Functions here (section 0.4, page 29),
  • Solving equations involving exponentials, in particular Example 1, 3, 4, 5.
• Notes on Trigonometric Functions:
  • Review of trig functions, in particular the sine, cosine, and tangent functions.
  • Solving Trig equations, in particular Example 1, 2, 5.
• Notes on Inverse functions: Carrol College Active Calculus Textbook: Section 0.3 Inverse Funtions (page 24).

Where to get help?

• Office hours: If you have questions, ask your instructors! Check the Sections link above for details on instructors office hours.
• Piazza: Piazza is an online discussion board where students can post questions and answers about anything related to the course.
• Math Learning Centre: Tutors are available, at no charge, to answer questions on a drop-in basis, starting the second week of classes. Term 1 Schedule will be posted soon at the link above.
• AMS tutoring: The UBC student society provides an assortment of tutoring services.