To do well in Calculus II, you need to have excellent Precalculus and Calculus I skills. This diagnostic quiz can help you determine where your skills could use some extra practice.
Instructions: Give yourself 10 minutes for the Precalculus section, and 15 minutes for the Calculus section.
If you have difficulty with any question, skip it and go on.
Your TA can check your quiz, or you can check it yourself using the
solutions.
For each question, there is an associated worksheet. If you have any difficulty with a part of a question on the quiz, do the worksheet for that question. If you are not sure how to do a problem on a worksheet, get help from a TA, an online video, or a textbook.
Worksheet for Question 1: lines and tangent line approximationsWorksheet for Question 2: exponential, logarithmic, and trigonometric functions
Worksheet for Question 4: absolute values, square roots, and inequalities
Worksheet for Question 5: limits and growth rates
Worksheet for Question 6: definition of derivative, Fundamental Theorem of Calculus
Worksheet for Question 7: some derivatives to have at your fingertips
Worksheet for Question 8: computing derivatives of complicated functions
Worksheet for Question 9: some integrals to have at your fingertips
Worksheet for Question 10: integration by method of substitution
Read this when you have finished your worksheets.
Here are some free online resources:
YouTube has tons of online math videos -- search the specific topic you want to learn about.
dr.Kim's Calculus I lectures from 2020