MAT 125: Calculus 2

Fall 2020

Exam 3 information

1. Notes and materials

Notes are not allowed on exams.

Calculators are not allowed on exams.

You may only use other electronic devices (computer, smart phone) to the extent of following exam logistics (below).

Taylor series expansions of $e^x$, $\sin x$, $\cos x$, $\ln(1+x)$, and $(1+x)^p$, if needed, will be provided for you.

2. How to study

Please see tips from first exam.

Practicing by solving problems is much more effective than reading over solutions. There are plenty of review questions in the textbook. Going over homework and correcting mistakes is also a good idea.

3. Exam content

The exam covers everything we have done, up to and including Section 11.8. (Multivariable calculus will be on the next exam.) While the exam is cumulative, we will focus on what was not already tested. Here are some topics we emphasized since the last exam:

• series: power series, radius and interval of convergence
• Taylor polynomials, series, approximations, and errors
• differential equations: solving graphically (slope field), numerically (Euler's method), and algebraically (separation of variables)
• modeling: equilibrium solutions, exponential growth and decay, logistic growth, systems of differential equations

As usual, please note that this document is not a contract. I may have inadvertently left something off that ends up on an exam question. Moreover, I will not be able to test all of this material given the time limitations of the exam. I will have to pick and choose some subset of it.

4. Logistics

Logistics will be identical to Exam 2; review it if you don't remember the procedure.