Mathematics 165 - Midterm

Sections 2,3

Scores

Midterm scores will be on WebCT early next week. During recitation section, ask your TA to see your exam and find out about where things went wrong. But look at WebCT first!!

Time, Date

Thursday, February 24, 8-9.30 in Hoover 2055.

Please make sure well beforehand that you know where that building and room is.

Material

Everything covered in class through section 4.1 of the textbook. The emphasis will be on the more recent material.

In comparison to Exam 1, the midterm covers additionally

Higher derivatives
Leibniz notation
Implicit Differentiation
Related Rates
Approximation by Differentials
Maxima, Minima

On the departmental calculus page are two old midterms to use as practice exams. A model solution for the later one is on WebCT. We can go over individual questions about both of them in lecture, recitation or consulting hour.

Format of the test

The midterm will not be multiple-choice. There will be about 10 questions asking you to evaluate a limit or calculate a derivative. You will have to do these without a calculator in 30 minutes. Then this part of the midterm will be handed in, and you can use your calculator for the rest of the exam. For both parts, you will have to show the steps of your working, mere answers get no credit. If you finish the first part in less than 30 minutes, you can start on the second part, but only without using your calculator. You are responsible for spare batteries.

No cheat sheet, but ...

you are expected to know the following as prerequisites.

Trigonometry, Geometry
- Pythagoras' Theorem
- Area of a rectangle = xy
- Area of a triangle = base x height / 2
- Area of a circle = Pi x r²
- Definitions of sin, cos as coordinates of points on unit circle
- Special Values of sin, cos
- Volume of a cube (cylinder and solid sphere won't hurt you either)
Algebra
- Roots, relationship to fractional exponents
- Laws of exponents
- Factorizing a²-b², a³-b³
- Binomial Formula (a+b)² = a²+2ab+b²
- Solving quadratic equations

Stuff to memorize from this class includes

Rules for finding Derivatives (Product, Quotient, Chain)
Special Trig limits
Trig derivatives

And to finish with something that is just plain wrong:

x cos(x) IS NOT cos(x²)

and 2 cos x is not the same as cos (2x) either.