MAT 136 Exams

# MAT 136 Exams, Spring 2019

There are no notes and no calculators allowed at any exams.

The dates of the midterm exams will be announced at least a week in advance. The Tentative dates have a "?":
Exam 1 will be on Chapter 1, Review and Chapter 2, Limits. (Fri., Feb. 8)
Exam 2 will be on Chapter 3, Differentiation. (Friday, March 8)
Exam 3 will be on Chapter 4, Applications of the derivative (Mon, April 8)
Exam 4 will be on Chapter 5, The integral (Fri, April 26?)

The Final Exam is scheduled for Wednesday, May 8, from 10:00 am to 12:00 noon, in our usual classroom.

Midterm 1 is scheduled for Friday, Feb. 8.
It will cover WeBWorK sets 1-8.
Help for preparing for the exam:
I handed out a sample sample exam in class. That sample exam, and the scanned solutions, are on BbLearn.
Bring your NAU ID card or some other straight-edge. This will be used to draw tangent lines on the exam.
Exam 1 will cover WeBWorK sets 1 through 8. It will cover up through the first 2 examples of section 3.2 in the book. If the book has a topic that we did not cover in class and did not cover in the webwork, it will not be on the test.
Among other things, the exam will test your ability to compute limits and derivatives. Some of you know shortcuts for computing f '(x) given the formula for f(x). You may not use these shortcuts in Midterm 1. (In midterm 2 you will need to know the shortcuts.)  For example, I might ask

"Use the definition of the derivative to compute the
derivative of f(x) = x2 + 3x -2. (Shortcuts are not allowed.)"
If you write down only "f '(x) = 2x + 3" you get absolutely no points. In fact, I may even give you the derivative, like in the sample exam.

I may take points off if you use bad "grammar" even if you get the correct answer. This is especially true of the problems that ask to evaluate limits. Write "lim" where it belongs, and don't write it where it does not belong.

Midterm 2 is scheduled for Friday, March 8.
There will be a review session by our TA Ryan on Wednesday, March 6, from 5-6 in AMB 163.
There will be review session in the MAP room (AMB 137) on Friday March 1, from 3-5.

No calculators, and no notes, are allowed at this exam. You may not have a cell phone or smart watch during the exam. They must be placed in your backpack. All backpacks need to be at the front or back of the room.
The exam will mainly test your ability to differentiate using shortcuts. It will cover WeBWorK sets 9 - 14. One of the best ways to study for the exam is to re-do all of the webwork problems (with your old answers hidden).
You will be tested on your knowledge of the "rules" including the constant multiple rule, sum and difference rules, product rule, quotient rule, and chain rule. You need to know the derivatives of mx + b, xa, ex, ax, sin(x), cos(x), tan(x), arcsin(x), arctan(x), ln(x), and ln|x|. See the handout entitled Differentiation Shortcuts for everything you need to know.
You may have to give an equation of the tangent line to a given curve at a given point.
You may have to find the value(s) of x at which the graph of a function has a horizontal tangent line. (Solve f '(x) = 0)
You may have to sketch the graph y = f '(x) given the graph y = f(x).
You will be marked off for algebra errors. For example
d/dx sin(x2 + 3x) = cos(x2+3x)*(2x + 3).  The answer cos(x2+3x)*2x + 3, without the parentheses, is wrong.
d/dx ecos(x) = ecos(x)*(-sin(x)) = -sin(x) ecos(x).  The answer ecos(x) -sin(x) is wrong.
You may also loose points if you write "x2 = 2 x", or the equivalent.

Midterm 3 is scheduled for Monday, April 8.
It will cover WeBWorK sets 15-20.
I will give you the formula for Newton's method if you need it: xn+1 = xn - f(xn)/f '(xn)
There is a review session given by the PMAs on Monday, April 1, from 6 to 8 pm, in AMB 137 (the MAP room).