MATH 16A: SHORT CALCULUS (Summer Session 2, 2018).
Course materials
- 2008 Sample exams:
Midterm 1,
Midterm 2,
Final.
A typo in the solution to Probllem 6c on MT2: in the sign
chart for dP/dx, the second interval is (750,2500], not (750,
1500].
Mistakes in the solutions to the 2008 Final: 5(f) range:
[0,1]; 5(g) range: [-8,1]; 8(c) ... so x=1000 maximizes ...
- 2009 Sample exams:
Midterm 1,
Midterm 2,
Final.
A typo in the solution to problem 6d on MT2: last two
lines should have been P=R-C=90*8.5-160-4*90=245. The answer
P=245 is correct.
Midterm 1 information: Time and place: Wed, Aug
22, in class. Bring a pencil and your university ID!
Here is the list of topics it covers. Functions: domain, range (only
when you can find it from the graph), one-to-one functions,
composite functions. Limits: computation of limits, one-sided
limits, and limits involving infinity. Horizontal and vertical
asymptotes and intercepts, and graphing functions using these.
Continuous functions. Derivatives: differentiable functions, rules
(power, sum), tangents. This covers Sections 1.1-1.6, 3.6, 2.1, 2.2
in the book, and the first four homework assignments.
For practice, solve the 2008
and 2009
sample Midterm 1. Try to make your own problems by modifying
examples from lecture and problems from sample exams.
Midterm 2 information: Time and place: Fri, Sept
7, in class. Bring a pencil and your university ID!
Here is the list of topics it covers. Derivatives: rules (power,
product, quotient, chain); implicit differentiation; derivatives of
trigonometric functions; velocity and acceleration; related rates;
increasing and decreasing functions, local and global extrema;
graphing functions using the first derivative. This covers Sections
2.1-2.8, 3.1-3.2, 8.4, in the book, and Homework assignments 5-8.
For practice, solve the 2008
and 2009
sample Midterm 2. Try to make your own problems by modifying
examples from lecture and problems from sample exams. Homework
assignment 5 also has additional practice problems.
Note: Please be very careful when solving routine
derivative problems (such as the problems 1 and 3 on the sample
Midterms 2). You will receive very little partial credit if you
make a differentiation mistake, even a small one.