MATH 16A-001: SHORT CALCULUS (Winter 2015).
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., Feb. 3, 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.
Note:
L'Hopital's Rule to compute limits was not covered in the lecture, but
(as any other correct method you may know) is allowed to use on exams - however,
you will receive zero credit if you make the slightest mistake or omission,
so I recommend you do not try to use it.
Midterm 1 solutions.
Midterm 2 information: Time and place: Wed., Mar. 2, 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.
Midterm 2 solutions.
Finals week information
Final solutions.