# Calculus I, Spring 2014

Home Teaching Research Fun Math

## Math 1131, Sections W31 and W32

### Office Hours (312 Waterbury):

Monday, Wednesday and Friday from 11:00-12:00. You can also drop by at another time if you have a quick question.

If these times don't work, let me know and we can find a time that does work!

### Syllabus and Homework

• The Syllabus for Math 1131. This is your source for course pacing, grading, and some helpful hints on group work and calculators.

• You can access WebAssign using HuskyCT. Just go to our section's page, and click the link for "WebAssign Homework" on the left. If you are having trouble logging in, try using another browser. Internet Explorer and Safari do NOT appear to work. Mozilla Firefox and Google Chrome appear to work.

• A list of good practice problems in the textbook.

### Selected Class Handouts and Worksheets:

Class 34: Approximating Net Area
There are a couple of different ways to write down sums formulas. This handout summarizes the different ways, and explains when each is the most valuable.

Class 33: Approximating The Area Under a Curve

Here is a video of the notes for the day's class:

Class 29: Antiderivatives
This handout summarizes a variety of antiderivative formulas that we get for free from our derivative formulas.

Class 28: Optimization Problems
This Worksheet lists the main optimization problems we looked at in class. It also sketches how you can use basic "principles of problem solving and sketching" to solve new optimization problems.

Class 27: Local Maxes and Mins, and Concavity

A couple people missed class on Wednesday due to the surprise snow storm. To help everyone stay on track, I made an extra recording of the day's material using my computer.

This is my first recording, so there's a bit of background noise -- I'll use a better microphone next time. Let me know if you have any questions or other suggestions!

Class 26: Absolute Maxima and Minima
The Handout from today's class gives the basic definitions and pictures for maxima and minima.

Class 24: Related Rates II and Linear Approximations
You can find helpful ideas for solving these types of problems in the day's Worksheet and its Solutions.

To help you get a better sense for the accuracy of linear approximations, try playing around with this interactive graphic.

Class 22: Compound Interest and L'Hospital's Rule I
The in-class handout on interest rates.

You'll probably need to take out loans, or to invest money, at some point in your life. To help you get a concrete sense of what different interest rates mean, I've made an interactive Investments Worksheet. Try changing the values in the spreadsheet. What happens if you change the Starting Value? What about changing the Interest Rate, or the Period?

Class 20: Derivatives and Logarithms
A new handout on Efficiently Finding Hard Derivatives and Solutions. The first page of the handout discusses some shortcut versions of the chain rule. On the second page, the handout reviews some important first steps you should consider when taking derivatives of complicated functions.

Class 19: Implicit Differetiation
A handout for trigonometric derivatives. The first half summarizes the definitions and derivatives of the standard trig functions. The second half shows how to graphs the main trig inverses based on the original function, and summarizes their derivatives.

Class 18: The Chain Rule
This handout on the chain rule and solutions summarizes the four main ways to write/think about the chain rule. It also gives advice on how to solve three sets of increasingly tricky chain rule problems.

Class 11: The Derivative as a Function
To get a good gut feeling for the derivative, try playing around with this interactive graphic.

Class 10: Derivatives and Rates of Change
To get used to seeing the derivative as the limit of the average rate of change of $$f(x)$$, try playing around with this interactive graphic

Class 8: Continuity
Today's handout summarizes the definitions, and some examples, of Continuity.

Class 6: Limit Laws
This fill-in-the-blank handout handout summarizes the many limit laws.

Class 4: The Velocity and Tangent Problems
To get used to seeing the tangent line as the limit of the secant lines, try playing around with this interactive graphic

Class 2: Combining Functions and Exponential Functions

To get a good gut feeling for the graphs of exponential functions with different bases, try playing around with this interactive graphic

You can also explore general exponential functions using a graphing calculator or computer algebra system and this worksheet. This was created using a free and open source computer algebra system called Sage.

Class 1: Functions
An Algebra Review handout.

### Important Textbook Information

You will need both the textbook and a WebAssign access key. The University Bookstore sells a bundle that contains both the book and the WebAssign access code. Using a link below, you can also buy the bundle online for a slightly lower price. Books purchased from other sources might not contain an access code, which can be expensive to buy on its own.

The following is adapted from the Storrs Website:

You can buy the bundled version of Calculus Early Transcendentals, Single Variable by James Stewart either at the UConn Coop or online directly from the publisher (linked below). Both the text and the Webassign code are required for this course.

The unbundled version of the book (that is, the book without a WebAssign access code) can be obtained in many places, but the cost of buying the unbundled text and the WebAssign code separately may be significantly greater.

There are three ways to purchase the text and the WebAssign access code:
1. Get the text and WebAssign access code bundled together from the publisher's special website for either single variable (1131 and/or 1132) or multivariable (1131, 1132, and 2110) texts.
2. Get the text and WebAssign access code bundled together at the UConn Co-op.
3. You can, but we do not recommend, buy the WebAssign access code when you access your homework through HuskyCT. If you do this, the access code will cost between 95 and 110 dollars (based on the number of semesters the access code is good for). This costs much more than the bundled book with access code. Furthermore, the bundled access code will work for the life of the edition of the textbook.

How can you decide which version of the text to buy?

• If you only plan to take Math 1131 and 1132 then you should purchase the single-variable version of the textbook.
• If you plan to take Math 1131, 1132, and 2110 (multivariable calculus) then you should purchase the heavier book Calculus Early Transcendentals by Stewart. This version also includes chapters on multivariable calculus.