# Math 221 DD9: Merit Calculus I Fall 2009

Name: Tom Cooney
Email:tcooney@math.uiuc.edu
Office:150 Altgeld Hall (two doors down from the Merit room)
Office Hours: 10:00-11:00am, 6:00-7:00pm on Thursdays, 10:00-11:00am on Fridays, or by appointment
Merit Sessions: Tuesday and Thursday, 3:00-4:50pm
Merit Room:159 Altgeld Hall
Math 221 Course Information: Dr Whittlesey's course webpage
Information about the Merit Program: Syllabus and the Merit Program's Webpage

## Worksheets (before Exam 1) · Worksheets (after Exam 1) · Worksheets (after Exam 2) · Practice Exams

Welcome to Merit Calculus I. I am looking forward to getting to know you all this semester. Remember that I am here to help. Please drop by my office or email me if you have anything you want to talk about. I spend a lot of time on campus so if you cannot make it to my office hour, we can meet at some other time.

## Worksheets (from before Exam 1)

Worksheet 1 - some precalculus
Worksheet 2 - some limits, squeeze rule, infinite limits
Worksheet 3 - limits, some epsilon-delta, ...
Worksheet 4 - limits, asymptotes, ...
Worksheet 5 - continuity, intermediate value theorem
Worksheet 6 - introduction to and definition of the derivative, velocity and position
Worksheet 7 - derivatives and graphs of functions, differentiability, power, sum, product, quotient rules
Worksheet 8 - some fairly easy review questions Most of today will be spent on Dr. Whittlesey's worksheet

## Worksheets (after Exam 1, before Exam 2)

Worksheet 9 - Trigonometric limits and derivatives We will also spend some time on a quiz that gives you a chance to see how comfortable you feel about taking derivatives.
Worksheet 10 - Chain Rule, Implicit Differentiation
Worksheet 11 - Implicit and logarithmic differentiation, Exponential growth and decay.
Worksheet 12 - Applications of Differentiation, Related Rates.
Worksheet 13 - Related Rates
Worksheet 14 - Linear Approximation, Finding maxima and minima
Worksheet 15 - Mean Value Theorem, L'Hôpital's Rule
Worksheet 16 - First and Second Derivative Tests, Concavity, Points of Inflection, Curve Sketching
Worksheet 17 - Review for Exam 2

### Worksheets (after Exam 2)

Worksheet 18 - Optimization Problems
Worksheet 19 - Newton's Method, Antiderivatives
Worksheet 20 - Riemann Sums
Worksheet 21 - Riemann Sums, Properties of Definite integrals, Antiderivatives
Worksheet 22 - Fundamental Theorem of Calculus, Definite Integrals Also, Dr. Whittlesey's worksheet on the proof of the Fundamental Theorem of Calculus.
Worksheet 23 - Area between curves, Chain Rule
Worksheet 24 - Volume of Surfaces of Revolution
Worksheet 25 - A little volume, Mainly Work
Worksheet 26 - A little work, Average Values, Moments, Centres of Mass
Worksheet 27 - Review for Exam 3 Also look at Dr. Whittlesey's sheet.
Worksheet 28 - Arc Length, Surface Area

## Practice Exams

Practice Exams are a traditional part of the Math Merit experience. Come prepared, see how you do, and then we will talk through the problems together.

### Practice Exam 3: Monday, 30th of November, 7-9pm, 143 Altgeld Hall

Practice Exam 3 - revision aid only, not a prediction.
Solutions to Practice Exam 3 Note that I omitted a "2" in my solution to 6(b).
You should also take a look at the list of review problems that Professor Whittlesey posted under Worksheets on her course webpage. Hope you all had a great Thanksgiving and best of luck on the exam.

### Practice Exam 2: Thursday, 15th of October, 7-9pm, 145 Altgeld hall

Practice Exam 2 - revision aid only, not a prediction.
Solutions to PracticeExam 2

### Practice Exam 1: 147 Altgeld Hall, Wednesday, 16th of September, 7-9pm

Practice Exam 1 - revision aid only, not a prediction.
Solutions to Practice Exam 1

Tom Cooney's homepage
 Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576