**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

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.

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

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

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

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.

Solutions to PracticeExam 2

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 |