Math 220 AD9: Merit Calculus 1 Spring 2009

Lecturer: Professor Rosenblatt

Lecture Hall: 314 Altgeld Hall

Lecture Time: 1:00-1:50pm Monday, Wednesday, Friday

Merit TA: Tom Cooney

Merit Room: 173 Altgeld

Time: 9:00-10:50am Monday, Wednesday, Friday

Office: 150 Altgeld Hall


Office Hours: Tuesdays at 3pm in 173 Altgeld (or at other times by appointment in 150 Altgeld)

Merit Practice Final Exam: 145 Altgeld Hall, Sunday, May 10th at 4 pm

Warnings: This is a study aid and not a prediction of what will be on the exam. There will be things on the final exam that are not on this practice exam -- there is only so much we can cover in one review session.

Review Sheet for Final Exam

Solutions (complete with mistakes!) In the related rates problem (14), I crazily used surface area instead of volume -- the volume of a cylinder is, of course, (pi)r2h not 2(pi)rh.

Practice Exam 4

Practice Exam 4 Solutions

Practice Exam 2

Practice Exam 2 Solutions

Solutions to Quiz 3
Solutions to Quiz 4
Solutions to Quiz 5
Solutions to Quiz 6
Solutions to Quiz 7
Solutions to Quiz 8
Solutions to Quiz 9
Solutions to Quiz 10

Logarithmic and Implicit Differentiation

Implicit Differentiation can also be used to find the derivatives of inverse trigonometric functions.
y=arcsin x
sin y = x
We can now differentiate and solve for y'. We would then use a right triangle to get our answer in the form y'=1/(&radic (1-x 2)).

Composing functions & the domains of functions (based on exam 1)

Limits at Infinity.

Practice Exam 1
Practice Exam 1 solutions There is a mistake in my solutions. The answer to 2(b) is 4/7 - I very carelessly filled in -1 instead of +1 in the last step. See whether you can do better than me on this exam.

I'm here to help! Come talk to me if you have any problems.

This is a merit workshop discussion section. For more information on the merit workshop style of learning, please see the Merit Workshop webpage.

Your grade in Math 220 will be determined as described in Professor Rosenblatt's syllabus for the course. You will also receive a separate grade for your attendance, preparation and participation during our Merit workshop meetings.

Professor Rosenblatt's webpage for this course (including homework assignments)

Syllabus for Merit Calculus 1 (Section AD9) - you should also note that to continue to Merit Calculus 2, you need to obtain a B in Math 199 and a C or higher in Math 220.
Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4 Worksheet 5 Worksheet 6 Worksheet 7 Worksheet 8
(Chapter 0 and Chapter 1: preliminaries and limits)
Worksheet 9 Worksheet 10 Worksheet 11 Worksheet 12 Worksheet 13 Worksheet 14 Worksheet 15 Worksheet 16 Worksheet 17 Worksheet 18 Worksheet 19
(Chapter 2 - Differentiation)
Worksheet 20 Worksheet 21 Worksheet 22 Worksheet 23 Worksheet 24 Worksheet 25 Worksheet 26 Worksheet 27 Worksheet 28
(Chapter 3 - Applications of Differentiation)
Worksheet 29 Worksheet 30 Worksheet 31 Worksheet 32 Worksheet 34 Worksheet 35 Worksheet 36 Worksheet 37 Worksheet 38
(Chapter 4 - Integration)
Worksheet 39 Worksheet 40 Worksheet 41 Worksheet 42
(Chapter 5 - Applications of Integration)

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