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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

** **__Email:__ tcooney@math.uiuc.edu

** **__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.*

#### 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)r^{2}h not 2(pi)rh.

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

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})).
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.

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