Three of the following questions will serve as problems on the nal exam: 1. Formulate the denition of lim an
n x a
2. Formulate the denition of lim f (x) 3. Prove that if lim |an | = 0, then lim an = 0.
n n
4. Formulate the squeeze theorem for sequences.
One of the following questions will serve as a problem in quiz 3:
1. What is the denition of fx (x, y )?
2. Formulate the Clairaut Theorem (about mixed derivatives).
3. Write the denition of a dierentiable function of two variables.
4. What is the dierent
One of the following questions will serve as a problem in quiz 1:
1. Prove that if nlim |an | = 0, then nlim an = 0.
2. Formulate the squeeze theorem for sequences.
3. Formulate the monotonic sequence theorem.
4. Write the formula for the sum of geometric
Three of the following questions will serve as problems on the nal exam:
1. Formulate the denition of lim an
n
2. Formulate the denition of lim f (x)
x a
3. Prove that if lim |an | = 0, then lim an = 0.
n
n
4. Formulate the squeeze theorem for sequences.
One of the following questions will serve as a problem in quiz 2:
1. Given vector a = a1 , a2 , a3 , what is its magnitude?
2. Let be the angle between vectors a and b. What is a b?
3. Let a = a1 , a2 , a3 , b = b1 , b2 , b3 . Write the formula for a b in
1. [20]
2. [20]
3. [20]
Ma 116
4. [20]
5. [20]
Quiz 2
Name :
Total: [100]
November 2, 2010
Pipeline Username :
Check your lecture :
2 A - P.Dubovski
2 B - N.Strigul
Closed book and closed notes.
You may not use a calculator, cell phone, or computer while
1. [20]
2. [20]
3. [20]
Ma 116
4. [20]
5. [20]
Quiz 2
Total: [100]
November 2, 2010
Name :
Pipeline Username :
Check your lecture :
2 A - P.Dubovski
2 B - N.Strigul
Closed book and closed notes.
You may not use a calculator, cell phone, or computer while
CALCULUS II SERIES REVIEW
ROBERT MOAKLER (RMOAKLER@STEVENS.EDU)
UPDATED SEPTEMBER 18, 2009
This sheet was made just as a study guide. To review during homework of before a test. It is in no way a definitive
guide to series in calculus and all the informat
Robert Moakler
September 28, 2009
Power Series
Most power series you encounter will be in the form of a geometric series and youll easily be
able to write the sigma notation. However, when a question asks for a power series
representation and youre stuck
1. [20]
2. [20]
Ma 116
3. [20]
4. [20]
Quiz 3
Name :
Check your lecture :
5. [20]
Total: [100]
November 30, 2010
Pipeline Username :
2 A - P.Dubovski (10:00a)
2 B - N.Strigul (12:00p)
Closed book and closed notes.
You may not use a calculator, cell phone,