Math 182 - Calculus II - The Pre-calculus & Calculus I Review Worksheet - Spring 2012
Worksheet Zero
Pre-calculus and Calculus I Concepts
Dr. M. P. M. M. McLoughlin
Spring of 2012
Denition: R = cfw_x| where x is a point on the line.
Let U = R for the line
MATH 182
WORKSHEET VII SPRING 2012
DR. MCLOUGHLIN
1. Let f(x) = cos(x). f: Let c = 0. Produce a Taylor Series , fT ( x) , in expanded
form (explicitly show the first five non-zero terms).
1
. g: (0, 2) Let c = 1. Produce a Taylor Series , gT ( x) , in exp
MATH 182
WORKSHEET VI
SPRING 2012
DR. MCLOUGHLIN
1. Let f(x) = cos(x). f: Let c = 0. Produce a Taylor Series , fT ( x) , in expanded
form (explicitly show the first five non-zero terms).
1
. g: (0, 2) Let c = 1. Produce a Taylor Series , gT ( x) , in expa
Math 182 Section 041 - Calculus II - Dr. McLoughlin - Spring of 2012 - Worksheet One
Worksheet One
Integration with Substitution
Dr. M. P. M. M. McLoughlin
Spring of 2012
Questions and Exercises
You may not use calculators, computers, etc. No help from an
Math 171- 351 Dr. McLoughlins Inductive Reasoning Exercise 1
S PRING 2 009
D R . P ADRAIG M C L OUGHLIN
HANDOUT 0
INDUCTIVE REASONING EXERCISES
1. The Circle Problem
Let C be a circle with radius one centred at (0,0).
Set 1. Let A1 and A2 be points on the
MATH 182 SPRING 2012
WORKSHEET II
If an answer does not exist write, "D.N.E.," in the answer blank and explain why it does not exist. Reduce
numerical results.
1. Evaluate the following:
A.
9 x2
sin
C.
E.
2x 1
2
()d
e3 x
1 e
6x
2x 1
dx
2
9
x
B.
dx
D.
dx
MATH 182 WORKSHEET V
DR. MCLOUGHLIN
SPRING 2012
1. Consider each of the following. Find each of the following using any method that is proper (reduce numerical results):
Let k
: k(n) = kn be a well defined sequence of terms;
terms
cfw_k n =1 ; and,
n
k
n
MATH 182 (041) CALCULUS II WORKSHEET III
Solve the following:
=
n=1
1. Consider
3
(n + 1)(n + 5)
A. Find the first five terms of the sequence of terms of the series.
B. Find the first five terms of the sequence of partial sums of the series.
C. Determin
MATH 182 (041) CALCULUS II WORKSHEET IV
Solve the following:
=
1. Consider
3(n + 1)
Determine if converges or diverges and state the method used to determine
3
+ n + 5)
n = 1
(n
such. If it converges find what the sum is (if such is possible (you use