21-111 Differential Calculus Fall, 2015
Carnegie Mellon University in Qatar
Instructor:
Professor Oliver
Office:
1175
Office Phone: 4454-8615
Office Hours:
Posted On Office Door
It is your responsibil
21-111 Differential Calculus, Fall 2015
Week 1:
Chapter 1 - Functions and Models
August 23 30
1.1 Four Ways to Represent a Function
1.2 Mathematical Models: A Catalog of Essential Functions
1.3 New Fu
Assignment 1
Due on Thursday, January 21, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please rst read
Section 7.2 in textbook and then complete this assignment.
Assignment 4
Due on Thursday, February 18, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please rst read
section 7.8, 8.1, 9.1, 9.2 and 9.3 in textbook and then co
Assignment 6
Due on Thursday, March 17, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please first read
section 10.1 and 10.2 in textbook and then complete this as
Assignment 10
Due on Thursday, April 28, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please first read
section 11.1, 11.2, 11.4, 11.8 and 11.9 in textbook and th
Assignment 2
Due on Thursday, January 28, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please first read
section 7.3 in textbook and then complete this assignment
Assignment 8
Due on Thursday, March 31, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please first read
section 10.3 and 12.1 in textbook and then complete this as
Assignment 5
Due on Thursday, February 25, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please rst read
section 9.1 and 9.3 in textbook and then complete this ass
Assignment 9
Due on Thursday, April 21, 2016, before recitation
This assignment includes 14 problems, 100 points in total. Please first read
Chapter 11 and Chapter 12 in textbook and then complete thi
Assignment 7
Due on Thursday, March 24, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please first read
section 10.2 and 10.3 in textbook and then complete this as
Assignment 3
Due on Thursday, February 4, 2016, before recitation
This assignment includes 10 problems, 100 points in total. Please first read
section 7.4 in textbook and then complete this assignment
gear
Name -_____1___m___1____i____i__1____i____1___
Department of Mathematical Sciences
CARNEGIE MELLON UNIVERSITY
21122 Integration, Different
Test 3: April 22, 2014
ial Equations, and Approximat
Test 2 Key Concepts:
Newtons Method 4.8
If given a function, f(x) use:
x(n+1)=xn- (f(xn) / f(xn)
Eulers Method 9.2
If given the initial value : y=F(x,y)
Integration and Approximation
Test 3
Closed book and notes. No calculators or any other electric device. Show your work!
problem points score
1
20
2
10
3
15
4
15
5
25
6
15
total
100
Name:
Andrew ID:
S
Integration and Approximation
Test 2
Closed book and notes. No calculators or any other electric device. Show your work!
problem points score
1
10
2
10
3
10
4
10
5
20
6
20
7
20
total
100
Name:
Andrew
Convergence of series
The p-series.
1
np
is convergent if p > 1 and divergent if p 1.
a rn1 is convergent if |r| < 1 and divergent if |r| 1.
The geometric series.
Test for Divergence. If limn an = 0 o
Summary for test1
1. Integration Formula (constants are omitted)
xn dx =
xn+1
n+1
(n = 1)
ex dx = ex
1
dx = ln |x|
x
sin x dx = cos x
sec2 x dx = tan x
cos x dx = sin x
csc2 x dx = cot x
sec x tan x d