Homework 1 (2.1-2.7)
1.
2. Evaluate the limit, if it exists
3. Determine the infinite limit.
4. Evaluate the limit, if it exists.
5.
6. Determine the infinite limit.
7. Explain why the function is discontinuous at the given number a. Sketch the graph of t
Homework 2 (2.8-3.4)
Find the derivative of the function using the definition of derivative. State the domain of the
function and the domain of its derivative.
1.
2.
Differentiate the function. Simplify your answer completely.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Journal 8
Due by Thursday, 4/6/2017, 11:59 PM
Answer each of the following parts. If you miss parts you will miss points. Parts 1
through 9 worth 1 point each. Question 13 worth 4 points. Other questions worth 2
points. In the end your score will be norma
Math 1061/1060 MIDTERM #1
Thursday, September 22nd
No calculators of any kind allowed
Learning goals:
Understand the concept of limit of a function and learn the properties of limits.
Understand the concept of continuity of a function at a point and over
9.8 Power Series
Objectives:
1. Understand the definition of a power series.
2. Find the radius and interval of convergence of a power series.
3. Determine the endpoint convergence of a power series.
4. Differentiate and integrate a power series.
Power Se
9.7 Taylor Polynomials and Approximations
Objectives:
1. Find polynomial approximations of elementary functions and compare them with the elementary functions.
2. Find Taylor and Maclaurin polynomial approximations of elementary functions.
3. Use the rema
9.10 Taylor and Maclaurin Series
Objectives:
1. Find a Taylor or Maclaurin series for a function.
2. Find a binomial series.
3. Use a basic list of Taylor series to find other Taylor series.
Taylor Series and Maclaurin Series:
1. If a power series converg
9.9 Representation of Functions by Power Series
Objectives:
1. Find a geometric series that represents a function.
2. Construct a power series using series operations.
Geometric Power Series:
Consider the function f(x) = 1/(1-x).
This function closely re
Homework 5 Monday, November 14th
MATH1061
Problem 1:
PLEASE SHOW YOUR WORK.
Find f
(a) f 00 (x) = ex 2 sin x, f (0) = 3, f (/2) = 0
1
(b) f 00 (t) = t2 + 2 , t > 0, f (2) = 3, f 0 (1) = 2
t
Problem 2:
PLEASE SHOW YOUR WORK
(a) A partical is moving with th
Homework 1 Tuesday, September 6th
MATH1061
Problem 1:
PLEASE SHOW YOUR WORK.
For the function f whose graph is shown below, state the following
(a) lim f (x)
(b) lim f (x)
(d) lim f (x)
(e) lim+ f (x)
x7
x6
Problem 2:
x3
(c) lim f (x)
x0
x6
PLEASE SHOW YO
Homework 2 Tuesday, September 20th
MATH1061
Problem 1:
PLEASE SHOW YOUR WORK.
If a ball is thrown into the air with a velocity of 40f t/s, its height (in feet) after t seconds is
given by y = 40t 16t2 . Find the velocity when t = 2.
Problem 2:
PLEASE SHOW
MATH1061Homework 4
DUE ON FRIDAY, OCTOBER 21st , 2016
1. Section 4.1: 50 on page 284.
2. Section 4.2: 12 on page 292
3. Section 4.3: 37 (a, b, c) on page 302
4. Section 4.4: 25 on page 311 and 59 on page 312
SUGGESTION PROBLEMS
1. Section 3.9: 112 on page
Homework 6 Monday, November 30th
MATH1061
Problem 1:
PLEASE SHOW YOUR WORK.
Evaluate the following indefinite integrals
Z
Z
p
(a)
y 2 (4 y 3 )2/3 dy
(b) x3 x2 + 1 dx
Z
Z
(ln x)2
sin x
(c)
dx
(d)
dx
x
1 + cos2 x
Problem 2:
PLEASE SHOW YOUR WORK
Evaluate th
Math 1061/1060 FINAL EXAM
Thursday, December 8th, 10:30 am 12:30 pm
No calculators of any kind allowed
NEW Learning goals:
Understand integrals geometrically and physically.
Know and apply the Fundamental Theorem of Calculus.
Understand the connect
Homework 3 Tuesday, October 4th
MATH1061
Problem 1:
PLEASE SHOW YOUR WORK.
Find the derivative of the function
2 3x
4
(b) F (t) = (3t 1) (2t + 1)
(a) x e
(d) y =
Problem 2:
p
1 + xe2x
3
r
(c) y =
x
x+1
(e) y = esin 2x + sin(e2x )
PLEASE SHOW YOUR WORK
Fin
1
Journal 4 - due by Thursday February 16th, 11:59 pm
Journal Format On white paper, you must write neatly or type
using a program that correctly typeset math symbols. Then scan
your work, double check the clarity of the scanned document and
make sure tha
Journal 3 - due by Thursday February 2nd, 11:59 pm
Journal Format On white paper, you must write neatly or type using a
program that correctly typeset math symbols. Then scan your work, double
check the clarity of the scanned document and make sure that t
Journal 6 10 points once normalized.
Consider the function
1
1
y x 5 x 4 2x3 7
5
4
Answer questions 1 through 10. In addition to showing all steps, you must
include a table similar to the one in textbook example 7
1. Compute the first derivative
2.
3.
4.
Journal 1- due by 1/19/2017, 11:59 pm
Journal Format On white paper, you must write neatly or type using a program that
correctly typeset math symbols. Then scan your work, double check the clarity of
the scanned document and make sure that the image is r
Introduction to Macroeconomics
Economics 1002
Business Cycles Continued
4-1
Aggregate Demand and Supply Model
for Understanding Business Cycles
This macroeconomic model shows how the macro economy
works, especially business cycles, and it consists of agg
Introduction to Macroeconomics
Economics 1002
Inflation
4-1
Inflation
We recognize inflation as the second of the two
major macroeconomic problems we can face (the
first was unemployment).
Inflation is an increase in the average level of prices.
Deflat
Introduction to Macroeconomics
Economics 1002
Unemployment
4-1
Unemployment
We recognize unemployment as one of the
two major macroeconomic problems we can
face. (The second one is inflation.)
4-2
The Labor Force
Adult civilian population: all noninstit
MET 3051
MATH APPLICATIONS
Class and office time
Class: Monday, Wednesday, Friday 1:25 2:20 PM
Office: 615A Victory Pkwy
Email: [email protected]
Communications:
Class & Blackboard
Class announcements
One-on-one emails, office hours
Course Descriptio
Introduction to
Differential
Equations
Terms and Definitions
Objectives
Identify and classify differential equations
Solutions of DE
Verification of solutions
What is a differential equation (DE)
Phenomena has to be explained in a mathematical way.
It bec
Introduction to Macroeconomics
Economics 1002
The Public Sector Continued
4-1
4.Efficiency versus Equity
The Problem
Markets are efficient at allocating
goods and services. Everyone who
Is able and willing to buy the good or
service at Pe is able to have
Introduction to Macroeconomics
Economics 1002
Unemployment Continued
4-1
Defining Full Employment
Full employment is not the same as zero unemployment.
There are four categories of unemployment.
Seasonal unemployment.
Frictional unemployment.
Structu
Introduction to Macroeconomics
Economics 1002
Business Cycles
4-1
Business Cycles
Macroeconomics tries to explain what causes the recurrent
ups and downs in real GDP - known as business cycles.
Business cycles have alternating periods of economic growth
Introduction to Macroeconomics
Economics 1002
National Income Accounting
4-1
Nominal GDP
GDP is defined as the market value of all final goods and services
produced domestically in a given year
Nominal GDP is measured in the prices of that period (curre