Math 270
Name_Jonathon Poe_
Lab #1
While the integral fills an area with an infinite number of rectangles and sums the areas to get
an exact area under a curve, there are many methods for finding an approximate area under a curve
as well. We will look at
Week 7 Lab
Name:
Solve where y(0) = 1 and y(0) = -1 using LaPlace Transforms
1. Step 1: Rewrite the left side of the equation using the LaPlace substitutions for y, y, and
y. See either the week 7 lecture or page 972 of the textbook for the substitutions.
Math 270
Name_Amber Gibson_
Lab #7
This week, we study Laplace Transforms, one of the most useful transforms in all of mathematics,
because it allows us to move from the differential domain to an algebraic domain, operate
algebraically to a solution, and
Math 270
Ayad Zaroura
Lab #5
Solutions of Diff. Eqns., Separation of Variables, 1st order Linear Diff. Eqns., Elementary applications
SHOW ALL WORK TO EARN FULL CREDIT. Note that providing only an answer earns
approximately 1/3 credit .
1.) Determine the
Math 270
Name: Adeniyi, Mike Adebayo
Lab #7
This week, we study Laplace Transforms, one of the most useful transforms in all of mathematics, because it
allows us to move from the differential domain to an algebraic domain, operate algebraically to a solut
Week 2 Lab
Name:
Part 1: Rules for integrating trigonometric functions
There are three rules governing how we deal
with integrals of this form.
1. If the power of the sine is odd and positive, save one
sine factor and
convert the remaining factors to cosi
Week 1 Lab
Name:
Part I - Directions: For the function we are going to estimate the area under the curve using
the trapezoidal rule where n = 5 by doing the following:
1. Divide the interval into 5 equal pieces. How long is each piece? This will represent
Math 270
Name: Jonathon Poe
Lab #5
Solutions of Diff. Eqns., Separation of Variables, 1st order Linear Diff. Eqns., Elementary applications
SHOW ALL WORK TO EARN FULL CREDIT. Note that providing only an answer earns
approximately 1/3 credit .
1.) Determin
Math 270
Name _Michael Shaw_
Lab #5
Solutions of Diff. Eqns., Separation of Variables, 1st order Linear Diff. Eqns., Elementary applications
SHOW ALL WORK TO EARN FULL CREDIT. Note that providing only an answer earns
approximately 1/3 credit .
1.) Determi
Week 2 Lab
Name_Sara Wilson_
Part 1: Rules for integrating trigonometric functions
There are three rules governing how we deal with integrals of this form.
1. If the power of the sine is odd and positive, save one sine factor and
convert the remaining fac
Math 270
Name: Adebayo Mike Adeniyi,
Lab #6
Higher order homogeneous and non-homogeneous Differential Equations, with distinct,
repeated, or complex roots
Show all work for full credit.
1.)
y + 7y+ 12y = 0
The characteristic equation for this homogeneous
Math 270
Name:
Lab #2
Week 2 Topics: Trigonometric Identities and powers of trigonometric functions, inverse trigonometric functions,
integration by parts, trigonometric substitution, Partial Fraction decomposition, and integration using tables.
SHOWALL Y
Math 270
Name:Lab #1
While the integral fills an area with an infinite number of rectangles and sums the areas to get
an exact area under a curve, there are many methods for finding an approximate area under a curve
as well. We will look at three methods,
Math 270
Name:
Lab #5
Solutions of Diff. Eqns., Separation of Variables, 1 st order Linear Diff. Eqns., Elementary
applications
SHOW ALL WORK TO EARN FULL CREDIT. Note that providing only an answer earns
approximately 1/3 credit .
1.) Determine the order
Math 270
Name: _Ayad Zaroura_
Lab #2
Week 2 Topics: Trigonometric Identities and powers of trigonometric functions, inverse trigonometric
functions, integration by parts, trigonometric substitution, Partial Fraction decomposition, and
integration using ta
Week 5 Lab
Name
Part I: Separable Differential Equations
1. What is meant by separable? What should you look for in a differential equation to decide if it is
separable or not?
2. Is separable? If so, how can it be separated? Hint: Remember that .
( dy(x)
Math 270
Ayad Zaroura
Lab #6
Higher order homogeneous and non-homogeneous Differential
Equations, with distinct, repeated, or complex roots
Show all work for full credit.
1.)
y + 7y+ 12y = 0
The characteristic equation for this homogenous differential equ
Math 270
Name: Jonathon Poe
Lab #7
This week, we study Laplace Transforms, one of the most useful transforms in all of mathematics,
because it allows us to move from the differential domain to an algebraic domain, operate
algebraically to a solution, and
Math 270
Ayad Zaroura
Lab #7
This week, we study Laplace Transforms, one of the most useful transforms in all of mathematics,
because it allows us to move from the differential domain to an algebraic domain, operate
algebraically to a solution, and then t
Math 270
Michael Smith
Lab #2
Week 2 Topics: Trigonometric Identities and powers of trigonometric functions, inverse trigonometric
functions, integration by parts, trigonometric substitution, Partial Fraction decomposition, and
integration using tables.
S
Math 270
Name: _Ayad Zaroura_
Lab #1
While the integral fills an area with an infinite number of rectangles and sums the areas to get
an exact area under a curve, there are many methods for finding an approximate area under a curve
as well. We will look a
Math 270
Name:
Lab #3
Topics: Series, Operations, and Computations with Series, Maclaurin, Taylor
SHOW ALL OF YOUR WORK AND highlight your answers. Note that an answer without
supporting steps earns approximately 1/3 credit.
1.)
Find the first 5 terms of
Math 270
Name:
Lab #6
Higher order homogeneous and non-homogeneous Differential Equations, with distinct,
repeated, or complex roots
Show all work for full credit.
1.)
y + 7y+ 12y = 0
The characteristic equation for this homogeneous differential equation
Math 270
Name:
Lab #4
The Taylor and Fourier Series are among the most important ideas in mathematics that you will
encounter during this class. Remember to SHOW ALL YOUR WORK TO EARN FULL CREDIT,
because providing only the answers will earn approximately
Math 270
Name: Jonathon Poe
Lab #4
The Taylor and Fourier Series are among the most important ideas in mathematics that you
will encounter during this class. Remember to SHOW ALL YOUR WORK TO EARN
FULL CREDIT, because providing only the answers will earn
Week 7 Lab
Name_Sara Wilson_
Solve where y(0) = 1 and y(0) = -1 using LaPlace Transforms
1. Step 1: Rewrite the left side of the equation using the LaPlace substitutions for y, y, and
y. See either the week 7 lecture or page 972 of the textbook for the su
Week 4 Lab
Name_Sara Wilson_
Part I: Taylor Series
Directions: Determine the Taylor Series for the following function: for n = 4 where a = 1
1. Determine the first four derivatives of
2. Evaluate and the derivatives above at x = a = 1
-2
2*2=4
-2*2*3=-12
Week 5 Lab
Name_Sara Wilson_
Part I: Separable Differential Equations
1. What is meant by separable? What should you look for in a differential equation to
decide if it is separable or not?
The separable differential equation form is :
To solve a separabl
Math 270
Name: Andrew Sinon
Lab #4
The Taylor and Fourier Series are among the most important ideas in mathematics that you will
encounter during this class. Remember to SHOW ALL YOUR WORK TO EARN FULL CREDIT,
because providing only the answers will earn
Math 270
Name: Andrew Sinon
Lab #3
Topics: Series, Operations, and Computations with Series, Maclaurin, Taylor
SHOW ALL OF YOUR WORK AND highlight your answers. Note that an answer without
supporting steps earns approximately 1/3 credit.
1.)
Find the firs
Math 270
Name: Andrew Sinon
Lab #5
Solutions of Diff. Eqns., Separation of Variables, 1 st order Linear Diff. Eqns., Elementary
applications
SHOW ALL WORK TO EARN FULL CREDIT. Note that providing only an answer earns
approximately 1/3 credit .
1.) Determi
Math 270
Name: Andrew Sinon
Lab #1
While the integral fills an area with an infinite number of rectangles and sums the areas to get
an exact area under a curve, there are many methods for finding an approximate area under a curve
as well. We will look at
Math 270
Name: Andrew Sinon
Lab #7
This week, we study Laplace Transforms, one of the most useful transforms in all of mathematics,
because it allows us to move from the differential domain to an algebraic domain, operate
algebraically to a solution, and