Math 270
Name: _SM
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.
All o

Math 270
Name: SM Shah Newaz
i-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.) Deter

Math 270
Name: SM Shah Newaz_
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 differe

Math 270
D4048041 - Lab #1
Name: SM Shahnewaz
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 wi

Math 270
Name: SM Shah Newaz
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

Quiz 2 - MATH 270
2 cos2 (2 x)d x
1) Integral:
x+
Answer :
1 1 2 x
sin
+C
2
3
( )
x sin ( 2 x ) dx
3) Integral:
Answer:
1
1
sin ( 2 x ) x cos ( 2 x ) +C
4
2
1
4) Integral:
Answer:
sin(4x) + C
1
dx
(94 x 2)
2) Integral:
Answer:
1
4
x 2+9
ln
(
dx
)
x2
x

Math 270
Name: SM Shah Newaz
iLab - 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 f

Math 270
Name: SM Shah Newaz
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: SM Shah Newaz
iLab - 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 t