MATHEMATICAL
METHODS IN
ENGINEERING
Definition of Laplace Transform
Transforms and Special Functions
Laplace Transforms
Definition:
Example: Find the Laplace Transform
of f(t) = 1
What is f(t)?
Remember how to integrate improper integrals. Well shortcut

Irony
It is a figure of speech in which
words are used in such a way that
their intended meaning is different
from the actual meaning of the words.
In simple words, it is a difference
between the appearance and reality.
Verbal Irony involves what one doe

Justine Caroline L. Guzman
August 11, 2016
Diagnostic Essay
Iloilo Most Shabulized
Our newly elected leader, President Rodrigo Duterte promised the people that he will reduce the
drug problems in our country. In just a span of a month after he was inaugur

Revising
Sentences for
Correctness
The Disagreement Problem
The simple-predicate agrees with the simple
subject in number.
TO
AGREE
TO BE
TO HAVE
TO DO
I
agree
am
have
do
We, You,
They
agree
are
have
do
He, She, It
agrees
is
has
does
They
agree
are
have

Figures of Speech
Group1
Alliteration, Allusion, Amplification, Analogy, Anaphora, Antimetabole, Antithesis,
Antiphrasis, Antanagoge
Alliteration
Alliteration is therepetitionof the same consonant sounds at
the beginning of words that are in close proximi

CO-CORRICULAR ACTIVITIES
School Year 2015-2016
LEVEL OF
PARTICIPATION
RANK
COACH/ADVISER
School Science Quiz
School
3rd
Lalaine M. Jungco
School Mini Science Fair
School
Participatio
n
Lalaine M. Jungco
2015 Mathematics Teachers
Association Of The Philipp

Group Four Reporting
Parallelism
The use of components in a sentence that are grammatically the same;
or similar in their construction, sound, meaning or meter. The use of
parallel structures in speech or writing allows speakers and writers to
maintain a

C Introduction
Lecture 1, Math 153
Prepared by: Ara Abigail E. Ambita, UP Visayas
C Programming: An Introduction
General-purpose
procedural
C Programming: An Introduction
Easy to learn
Structured language
Produces efficient programs
Can handle low-level a

CO-CORRICULAR ACTIVITIES
School Year 2015-2016
LEVEL OF
PARTICIPATION
AREAS/ACTIVITIES
RANK
COACH/ADVISER
SIGNATURE
DATE
SIGNED
DOCUMENTARY EVIDENCES
PRESENTED/ATTACHMENTS
Official Activities And Competitions
Prepared And Submitted By:
Signature Over Prin

CO-CORRICULAR ACTIVITIES
School Year 2015-2016
LEVEL OF
PARTICIPATION
AREAS/ACTIVITIES
RANK
COACH/ADVISER
SIGNATURE
DATE
SIGNED
DOCUMENTARY EVIDENCES
PRESENTED/ATTACHMENTS
1.Official Activities And Competitions
Prepared And Submitted By:
Signature Over Pr

MATHEMATICAL
METHODS IN
ENGINEERING
Half Range Functions
Half-Range Functions
Even
Function
A function f(t) is an even function if
for every t, f(t) = f(-t)
The graph of an even function is
symmetrical w/ respect to the vertical
axis (can be folded leng

MATHEMATICAL
METHODS IN
ENGINEERING
Fourier Series Expansion
Fourier Series
Expansion
Periodic
Functions
If a function satisfies f(t) = f(t + 2p),
the function is said to be a Periodic
Function
The minimum value of 2p (for all t) is
called the period of

MATHEMATICAL
METHODS IN
ENGINEERING
Laplace Transforms of Derivatives
Derivatives of Laplace Transforms
Inverse Laplace Transforms
Laplace Transforms
Laplace
Transforms of Derivatives
Example: Find the Laplace Transform
of f(t)
Integration by parts.
Reme

MATHEMATICAL
METHODS IN
ENGINEERING
Solution to Differential Equations using
Laplace Transforms
Laplace Transforms
Recall:
Laplace Transforms of
Derivatives
In general:
Or just remember this:
Solution to Differential
Equation using Laplace
Transforms
Gi

MATHEMATICAL
METHODS IN
ENGINEERING
Solution to Simultaneous Linear
Differential Equations with Constant
Coefficients
Solution to Simultaneous Linear
Differential Equations with
Constant Coefficients
Recall:
General Form of LDE w/ CC:
Example:
Now, we

INTRODUCTION
Background of the Study
In our society, more people are attacked by a variety of diseases. In medicine, relevant
skin diseases seriously affect people's health. Skin disease is now one of the major diseases that
our society has. Most common o