Mathematics for Engineering: Calculus
Chapter 4: APPLICATIONS OF DERIVATIVES
Department of Mathematics, FPT University
Contents
4.1. Related Rates
4.2. Linear Approximations and Differentials
4.3. Maxima and minima
4.4. The Mean value theorem
4.5. Derivat
Mathematics for Engineering: Calculus
Chapter 1: INTEGRATION
Department of Mathematics, FPT University
Contents
1.1 Approximating Areas
1.2 The Define Integral
1.3 The Fundamental Theorem of Calculus
1.4 Integration Formulas and
the Net Change Theorem
1.5
Mathematics for Engineering: Calculus
Chapter 2: LIMITS
Department of Mathematics, FPT University
LIMITS
2.1
A Preview of Calculus
THE TANGENT PROBLEM
Example 1
We know that the slope of the secant line PQ is
x 1
mPQ
x 1
2
How to find an equation of the
Mathematics for
Engineering: Calculus
Chapter 3: DERIVATIVES
Department of Mathematics, FPT University
DERIVATIVES
3.1
Defining the Derivatives
In this section, we will learn:
How the derivative can be interpreted as a rate
of change in any of the science
Mathematics for Engineering: Calculus
Chapter 5: Sequences and Series
Department of Mathematics, FPT University
Mathematics for Engineering: Calculus
Topics:
5.1 Sequences
5.2 Infinite Series
5.3 The Divergence and Integral Tests
5.4 Comparision Tests
Mathematics for Engineering: Calculus
Chapter 6: Power Series
Department of Mathematics, FPT University
Introduction
Topics :
6.1 Power series and Functions
6.3 Taylor and Maclaurin series
6.1 Power series and Functions
Definition
Definition
Power
Powe
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Mathematics for Engineering: Calculus
Chapter 1: Function and Graphs
Department of Mathematics, FPT University
Mathematics for Engineering: Calculus
Chapter 1: Function and Graphs
Objectives
Four ways to represent a function
Basis functions and the tran
Chapter 5
The vector space R
n
Contents
5.1 Subspaces and Spanning sets
5.2 Independence and Dimension
5.3 Orthogonality
5.4 Rank of a Matrix
Subspace of Rn
Definition of subspace of Rn.
Let U be a subset of Rn
U is called a subspace of Rn if:
S1.
CALCULUS
Chapter 1: Function and limit
Objectives
Four ways to represent a function
Basis functions and the transformations of functions
Calculating limits of functions
(limits at a point, limits involving Infinity)
Verifying continuity of a function
League of Legends (LOL) is a famous game Moba worldwide. LOL is a
game that is no stranger to gamers. But lately, LOL has not released new
characters, they edited the old character. That slows them down. However, they
have clarified the question of public
Name: Ngc Duy (Ngop Zue)
Subject: PC1285-Writing Essay 2 (Ngop Zue)
An experience that taught me a lesson
On life, people have best skill of them self. So, that made people to become more arrogant.
For example, i was like that. I was an arrogant. Although
ENT303 - SPEAKING TOPICS
UNIT 1:
1. If foreigners come to Vietnam and ask you about Vietnamese culture, what
are three things you should tell them?
(In Viet Nam have a lot of different culture. I will talk with you about three
culture. First, I with talk
ng Quc Thi (BigBoy)
PC1284
Long story of Tu
Last night, I had a nightmare. In my dream, Im sleeping and suddenly I heard
knock, knock outdoor, I opened the door and saw An Three with a knife, He said: I
will kill you If you do not love me and I said, Im
Unit 1
Cu 1:
*people plan for everything
-You should plan for everything. Plan for the family, for work and for yourself.
When you have a full plan. Your life will be softer
*they should protect health
-You should not do too much work. Take care of your h
Slide 1:
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quan im vn ho v vn ho c th dn n nhng hiu lm, thnh kin v
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ENT503 - SPEAKING QUESTIONS
Unit 1:
1. Talk about a goal or dream you want to make sure to do in your life. Why
is it important to you? What steps will you take or have you taken to
achieve this goal?
- Being a best coder.
+ Step 1: Study hard => Pass Eng
Trn Trung Tn ( Tin )
PC1284
A comedy story
Last night, I had a nightmare. In my dream, Im sleeping and suddenly I heard
knock, knock outdoor, I opened the door and saw An Three with a knife, He said: I
will kill you If you do not love me and I said, Im s
2. List and briefly define the possible states that define an instruction execution.
Instruction address calculation(iac): Determine the address of the next instruction to be executed.
Instruction fetch (if): Read instruction from its memory location into
ENT303 - SPEAKING TOPICS
UNIT 1:
1. If foreigners come to Vietnam and ask you about Vietnamese culture, what
are three things you should tell them?
Answer
iwillsay.First,IamtakingaboutAoDai,thatisVNfashionforVNpeople,but
nowadaysmainlyforwomen. Aodaiisusu
ENT303 - SPEAKING TOPICS
UNIT 1:
1. If foreigners come to Vietnam and ask you about Vietnamese culture, what
are three things you should tell them?
2. What are some dos and donts for table manners in your country / city /
hometown? (In Viet Nam, do: share
1(violet film). I agree with that statement
Because children are obsessed by scene violent on film, game and book
Example, before child killed grandfather and he said his grandfather will
revive like in game. That is sequel of game online and games name i
Name: Ngc Duy (Duy)
Subject: PC1284 (Summit1)
Unit Test Writing
"The way you dress affects how people perceive you, so it's important to dress
well."
What is the way dress? Nowadays, people recognize you by your dress.
Clothes are things of people and peo
Name: Ngc Duy (Ngop Zue)
Subject: Final Writing Essay: Globalization (Ngop Zue)
Impact of globalization
What is globalization? Globalization is causing more problems than it is solving
with some people. With me, globalization is chance and globalization c
Name: ng Quc Thi (BigBoy)
Subject: PC1284 (Summit 1)
Comparing TWO peoples taste in fashion
My friend Phat and I are big ones. However, we have different styles of
fashion. For that reason, I want to compare the fashion style between me and my
friend.
Fir
Name: Ngoc Duy (Ngop Zue)
Subject: PC1285-Writing Essay 3 (Ngop Zue)
Today, I will write next part story of writing essay 2. My story can bore but
with me, that is part of making myself. That is a story which I never forget. I
continue the story
After des
Name: Ngc Duy (Ngop Zue)
PC1285-Biography Writing
In the life, listening to music made people feel more comfortable. A person
can made a music. He is genius. I like listening to music . The kind of music what I
like best is Electronic music and my idol is