ME Math I
Homework Assignment No. 2
Loc Khieu
Due 17 November 2016 (before class)
Problem 1
a) Find the projection of
u onto
v , and find the vector component of
u orthog
onal to
v.
i)
u = (8, 2, 0),
v = (2, 1, 1),
ii)
u = i +4k,
v =3 i +2k.
b)

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GU
Chapter 5: Multiple Integrals
AM
Duong T. PHAM
T.
PH
ADVANCED MATHEMATICS
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM
June 9, 2015
1 / 44
Outline
Doubles integrals over rectangles
2
Iterated integrals
3
Double integrals in polar

Exercises on Advanced Mathematics
Duong Thanh PHAM
June 7, 2014
2
Chapter 1
SERIES
Exercise 1. Let an =
n
.
5n + 2
1. Determine whether cfw_an is convergent.
2. Determine whether
P
n=1 an
is convergent.
Exercise 2. Similar questions as in Exercise 1 with

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GU
Chapter 2: LIMIT and CONTINUITY
AM
Duong T. PHAM - EEIT2014
T.
PH
Fundamental Engineering Mathematics II for EEIT2014
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM - EEIT2014
September 30, 2014
1 / 59
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GU
Outline
Limit of functio

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GU
Chapter 1: FUNCTIONS AND GRAPHS
HA
M
Duong T. PHAM - EEIT2014
.P
Fundamental Engineering Mathematics for EEIT2014
D.
T
Vietnamese German University
Binh Duong Campus
Duong T. PHAM - EEIT2014
September 24, 2014
1 / 55
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GU
Outline
Functions
2
Mathem

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GU
Chapter 4: Partial Derivatives
AM
Duong T. PHAM
T.
PH
ADVANCED MATHEMATICS
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM
May 15, 2015
1 / 48
Outline
Open sets in Rn
2
Functions of several variables
3
Partial derivatives
4
Tangent p

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GU
Chapter 1: SERIES
AM
Duong T. PHAM
T.
PH
ADVANCED MATHEMATICS
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM
March 19, 2015
1 / 20
Power Series
2
Taylor and Maclaurin Series
3
Taylors Inequality
D.
T.
PH
1
AM
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GU
Outline
Duong T.

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GU
Chapter 3: DIFFERENTIATION RULES
AM
Duong T. PHAM - EEIT2014
T.
PH
Fundamental Engineering Mathematics for EEIT2014
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM - EEIT2014
October 14, 2014
1 / 25
Outline
Derivatives of polynomials

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GU
Chapter 7: DIFFERENTIAL EQUATIONS
AM
Duong T. PHAM - EEIT2014
T.
PH
Fundamental Engineering Mathematics II for EEIT2014
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM - EEIT2014
December 12, 2014
1 / 23
Modelling with differential e

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GU
Chapter 6: APPLICATIONS OF INTEGRATION
AM
Duong T. PHAM - EEIT2014
T.
PH
Fundamental Engineering Mathematics II for EEIT2014
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM - EEIT2014
November 25, 2014
1 / 22
Outline
Area between cur

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GU
Chapter 5: INTEGRALS
AM
Duong T. PHAM - EEIT2014
T.
PH
Fundamental Engineering Mathematics II for EEIT2014
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM - EEIT2014
November 25, 2014
1 / 77
Outline
Area problems
2
The fundamental th

MEMathI Winter 2016, A101/2
Instructor: Loc Khieu, B110 (Computational Engineering), B loc.kh@vgu.edu.vn
Class Hours: 8:45am12pm on TWF; 1pm4:15pm on Th.
Oce Hours: W, 1:15pm4:15pm; and by email appointment.
Textbook:
1. James Stewart. Calculus. Brooks/Co

ME Math I
Homework Assignment No. 2
Loc Khieu
Due 16 November 2016 (before class)
Problem 1
a) Find the projection of
u onto
v , and find the vector component of
u orthog
onal to v : u = 8 i + 2 j and v = 2 i + j k .
b) When the projection of
u on

ME Math I
Homework Assignment No. 1
Loc Khieu
Due 18 October 2016 (before class)
Problem 1
a) Solve the following inequalities in R:
i) 2x + 5 6x 3,
ii) x2 6x + 4 > 0,
iii) |x2 2| 1.
b) Draw the areas in the xyplane that are defined by the following inequ

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GU
Chapter 6: VECTOR CALCULUS
AM
Duong T. PHAM
T.
PH
ADVANCED MATHEMATICS
D.
Vietnamese German University
Binh Duong Campus
Duong T. PHAM
June 9, 2015
1 / 57
Outline
Vector Fields
2
Line Integrals
3
The fundamental theorem for line integrals
4
Greens T