Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
22 billion,[253] 5.6 times more receipts than international tourists in
2005.
Europeans arrived.[307] Brazil's population increased significantly
between 1940 and 1970, because of a decline in themortality rate,
even though the birth rate underwent a slig
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
MAS 101 Calculus I : Midterm Exam
Apr 21, 2015
7:00 PM 10:00 PM
Spring 2015
MAS 101
Full Name :
Student Number:
Do not write in this box.
Instruction
No items other than pen, pencil, eraser and your id are allowed. You must leave all of your
belongings t
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Calculus I : Midterm Exam Solution
April 22, 2014
7:00 PM 10:00 PM
Spring 2014
MAS 101
Full Name(English):
Full Name(Korean):
Student Number:
Class Section:
Do not write in this box.
Instruction
No items other than scratch papers (given by TA), pen, penc
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
MAS 101 Final Exam Solution
7:00 PM 10:00 PM
June 17, 2014
Spring 2014
MAS 101
Full Name:
Student Number:
Class Section:
Do not write in this box.
Instruction
No items other than pen, pencil, eraser and your id are allowed. You must leave all of
your bel
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Calculus I Midterm
TA : Hojin Kim
1 Answer the following statements with TRUE or FALSE on the over sheet. You dont
27 points have to justify your answers.
(a) If f is a continuous function satisfying that f (x) = f (x) and xf (x) 1 for
R
all x, then f (
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Calculus I Final
TA : Hojin Kim
1 Answer the following statements with TRUE or FALSE on the cover sheet. You
27 points dont have to justify your answers. Correct answer 3 points, wrong answer 2 points,
no answer 0 points.
(a) If
P
n=1
(b) If both
an conv
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Calculus I Midterm
TA : Junho, Choe
1. Let f (x) = x3 + 2x2 x 2.
1(a) Find the largest interval I such that I contains 0 and f has its inverse function g on
10 points I.
Solution. We have
f (x) = (x + 2)(x + 1)(x 1) = 0 x = 2, 1, 1
f 0 (x) = 3x2 + 4x 1 =
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Calculus I Final
TA : Chulkwang Kwak
1(a) Find the set of all x that make the following power series converge.
10 points
1
X
(x + 1)2n+1
n=1
n2 n
.
Solution. This problem is graded upon two criteria. The first one is whether you solved for
the radius of c
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
MAS 101 Calculus I : Midterm Exam
7:00 PM 10:00 PM
April 23, 2013
Spring 2013
MAS 101
Full Name :
Student Number:
Do not write in this box.
Instruction
No items other than pen, pencil, eraser and your id are allowed. You must leave all of your
belongings
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
MAS 101 Calculus I : Midterm Exam
7:00 PM 10:00 PM
October 21, 2014
Fall 2014
MAS 101
Full Name :
Student Number:
Do not write in this box.
Instruction
No items other than pen, pencil, eraser and your id are allowed. You must leave all of your
belongings
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
[MAS101] Calculus I
Quiz 1 10AM ID:
Name:
1 Let f (x) = 2x3 + 3x2 + 6x + 1.
4+6
points
(a) Show that f has a dierentiable inverse.
(b) Let g be the inverse of f , and let h be a function safisfying eh(x) = g(x)
for all x > 1. Find h (12).
2 Let f (x) = xs
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Race and ethnicity in Brazil[317][318][319]
White (47.7%)
Pardo (Multiracial) (43.1%)
Black (7.6%)
Asian (1.1%)
Natives (0.4%)
Since the arrival of the Portuguese in 1500,
considerable miscegenation between Amerindians, Europeans,
and Africans has taken p
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Tanks in front of the National Congress patrol the Monumental
Axisafter the 1964 Brazilian coup d'tat.
Ulysses Guimares holding theConstitution of 1988 in his hands.
Slowly however, the wear and tear of years of dictatorial power
that had not slowed the r
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Brazilian
mdio respectively). Brazil is the first country in South America to
offer Esperanto to secondary students.[367]
Culture
Interior of the So Francisco Church and Convent in Salvador,
Bahia, one of the richest expressions of Brazilian baroque.
Main
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Brazilian Armed Forces
Brazilian Army participating in a UN peacekeeping mission
in Haiti.
NAe So Paulo, aircraft carrier of theBrazilian Navy.
The armed forces of Brazil are the second largest in Latin
America by active personnel and the largest in terms
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
rainforest in the world.
Female pantanal jaguar in Piquir River, Pantanal. The jaguar is a
wild animal typical of Brazil.
Larger mammals include carnivores pumas, jaguars, ocelots,
rare bush dogs, and foxes, and
herbivorespeccaries, tapirs, anteaters, slo
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Brazil's railway system has been declining since 1945, when
emphasis shifted to highway construction. The total length of
railway track was 30,875 km (19,185 mi) in 2002, as compared
with 31,848 km (19,789 mi) in 1970. Most of the railway system
belonged
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
parts of Brazil, in incursions that the Portuguese had to fight,
notably the French in Rio during the 1560s, in Maranho during
the 1610s, and the Dutch in Bahia and Pernambuco, during
the DutchPortuguese War, after the end of Iberian Union.[63]
The Portug
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
Brazilian Armed Forces
Brazilian Army participating in a UN peacekeeping mission
in Haiti.
NAe So Paulo, aircraft carrier of theBrazilian Navy.
The armed forces of Brazil are the second largest in Latin
America by active personnel and the largest in terms
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
MAS 101 Calculus I : Midterm Exam
7:00 PM 10:00 PM
April 23, 2013
Spring 2012
MAS 101
Full Name :
Student Number:
Do not write in this box.
Instruction
No items other than pen, pencil, eraser and your id are allowed. You must leave all of your
belongings
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2016 Fall MAS101 Calculus 1
Homework 9
Due: November 18, 2016
9.1. Prove that
1
sin
X
1 3 5 (2n 1) x2n+1
x=x+
2 4 6 (2n) 2n + 1
n=1
for all x < 1.
Hint: Use (1 x)1/2 .
9.2. Express the following polar equation into the Cartesian equation and draw its gr
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
H.W. #12
Due on October 17 Mon (pm 07:00)
Location : E11 Terman hall
1. Problems : Ch6 58, 62, 64, 66, 72
Please use a stapler to attach your homework
papers together.
2016. 10. 13
2016 Fall CH101
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
KAIST
Department of Mechanical Engineering
MAE 221 A/B/C 2016 Fall
ME 221 Fluid Mechanics Course Syllabus
Contact Information:
Section
Name
Email
Office (Phone)
A
Sung, Hyung Jin
[email protected]
N74,5114 (#3027)
B
Cho, Yeunwoo
[email protected]
N74
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
CH101: General Chemistry I
MidTerm Examination
Fall Semester 2011
Tuesday 25 October. Time: 09.0011.30 (2.5 hours)
1. (a) Calculate the maximum wavelength of electromagnetic radiation that
can promote ejection of electrons from the surface of tungsten,
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
CH101 General Chemistry Final Examination
Fall Semester 2014
Wednesday December 17
Time Limit: 19:00 ~ 21:00
Write down your answers neatly in the spaces provided below the questions; print your
Student ID in the upper righthand corner of every page.
Pro
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2012 FALL Semester Midterm Examination
For General Chemistry I (CH101)
Date: October 24 (Wed),
Time Limit: 7:00 ~ 9:00 p.m.
Write down your information neatly in the space provided below; print your Student ID in the upper
right corner of every page.
Prof
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2012 SPRING Semester Midterm Examination
For General Chemistry I
Date: March 28 (Wed),
Time Limit: 7:00 ~ 9:00 p.m.
Write down your information neatly in the space provided below; print your Student ID in the upper
right corner of every page.
Professor
Na
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2013 Fall Semester Midterm Examination
CH101 General Chemistry I
Date: October 23 (Wednesday), 2013
Time Limit: 7:00 ~ 9:00 p.m.
Write down your information neatly in the space provided below; print your Student ID in
the upper right corner of every page.
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2015 SPRING Semester Midterm Examination
For General Chemistry I
Date: April 22 (Wed),
Time Limit: 19:00 ~ 21:00
Write down your information neatly in the space provided below; print your Student ID in the upper
right corner of every page.
Professor
Name
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2016 Fall Semester Midterm
For General Chemistry I (CH101)
Date: October 22 (Sat),
Time Limit: 19:00 ~ 22:00
Student I.D. Number
Name
90 Normal Points + 8 Bonus Points
If you get 90 points out of 98 points, you will get the full 40% assigned to the midter
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2015 Fall Semester Midterm
For General Chemistry I (CH101)
Date: October 21 (Wed),
Time Limit: 19:00 ~ 21:45
Student I.D. Number
Name
75 Normal Points + 8 Bonus Points
If you get 75 points out of 83 points, you will get the full 40% assigned to the midter
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2013 SPRING Semester Midterm Examination
For General Chemistry I
Date: April 24 (Wed),
Time Limit: 7:00 ~ 9:00 p.m.
Write down your information neatly in the space provided below; print your Student ID in the upper
right corner of every page.
Professor
Na
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2016 Fall MAS101 Calculus 1
Homework 5
Due: October 7, 2016
5.1. Determine all values of p for which the integral converges and evaluate the integral for
those values of p.
Z
1
dx.
(a)
x(ln x)p
e
Z e
1
(b)
dx.
p
1 x(ln x)
Z 1
(c)
xp ln x dx.
0
Z
b
x
dx =
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2016 Fall MAS101 Calculus 1
Homework 2
Due: Sep. 22 11:59PM, 2016
2.1. Find an equation of the curve that passes through the point (0, 1) and whose slope at
x
(x, y) is xey .
2.2. Solve the following differential equations. (Write y as a function of x.)
(
Korea Advanced Institute of Science and Technology
MATH 101

Spring 2011
2016 Fall MAS101 Calculus 1
Homework 10
Due: November 25, 2016
10.1. (a) Draw the graph of the curve described by the following polar equation and find
its length.
2
r = cos
2
(b) Draw the graph of the curve described by the following polar equation and