Syllabus for MAT-321
LINEAR ALGEBRA
COURSE DESCRIPTION
This course provides the basics and applications of matrix theory and linear
algebra. Emphasis is given to topics that will be useful in other disciplines,
including vector spaces, linear transformati
Syllabus for MAT-332
CALCULUS IV
COURSE DESCRIPTION
Calculus IV is an intensive, higher-level course in mathematics that builds on
Calculus II and III. The course aims at serving the needs of a wide student
audience, including students in engineering, mat
Syllabus for MAT-331
CALCULUS III
COURSE DESCRIPTION
Calculus III is an intensive, higher-level course in mathematics that builds on
Calculus II. The course aims at serving the needs of a wide student audience,
including students in engineering, mathemati
Syllabus for MAT-232
CALCULUS II
COURSE DESCRIPTION
Calculus II is an intensive, higher-level course in mathematics that builds on
Calculus I. The course aims at serving the needs of a wide student audience,
including students in engineering, mathematics,
Syllabus for MAT-361
COLLEGE GEOMETRY
COURSE DESCRIPTION
Geometry presents a formal and fundamental development of neutral and
Euclidean geometry with an emphasis on valid arguments. Non-Euclidean
geometry will also be investigated. The course begins with
March 31, 2013
Section 2.1
8. Use definition 1.1 to find an equation of the tangent line to y=f(x) at x=a. Graph y=f(x) and
the tangent line to verify that you have the correct equation.
, a=1
f x x 3
f a h f a
h0
h
1 h 3 1 3
4 h 4
4h 2 4h 2
lim
lim
lim
April 14, 2013
Section 2.8
Find the derivative y(x) implicitly.
10.
4y
10 x 2
x2
4y
3x y 3 10 x 2
x2
3
x 2 3x y 10 x 2 4 y
3x y 3
3x 2 y 3 x 10 x3 6 x 2 y 3 20 x 2 4 y
10 x3 17 x 2 6 x y 3 x 2 y 3 4 y
d
10 x3 17 x 2 6 x 30 x 2 34 x 6
dx
d
y3 x 2 y3
May 01, 2013
Section 4.1
Find the general anti derivative
16.
cos x
2
sin x dx cos x(csc x)dx sin x cot x c c cos x
18.
4 x 2e dx 2 x
x
2
2e x c
22.
4x
1
3
3
3
dx 1 x 2 tan 1 x c
4
4
4
2
38. Find the function f(x) that satisfys the given conditions.
f
April 27, 2013
Section 2.10
4. check the hypothesis of Rolles Theorem and the Mean Value theorem and find a value of c
that makes the appropriate conclusion true. Illustrate the conclusion with a graph.
f x sin x, , 0
f sin 0
f 0 sin 0 0
, 0
f(x) is a t
March 23, 2013
Section 1.4
Determine where
f
is continuous; if possible extend f as in example 4.2 to a new function that
is continuous on a larger domain.
4.
4x
4x
f x 2
x 2 2 x 2 x 1
Has a removable discontinuity at
8.
f x x cot x x
and
x 2
cos x
sin x
April 04, 2013
Section 2.3
Differentiate each function
8.
3
h( x ) 12 x 2
x2
d
d
d 3
12 x 2
dx
dx
dx x 2
h '( x ) 0 2 x 3x 2
3
h '( x ) 2 x 2
x
h '( x )
10.
f (t ) 3t 2t 1.3
d
d
t 2 t 1.3
dx
dx
1
f '(t ) 3 t 2.6t .3
f '(t ) 3
12.
f x
3
1
1
4x2 x 3 4
May 17, 2013
Section 5.1
Find the area between the curves on the given interval
2.
y cos x, y x 2 x, 0 x 2
2
A x 2 2 cos x dx
0
4.
x3
2 x sin x
3
2
0
2
0 3
2 2 sin 2
2 0 sin 0 5.76
3
3
3
y e x , y x 2 ,1 x 4
4
x3
A x e dx e x
3
1
2
4
x
20.65
1
Sk
March 07, 2013
Section 0.1
22. Find a second point on the line with slope m and point P. Graph the line and find an
equation of the line.
,
1 P 2,1
m
4
m
y2 y1
x2 x1
y 1 y2 1
1 y2 1
2
4 2 2
22
4
y2 0
the second ordered pair is 2, 0
y m x xo yo
1
x 2 0
March 17, 2013
Section 1.2
6. Use numerical and graphical evidence to conjecture values for each limit. If possible use
factoring to verify your conjecture.
2 x
lim
x 2 x 2 2 x
x
-1
-1.5
-1.75
-1.9
-1.99
-2.1
y
-.333
-.666
-.571
-.526
-.503
-.476
2 x
2 x
11 May, 2013
Section 4.5
Use part 1 of the fundamental theorem to compute each integral exactly.
10.
2
2
4
4
3csc x cot xdx 3csc x
3csc
3csc x 3 2 3
2
4
14.
1
4 4 2
4 4
1
1
4
1
1 1 x 2 dx 4 tan x
18.
t
sin
2
0
t
t
0
0
x cos x dx 1dx x
t
2
36. Find
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.: WA 2
Semester and year: February 2014
Written Assignment 2
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 1.
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:
Semester and year: Feb 2014
Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 2.10
4. Chec
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.: WA3
Semester and year: Feb 2014
Written Assignment 3
Answer all assigned exercises, and show all work. Each exercise is worth 4 points.
Section 2.1
8. U
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:?
Semester and year: FEB14
Written Assignment 1
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 0.1
22. Find a
Name: Jonathan Sword
College ID:0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:
Semester and year:Feb2014
Written Assignment 5
Answer all assigned exercises, and show all work. Each exercise is worth 4 points.
Section 4.1
16. Find th
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:
Semester and year: Feb 2014
Written Assignment 6
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 5.1
2. Find
4.1-40
Find the function f(x) that satisfies the given conditions.
4.4-28
Compute the average value of the function on the given interval.
4.5-56
Find the average value of the function on the given interval.
4.6-30
Evaluate the indicated integral.