GETTING STARTED WITH MAPLE
A Maple worksheet has the following two options:
1. Performing Calculations. To start a calculation, click once the left
button of the mouse at the Maple prompt sign [>. After the prompt
sign a blinking vertical line | appears w
LAB 4:
DERIVATIVES
Part I. Interactive using Technology
1. Let
f (x) =
3x 6
x2 4
a. Find the derivative of f (x) at x = 0 algebraically, then confirm your
answer using Maple D or di command.
b. Find the equation of the tangent line to the graph of f at x
LAB 6:
Dierentiation
Part I. Problem-Solving
Do the following problems from the textbook:
Page 206: 65, 67, 69, 72, 77.
Page 215-217: 35, 43, 77.
Page 223: 43, 45, 50, 52, 55.
LAB 2:
LIMITS
Part I. Interactive using Technology
1. Investigate the following limit graphically, numerically and algebraically:
sin(x2 4)
.
x2
(x 2)
lim
2. This demonstrates the Squeeze theorem. Plot the following functions
on the same plot:
f (x) = x,
LAB 3 - MTH103
Question 1. Consider the following piecewise function:
0,
x<0
2
x,
0<x1
f (x) =
.
3
x,
1<x2
1 + 2(x 2),
x>2
Plot the graph of f using the following command and identify the points at which f is
discontinuous.
with(plots):
f := piecewise(x
LAB 8:
Applications of Derivatives
Part I. Interactive using Technology
1. For each given function:
(i) Graph f on the indicated interval and approximate the absolute extreme values.
(ii) Conrm your answer to (i) algebraically by using the closed interval
Department of Mathematics and Statistics
American University of Sharjah
Exam I — Fall 2011
MTH 103 — Calculus I
Date: November 2. 2011 ‘ Time: 5:00-6:15pm
l”.@§EI.0R SECION _" msms mm "“
Mama- _
151;.APdul Salam J arrah
‘12:. Tim Marshal
_Dr. Gregely 9305
MTH 103 Calculus 1
Midterm 2 Solutions, December 15, 2014
1. (12 points) Consider the function f (x) = x2 (16 x2 ).
(a) Find the intervals where f is increasing and where it is decreasing
1
1
1
1
y 0 = 32x 4x3 ,
32x 4x3 = 0 x = 0 or x =
2 2 or x= 2 2,
f (
AUS 1' w WNW. w
American University of Siiaijah
College of Arts and Sciences
Department of Mathematics and Statistics
MTH 103 — Calculus I
First Exam - Fall 2014
A
Date: November 2, 2014 Time: 6:00-7 :15
Dr. Abdul Salam J arrah Dr. Dmitry Eﬁmov
Dr. F ar
Department 0f Mathematics and Statistics
American University of Sharjah
Exam 1- Fall 2010
MTH 103 ~ Calculus I
Date: Wednesday Navember 10, 2010 Time: 5:00-6:15 pm
? Instmctar Name , fSeC. Number Class Time $
{Dr. T. Abualrub i i
sDr. I. Kacuk } I
‘Dr. D.
Department of Mathematics and Statistics
American University of Sharjah
Final Exam- Summer 2010
MTH 103 —— Calculus I
Date: Wednesday July 14, 2010 Time: 5:00-7:00 pm
I Student Name ID Number
Instructor Name 7 Sec. Number Class Time
Dr. T. Abu
LAB 5:
REVIEW FOR EXAM I
Part I. Problem-Solving
Do the following problems from the textbook:
Page 98: 35, 37.
Page 107: 45, 46, 57, 58, 62.
Page 129: 45, 46, 52.
Page 140: 7, 8, 43.
Page 153: 53.
Page 162: 3.