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 [>. Aft
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 t
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. Plo
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
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 a
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
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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
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-
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 Clas
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
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.
Pag