The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Name: _
Exam 2
Form B
Instructions: Answer all of the following on your own paper. Show all necessary work neatly, using proper notation, and
box your answers. When necessary, solutions may be expressed as decimals rounded to 3
The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Name: _
Exam 1
Form A
Instructions: Answer all of the following on your own paper. Show all necessary work neatly, using proper notation, and
box your answers. When necessary, solutions may be expressed as decimals rounded to 3
The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Exam 2 Review
Exam 2 will cover topics from sections 1.7, 2.82.9, and 5.15.3 of the text, along with the material we
discussed on function spaces. Below is a list of problems to review:
1.7
2.8
2.9
5.1
5.2
5.3
#120
#520, 23
The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Name: _
Exam 2
Form A
Instructions: Answer all of the following on your own paper. Show all necessary work neatly, using proper notation, and
box your answers. When necessary, solutions may be expressed as decimals rounded to 3
The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Exam 3 Review
Exam 3 will cover topics from sections 6.16.5 of the text. Below is a list of problems to review:
6.1
6.2
6.3
6.4
6.5
#118
#122
#120
#112
#114
The question numbers listed above are from the textbook; do not
The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Name: _
Exam 1
Form B
Instructions: Answer all of the following on your own paper. Show all necessary work neatly, using proper notation, and
box your answers. When necessary, solutions may be expressed as decimals rounded to 3
The University of Texas at San Antonio San Antonio
LINEAR ALGEBRA
MAT 2233

Summer 2009
MAT 2233 Brucks Spring 2017
Exam 1 Review
Exam 1 will cover topics from sections 1.31.5, 2.12.2, and 3.13.3 of the text. Below is a list of
problems to review:
1.3
1.4
1.5
2.1
2.2
3.1
3.2
3.3
#522
#522
#522
#514
#18, 1420
#930
#523
#110
The qu
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
MAT 1033: Algebra and Calculus for Business
Z. Sharon
July 16, 2016
1
1 ALGEBRA
Unit 1 : Algebra
Chapter 1.1 : Algebra and Equations (Ch. 1 on MML)
Remark 1 Chapter 1 of the text is largely considered prerequisite to MAT 1033, so the first
Lecture will co
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
MAT 1033: Algebra and Calculus for Business
Z. Sharon
July 10, 2016
1
1 ALGEBRA
Unit 1 : Algebra
Chapter 1.1 : Algebra and Equations (Ch. 1 on MML)
Remark 1 Chapter 1 of the text is largely considered prerequisite to MAT 1033, so the first
Lecture will co
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033.01S
1
Instructor
Syllabus
Summer 2016
The policies in this syllabus are subject to change. Any changes
will be announced in class and/or indicated on BlackBoard.
Zachery Sharon
Email: [email protected]
Office Location: FLN 4.01.54
Office H
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
MAT 1033.3  Algebra with Calculus for Business cfw_Qcourse
Spring 2017
I. General
Instructor: Ghassan Nasr (gus)
Office: FLN 4.01.56
Phone: 4585564
email: [email protected]
Office Hours: MWF 9:00 9:50 am or by appointment.
Lecture: MWF 12:00  12:5
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 11
Spring 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring l
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 3
Summer 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring la
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 12
Summer 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring l
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 4
Summer 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring la
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 2
Summer 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring la
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 1
Summer 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring la
The University of Texas at San Antonio San Antonio
MAT 1033

Spring 2017
Math 1033
Suggested Written Homework for Chapter 4
Summer 2016
These problems will not be turned in or graded. I cannot stress enough that you
need to work on these problems yourself. Its fine to get help when you really need
it (office hours, tutoring la
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 3.4 Product and Quotient Rules
Name: _
1. Find the derivatives of the following functions:
a) y=t 3 ln ( t )
b) y=( 3 x 2 +5 x ) e x
c)
2
y=
5x
3
x +1
x
ex
d)
y=
e)
y=x x 2 +1
2
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Sec 3.5 Derivatives of Periodic Functions
Group Name: _ Missing Members_
1. Find the derivatives of the following functions:
a) y=x cos ( x)
2
b) y=sin ( e x )
c)
y=
tan ( 2 x)
x
t2
d) f ( t )=
cos (t)
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
MAT1193 Calculus for the Biosciences Formula Sheet (Derivatives)
SHORTCUTS
Derivative of a constant function
()
=0
Power Rule
= 1
Constant multiple
()
Sum Rule
(
Exponential Functions
o
+ ) = +
=
()
Derivative of e to the anything is e to the anything
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 3.2 Derivatives of Exponential and Log Functions
Group Name: _
Members Missing : _
1. Find the derivatives of the following functions:
a) y=10 e x ln ( x )
b) y=10 x
c)
y=e10 t +5
2. Consider the function y=ln ( x ) .
a. Formulate the equat
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 3.1 Derivatives of Powers and Polynomials
Group Name: _ Missing Members: _
1. Find the derivatives of the following functions:
a) y=9
b) y=10 x11
c)
y=x
d)
y=
e)
y= x
f)
y=2 x
100
1
3
x
1.1
2
g) y= x +
4
ax +b
h) y= c
2. Find the equation
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 1.2  Linear Functions
Group Name: _
1. If y is the world record time to run the mile, in seconds, and t is the number of years since
1900, then previous records show that the following linear equation can be used as an
approximate model: y
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Groupwork: Sec 2.3  Interpretations of the Derivative
Team Name: _ Members Absent: _
1. The time, L (in hours), that a drug stays in a persons system is a function of the quantity
administered, q (in mg), so L = f(q).
a) Interpret the statement f(10) = 6
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 3.3 The Chain Rule
Name: _
1. Find the derivatives of the following functions:
100
a) y=( 2 x 2+ 1 )
b) y=e x
2
c)
y= 1+2 e5 t
d)
y=
e)
y=5 ln ( 1x )
1
e +x
2x
2. A yeast culture at room temperature (68o F) is placed in a refrigerator set a
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 4.1 Local Maxima and Minima
Team Name: _ Members Missing: _
1. Find the critical points and max/min values of the following function (Graph to
check your answers).
g ( t )=8 tt 4
2. Consumer demand for a certain product is changing over tim
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 2.1  Instantaneous Rates of Change (IRC)
Team Name: _ Missing Members_
1. The average annual salary of both high school graduates and Bachelors degree holders have
been increasing since 1980. See table below.
Year
1980
1990
2000
2010
High
The University of Texas at San Antonio San Antonio
Biocalculus
MAT 1193

Fall 2015
Worksheet: Sec 2.4 The Second Derivative (ONLY TURN IN ONE WORKSHEET)
Group Name: _ Members Missing: _
1. The path of the UTSA Calc Coaster is shown below. Let y be the height of the
coaster above the ground.
a) Sketch the graph of y , the velocity of the