MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
MIAMI-DADE COLLEGE, North Campus
Department of Mathematics
MDC North Campus 11380 NW 27 AV Miami, FL 33167-3418
Course ID
Reference #
Semester
Instructor Name,
Degree and Rank
Prerequisites
Credits
Textbook
Edition
Author
WebAssign Course ID
Calculator Policy
Class Times/Room
Office Location
Office Hours
MAC 2311 (Calculus & Analytical Geometry1)
763770
2013-2 Spring 2014
Dr. Manuel Caramés, PhD, Associate Professor Senior
of Mathematics & Physics.
MAC1114 & MAC1140 or MAC1147 with at least a
grade of "C"
5 Credits Semester Hours
Calculus. Early Transcendental
7th Edition
by James Stewart
mdc 0711 9378
Students can use calculators (no graphing)
M, F 11:00 – 12:40, W 11:00 – 11:50 /1211 North
Campus
Room 7333
M 06:30 AM to 08:10 AQM
M, W, F 10:00 AM to 10:50 AM
T, R 07:00 AM to 07:50 AM
W, F 06:30 AM to 08:15 AM WEB
W 12:00 PM to 01:40 PM
Phone Number
Email Address
305-237-1013
mcarames@mdc.edu
Make Up Policy
There is not
Attendance Policy
Students with 2 or more unexcused absences may be
withdrawn by the instructor. Students are still
responsible for withdrawing themselves if they want
to receive a “W”.
BE MATH CONFIDENT and remember…. EASY PAYS $7.25
Page 1
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
Academic Dishonesty
Policy
ADA
Chairperson of the
Dept of Math.
Math Center
Grading Policy
Course Competencies
http://www.mdc.edu/policy/student_rights_and_respon
sibilities.pdf
In compliance with the Americans with Disabilities
Act (ADA), all qualified students enrolled in this
course are entitled to reasonable accommodations.
Please notify the instructor during the first week of
class of any accommodations needed for this course.
Dr. Vincent Bates, 305 237 1291, vbates@mdc.edu
For assistance, please contact your instructor during
advisement hours and/or visit the Math Center in
Room 2222. For Math Center hours of operation, call
305-237-1421.
Your final grade will have 4 components: home works
10%, in class exams 20%, midterm exam 30% & 40%
final exam. In order for you to pass the class you
need to have a 70% grade and finish ALL the HW &
exams.
Determine the existence or non-existence of limits by
inspection of a graph.
2)
Work with infinite limits and understand their
significance with respect to the vertical asymptotes
of a graph.
3)
Use properties of limits and theorems regarding
limits to evaluate limits of polynomial, rational,
radical and trigonometric functions.
4)
Define the statement:
lim f ( x)  L
xa
5)
Define the statement, 'f is continuous at c'.
6)
Determine continuity or discontinuity by
inspection of a graph.
7)
Use properties of continuous functions and
theorems regarding continuity to test a function for
continuity at a point or on an interval.
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Page 2
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
8)
Understand and be able to work with one-sided
limits.
9)
Work with limits at infinity and understand their
significance with respect to the horizontal
asymptotes of a graph.
10) Define the statement, 'f is differentiable at c'.
11) Use the definition of derivative to evaluate the
derivative of a function at a point.
12) Understand the significance of derivatives with
respect to both rates of change and slopes of tangent
lines.
13) Apply derivatives to problems involving
position, velocity and acceleration of a moving
object.
14) Use properties of derivatives and theorems
regarding derivatives to calculate derivatives of all
types of elementary function, including constant
multiples, sums, products and quotients of
polynomial, rational, radical and trigonometric
functions.
15) Apply the Chain Rule to differentiate
compositions of all of the above-referenced types of
function, as well as to carry out implicit
differentiation.
16) Solve problems involving related rates.
17) Understand and apply Newton's Method to
approximate the zeros of a differentiable function.
18) Understand and apply differentials to
approximate the error in a calculated value.
19) Differentiate exponential and logarithmic
functions.
20) Differentiate inverse trigonometric and
hyperbolic functions.
21) Use the derivative to find the critical numbers
and relative extrema of a function, as well as find
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Page 3
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
absolute extrema on a specified interval.
22) Understand and apply Rolle's Theorem and the
Mean
Value Theorem.
23) Use the second derivative to find the inflection
points of a graph.
24) Use the first and second derivatives of a
function to analyze its variation and the concavity of
its graph.
25) Recognize the indeterminate forms, and know
how to evaluate limits
0 
, , (  ), (0  ), 1 , 00 ,  0
0 
Tentative schedule
Subject to Change
with Written Notice”
involving these forms, using L'Hôpital's Rule when,
and only when, appropriate.
26) Use the above-referenced information to sketch
the graph of a differentiable function.
27) Solve optimization problems.
28) Find antiderivatives of algebraic and
transcendental functions, with special emphasis on
the technique of change of variable.
29) Evaluate a definite integral by taking the limit
of a Riemann Sum.
30) Understand and apply the Fundamental
Theorem of Calculus to evaluate definite integrals.
31) Use an integral to find the area of a plane
region.
32) Use an integral to find the volume of a solid of
revolution, using either the washer method or the
method of cylindrical shells.
33) Find the average value of a continuous function
over a specified interval.
M Jan. 06 Faculty Report to the University.
T 07
Classes begin
W 08
Syllabus & webAssign;
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Page 4
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
should be included.
F 10
2.1
M 13
W 15
2.2 &2.3
F 17
2.4
M 20
Holyday 2.4 (continue)
W 22
2.5
F 24
2,6
M 27
2.7
W 29
2.8
F 31
3.1
M Feb. 03
3.2
W 05
3.3
F 07
3.4
M 10
3.5
W 12
3.6
F 14
3.7
M 17
Holyday 3.8
W 19
3.9
F 21
3.10
M 24
3.11
W 26
4.1
F 28
4.2
M March 03
4.3
W 05
4.4
F 07
No Classes 4.5
M 10
4.6
W 12
4.7
F 14
4.8
M 17
4.9
W 19
5.1
F 21
5.2
M 24
W 26
5.3
F 28
5.4
M 31
5.5
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Page 5
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
Learning Outcomes
W April 02
6.1
F 04
6.1 (continue)
M 07
6.2
W 09
6.3
F 11
Holyday
M 14 6.3 (continue)
W 16
6.4
F 18 Holiday
6.5
M 21
6.5 (continue)
W 23
6.6
F 25
Last Day of Classes
F May 02
Final Exam
Purpose: Through the academic disciplines and cocurricular activities, General Education provides
multiple, varied, and intentional learning experiences
to facilitate the acquisition of fundamental
knowledge and skills and the development of
attitudes that foster effective citizenship and lifelong learning.
As graduates of Miami Dade College, students will be
able to:
1. Communicate effectively using listening, speaking,
reading, and writing skills. Professor will address
this outcome trough all assessments described in the
syllabus.
2. Use quantitative analytical skills to evaluate and
process numerical data. In this course students will
need to read and identify data from graphs and
charts. Students will also learn to develop
quantitative skills to interpret data from graphs. Also,
students will solve algebraic equations and
inequalities and manipulate data through unit
analysis.
3. Solve problems using critical and creative thinking
BE MATH CONFIDENT and remember…. EASY PAYS $7.25
Page 6
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
and scientific reasoning. In the process of solving
mathematical problems, students will need to use
critical thinking skills to interpret solutions.
Creativity in solving problems is constantly
encouraged in this course and viewed as an
important skill in mathematics. Critical skills are
heavily emphasized in this course.
4. Formulate strategies to locate, evaluate, and apply
information.
In this course students will often need to solve reallife word problems which apply the mathematical
concepts presented. Students will work to solve
these problems and identify relevant information in
the problems in order to be able to solve them.
5. Demonstrate knowledge of diverse cultures,
including global and historical perspectives.
In this course, whenever possible, students will be
introduced to the use of mathematics through
diverse cultures as well as historical notes on the
mathematical concepts you learn.
6. Create strategies that can be used to fulfill
personal, civic, and social responsibilities. This
outcome is heavily reinforced in this course. I
constantly teach them that: It is they personal, civic
and social responsibility to take education seriously
by putting forth the effort needed for them to
succeed. In this class, as in life, only you are
responsible for your actions and the end result of
them. Do not put the blame on anyone other than
yourself. One should not subscribe to the “Book of
Excuses”. In truth, everyone has the same
opportunity and should look for answers within
themselves to find solutions to their own problems.
Being respectful of others indicates you respect
yourself. Do this by speaking intelligently, dressing
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Page 7
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
appropriately and admitting your weaknesses
truthfully. Education makes you strong; it remains in
your brain and no one can take it away from you.
Select a major that fulfills your personal goals but
that also addresses society’s need to answer certain
burning questions.
7. Demonstrate knowledge of ethical thinking and its
application to issues in society. This outcome is not
reinforced in this course.
8. Use computer and emerging technologies
effectively. In this course students will be frequently
informed about their progress in the course via email.
9. Demonstrate an appreciation for aesthetics and
creative activities.
This outcome is not reinforced in this course.
10. Describe how natural systems function and
recognize the impact of humans on the environment.
This outcome is heavily reinforced in this course.
Every time that we talk about a solution of a "Real
World Problem" it is because we were able to
recognize how it functions
NOTES:
1) The registration to webAssign begins Tuesday January the 7 th
and finishes Friday January the 17st. You need to be registered
in this period of time.
2) Cell
phones
and
NO EXCUSES!!
any
TOTALLY
TO BE OFF BEFORE YOU
sounding
devices
are
PROHIBITED. They need
ENTER THE CLASS. The instructor may ask the student to
leave the class for the first time. If the indiscipline is repeated
the instructor may withdraw the student from the course.
3) Coming to the board when student is asked for, is mandatory.
BE MATH CONFIDENT and remember…. EASY PAYS $7.25
Page 8
MAC 2311 (Calculus & Analytical Geometry I)
Course Syllabus Ref# 778576
NO EXCEPTIONS!!.
4) Home works could be taken as many times as you want and the
system will record your best grade. Exams could be taken once
and they are timed. Make sure you do your home works and
exams in the school in order for you to avoid problems with the
internet. These are examples of not good excuses: “Professor at
home the internet was gone”; “Professor, please, reopen the
exam for me, I submit it before I finish”; “Please, reopen the
exam, I hit the wrong key” etc, etc, etc.
NO REOPENNINGS AT ALL .
5) Punctuality. You will not be allow to enter the class is you are
ONE SECOND IS LATE!!
My voice is laud, please, DO NOT BE AFRAID!!
ANY ABSENCE IS INEXCUSABLE. I believe
late.
6)
7)
you; the
problem is that you missed the class!!
8) I
understand that in our University we do not have a dressing
code policy but to come to my class you must dress
professionally and appropriately. What does it mean? Male
CAN NOT wear neither pants nor shorts
showing their underwear or sleeve less T-shirts.
Female students CAN NOT wear camisoles or
shorty shorts.
students
9) RIGHT ANSWERS MEAN NOTHING!!
BE MATH CONFIDENT and remember…. EASY PAYS $7.25
Page 9