MIAMI-DADE COLLEGE
HIALEAH CAMPUS
Dept. Liberal Arts and Sciences
Course: MAC 1105 “College Algebra” 3 credits. Summer B 2007-03
Textbook:” Algebra and Trigonometry”, Author: Sullivan
Pearson Addison Wesley; Eight Edition; ISBN 0131430734
Meeting Days: M, W, F 10:25 AM-12:40 PM Room 1319
Instructor: Dr. Jaime Bestard.
Email jbestard@mdc.edu
Ph (305)237-8766
Office Hours: M, W, F 7-8 AM and 1-3 PM Room 1413-04
GENERAL EDUCATION LEARNING OUTCOMES
Purpose: Through the academic disciplines and co-curricular 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 life-long learning.
As graduates of Miami Dade College, students will be able to:
1. Communicate effectively using listening, speaking, reading, and writing skills.
2. Use quantitative analytical skills to evaluate and process numerical data.
3. Solve problems using critical and creative thinking and scientific reasoning.
4. Formulate strategies to locate, evaluate, and apply information.
5. Demonstrate knowledge of diverse cultures, including global and historical perspectives.
6. Create strategies that can be used to fulfill personal, civic, and social responsibilities.
7. Demonstrate knowledge of ethical thinking and its application to issues in society.
8. Use computer and emerging technologies effectively.
9. Demonstrate an appreciation for aesthetics and creative activities.
10. Describe how natural systems function and recognize the impact of humans on the
environment.
Course description:
This course is a survey of the concepts of college algebra involving linear, quadratic, rational,
and radical, exponential and logarithmic equations; graph linear equations and inequalities in one
variable; solve systems of linear equations and inequalities in two variables; complex numbers;
word problems and explore elementary functions
Prerequisite: MAT 1033, or a prescribed score on the Algebra Placement Test. Special Fee. (3
hr. lecture).
Objectives:
1) To manipulate algebraic expressions involving rational and radical as well as complex
numbers components towards their simplification.
2) To solve equations and inequalities integrating the previous objectives.
3) To graph equations, to identify functions and to integrate both to the analysis of
functions, graphically and analytically
4) To integrate the principles in 1-3 to the exponential and logarithmic expressions,
equations and functions.
5) To integrate the solution of systems of equations and inequalities to real professional
problems.
Competencies:
1) Solve linear equations and inequalities involving absolute value.
2) Solve equations involving rational expressions.
3)
Solve word problems involving rational expressions.
4)
Solve radical expressions.
5)
Solve quadratic and cubic inequalities in one variable.
6)
Solve inequalities involving rational expressions.
7)
Find the distance between two points on a number line.
8) Use the distance formula to find the distance between two points in the plane.
9)
Determine the standard form of a circle, and graph the circle.
10) Determine the standard form of a line given certain conditions pertaining to the line.
11) Determine the standard form for the equation of a vertical parabola.
12) Graph a vertical parabola.
13) Define the terms ‘relation’ and ‘function’.
14) Determine domain and range of a function
15) Determine the properties of a function either the function is given analytically or
graphically
16) Use function notation and simplify the difference quotient for certain functions.
17) Graph linear, quadratic, radical, absolute value, and root functions.
18) Graph piecewise-defined functions.
19) Solve certain maximum and minimum problems by finding the vertex of a parabola.
20) Find the sum, difference, product, quotient, and composition of two functions.
21) Show that a function is one-to-one by using the definition or the horizontal line test.
22) Find the inverse of a one-to-one function.
23) For a simple function f, graph both f and 1on the same coordinate system.
24) Graph a polynomial function.
25) Graph a rational function.
26) Solve certain exponential equations using the property: If ax= ay, then x = y, a > 0 and a
1
27) Graph both increasing and decreasing exponential functions.
28) Define the statement ‘y = loga x ’.
29) Know the properties of logarithms and solve certain problems which require their use.
30) Graph a logarithmic and its inverse exponential function on the same coordinate system.
31) Solve exponential equations using logarithms.
32) Use the change- of- base formula to evaluate logarithms with base other than 10 or e.
33) Graph linear systems and solve these systems by substitution and elimination.
34) Evaluate 2 x 2 determinants.
35) Evaluate 3 x 3 determinants using expansions by minors.
36) Use Cramer’s Rule to solve 2 x 2 and 3 x 3 linear systems
EVALUATION POLICY:
Four 1 hour tests, a 1 h midterm exam and a mandatory comprehensive 1.5 hour final exam will
be given during the term. Students are supposed to show and write all their work and
conclusions in all evaluations. Students must pass the Final Exam with score of 60 or more.
The Final Grade will be composed as followed: 5 % total homework or instructor criteria,
Midterm Exam 20 %, Test 10 % each, Final Exam 35 %.Two missing evaluations will result in a
failing grade. Absolutely no make-up examinations will be given. HOMEWORK, SHOWING
YOUR WORK, IS DUE EVERY TEST DAY in class. Late returns in homework are not
accepted. It is strongly advised the use of the Academic Support Laboratory with its free
tutoring service, as well as any similar free service offered by certified tutors campus wide.
The use of the Campus Library is strongly advised to meet the required Information Literacy
as well
GRADING SCALE:
90 – 100
=
A
80 – 89
70 – 79
60 – 69
0 – 59 =
=
=
=
F
B
C
D
ATTENDANCE:
Attendance and punctuality to class is mandatory, late arrivals and early leaves are
supposed to be only on breaks of the session to eliminate disruptions. Students are expected
to attend, to be punctual and to participate in class, two late arrival or early leave are equivalent
to an absence; three absences in a row or a total of five absences across the course is cause of
course withdrawal. Students are responsible to prepare all topics and material covered in
syllabus. Students who attend classes, and do not appear on the classroll will be asked to report
to the Registrar’s Office to obtain a paid/validation schedule.
Under no circumstances you will be allowed to remain in class if your schedule is not stamped
paid/validated. Mobile phones are required to be turned off during lectures.
DROPS/WITHDRAWALS:
It is the student’s responsibility to withdraw from the class if he/she should decide to.
Cheating and Plagiarism: Academic honesty is the expected mode of behavior. Students are
responsible for knowing the policies regarding cheating and plagiarism and the penalties for such
behavior. Failure of an individual faculty member to remind the students as to what constitutes
cheating and plagiarism does not relieve the student of his responsibility. Students must take care
not to provide opportunities for others to cheat. Students must inform the faculty member if
cheating or plagiarism is taking place.
Diversity Statement: The MDC community shares the belief that individual and collective
educational excellence can only be achieved in an environment where human diversity is
valued.
Students with Disabilities: It is my intention to work with students with disabilities and I
recommend them to contact the Access Services, (305) 237-1272, Room 6112, North Campus, to
arrange for any special accommodations.
TENTATIVE SCHEDULE
WEEK DATE
TOPICS & EVALUATIONS
Laboratory HW ASSIGNMENTS
1
Jun23
Chapter Review
2
Jun 25
1.2; 1.3; 1.4
3
Jun 27
1.6; 4.5; 1.7
4
Jun 30
TEST 1- 2.1-2.2
Every odd in corresponding topics
5 Jul 2
2.3-2.5
Every odd in corresponding topics
6 Jul 4
HOLIDAY
7
TEST 2 / Word problems
Jul 7
Chapter review exercises
(9-95)(9-77;81-85)(7-85)
(7-53)(3-45)(7-31)
Every odd in corresponding topics
8 Jul 9
3.1-3.2
Every odd in corresponding topics
9 Jul 11
3.3/ 3.4
#9-25; 29-37 odd & 45
10 Jul 14
MIDTERM /3.4-3.5
Mandatory hand out in functions
4.4 # 1-11; 17-21; 31-59; 45
11 Jul 16
4.1-4.2-4.3; 4.4
Every odd in corresponding topics
12 Jul 18
Chp 5
Every odd in corresponding topic
13 Jul 21
TEST 3 / 6.1-6.3
Every odd in corresponding topic
14 Jul 23
6.4-6.5-6.6
Every odd in corresponding topic
15 Jul 25
6.7-6.8
Extra Assignment
16 Jul 28
TEST 4/ Chapter 12*
Extra Assignment
17 Jul 30
Chp 13 *
Extra Assignment
18 Aug 1
Exercises/ FINAL EXAM
I, __________________________________________ , Student ID____________,
have understood and discussed the terms and conditions exposed in the course syllabus for MAC1105 already given
to me by Dr. Jaime Bestard, instructor of the course on the first meeting of this course at The Hialeah Campus. By
signing this release, I enter in contract with my course instructor and agree with my responsibility over the
completion of the terms and conditions to meet the appropriate development of the educational objectives of this
subject.
_______________________________________, ___________________________
Student signature
Date