Syllabus for College Algebra
Course Description:
This course introduces the student to the concept of functions and their graphs.
Students will graph linear,
quadratic, rational, exponential, logarithmic, radical, power, and absolute
value functions and
transformations; perform operations on and compositions of functions; find the
inverse of a function; apply
the laws of logarithms to simplify expressions and solve equations ; graph
non-linear inequalities; solve
related applications and modeling problems.
AA degree-seeking students: Upon successful completion of MAC1105 (grade of A, B
or C), you should
register for MGF1106, MGF1107, or STA2023 depending on your major and the
institution to which you
are planning to transfer. Education majors may take MTG2204. Be sure to take
your mathematics courses
in consecutive terms
Credits: 3
Pre-requisites
MAT1033 (Grade C or better), or appropriate placement score
Textbook
College Algebra Enhanced with Graphing Utilities, 5th Ed, by Sullivan; Pub.
Prentice Hall
At the Instructor’s discretion, a TI-83 or TI-84 Graphing Calculator may be
required
Miami-Dade Learning Outcomes
As graduates of Miami Dade College, students will be able to:
Communicate effectively using listening, speaking, reading, and writing
skills.
Use quantitative analytical skills to evaluate and process numerical data.
Solve problems using critical and creative thinking and scientific
reasoning.
Formulate strategies to locate, evaluate, and apply information.
Demonstrate knowledge of diverse cultures, including global and historical
perspectives.
Create strategies that can be used to fulfill personal, civic, and social
responsibilities.
Demonstrate knowledge of ethical thinking and its application to issues in
society.
Use computer and emerging technologies effectively.
Demonstrate an appreciation for aesthetics and creative activities.
Describe how natural systems function and recognize the impact of humans on
the environment.
Each course taken at the college addresses some of these Learning Outcomes.
College Algebra (MAC1105)
addresses outcomes 1, 2, 3, 4, and 8.
• Communicate effectively using listening, speaking, reading, and writing
skills.
This course requires reading and understanding the material covered in the
textbook. Students will
need to pay attention in class and may periodically be asked to explain a
concept discussed in
class.
• Use quantitative analytical skills to evaluate and process numerical data.
The student will have the opportunity to develop these skills in solving
applications of linear,
exponential and Logarithmic equations in two variables . They will also develop
the ability to read
and interpret graphs that represent patterns (models) of data.
• Solve problems using critical and creative thinking and scientific reasoning.
Some of the applications of equations in two variables and of rational
expressions will require the
use of critical and creative thinking. Students will have to use the information
given in a problem
to set up equations (models) in one or two variables. They may at times need to
use a chart to
organize the information given in the problem. The problem solving approach they
will use in this
course constitutes an important contribution to the development of their
scientific reasoning
ability.
• Formulate strategies to locate, evaluate, and apply information.
The areas that will provide students with this opportunity are applications of
linear equations and
systems of linear equations in two variables as well as variation problems.
• Use computer and emerging technologies effectively.
Most homework assignments and quizzes will be posted on line on the Course
Compass/My Math
Lab website. Students will develop the ability to use these computer resources
to monitor their
progress and to help them reach a better understanding of the concepts, ideas
and applications
discussed in the course. They will also have the opportunity to use the external
links posted on the
website to explore topics related to the course goals and objectives.
MAC1105
Syllabus, Homework Assignments
Tentative Schedule (16 Week term)
Week |
Sect. |
Topic |
Suggested Homework |
|
|
|
(odds unless otherwise noted) |
1 |
1.1 |
Rectangular Coordinates; Introduction to |
11 - 89 |
Graphing Equations |
|
1.3 |
Quadratic Equations |
11 - 65 |
2 |
1.4 |
Complex Numbers ; Quadratic Equations in |
9 – 71 |
the Complex Number System |
|
|
Radical Equations; Equations Quadratic in |
9 – 59, 67 – 79, 85 - 91 |
1.5 |
Form; Absolute Equations; Factorable |
|
|
|
Equations |
|
|
1.7 |
Solving Inequalities |
11 - 85 |
|
2.1 |
Intercepts ; Symmetry; Graphing Key |
9 – 61 |
|
Equations |
|
|
2.2 |
Lines |
11 – 109 (every other odd) |
|
2.3 |
Circles |
7 – 41, 43 – 46 (all) |
4 |
|
Review for Exam # 1 |
|
|
|
===== Departmental Exam # 1 ===== |
|
3.1 |
Functions |
15 - 79 |
5 |
3.2 |
The Graph of a Function |
9 - 27 |
|
3.3 |
Properties of Functions |
11 - 61 |
6 |
3.4 |
Library of Functions; Piecewise-defined |
9 – 37, 41, 43 |
Functions |
|
3.5 |
Graphing Techniques; Transformations |
7 – 18 (all), 19 – 33, 39 – 65, 69 |
|
3.6 |
Mathematical Models: Building Functions |
1, 2, 3, 5, 7, 10, 15 |
|
|
Mathematical Models: Building Functions |
|
7 |
|
===== Departmental Exam # 2 ===== |
|
|
Review for Midterm |
|
8 |
|
===== Departmental Midterm ===== |
|
4.3 |
Quadratic Functions and their Properties |
11 – 18 (all), 19 - 55 |
|
4.4 |
Building Quadratic Models from Verbal |
3, 4, 5, 6, 7 |
9 |
Descriptions and From Data |
|
|
4.5 |
Inequalities Involving Quadratic Functions |
3 - 21 |
|
5.1 |
Polynomial Functions and Models |
11 – 81 (every other odd) |
10 |
5.2 |
Properties of Rational Functions |
11 – 27, 41 - 49 |
|
5.3 |
The Graph of a Rational Function |
7 - 19 |
|
5.4 |
Polynomials and Rational Inequalities |
5, 6, 9 - 47 |
11 |
|
Review for Exam # 3 |
|
|
|
===== Departmental Exam # 3 ===== |
12 |
6.1 |
Composite Functions |
7 - 43 |
6.2 |
One-to-one Functions; Inverse Functions |
9 - 69 |
|
6.3 |
Exponential Functions |
11 - 83 |
13 |
6.4 |
Logarithmic Functions |
9 – 61, 63 – 70(all), 87 - 109 |
|
6.5 |
Properties of Logarithms |
7 - 77 |
|
6.6 |
Logarithmic and Exponential Equations |
5 - 55 |
14 |
6.7 |
Financial Models |
3 - 29 |
|
6.8 |
Exponential Growth and Decay Models |
1, 2, 3, 5 |
|
|
Review for Exam # 4 |
|
|
|
===== Departmental Exam # 4 ===== |
15 |
8.1 |
System of Linear Equations: Substitution |
|
|
and Elimination |
|
|
8.3 |
System of Linear Equations: Determinants |
1 - 39 |
16 |
|
===== Departmental Cumulative Final Exam ===== |
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