Course Syllabus for Intermediate Algebra
PREREQUISITE
MAT 052 (or an appropriate score on OCC Mathematics Assessment Test) and MAT 053
(or geometry
proficiency). MAT 053 and MAT 120 may be taken concurrently.
COURSE (CATALOG) DESCRIPTION
Course covers algebraic principles at intermediate level. Content includes real
and complex numbers, exponents,
polynomials, radicals; first- and second-degree equations; system of equations;
inequalities and rational
expressions. Note: MAT 120 will not be counted towards an A.A., A.S., A.S.E.,
A.F.A., or A.A.T. degree, nor will
most senior colleges or universities accept MAT 120 credits for transfer.
COURSE OBJECTIVES
A. Demonstrate an understanding of the real numbers and their properties.
B. Extend the basic operations and factoring with polynomials.
C. Extend the basic operations of rational expressions.
D. Solve first and second degree equations and inequalities in one variable.
E. Perform the basic operations of complex numbers.
F. Demonstrate the ability to use the definitions and laws of exponents, roots
and
radicals.
G. Graph equations and inequalities in two variables.
H. Solve systems of equations and inequalities.
I. Demonstrate an understanding of functions.
J. Apply concepts and techniques to problem solving.
ACADEMIC INTEGRITY
Students and employees at Oakton Community College are required to
demonstrate academic integrity and
follow Oakton’s Code of Academic Conduct. This code prohibits:
cheating,
plagiarism (turning in work not written by
you, or lacking proper citation),
falsification and fabrication (lying or
distorting the truth),
helping others to cheat,
unauthorized changes on official documents,
pretending to be someone else or having
someone else pretend to be you,
making or accepting bribes, special favors,
or threats, and
any other behavior that violates academic
integrity
There are serious consequences to violations of the academic integrity policy.
Oakton’s policies and procedures
provide students a fair hearing if a complaint is made against you. If you are
found to have violated the policy,
the minimum penalty is failure on the assignment and, a disciplinary record will
be established and kept on file in
the office of the Vice President for Student Affairs for a period of 3 years.
Details of the Code of Academic Conduct can be found in the Student Handbook
Outline of Topics:
A. Real Numbers
1. Properties
2. Operations
3. Real number system
B. Solving Equations and Inequalities in One Variable
1. Solving linear equations
2. Formulas
3. Solving linear inequalities
4. Compound inequalities
5. Absolute value equations and inequalities
6. Applications
C. Graphing Equations and Inequalities in Two Variables
1. Rectangular coordinate system
2. Distance, midpoint and slope formula
3. Graphing
4. Slope-intercept and point-slope formulas
5. Parallel and perpendicular lines
6. Graphing inequalities
7. Graphing circles with center at origin
8. Applications
D. Systems of Equations and Inequalities
1. Graphical solution
2. Algebraic solutions (elimination and substitution)
3. Solution of systems with three variables
4. Nonlinear equations
5. Systems of inequalities
6. Applications
E. Polynomials
1. Basic operations
2. Long division and synthetic division
3. Special products
4. Factoring
5. Using factoring to solve equations
6. Applications
F. Rational Expressions
1. Simplifying
2. Basic operations
3. Complex rational expressions
4. Solving equations with rational expressions
5. Formulas
6. Variation
7. Applications
G. Exponents, Roots and Radicals
1. Laws of exponents
2. Scientific notation
3. Rational exponents
4. Simplifying radical expressions
5. Operations with radical expressions
6. Rationalizing denominators
7. Solving equations with radical expressions
8. Applications
H. Complex Numbers
1. Definition
2. Simplifying powers of i
3. Basic operations
I. Quadratic Equations and Inequalities
1. Solving by factoring
2. Solving by completing the square
3. Solving by use of quadratic formula
4. Formulas
5. Algebraic solutions of nonlinear systems
6. Solving nonlinear inequalities
7. Applications
J. Functions
1. Definition
2. Function notation
3. Graphing linear and quadratic functions
4. Applications
K. Suggested optional topics: exponential and logarithm functions and equations.
ADDITIONAL OAKTON INFORMATION
Please note the following dates:
August 29 noon |
Last day to submit proof of residency, business service agreements and
chargebacks/joint agreements |
September 7 | Labor Day holiday, College closed |
September 20 | Last day to withdraw from 16 week courses and have course dropped from record* |
September 20 | Last day to change to Audit for 16 week courses* |
October 4 |
Incomplete (I) grades from Summer 2008 semester for which faculty have
not submitted final grades will become an "F" after this date. ** |
October 9 | noon Last day for filing Graduation Petitions |
October 18 |
Last day to withdraw with a W from 16-week courses* Students will receive a grade in all courses in which they are enrolled after October 19. |
November 11 | Veterans' Day holiday, College closed |
November 16 | Registration opens for Spring 2009 Semester |
November 26, 27 | Thanksgiving Recess, College closed |
November 28, 29 | Thanksgiving Recess, no classes, College open (most offices closed) |
December 15, 16 | Evaluation Days*** |
December 16 | Last day of student attendance |
December 17 | Grading Day**** |
December 18 | noon Grades due |
December 24, 25 | Christmas holiday, College closed |
December 26-30 | Winter break, College closed |
December 31 | New Year's Eve holiday, College closed |
* Consult Registration & Records for deadlines on classes
meeting less than 16 weeks.
** Students must make arrangements with individual faculty members regarding
deadlines to submit required work for
Incomplete (I) grades.
*** Two days to be used for instruction or final student evaluations or
culminating course activities. Classes not
scheduled to meet on these days and classes which do not meet for the duration
of a semester will ordinarily use the last
class session(s) for instruction or final student evaluations or culminating
course activities.
**** Faculty on campus and available to students at designated times.
The instructor reserves the right to make changes to the
syllabus on an as needed basis. Any such changes will be announced
in class. If you are not in class, it is your responsibility to find out about
these changes from one of your classmates.
TENTATIVE COURSE SCHEDULE
The following is intended to be an accurate outline of the course, but the
instructor reserves the right to make
modifications dependent upon pace and progress, and potential class
cancellations, e.g. snow days
Date | Lecture Topic | Notes | |
Tue | Aug 25 | Chapter R: Review of Basic Algebra | |
Thu | Aug 27 | Chapter 1: Solving Linear Equations | Chapter R Quiz |
Tue | Sep 01 | ||
Thu | Sep 03 | Chapter 1 Quiz | |
Tue | Sep 08 | Chapter 2: Graphs, Functions, and Applications | |
Thu | Sep 10 | Chapter 2 Quiz | |
Tue | Sep 15 | Review Session | |
Thu | Sep 17 | Exam # | Covers Chapters R, 1, and 2 |
Tue | Sep 22 | Chapter 3: Systems of Equations | |
Thu | Sep 24 | ||
Tue | Sep 29 | Chapter 3 Quiz | |
Thu | Oct 01 | Chapter 4: Polynomials and Polynomial Functions | |
Tue | Oct 06 | ||
Thu | Oct 08 | Chapter 4 Quiz | |
Tue | Oct 13 | Review Session | |
Thu | Oct 15 | Exam #2 | Covers Chapters 3, and 4 |
Tue | Oct 20 | Chapter 5: Rational Expressions, Equations and Functions | |
Thu | Oct 22 | ||
Tue | Oct 27 | Chapter 5 Quiz | |
Thu | Oct 29 | Chapter 6: Radical Expressions, Equations and Functions | |
Tue | Nov 03 | ||
Thu | Nov 05 | Chapter 6 Quiz | |
Tue | Nov 10 | Review Session | |
Thu | Nov 12 | Exam #3 | |
Tue | Nov 17 | Chapter 7: Quadratic Equations and Functions | |
Thu | Nov 19 | ||
Tue | Nov 24 | ||
Thu | Nov 26 | Thanksgiving recess | College closed |
Tue | Dec 01 | Chapter 7 Quiz | |
Thu | Dec 03 | Chapter 8: Exponential and Logarithmic Functions | |
Tue | Dec 08 | ||
Thu | Dec 10 | Review Session | Chapter 8 Quiz |
Tue | Dec 15 | Final Exam | Cumulative Exam |