| IV. |
Learning Objectives |
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A. Understand the concepts of relation and function. |
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B. Understand the use of function notation. |
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C. Understand the relationship between a function and
its inverse. |
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D. Graph and recognize the basic characteristics for
the following functions: linear, quadratic, polynomial, rational, exponential,
and logarithmic. |
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E. Solve systems of linear and nonlinear equations and
inequalities. |
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F. Apply the concepts of sequence and series. |
| V. |
Academic Integrity |
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The very nature of higher education requires that students
adhere to accepted standards of academic integrity. Therefore Oakton Community
College has adopted a Code of Academic Conduct and a Statement of Student
Academic Integrity. These may be found in the Student Handbook. You may
also find a summary of the Code of Academic Conduct on the College Catalog.
Among the violations of academic integrity listed and defined are: Cheating,
plagiarism, falsification and fabrication of records and official documents,
personal misrepresentation and proxy, and bribes, favors, and threats. |
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It is the student's responsibility to be aware of behaviors
that constitute academic dishonesty. |
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Pursuant to the due process guarantees contained in the
Policy and Procedures on Student Academic Integrity, the minimum punishment
for the first offense for a student found in violation of the standards
of academic integrity is failure in the assignment. In addition, 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. |
| VI. |
COURSE TOPICS: |
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A. Functions and their graphs |
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1. Operations on functions: combinations |
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2. Graphing techniques |
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3. Translations |
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4. Inverse functions |
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B. POlynomial Functions: Graphs and Zeros |
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1. Quadratic functions |
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2. Polynomial functions of higher degree |
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3. Remainder and Factor Theorems |
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4. Complex zeros of polynomial functions |
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5. Fundamental Theorem of Algebra |
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6. Applications |
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C. Rational Functions and Conic Sections |
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1. Rational functions and their graphs |
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2. Conic sections |
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a. Center at origin |
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b. Translations |
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D. Exponential and Logarithmic Functions |
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1. Exponential functions and their graphs |
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2. Logarithmic functions and their graphs |
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3. Properties of logarithms |
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4. Solving exponential and logarithmic equations |
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5. Applications |
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E. Systems of Equations and Inequalities |
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1. Linear systems |
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2. Nonlinear systems |
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3. System of linear and nonlinear inequalities |
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4. Applications |
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F. Sequences and Series |
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1. Fundamentals of sequences and series |
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2. Arithmetic sequences |
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3. Geometric sequences |
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4. Binomial Theorem |
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5. Applications |
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