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FINITE
MATHEMATICS |
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Class Hours: 3.0 |
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Credit Hours: 3.0 |
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Laboratory Hours: 0.0 |
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Date Revised: Fall 2007 |
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Catalog Course Description: |
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Linear functions and applications, interest, annuities, amortization, systems of linear equations including Gauss-Jordan elimination, and matrix theory. Linear programming using graphical and simplex methods. ACT math score of at least 21 is recommended. |
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Entry Level Standards: |
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Students must be able to read at the college level. |
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Prerequisites: |
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High school algebra I,
algebra II, precalculus and satisfactory placement |
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Textbook(s) and Other Reference Materials Basic to the Course: |
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Textbook: Lial, Hungerford, Holcomb. Mathematics with Applications. Ninth Edition. Addison Wesley, 2007 Recommended
Reference: Lial/Greenwell/Ritchey. Finite Mathematics, Eighth ed. Addison
Wesley, Personal
Equipment: |
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I. Week/Unit/Topic Basis: |
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Week |
Topic |
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1 |
Review of Real Numbers, Polynomials, Factoring, Rational Expressions, Exponents and Radicals, Linear and Quadratic Equations |
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2 |
Linear Function and Applications; Regression |
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3 |
Applications with Polynomial and Rational Functions, Review of Exponential and Logarithmic Functions |
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4 |
Test # 1, Simple and Compound Interest Formulas |
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5 |
Annuities, Sinking Funds and Amortization |
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6 |
Mathematics of Finance Review, Test # 2 |
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7 |
Solving systems of Linear Equations |
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8 |
The Gauss-Jordan Method and Basic Matrix Operations |
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9 |
Matrix Products and
Inverses, Applications of Matrices |
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10 |
Review of Matrices, Test # 3 |
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11 |
Graphing Linear Inequalities, linear programming |
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12 |
Applications of Linear Programming, Maximization Using the Simplex Method |
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13 |
Maximization Applications, Minimization Using the Simplex Method |
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14 |
Minimization Applications, Review |
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15 |
Final Exam |
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II. Course Objectives*: |
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A. |
Demonstrate mastery of the algebraic and linear programming skills necessary for success in the technologies. VI. 1,2,3,4,5 |
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B. |
Translate verbal situations into algebraic equations. VI. 3,4 |
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C. |
Construct and discuss mathematical models. VI. 2,4,6 |
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D. |
Use the Simplex method to
solve maximization or minimization problems. VI. 1,4,5,6 |
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E. |
Use mathematics to solve business problems and related business applications. VI. 3,4,5,6 |
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*Roman numerals after course objectives reference goals of the TBR program. |
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III. Instructional Processes*: |
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Students will: |
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1. |
Use graphing calculator and/or computer software to solve finance problems. Technological Literacy Outcome, Mathematics Outcome, Active Learning Strategy |
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2. |
Work collaboratively and/or individually to complete laboratory exercises related to real-world business problems such as revenue, profit, break-even analysis, and supply and demand. Mathematics Outcome, Communication Outcome, Transitional Strategy, Active Learning Strategy |
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Engage in collaborative activities such as modeling projects, presentations, group assignments, and/or other activities involving linear programming. Mathematics Outcome, Active Learning Strategy |
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*Strategies and outcomes listed after instructional processes reference TBR's goals for strengthening general education knowledge and skills, connecting course work to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process. |
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IV. Expectations for Student Performance*: |
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Upon successful completion of this course, the student should be able to: |
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1. |
Graph systems of linear inequalities. A |
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2. |
Algebraically solve systems of equations. A |
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3. |
Solve linear programming problems graphically. A, B, C |
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4. |
Use basic matrix operations and discover their relationships to systems of equations. E |
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5. |
Use the Gauss-Jordan method to solve systems of linear equations. D |
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6. |
Solve and apply the Simplex Method to linear programming problems. A, B, D, E |
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7. |
Calculate simple and compound interest. A, E |
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8. |
Determine future amount and the present value of an annuity. A, E |
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*Letters after performance expectations reference the course objectives listed above. |
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V. Evaluation: |
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A. Testing Procedures: |
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Students are evaluated
primarily on the basis of |
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B. Other Evaluation Methods: |
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As assigned by instructor |
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C. Grading Scale: |
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93
- 100 A |
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VI. Policies: |
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A. Attendance Policy: |
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B. Academic Dishonesty: |
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Individual
instructors must distribute their policies on academic dishonesty and
calculator use during the first week of
classes. In addition to other possible
disciplinary sanctions that may be imposed as a result of academic
misconduct, the instructor has the authority to assign either (1) an F or a
zero for the assignment or (2) an F for the course. |
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C. Accommodations for Disabilities |
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If you need accommodations because of a
disability, if you have emergency medical information to share, or if you
need special arrangements in case the building must be evacuated, please
inform the instructor immediately. Please see the instructor privately after
class or in his/her office. Students must present a current accommodation
plan from a staff member in Services for Students with Disabilities (SSWD) in
order to receive accommodations in this course. Services for Students with
Disabilities may be contacted by going to Goins 127
or 131 or by phone: 694-6751(Voice/TTY) or 539-7153. |
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D. Other Policies: |
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Make-up work: Instructor discretion about make-up Cell phones: Cell phones are to be either turned off or
put on vibration mode while in class.
Instructor discretion as to penalty. |
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