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MASTER SYLLABUS |
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MATH 1710 |
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| Class Hours: 3.0 | Credit Hours: 3.0 | ||||||||
| Laboratory Hours: 0.0 | Revised: Fall 04 | ||||||||
| Catalog Course Description: | |||||||||
| Precalculus Algebra for students in university parallel/transfer programs of science, mathematics, engineering or computer science. This is one of two courses in a sequence which prepares students for Calculus I. It provides a review of algebraic, logarithmic and exponential functions. Topics include systems of equations and inequalities, maximization, exponential and logarithmic functions and complex numbers. The MATH 1710 and 1720 sequence is strongly recommended for students who have completed DSPM 0850. | |||||||||
| Entry Level Standards: | |||||||||
| Students must be able to read at the college level. | |||||||||
| Prerequisites: | |||||||||
| High school algebra I and algebra II and ACT math score of at least 19; or DSPM 0850 or equivalent math placement score. | |||||||||
| Corequisites: | |||||||||
| Textbook(s) and Other Course Materials: | |||||||||
| Textbook:
Stewart, Redlin, and Watson. Algebra and Trigonometry. First Edition. Brooks/Cole, Pacific Grove, California, 2001. References: Larson, Hosteller and Edwards. Precalculus Functions and Graphs. Second Edition. Houghton Mifflin Company, Boston, Massachusetts, 1997. Personal Equipment: A graphics calculator is required for this course; the TI-83 or TI-83 Plus is recommended. A symbolic manipulator such as the TI-89 or TI-92 is not permitted. |
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| I. Week/Unit/Topic Basis: | |||||||||
| Week | Topic | ||||||||
| 1 | Rational Exponents and Radical Expressions 1.3, Rational Expressions 1.5 | ||||||||
| 2 | Cartesian Plane 2.1; Graphs of Equations 2.2; Lines 2.4 Complex numbers 3.4 | ||||||||
| 3 | Other Equations 3.5; Inequalities 3.6; Nonlinear inequalities 3.7 | ||||||||
| 4 | Absolute Value 3.8; Review, Test1 | ||||||||
| 5 | Function Notation 4.1; Graphs of functions 4.2 | ||||||||
| 6 | Applied Functions: Variation 4.3; Average Rate of change 4.4; Transformations 4.5; | ||||||||
| 7 | Quadratic Extrema 4.6; Combining and Composing Functions 4.7 | ||||||||
| 8 | Inverse Functions 4.8; Focus on Modeling, Review | ||||||||
| 9 | Test 2; Polynomial Functions and Analyzing Polynomial Graph Behavior 5.1; Dividing Polynomials with Synthetic and Long Division 5.2 | ||||||||
| 10 | Real Zeros of Polynomials 5.3; The Fundamental Theorem of Algebra (complex roots) 5.4; Rational Functions and Their Graphs, Analyzing Asymptotic Behavior (including oblique asymptotes) 5.5 | ||||||||
| 11 | Review, Test 3, Exponential Functions 6.1 | ||||||||
| 12 | The Natural Exponential
Function 6.2, Logarithmic Functions 6.3; Logarithmic
Properties 6.4 |
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| 13 | Logarithmic and Exponential Equations 6.5; Applications of Logarithmic and Exponential Functions (regression analysis) 6.6 | ||||||||
| 14 | Review, Test 4, Review for Final | ||||||||
| 15 | Final Exam | ||||||||
| II. Course Objectives*: | |||||||||
| A. | Demonstrate mastery of the algebraic and geometric manipulation skills necessary for success in the engineering technologies and transfer programs. VI. 2, 3 | ||||||||
| B. | Use and interpret function notation and concepts. VI. 2, 3 | ||||||||
| C. | Interpret algebraic graphs and detail their behavior. VI. 1, 2, 3 | ||||||||
| D. | Translate verbal situations into an algebraic equation by using appropriate problem-solving techniques. VI. 2, 3 | ||||||||
| E. | Solve and apply exponential and logarithmic equations. VI. 2, 3, 4, 5 | ||||||||
| F. | Demonstrate mastery of complex number arithmetic and equation solving. VI. 3, 4 | ||||||||
| G. | Fit data by modeling. VI. 1, 2, 3, 4 | ||||||||
| *Roman numerals after course objectives reference TBR's general education goals. | |||||||||
| III. Instructional Processes*: | |||||||||
| Students will: | |||||||||
| 1. | Work in teams to solve problems involving modeling. Communication Outcome, Numerical Literacy Outcome, Active Learning Strategy, Problem Solving and Decision Making Outcome | ||||||||
| 2. | Employ graphics calculators and/or computer software as tools for solving equations. Technological Literacy Outcome | ||||||||
| 3. | Analyze real life problems such as: usingexponential growth to find the best rate of increase in financial problems and studying population growth in diverse populations, and using exponential decay to find the rate of decay for various radioactive substances used in science and engineering. Problem Solving and Decision Making Outcome, Numerical Literacy Outcome, Transitional Strategy, Cultural Diversity and Social Adaptation Outcome | ||||||||
| 4. | Practice personal
integrity by being punctual, dependable and cooperative.
Personal Development Outcome |
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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. | |||||||||
| IV. Expectations for Student Performance*: | |||||||||
| Upon successful completion of this course, the student should be able to: | |||||||||
| 1. | Compute areas and volumes of simple geometric figures and solids. A | ||||||||
| 2. | Solve elementary algebraic equations and inequalities and literal formulas. A | ||||||||
| 3. | Understand and work with complex numbers. A, F | ||||||||
| 4. | Translate verbal situations into an algebraic equation by using appropriate problem-solving techniques. F | ||||||||
| 5. | Manipulate, analyze the behavior of and produce the graphs of polynomial and rational functions. B, C, F | ||||||||
| 6. | Solve equations algebraically, numerically and graphically. B, C | ||||||||
| 7. | Model data mathematically. G | ||||||||
| 8. | Solve fractional and quadratic equations and applications. A | ||||||||
| 9. | Simplify rational and fractional exponent expressions and convert to radical equivalent. A | ||||||||
| 10. | Convert from exponential to logarithmic form and vice versa. A | ||||||||
| 11. | Solve exponential and logarithmic equations and work problems. F, G | ||||||||
| 12. | Solve equations involving complex numbers. H | ||||||||
| 13. | Solve radical equations. A | ||||||||
| *Letters after performance expectations reference the course objectives listed above. | |||||||||
| V. Evaluation: | |||||||||
| A. Testing Procedures: | |||||||||
| Students are evaluated primarily on the basis of tests, quizzes, and homework. A minimum of four major tests is recommended. | |||||||||
| B. Laboratory Expectations: | |||||||||
| As assigned by instructor. | |||||||||
| C. Field Work: | |||||||||
| As assigned by instructor. | |||||||||
| D. Other Evaluation Methods: | |||||||||
| As assigned by instructor. | |||||||||
| E. Grading Scale: | |||||||||
| 93 - 100
A
88 - 92 B+ 83 - 87 B 78 - 82 C+ 70 - 77 C 60 - 69 D Below 60 F |
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| VI. Policies: | |||||||||
| A. Attendance Policy: | |||||||||
| Pellissippi State Technical Community College expects students to attend all scheduled instructional activities. As a minimum, students in all courses must be present for at least 75 percent of their scheduled class and laboratory meetings in order to receive credit for the course. Individual departments/programs/disciplines, with the approval of the vice president of Academic and Student Affairs, may have requirements that are more stringent. | |||||||||
| B. Academic Dishonesty: | |||||||||
| Individual instructors must distribute their policies on academic dishonesty and calculator use during the first week of classes. | |||||||||
| C. Accommodations for disabilities: | |||||||||
| If you
need accommodation 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. Privately
after class or in the instructor's office.
To request accommodations students must register with Services for Students with Disabilities: Goins 127 or 131, Phone: (865) 539-7153 or (865) 694-6751 Voice/TDD. |
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