COLLEGE ALGEBRA
MATH 111 (5 credit hrs)
Chemeketa Community College
College Credit Now (CCN)
Western Mennonite School Period 5 Course Syllabus Winter 2013 Instructor:
Dave Parker davep@westernmennoniteschool.org Room 4, weekdays 9:00 AM – 3:00 PM, 503-363-2000
Prerequisites:
Grade of “B” or better in High School Algebra 2 and teacher recommendation
Text:
Larson, Ron et al. Precalculus. Houghton Mifflin Company. Boston: 2004
Calculators:
A graphing calculator is required for this course. It is required that students become familiar with a graphing calculator at this level of mathematics.
Course Description: This course is the study of functions and includes polynomial, rational, exponential, logarithmic, and related piece-wise defined functions. The algebra of functions, complex numbers and sequential functions are also studied. Students are encouraged to discuss and investigate mathematics collaboratively. All course work may be done collaboratively, except individual exams.
Goals & Objectives: 1. 2. 3. 4. 5. 6. 7.
Create mathematical models of abstract and real world situations using these functions. Use inductive reasoning to develop math conjectures involving these function models. Use deductive reasoning to verify and apply mathematical arguments involving these models. (Distinguish between the uses of inductive and deductive reasoning.) Represent these functions in graphical, tabular, symbolic and narrative form, and then use mathematical problem solving techniques to solve problems involving these functions. Make mathematical connections to, and solve problems from other disciplines involving these functions, Use oral and written skills to individually and collaboratively communicate about these function models. Apply appropriate technology to enhance mathematical thinking and understanding, solve mathematical problems, and judge the reasonableness of their results.
Major Assumptions:
You can only learn math by doing math. Honest effort and doing your own work is more important than arriving at all the ‘right’ answers. Let’s make the journey count! Problem Solving is never accomplished without reaching a point of not knowing what to do, struggling with that, and overcoming.
Graded Criteria: Tests:
50%
Homework: 50%
Tests will be given over material in the text, as well as any additional information covered in class. They will consist of quizzes, chapter tests and a Final Exam. All mathematics is comprehensive and tests will contain previously covered material. Homework will be assigned frequently as it is an opportunity to practice. Due dates for homework will be decided according to class progress, no less than 2 days.
Classroom Participation:
We all come to learn from each other and will respect each other. Do not let your behavior limit another’s learning. Disruptive actions do this directly; nonparticipation does it indirectly. You are bound by the WMS student handbook.
College Algebra
Course Content Outline:
I)
Functions and Their Graphs a) Graphs of Equations b) Linear Equations in Two Variables c) Functions d) Analyzing Graphs of Functions e) A Library of Functions f) Shifting, Reflecting, and Stretching Graphs g) Combinations of Functions h) Inverse Functions i) Mathematical Modeling
II)
Polynomial and Rational Functions a) Quadratic Functions b) Polynomial Functions of Higher Degree c) Polynomial and Synthetic Division d) Complex Numbers e) Zeroes of Polynomial Functions f) Rational Functions g) Partial Fractions
III) Exponential and Logarithmic Functions a) Exponential Functions and Their Graphs b) Logarithmic Functions and Their Graphs c) Properties of Logarithms d) Exponential and Logarithmic Equations e) Exponential and Logarithmic Models IV) Sequences, Series, and Probability a) Sequences and Series b) Arithmetic Sequences and Partial Sums c) Geometric Sequences and Series d) Mathematical Induction e) The Binomial Theorem f) Counting Principles g) Probability V) a) b) c) d)
Systems of Equations and Inequalities Solving Systems of Equations Two-Variable Linear Systems Multivariable Linear Systems Systems of Inequalities
a) b) c) d) e)
Matrices and Determinants Matrices and Systems of Equations Operations with Matrices The Inverse of a Square Matrix The Determinant of a Square Matrix Applications of Matrices and Determinants
VI)
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