# NEOSHO COUNTY COMMUNITY COLLEGE MASTER COURSE SYLLABUS

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1 NEOSHO COUNTY COMMUNITY COLLEGE MASTER COURSE SYLLABUS COURSE IDENTIFICATION Course Code/Number: MATH 113 Course Title: College Algebra Division: Applied Science (AS) Liberal Arts (LA) Workforce Development (WD) Health Care (HC) Lifetime Learning (LL) Nursing Developmental Credit Hour(s): 3 Effective Date: Summer 2013 Assessment Goal Per Outcome: 70% COURSE DESCRIPTION This is a standard College Algebra course designed for students that have successfully completed Algebra I and Algebra II in high school. It will satisfy the general education requirement for College Algebra and will transfer to all Kansas Regents institutions. This class is also for students earning an A or B in Intermediate Algebra MATH 112. Topics covered are: polynomials, rational expression and radicals, equations and inequalities, absolute value, functions and graphs, rational functions, exponential and logarithmic functions, conic sections, matrices and systems of equations and inequalities. Students will be expected to have access to and use graphing calculator (TI-83 is recommended). MINIMUM REQUIREMENTS/PREREQUISITES AND/OR COREQUISITES Algebra I and Algebra II in high school in addition to a recommendation by a COMPASS/ACT score, or an A or B grade in Intermediate Algebra MATH 112, or consent of the instructor. TEXTS * The official list of textbooks and materials for this course is found on Inside NC. Click this link to go to Inside NC and look up your course in the schedule to find materials for it.

2 GENERAL EDUCATION OUTCOMES 1. Practice Responsible Citizenship through: identifying rights and responsibilities of citizenship, identifying how human values and perceptions affect and are affected by social diversity, identifying and interpreting artistic expression. 2. Live a healthy lifestyle (physical, intellectual, social) through: listing factors associated with a healthy lifestyle and lifetime fitness, identifying the importance of lifetime learning, demonstrating self-discipline, respect for others, and the ability to work collaboratively as a team. 3. Communicate effectively through: developing effective written communication skills, developing effective oral communication and listening skills. 4. Think analytically through: utilizing quantitative information in problem solving, utilizing the principles of systematic inquiry, utilizing various information resources including technology for research and data collection. COURSE OUTCOMES/COMPETENCIES The following is the official list of competencies for College Algebra submitted by the Kansas Core Outcomes Project and approved by the Kansas Board of Regents. Analysis and Graphing of Functions and Equations Use functional notation. Recognize and distinguish between functions and relations (equations). Use concepts of symmetry, intercepts, left- and right-hand behavior, asymptotes, and transformations to sketch the graph of various types of functions (constant, linear, quadratic, absolute value, piecewise-defined, square root, cubic, polynomial, rational, exponential, and logarithmic) or relations (circle) given in description. Determine the domain and range of a function. Write the equation that describes a function (for types given above) or circle given its description. Use graphs of functions for analysis. Find arithmetic combinations and composites of functions. Find the inverse of a function. Solutions of Equations and Inequalities Solve equations listed in the third bullet above, i.e., literal equations, quadratic equations by factoring and the quadratic formula, equations involving rational expressions, equations involving radicals, and equations involving absolute value expressions, along with equations involving exponential or logarithmic functions.

3 Solve inequalities of the following types: linear (in one and two variables), polynomial, rational, absolute value. Solve systems of inequalities by graphing. Apply equations from the first bullet in this core outcome to real-world situations, including but not limited to depreciation, growth and decay, and max/min problems. Examine and analyze data, make predictions/interpretations, and do basic modeling. Solve systems of equations by various methods, including matrices. These competencies are mandatory and will be assessed within the following outcomes as defined by Neosho County Community College. All students will be expected to demonstrate their ability (using appropriate technology) to do the following: 1. Manipulate and simplify algebraic expressions. a. Factor polynomials b. Simplify exponent and radical expressions c. Simplify logarithmic expressions using the rules of logarithms d. Evaluate expressions by substituting given values for the variable(s) e. Perform arithmetic of polynomial and rational expressions. 2. Recognize and employ the basic language and algebra of functions. a. Identify and distinguish between functions and relations b. Apply and interpret function notation c. Write the equation of a function or relation (circle) given its description (this description may entail transformations) d. Determine the domain and range of a function. e. Derive arithmetic combinations, composites, and inverses of functions 3. Solve equations, inequalities, and systems of various types. This includes solving: a. Linear equations b. Quadratic equations by the factoring method and the quadratic formula c. Rational equations d. Radical equations e. Equations involving absolute value f. Exponential and Logarithmic equations g. General higher degree polynomial equations h. Literal equations i. Linear, polynomial, rational, and absolute value inequalities j. Systems of two or more equations by elimination, substitution, or using matrices k. Systems of inequalities by graphing methods.

4 4. Utilize concepts of symmetry, intercepts, left- and right-end behavior, asymptotes, and transformations to sketch and interpret the graphs of functions or relations of the following types: a. Circles b. Constant functions c. Linear functions d. Quadratic functions e. Absolute Value functions f. Piecewise-defined functions g. Square root functions h. Cubic functions i. Higher degree polynomial functions (degree four or higher) j. Rational functions k. Exponential functions l. Logarithmic functions 5. Apply solution techniques and function theory to application problems, including idealized real world scenarios. a. Translate application problems into one or more equations, inequalities, or functions. b. Solve applications of depreciation, growth and decay, and maximum/minimum problems. c. Use functions and their graphs to model, solve, or predict outcomes for real world problems. MINIMUM COURSE CONTENT The following topics must be included. However, the course is not limited to these topics. The order of topics is up to the discretion of the instructor. Prerequisites Review of Real Numbers and Their Properties Exponents and Radicals Polynomials and Special Products Factoring Polynomials Rational Expressions The Rectangular Coordinate System and Graphs Equations, Inequalities, and Mathematical Modeling Graphs of Equations Linear Equations in One Variable Modeling with Linear Equations Quadratic Equations and Applications Complex Numbers

5 Other Types of Equations Linear Inequalities in One Variable Other Types of Inequalities Functions and Their Graphs Linear Equations in Two Variables Functions Analyzing Graphs of Functions A Library of Parent Functions Transformations of Functions Combinations of Functions: Composite Functions Inverse Functions Polynomial Functions Quadratic Functions and Models Polynomial Functions of Higher Degree Polynomial and Synthetic Division Zeros of Polynomial Functions Mathematical Modeling and Variation Rational Functions and Conics Rational Functions and Asymptotes Graphs of Rational Functions Conics (Optional) Translations of Conics (optional) Exponential and Logarithmic Functions Exponential Functions and Their Graphs Logarithmic Functions and Their Graphs Properties of Logarithms Exponential and Logarithmic Equations Exponential and Logarithmic Models Systems of Equations and Inequalities Linear and Nonlinear Systems of Equations Two-Variable Linear Systems Multivariable Linear Systems Partial Fractions (optional) Systems of Inequalities Linear Programming Matrices and Determinants Matrices and Systems of Equations Operations with Matrices (optional) The Inverse of a Square Matrix (optional) The Determinant of a Square Matrix (optional) Applications of Matrices and Determinants (optional)

7 3. Absences that occur due to students participating in official college activities are excused except in those cases where outside bodies, such as the State Board of Nursing, have requirements for minimum class minutes for each student. Students who are excused will be given reasonable opportunity to make up any missed work or receive substitute assignments from the instructor and should not be penalized for the absence. Proper procedure should be followed in notifying faculty in advance of the student s planned participation in the event. Ultimately it is the student s responsibility to notify the instructor in advance of the planned absence. ACADEMIC INTEGRITY NCCC expects every student to demonstrate ethical behavior with regard to academic pursuits. Academic integrity in coursework is a specific requirement. Definitions, examples, and possible consequences for violations of Academic Integrity, as well as the appeals process, can be found in the College Catalog, Student Handbook, and/or Code of Student Conduct and Discipline. ELECTRONIC DEVICE POLICY Student cell phones and other personal electronic devices not being used for class activities must not be accessed during class times unless the instructor chooses to waive this policy. NOTE: Information and statements in this document are subject to change at the discretion of NCCC. Students will be notified of changes and where to find the most current approved documents. NOTE: If you are a student with a disability who may need accommodation(s) under the Americans with Disabilities Act (ADA), please notify studentdevelopmentteam@neosho.edu, Chanute Campus, , Ext. 213., or Ottawa Campus, ext. 305, as soon as possible. You will need to bring your documentation for review in order to determine reasonable accommodations, and then we can assist you in arranging any necessary accommodations. COURSE NOTES All students will be expected to have a graphing calculator (TI-83/84 or 83/84+ recommended).

### COURSE SYLLABUS. TEXTS *The official list of textbooks and materials for this course are found on Inside NC.

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