Form 2A, Page 1 FLORIDA STATE COLLEGE AT JACKSONVILLE COLLEGE CREDIT COURSE OUTLINE COURSE NUMBER: MAC 1140 COURSE TITLE: Precalculus Algebra PREREQUISITE(S): MAC 1105 with a grade of "C" or better; or a satisfactory score on the placement test COREQUISITE(S): None CREDIT HOURS: 4 CONTACT HOURS/WEEK: 4 CONTACT HOUR BREAKDOWN: Lecture/Discussion: Laboratory: Other __________: 4 FACULTY WORKLOAD POINTS: 4 STANDARDIZED CLASS SIZE ALLOCATION: 27 CATALOG COURSE DESCRIPTION: The major topics included in this course are linear equations and inequalities; quadratic equations and inequalities, relations, functions, and graphs; exponential and logarithmic functions; systems of equations and inequalities; higher degree polynomial equations; matrices and determinants; applications; sequences, series, and the binomial theorem; and mathematical proof. A review of algebraic techniques and operations as well as a review of exponents, radicals, complex numbers, and absolute value is also included in this course. SUGGESTED TEXT(S): Larson, College Algebra: Graphing Approach. HoughtonMifflin Co, current ed., ISBN 0-618-138838 package. Sullivan, College Algebra: Enhanced, etc., Pearson Education (Prentice Hall), current ed., ISBN 0-13-083335-5. Munem, College Algebra w/appl., Worth/VHPS, current ed., ISBN 0-87901-499-7 Form 2A, Page 2 SUGGESTED TEXT(S): (CONTINUED) Cohen, Pre-Calculus, Thomson Learning, Current ed., ISBN 0-34006921-6. Thinkwell’s Precalculus, current ed., ISBN 0-9678357-1-2 (CD ROMS). IMPLEMENTATION DATE: Fall Term, 1993 (941) (was MAC 1104) REVIEW OR MODIFICATION DATE: Fall Term, 1999 Fall Term, 2002 (20031) Spring Term, 2005 (20052) Fall Term 2006 (20061) Fall Term, 2008 (20091) – Outline Review 2007 Fall Term, 2009 (20101) Fall Term, 2012 (20131) GER Course Outline Review Form 2A, Page 3 COURSE TOPICS I. Review of Algebraic Techniques A. B. II. B. C. D. E. III. IV. V. B. C. 9 Linear Systems of Equations Linear Systems of Inequalities Linear Programming (Optional) Nonlinear Systems Higher Degree Polynomials and Equations A. 7 Exponential Functions Logarithmic Functions Natural and Common Logarithms Exponential and Logarithmic Equations Applications Systems of Equations and Inequalities A. B. C. D. 8 Functions and Their Graphs 1. Properties of Functions 2. Polynomial Functions 3. Rational Functions 4. Inverse Functions 5. Piece-Wise Defined, Greatest Integer Algebra of Functions Graphing 1. Methods 2. Linear Equations and Inequalities 3. Conic Sections Variation Translations Exponential and Logarithmic Functions A. B. C. D. E. 4 Exponents, Radicals, Complex Numbers, and Absolute Value Equations and Inequalities 1. Polynomial Inequalities 2. Rational Inequalities Relations, Functions, and Graphs A. CONTACT HOURS __PER TOPIC__ Remainder, Factor, and Rational Root Theorems Synthetic Division Roots of Higher Degree Polynomial Equations 10 Form 2A, Page 4 COURSE TOPICS (CONTINUED) D. E. F. VI. VII. C. 8 Summation Notation Arithmetic and Geometric Sequences and Series Binomial Theorem Mathematical Proof A. B. C. D. 10 Matrix Algebra Systems of Linear Equations Inverses of Square Matrices Determinants and Cramers Rule Nonlinear Systems Gauss-Jordan Method Sequences, Series, and the Binomial Theorem A. B. VIII. Fundamental Theorem of Algebra Partial Fractions Curve Sketching Matrices and Determinants A. B. C. D. E. F. CONTACT HOURS __PER TOPIC__ Axioms of Real Numbers Techniques-Mathematical Proofs Mathematical Induction Real Number Theorems 4 Florida State College At Jacksonville Course Learning Outcomes & Assessment NOTE: Use either the Tab key or mouse click to move from field to field. The box will expand to accommodate your entry. Section 1 SEMESTER CREDIT HOURS (CC): CONTACT HOURS (NCC): 4 COURSE PREFIX AND NUMBER: MAC 1140 COURSE TITLE: Precalculus Algebra Section 2 TYPE OF COURSE: (Click on the box to check all that apply) AA Elective AS Required Professional Course College Prep AS Professional Elective AAS Required Professional Course Technical Certificate Other PSAV Apprenticeship General Education: (For General Education courses, you must also complete Section 3 and Section 7) Section 3 (If applicable) INDICATE BELOW THE DISCIPLINE AREA FOR GENERAL EDUCATION COURSES: Communications Social & Behavioral Sciences Natural Sciences Humanities Mathematics Section 4 INTELLECTUAL COMPETENCIES: Reading Speaking Critical Analysis Writing Listening Information Literacy Quantitative Skills Ethical Judgment Scientific Method of Inquiry Working Collaboratively Section 5 STATE GENERAL EDUCATION LEARNING OUTCOME AREA Communication Critical Thinking Scientific and Quantitative Reasoning Information Global Sociocultural Responsibility Literacy Section 6 LEARNING OUTCOME Students will identify the nature of 2 mathematical problems Students will formulate /translate problems into mathematical 3 language Students will use various mathematical methods to 4 correctly solve problems Type of Outcome Gen.Ed, Program, Course Gen. Ed /Discipline Gen. Ed /Discipline Gen. Ed /Discipline METHOD OF ASSESSMENT Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Section 6 (Continued) LEARNING OUTCOME Type of Outcome Gen.Ed, Program, Course Students will use critical thinking in interpreting data and/or drawing conclusions from the 5 results of a mathematical problems Gen. Ed /Discipline Students will use technology as appropriate in analyzing data or solving mathematical problems Students will be able to represent and explain mathematical information graphically verbally, numerically and symbolically Gen. Ed /Discipline Use algebraic techniques, including analytical, numerical, graphical, verbal, and technology 3 aided procedures to solve equations and inequalities Represent algebraic functions and relations symbolically, 4 graphically, numerically and verbally Demonstrate an understanding 5 of matrices and determinants Demonstrate and understanding of 6 sequences, series, and binomial theorem Use techniques of mathematical 7 proof Apply algebraic techniques, including analytical, numerical, graphical, verbal, technology 8 aided procedures, and modeling techniques to solve real-world problems. METHOD OF ASSESSMENT Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Discipline Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Course Students complete in-class, out-of-class or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects Students complete in-class, out-of-class or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects Students complete in-class, out-of-class or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects Students complete in-class, out-of-class or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects Students complete in-class, out-of-class or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects Students complete in-class, out-of-class or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects Section 6 (Continued) LEARNING OUTCOME Type of Outcome Gen.Ed, Program, Course Demonstrate an understanding of quantitative literacy in solving 9 mathematical problems METHOD OF ASSESSMENT Students are successful on in-class, out-of-class or online assignments. Such assignments may include any combination of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or individual or group projects. Such assignments may require the use of calculators or computer programs. An assessment may also require that the student be able to give a clear, step-by-step, verbal or written explanation of the procedure used to represent/solve the problem. Section 6 Name of Person Completing This Form: Matthew Mitchell Date: 4/26/11

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