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# College Algebra II and Analytic Geometry

Course Outline
From the PSU Bulletin: MATH 022 (GQ) COLLEGE ALGEBRA II AND
ANALYTIC GEOMETRY
Relations, functions, graphs; polynomial, rational functions, graphs;
word problems; nonlinear inequalities; inverse functions;
exponential, logarithmic functions; conic sections; simultaneous
equations. Prerequisite: MATH 021 or satisfactory performance on the
mathematics proficiency examination

Grading Policy and Requirements: Unless otherwise noted,
homework assignments are due at the start of class on the due date.
Late homework assignments will receive a grade of 0. Make-up quizzes
and exams will not be given. Exceptions will be made to the above
with permission from the instructor if circumstances warrant. See
Other Policies and Guidelines for more detail.

 Item Value Total 5 quizzes 20 points each 100 points 8 graded homework assignments 10 - 15 points each 100 points Midterm exam 100 points 100 points Final exam 100 points 100 points Total 400 points

 Grade Range Letter Grade Grade Range Letter Grade Homework Assignments
Assignments will be posted on the class web page in PDF or
ZIP format.

Weekly Syllabus - Schedule is approximate and subject to slight
modification. Quiz dates will be announced.

 Week Topics 1 Discussion of course requirements and web access to course material. FUNDAMENTALS: Factoring: binomials, polynomials; Multiplying polynomials; Rational expressions 2 EQUATIONS AND INEQUALITIES: Linear Equations; Word Problems involving linear equations; Linear inequalities; Complex Numbers; 3 – 4 QUADRATIC EQUATIONS AND INEQUALITIES: Quadratic Equations and the Quadratic Formula; The method of Completing the Square; Application of Quadratic Equations; Other Types of Equations and Inequalities 5 ABSOLUTE VALUE EQUATIONS AND INEQUALITIES: Properties of absolute value; Solving equations involving absolute value; Solving absolute value inequalities; 6 THE RECTANGULAR COORDINATE SYSTEM: The distance and midpoint formula; Equation and graphs of Circles; Relations and Functions - domain and range; 7 – 8 THE RECTANGULAR COORDINATE SYSTEM CONTINUED: Linear Functions; Point-Slope and Slope-Intercept form of the equation of a line; Vertical and Horizontal lines; Parallel and Perpendicular Lines; Basic Functions; Graphing Techniques; Functions Composition. Midterm Exam: tentative date Friday 10/9/2009 9 GRAPHS OF BASIC FUNCTIONS: Graphs of x, x2, x3, |x|, square root, cube root; Translating, stretching, reflections; Symmetry COMPOSITION OF FUNCTIONS: Arithmetic operations on functions; composition of functions; domain and range of newly formed functions 10 – 11 POLYNOMIAL AND RATIONAL FUNCTIONS: Graphs of Quadratic and other Polynomial Functions. Roots of Polynomial functions. The Remainder Theorem and The Factor Theorem. Division of Polynomials. Graphs of Rational Functions - domain and range. 12 – 13 EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. The Exponential Function y=ex. Logarithmic Functions. Properties of Logarithms. Equations and Inequalities with Logs and Exponents. Compound Interest. Exponential Growth and Decay. 14 SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES: Solving linear systems of equations using substitution and elimination. Geometric interpretation of a linear system. Linear inequalities. 15 ANALYTIC GEOMETRY: The Basic Equations. The Parabola. Tangents to Parabolas (Optional). The Ellipse. The Hyperbola. The Focus-Directrix Property of Conics. Exam week Final Exam as Scheduled