  
Student Learning Outcomes 
 Students will solve a variety of applications related to linear, quadratic, exponential, and logarithmic growth.
 Students will develop conceptual understanding of four representations of a function: algebraic model, graph, table, verbal description. They will demonstrate and communicate this understanding in a variety of ways, such as: reasoning with definitions and connecting multiple representations.
 Students will demonstrate the ability to simplify linear, quadratic, rational, radical, exponential, and logarithmic expressions and solve equations.

Description  
 This course will cover content from two algebra courses, beginning and intermediate algebra. The content consists of linear equations, linear inequalities, linear systems, polynomials with focus on quadratics, rationals, radicals, absolute values, exponential and logarithmic functions. Relationships between analytical, graphical, numerical, and verbal approaches will be emphasized.


Course Objectives  
 The student will be able to:
 Identify, graph, manipulate analytically, and use in an application for linear equations/functions.
 Identify, graph, manipulate analytically, and use in an application for linear inequalities.
 Identify, graph, manipulate analytically, and use in an application for linear systems
 Identify, graph, manipulate analytically, and use in an application for polynomial equations/functions.
 Identify, graph, manipulate analytically, and use in an application for absolute value equations/functions.
 Identify, graph, manipulate analytically, and use in an application for rational equations/functions.
 Identify, graph, manipulate analytically, and use in an application for radical equations/functions.
 Identify, graph, manipulate analytically, and use in an application for exponential equations/functions.
 Identify, graph, manipulate analytically, and use in an application for logarithmic equations/functions.
 Use technology such as graphing calculators and/or computer algebra system to assist in solving problems involving any of the topics in (A) through (I)
 Discuss mathematical problems and write solutions in accurate mathematical language and notation
 Interpret mathematical solutions

Special Facilities and/or Equipment  
  Computers with internet access
 Graphing calculator

Course Content (Body of knowledge)  
  Linear equations/functions (Lec)
 Represent linear equation using equations, tables, and graphs
 Interpret the meaning of intercepts and slopes from a table, graph, or application problem
 Describe magnitude and direction of slope
 Identify types of solutions (no solution, all real numbers, or one solution) both graphically and analytically
 Find rate of change and intercepts
 Write an equation of a line given
 a slope and point
 two points
 Solve literal equations
 Translate word problems into linear equations
 Linear Inequalities (Lec)
 Solve using inequality notation
 Solve compound inequalities (or, and)
 Represent solutions using interval notation and graph
 Graphically solve linear inequalities
 Translate word problems into linear equalities
 Linear Systems (Lec)
 Determine the number of solutions for a system
 Interpret the solution of the system in context of the problem
 Identify types of solutions (i.e., no solution) both graphically and analytically
 Use different methods to solve and discuss relations between
 Elimination
 Substitution
 Graphical approach
 Translate word problems into system of linear equations
 Polynomial equations/functions (Lec)
 Determine the degree of the polynomials
 Identify the domain and range
 Quadratic equations
 identify the vertex and axis of symmetry
 represent quadratic equations in standard and vertex form
 demonstrate the impact of parameter a, b, and c from the quadratic equation y = ax^2+bx+c
 identify the intercepts
 solve by factoring, completing the square, and quadratic formula
 Translate word problems into polynomial equations
 Absolute Value (Lec)
 Analytically and graphically solve absolute value equations
 Identify types of solutions (no solution, one solution, or two solutions)
 Translate word problems into absolute value equations
 Rational Equations (Lec)
 Unit Conversion
 proportional reasoning
 Operations with like and unlike rationals
 Identify domain and range of rationals
 simplify via factoring
 Add, subtract, multiply, and divide rationals
 Translate word problems into rational equations
 Radical Equations (Lec)
 Identify domain and range of radicals
 Use conjugate
 Manipulate radicals using properties of radicals
 Use the power rule
 Operations on radicals (add, subtract, multiply, and divide)
 Translate word problems into radical equations
 Exponential Equations (Lec)
 Identify domain and range of exponentials
 Identify and interpret the growth rate
 Use properties of exponents to simplify
 Similar base properties (Uniqueness of b^x)
 Apply logarithmic properties to solve equations
 Translate word problems into exponential equations
 Logarithmic Equations (Lec)
 Identify domain and range of logarithm
 Use properties of logarithms
 contract or expand expressions
 simplify logarithmic expressions
 Operations on logarithms (add, subtract, multiply, divide)
 Converting logarithms into exponentials
 Use logarithmic property of equality to solve
 Translate word problems into logarithmic equations
 Technology
 Sample use of technology
 Graphing Calculator
 Computer Algebra System
 Mathematical Notation (Lec)
 Applications from various disciplines
 Use of proper math notation
 Identify and accurately use different types of modeling needed for each problem
 Interpret mathematical Solutions (Lec)
 Critical thinking
 Write using proper math notation

Methods of Evaluation  
  Homework
 Quizzes
 Hour exams
 Proctored comprehensive final exam
 Class participation
 Worksheets or cooperative activities
 Project

Representative Text(s)  
 Bittinger, Marvin Elementary and Intermediate Algebra+MyMathLab Package.Boston:Pearson Custom Publishing, 2012. Beoga.net Inc. Intermediate Algebra. V4. 2014.

Disciplines  
 Mathematics


Method of Instruction  
  Lecture
 Discussion
 Cooperative learning exercises


Lab Content  
 Not applicable.


Types and/or Examples of Required Reading, Writing and Outside of Class Assignments  
  Homework Problems: Homework problems covering subject matter from text and related material ranging from 30  100 problems per week. Students will need to employ critical thinking in order to complete assignments.
 Lecture: Ten hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
 Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems, write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as Mathematica or MATLAB.
 Worksheets: Problems and activities covering the subject matter.
