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MAT 136  Intermediate Algebra and Trigonometry ()  Prerequisite: MAT 096 ElementaryAlgebra and Trigonometry 
Informal description: This course the first step for peoplewho want to learn the algebra and trigonometry necessary for advanced mathematicalapplications and calculus. The course requires the use of a graphing calculator.  Courses this course is a prerequisite for:

Course Description: Rational exponents; synthetic division; rationalexpressions; completing the square; circles; complex numbers; quadraticformula; linear systems; inverse functions; graphs and propertiesof logarithms and exponential functions; reference angles; radian measure;graphs of sine, cosine, and tangent; basic trigonometric identities andequations; Law of Sines; Law of Cosines.
4 class hours.
Objectives: The student should be able to: Perform skills in three categories: Algebra, Geometry/Trigonometry,Graphing and Graphing Calculator. Note: Throughout the course the students are expected to solve appliedproblems related to the topics of the course. Algebra: the student should be able to: Geometry/Trigonometry: the student should be able to: Use radians to measure angles.
 Find reference angles for angles measured in degrees and radians.
 Find the trigonometric functions for a general angle.
 Use reciprocal, Pythagorean, and double angle trigonometric identities.
 Solve trigonometric equations.
 Perform operations on and factor trigonometric expressions.
 Use the distance and midpoint formulas.
Graphing: the student should be able to: Identify and graph the following families of relations:
 Graph functions and relations by using various graphing techniques: symmetry,reflection, and translation.
 Graph inverse functions.
Graphing Calculator: the student should be able to: 
Course Outline I. Polynomials and Factoring  Arithmetic operations and simplification using general factoring techniques
 Long division of general polynomials
 Synthetic division
II. Rational Expressions  Arithmetic operations and simplification of general rational expressions
III. Absolute Value Functions  Graphing techniques
 Equations and inequalities involving absolute values of general expressions
 Applications
IV. Exponents, Radicals, and Complex Numbers  Rational exponents and general radical expressions
 Operations and simplification of radical expressions
 Complex numbers
 Operations and simplification of complex numbers
V. Equations and Inequalities  Linear equations and inequalities and their graphs
 Quadratic formula, quadratic equations and inequalities and their graphs
 Absolute value equations and their graphs
 Rational equations
 Equations involving rational exponents and radicals
 Applications
 VI. Functions and Graphs  Functional terminology and notation
 Graphs of functions
 Graphing techniques of symmetry
 Reflection, translation, dilation and contraction
 Functional operations, function composition, inverse functions and theirgraphs
VII. Exponential and Logarithmic Functions  Graphs and properties of exponential and logarithmic functions
VIII. Trigonometric Functions IX. Systems of Equations and Inequalities  Systems of linear equations in two and three variables
 Determinants of 2x2 and 3x3 matrices
 Cramer's Rule
 Systems of linear inequalities
 Systems involving seconddegree equations
 Applications
X. Analytic Geometry  Distance and midpoint formulas
 Completing the square
 Equations and graphs of general circles
