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SIMPLIFYING COMPLEX RATIONAL EXPRESSIONS SOLVER
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Thank you for visiting our site! You landed on this page because you entered a search term similar to this: simplifying complex rational expressions solver, here's the result: 
MAT 136 -- Intermediate Algebra and Trigonometry
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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:
    1. Use radians to measure angles.
    2. Find reference angles for angles measured in degrees and radians.
    3. Find the trigonometric functions for a general angle.
    4. Use reciprocal, Pythagorean, and double angle trigonometric identities.
    5. Solve trigonometric equations.
    6. Perform operations on and factor trigonometric expressions.
    7. Use the distance and midpoint formulas.


    Graphing:

  • the student should be able to:
    1. Identify and graph the following families of relations:

    1. Graph functions and relations by using various graphing techniques: symmetry,reflection, and translation. 
    2. 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 second-degree equations
    • Applications
    X. Analytic Geometry 
    • Distance and midpoint formulas
    • Completing the square
    • Equations and graphs of general circles