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Advanced Algebraic Concepts and Applications in Mathematics

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Advanced Algebraic Concepts and Applications in Mathematics
  • Description
  • Outcome
  • Certification
  • This course is ideal for people who want to gain a thorough understanding and knowledge of advanced topics in algebra.


    The advanced algebra topics include linear equations, inequalities, graphs, matrices, polynomials, radical expressions, quadratic equations, functions, exponential, logarithmic expressions, sequences, series, probability and trigonometry.


    The course is divided into 13 modules and each module is divided into lessons with theory, examples and video explanations, making for an enhanced study experience.

  • Upon completion of this course you will be able to solve equations, and simplify expressions and inequalities. You will know how to represent functions and linear equations on a graph. You will be able to calculate equations of two or three variables. You will learn how to operate with matrices and simplify polynomials and radical expressions. This course will demonstrate how to graph a quadratic function, solve conic sections, polynomial functions, rational expressions, exponential and logarithmic functions. You will understand how to solve geometric sequences and series. You will learn about the Binomial theorom. You will be more aware of permutations, combinations, probabilities and trigonometric functions such as angles, sines, cosines, circular functions and inverse functions.

  • All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

    Having an official Alison document is a great way to share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Modules List( 14 )
  • Advanced Algebraic Concepts and Applications in Ma...
  • Module 1: Equations and inequalities
    • Solve equations and simplify expressions
    • Line plots and stem-and-leaf plots
    • Absolute value
    • Solve inequalities
  • Module 2: How to graph functions and linear equations
    • Functions and linear equations
    • Graph functions and relations
    • Graph inequalities
  • Module 3: How to solve system of linear equations
    • Solving systems of equations in two variables
    • Solving systems of equations in three variables
  • Module 4: Matrices
    • Basic information about matrices
    • How to operate with matrices
    • Determinants
    • Using matrices when solving system of equations
  • Module 5: Polynomials and radical expressions
    • Simplify expressions
    • Polynomials
    • Factoring polynomials
    • Solving radical equations
    • Complex numbers
  • Module 6: Quadratic functions and inequalities
    • How to graph quadratic functions
    • How to solve quadratic equations
    • The Quadratic formula
    • Standard deviation and normal distribution
  • Module 7: Conic Sections
    • Distance between two points and the midpoint
    • Equations of conic sections
  • Module 8: Polynomial functions
    • Basic knowledge of polynomial functions
    • Remainder and factor theorems
    • Roots and zeros
    • Descartes´rule of sign
    • Composition of functions
  • Module 9: Rational expressions
    • Variation
    • Operate on rational expressions
  • Module 10: Exponential and logarithmic functions
    • Exponential functions
    • Logarithm and logarithm function
    • Logarithm property
  • Module 11: Sequences and series
    • Arithmetic sequences and series
    • Geometric sequences and series
    • Binomial theorem
  • Module 12: Discrete mathematics and probability
    • Counting principle
    • Permutations and combinations
    • Probabilities
  • Module 13: Trigonometry
    • Trigonometric functions
    • Angles
    • Sines
    • Cosines
    • Circular functions
    • Inverse functions
    • Trigonometric identities
  • End of Course Assessment
  • Module 14: Advanced Algebra Assessment
    • Advanced Algebra Assessment
Topics List ( 3 )
Module 2: How to graph functions and linear equations
Topics List ( 2 )
Module 3: How to solve system of linear equations
Topics List ( 2 )
Module 9: Rational expressions
Topics List ( 3 )
Module 10: Exponential and logarithmic functions
Topics List ( 3 )
Module 12: Discrete mathematics and probability
Topics List ( 1 )
Module 14: Advanced Algebra Assessment
Advanced Algebra Assessment
Course Features
  • Duration

    3-4 Hours

  • Publisher

    Math Planet

  • Video

    No

  • Audio

    No

  • Assessment

    Yes

  • Certification

    Yes

  • Price

    Free

  • Reward

    50 Pts

  • Responsive

    No

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