Advanced Algebraic Concepts and Applications in Mathematics
Gain a clear understanding of key concepts, techniques, and theorems through this advanced algebra course.
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This course is divided into 13 modules, and each module is divided into lessons with theories, examples, and video presentations for a clear study experience. Upon completion of this advanced linear algebra course, you will be able to simplify expressions and inequalities, and represent functions and linear equations on a graph. You will also be able to calculate equations with two or three variables, and will know how to operate with matrices and simplify polynomials and radical expressions.
In this course, you will also learn how to plot a quadratic function on a graph, solve conic sections, polynomial functions, rational expressions, and exponential and logarithmic functions. Solving geometric sequences and series, as well as the use of Binomial Theorem, are also part of the course outline. You will fully grasp the concepts of permutations, combinations, probabilities, and the trigonometric functions of angles, sines, cosines, and circular and inverse functions.
Learning algebra develops critical thinking skills, logic, patterns, and deductive and inductive reasoning. These are great skills not only for science and math but also for our daily activities. This advanced algebra course makes learning these topics simple and includes video explanations for effective and easy to follow learning. So, check out the course now, and gain a clearer understanding of algebra in no time at all, for free.
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Module 1: Equations and inequalities
Solve equations and simplify expressions
Line plots and stem-and-leaf plots
Module 2: How to graph functions and linear equations
Module 3: How to solve system of linear equations
Module 4: Matrices
Basic information about matrices
How to operate with matrices
Using matrices when solving system of equations
Module 5: Polynomials and radical expressions
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
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
Module 10: Exponential and logarithmic functions
Module 11: Sequences and series
Module 12: Discrete mathematics and probability
Module 13: Trigonometry
Module 14: Advanced Algebra Assessment
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 enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:
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Free, Online Advanced Algebraic Concepts and Applications in Mathematics Course
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