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    Precalculus & Trigonometry Explained

    BY
    Udemy

    Gain a thorough understanding of the fundamentals to master trigonometry and precalculus.

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    Mode

    Online

    Fees

    ₹ 455 3199

    Quick Facts

    particular details
    Medium of instructions English
    Mode of learning Self study
    Mode of Delivery Video and Text Based

    Course overview

    John Greene - Programming & Mathematics Instructor created the Precalculus & Trigonometry Explained online certification, which is presented by Udemy and is meant for participants who wish to master the basic as well as sophisticated principles of calculus and trigonometry. Precalculus & Trigonometry Explained online training by Udemy focuses on helping students comprehend the fundamentals of precalculus, from basic to advanced levels.

    Precalculus & Trigonometry Explained online contains 48 hours of pre-recorded lectures, 137 articles, and 143 digital resources designed to help students understand the fundamentals of advanced mathematical concepts including linear algebra and calculus. With this training program, participants will also learn about topics like an exponential equation, linear function, rational function, polynomials, functions, graphing, conic section, ellipse, hyperbola, summation notation, analytic geometry, sequence, series, compound interest, and partial fraction decomposition.

    The highlights

    • Certificate of completion
    • Self-paced course
    • 48 hours of pre-recorded video content
    • 137 articles
    • 143 downloadable resources

    Program offerings

    • Online course
    • Learning resources. 30-day money-back guarantee
    • Unlimited access
    • Accessible on mobile devices and tv

    Course and certificate fees

    Fees information
    ₹ 455  ₹3,199
    certificate availability

    Yes

    certificate providing authority

    Udemy

    Who it is for

    Teacher Scientist

    What you will learn

    Mathematical skill

    After completing the Precalculus & Trigonometry Explained certification course, participants will gain a thorough understanding of precalculus and trigonometry principles and advanced concepts. Participants will learn about linear functions, function composition, trigonometric functions, polynomial functions, logarithm functions, rational functions, exponential equations, linear systems, nonlinear systems, graphing, transformations, and graphing parabolas, among other things. Participants will learn about the remainder theorem, factor theorem, conjugate zeros theorem, rational zeros theorem, fundamental theorem of algebra, Descartes' rule of signs, counting theory, boundedness theorem, Cramer's rule, and Gauss-Jordan Elimination, among other theories related to precalculus and trigonometry. 

    The syllabus

    Functions and Their Graphs

    • Welcome to the Course :)
    • Rectangular Coordinate Plane
    • Rectangular Coordinate Plane Practice Test
    • The Complex Plane and Plotting Complex Numbers
    • The Complex Plane and Plotting Complex Numbers Practice Test
    • Midpoint of a Line Segment
    • Midpoint of a Line Segment Practice Test
    • The Pythagorean Formula and the Distance Between Two Points
    • The Pythagorean Formula and The Distance Between Two Points Practice Test
    • Complex Plane - Distance and Midpoint Formulas
    • Complex Plane - Distance and Midpoint Formulas Practice Test
    • Absolute Value of a Complex Number
    • Absolute Value of a Complex Number Practice Test
    • Applications of The Distance Formula (Vertices of a Right Triangle)
    • Applications of The Distance Formula (Vertices of a Right Triangle)Practice Test
    • Applications of The Distance Formula (Collinear Points)
    • Applications of The Distance Formula (Collinear Points) Practice Test
    • Equations of Circles
    • Equations of Circles Practice Test
    • Function Definition
    • Function Definition Practice Test
    • Domain and Range
    • Domain and Range Practice Test
    • Vertical Line Test
    • Vertical Line Test Practice Test
    • Function Notation
    • Function Notation Practice Test
    • Graphing Linear Functions
    • Graphing Linear Functions Practice Test
    • Finding the Slope of a Line
    • Finding the Slope of a Line Practice Test
    • Finding the Equation of a Line
    • Finding the Equation of a Line Practice Test
    • Parallel and Perpendicular Lines
    • Parallel and Perpendicular Lines Practice Test
    • Graphs of Basic Functions
    • Graphs of Basic Functions Practice Test
    • PIecewise-Defined Functions
    • Piecewise-Defined Functions Practice Test
    • Increasing, Decreasing, & Constant Intervals
    • Increasing, Decreasing, & Constant Intervals Practice Test
    • Graphing Transformations: Stretching/Shrinking a Graph
    • Graphing Transformations: Stretching/Shrinking a Graph Practice Test
    • Graphing Transformations: Reflecting a Graph Across and Axis
    • Graphing Transformations: Reflecting a Graph Across and Axis Practice Test
    • Graphing Transformations: Horizontal and Vertical Shifts
    • Graphing Transformations: Horizontal and Vertical Shifts Practice Test
    • Even and Odd Functions
    • Even and Odd Functions Practice Test
    • Operations with Functions
    • Operations with Functions Practice Test
    • Finding the Difference Quotient
    • Finding the Difference Quotient Practice Test
    • Function Composition
    • Function Composition Practice Test

    Polynomial Functions

    • Finding the Vertex Form of a Parabola
    • Finding the Vertex Form of a Parabola Practice Test
    • Graphing Parabolas
    • Graphing Parabolas Practice Test
    • The Remainder Theorem
    • The Remainder Theorem Practice Test
    • The Factor Theorem
    • The Factor Theorem Practice Test
    • The Rational Zeros Theorem
    • The Rational Zeros Theorem Practice Test
    • The Fundamental Theorem of Algebra
    • The Fundamental Theorem of Algebra Practice Test
    • Conjugate Zeros Theorem
    • Conjugate Zeros Theorem Practice Test
    • Descartes' Rule of Signs
    • Descartes' Rule of Signs Practice Test
    • Intermediate Value and Boundedness Theorems
    • Intermediate Value and Boundedness Theorems Practice Test
    • Zeros of Polynomial Functions
    • Zeros of Polynomial Functions Practice Test

    Exponential / Logarithmic Functions and Their Graphs

    • The Horizontal Line Test
    • The Horizontal Line Test Practice Test
    • Finding One-to-One Functions Algebraically
    • Finding One-to-One Functions Algebraically Practice Test
    • Finding the Inverse of a Function
    • Finding the Inverse of a Function Practice Test
    • Prove that Two Functions are Inverses
    • Prove that Two Functions are Inverses Practice Test
    • Domain Restrictions, Finding the Inverse
    • Domain Restrictions, Finding the Inverse Practice Test
    • Exponential Functions and Their Graphs
    • Exponential Functions and Their Graphs Practice Test
    • Solving Exponential Equations without Logs
    • Solving Exponential Equations without Logs Practice Test
    • Solving Compound Interest Formula Word Problems
    • Solving Compound Interest Formula Word Problems Practice Test
    • Solving Continuous Compound Interest Formula Word Problems
    • Solving Continuous Compound Interest Formula Word Problems Practice Test
    • Logarithmic Functions
    • Logarithmic Functions Practice Test
    • Properties of Logarithms
    • Properties of Logarithms Practice Test
    • Inverse of an Exponential / Logarithmic Function
    • Inverse of an Exponential / Logarithmic Function Practice Test
    • Evaluating Logarithms Using the Change of Base Formula
    • Evaluating Logarithms Using the Change of Base Formula Practice Test
    • Solving Exponential Equations with Logs
    • Solving Exponential Equations with Logs Practice Test
    • Solving Logarithmic Equations
    • Solving Logarithmic Equations Practice Test

    Systems of Equations

    • Solving Linear Systems in Two Variables
    • Solving Linear Systems in Two Variables Practice Test
    • Solving Linear Systems in Three Variables
    • Solving Linear Systems in Three Variables Practice Test
    • Finding the Equation of a Parabola Given Three Points
    • Finding the Equation of a Parabola Given Three Points Practice Test
    • Linear Systems Word Problems
    • Linear Systems Word Problems Practice Test
    • Partial Fraction Decomposition with Linear Factors
    • Partial Fraction Decomposition with Linear Factors Practice Test
    • Partial Fraction Decomposition with Quadratic Factors
    • Partial Fraction Decomposition with Quadratic Factors Practice Test

    Matrices and Determinants

    • Gauss-Jordan Part 1
    • Gauss-Jordan Part 1 Practice Test
    • Gauss-Jordan Part 2
    • Gauss-Jordan Part 2 Practice Test
    • Gauss-Jordan Part 3
    • Gauss-Jordan Part 3 Practice Test
    • Introduction to Matrices
    • Introduction to Matrices Practice Test
    • Matrix Addition and Subtraction
    • Matrix Addition and Subtraction Practice Test
    • Scalar Multiplication
    • Scalar Multiplication Practice Test
    • Matrix Multiplication
    • Matrix Multiplication Practice Test
    • Inverse of a Matrix
    • Inverse of a Matrix Practice Test
    • Matrix Equations
    • Matrix Equations Practice Test
    • Determinants Using Laplace Expansion
    • Determinants Using Laplace Expansion Practice Test
    • Determinants Using Triangular Form
    • Determinants Using Triangular Form Practice Test
    • Transpose of a Matrix
    • Transpose of a Matrix Practice Test
    • Adjugate of a Matrix
    • Adjugate of a Matrix Practice Test
    • Inverse Using the Adjugate and Determinant
    • Inverse Using the Adjugate and Determinant Practice Test
    • Cramer's Rule Part 1
    • Cramer's Rule Part 1 Practice Test
    • Cramer's Rule Part 2
    • Cramer's Rule Part 2 Practice Test
    • Applications of Determinants - Area of a Triangle
    • Applications of Determinants - Area of a Triangle Practice Test
    • Applications of Determinants - Testing for Collinear Points
    • Applications of Determinants - Testing for Collinear Points Practice Test
    • Applications of Determinants - Finding the Equation of a Line
    • Applications of Determinants - Finding the Equation of a Line Practice Test

    Analytic Geometry & Nonlinear Systems

    • Horizontal Parabolas
    • Horizontal Parabolas Practice Test
    • Conic Sections: The Parabola
    • Conic Sections: The Parabola Practice Test
    • Conic Sections: The Ellipse
    • Conic Sections: The Ellipse Practice Test
    • Conic Sections: The Hyperbola
    • Conic Sections: The Hyperbola Practice Test
    • Solving Nonlinear Systems of Equations
    • Solving Nonlinear Systems of Equations Practice Test
    • Solving Nonlinear Systems of Inequalities
    • Solving Nonlinear Systems of Inequalities Practice Test

    Sequences and Series

    • Introduction to Sequences
    • Introduction to Sequences Practice Test
    • Introduction to Series and Summation Notation
    • Introduction to Series and Summation Notation Practice Test
    • Arithmetic Sequences and Series
    • Arithmetic Sequences and Series Practice Test
    • Geometric Sequences and Series
    • Geometric Sequences and Series Practice Test

    Further Topics in Algebra (Binomial Theorem, Counting Theory, Probability)

    • The Binomial Theorem
    • The Binomial Theorem Practice Test
    • Counting Theory
    • Counting Theory Practice Test
    • The Basics of Probability
    • The Basics of Probability Practice Test

    Trigonometry Part 1: Trigonometric Functions

    • Angles in Trigonometry
    • Angles in Trigonometry Practice Test
    • Degrees, Minutes, and Seconds
    • Degrees, Minutes, and Seconds Practice Test
    • Coterminal Angles
    • Coterminal Angles Practice Test
    • Angle Relationships and Similar Triangles
    • Angle Relationships and Similar Triangles Practice Test
    • Finding Trigonometric Function Values of an Angle
    • Finding Trigonometric Function Values of an Angle Practice Test
    • Reciprocal Identities and Finding Missing Trig Function Values
    • Reciprocal Identities and Finding Missing Trig Function Values Practice Test
    • Pythagorean and Quotient Identities
    • Pythagorean and Quotient Identities Practice Test

    Trigonometry Part 2: Acute Angles and Right Triangles

    • Trigonometric Functions of Acute Angles
    • Trigonometric Functions of Acute Angles Practice Test
    • Trigonometric Functions of Non-Acute Angles
    • Trigonometric Functions of Non-Acute Angles Practice Test
    • Finding Trigonometric Function Values Using a Calculator
    • Finding Trigonometric Function Values Using a Calculator Practice Test
    • Solving Right Triangles
    • Solving Right Triangles Practice Test

    Trigonometry Part 3: Radian Measure & The Unit Circle

    • Radian Measure
    • Radian Measure Practice Test
    • Arc Length on a Circle
    • Arc Length on a Circle Practice Test
    • Unit Circle and Circular Functions
    • Unit Circle and Circular Functions Practice Test
    • Linear & Angular Speed
    • Linear & Angular Speed Practice Test

    Trigonometry Part 4: Graphing Trigonometric Functions

    • Graphing Sine & Cosine
    • Graphing Sine & Cosine Practice Test

    Trigonometry Part 5: Trigonometric Identities

    • Fundamental Identities Handout
    • Fundamental Identities
    • Fundamental Identities Practice Test
    • Verifying Trigonometric Identities
    • Verifying Trigonometric Identities Practice Test
    • Sum & Difference Identities for Cosine
    • Sum & Difference Identities for Cosine Practice Test
    • Sum & Difference Identities for Sine and Tangent
    • Sum & Difference Identities for Sine and Tangent Practice Test
    • Double-Angle, Product-to-Sum, & Sum-to-Product Identities
    • Double-Angle, Product-to-Sum, & Sum-to-Product Identities Practice Test
    • Half-Angle Identities
    • Half-Angle Identities Practice Test

    Trigonometry Part 6: Trigonometric Equations and Inverse Trigonometric Functions

    • Inverse Trigonometric Functions Practice Test
    • Inverse Trigonometric Functions
    • Solving Trigonometric Equations Using Linear Methods
    • Solving Trigonometric Equations Using Linear Methods Practice Test
    • Solving Trigonometric Equations Using Factoring
    • Solving Trigonometric Equations Using Factoring Practice Test
    • Solving Trigonometric Equations: Square Roots, Squaring, & Identities
    • Solving Trigonometric Equations: Square Roots, Squaring, & Identities Practice
    • Solving Trigonometric Equations: Half-Angles
    • Solving Trigonometric Equations: Half-Angles Practice Test
    • Solving Trigonometric Equations with Multiple Angles
    • Solving Trigonometric Equations with Multiple Angles Practice Test
    • Solving Trigonometric Equations Using Inverse Trigonometric Functions
    • Solving Trigonometric Equations Using Inverse Trigonometric Functions Practice

    Trigonometry Part 7: Law of Sines and Cosines

    • Law of Sines (ASA) and (SAA)
    • Law of Sines (ASA) and (SAA) Practice Test
    • Law of Sines (SSA) Ambiguous Case
    • Law of Sines (SSA) Ambiguous Case Practice Test
    • Law of Cosines (SSS) and (SAS), Heron's Formula
    • Law of Cosines (SSS) and (SAS), Heron's Formula Practice Test

    Trigonometry Part 8: Vectors

    • Vectors Part 1: Finding the Magnitude & Direction Angle
    • Vectors Part 1: Finding the Magnitude & Direction Angle Practice Test
    • Vectors Part 2: Adding Vectors & Multiplying by a Scalar
    • Vectors Part 2: Adding Vectors & Multiplying by a Scalar Practice Test
    • Vectors Part 3: Dot Product & Angle Between Two Vectors
    • Vectors Part 3: Dot Product & Angle Between Two Vectors Practice Test

    Trigonometry Part 9: Complex Numbers

    • Review of Complex Numbers (Optional)
    • Review of Complex Numbers (Optional) Practice Test
    • Trigonometric (Polar) Form of Complex Numbers
    • Trigonometric (Polar) Form of Complex Numbers Practice Test
    • Product and Quotient Theorem
    • Product and Quotient Theorem Practice Test
    • De Moivre's Theorem | Powers and Roots of Complex Numbers
    • De Moivre's Theorem | Powers and Roots of Complex Numbers Practice Test

    Trigonometry Part 10: Polar/Parametric Equations and Graphs

    • Polar Coordinate Grid
    • Polar Coordinates
    • Polar Coordinates Practice Test
    • Distance Between Polar Points
    • Distance Between Polar Points Practice Test
    • Polar Form of a Line
    • Polar Form of a Line Practice Test
    • Lines In Trigonometry
    • Lines in Trigonometry Practice Test
    • Circles in Polar Form
    • Circles in Polar Form Practice Test

    Instructors

    Mr John Greene

    Mr John Greene
    Mathematics & Programming Instructor
    Freelancer

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