Pre-Calculus EVERYTHING Explained

Pre-Calculus EVERYTHING Explained, available at $59.99, has an average rating of 4.45, with 172 lectures, based on 30 reviews, and has 208 subscribers.

You will learn about Trigonometry Polynomials Functions Vectors Matrices Conic sections Sequences and series Probability and combinatorics Imaginary and complex numbers This course is ideal for individuals who are Students taking Pre Calculus class It is particularly useful for Students taking Pre Calculus class.

Enroll now: Pre-Calculus EVERYTHING Explained

Summary

Title: Pre-Calculus EVERYTHING Explained

Price: $59.99

Average Rating: 4.45

Number of Lectures: 172

Number of Published Lectures: 172

Number of Curriculum Items: 172

Number of Published Curriculum Objects: 172

Original Price: $59.99

Quality Status: approved

Status: Live

What You Will Learn

Trigonometry
Polynomials
Functions
Vectors
Matrices
Conic sections
Sequences and series
Probability and combinatorics
Imaginary and complex numbers

Who Should Attend

Students taking Pre Calculus class

Target Audiences

Students taking Pre Calculus class

The course of Pre Calculus by learn do explain includes all the topic for the entire class curriculum

We will start with:

Trigonometry, where I introduce the trigonometric ratios, the unit circle, and the inverse trigonometric functions. Additionally, I give you some tips so you don’t memorize any of the values from the unit circle

Then we will move to Polynomials, where I introduce arithmetic operations such as addition, subtraction, multiplication and long division, as well as factorization, binomial expansion, quadratic polynomials, and much more

The next topic would be functions, where we will talk about parent function and their graphs, transformation of functions, we will learn how to graph the rational function and reciprocal function, and then composite functions and inverse functions

The next topic is vectors. We will study the arithmetic operation of vectors, graph a vector, the unit vector, and tons of exercises

With this, we will start with the topic of matrices. We will study the order of a matrix, the arithmetic operations such as addition subtraction and multiplication of matrices, then we will learn the determinant, inverse matrices, solve systems of equations using matrices and transformations using matrices

The next topic would be conic sections, where we will talk about the equation of the circle. The equation, parts and how to graph parabolas, ellipse, and hyperbolas

Then we will move on to sequences and series. We will study arithmetic and geometric sequences as well as arithmetic and geometric series

After this, we will start with probability and combinatorics, where we will study the fundamental of counting principle, the multiplication rule, mutually exclusive events, overlapping events, permutation and combinations, and probability using pascal’s triangle

Finally, we will talk about imaginary and complex numbers, where we will study the conjugates of complex numbers, arithmetic operations, conjugate zero theorem, the complex plane, polar coordinates of complex numbers, Euler’s formula, dividing complex numbers in polar forms, and power of complex numbers in polar forms

Course Curriculum

Chapter 1: Introduction

Lecture 1: Welcome to the Pre Calculus class

Lecture 2: Pre Calculus full content

Lecture 3: Lecture Script

Chapter 2: Trigonometry

Lecture 1: Intro to the six trigonometric ratios

Lecture 2: Into to the unit circle

Lecture 3: Inverse trigonometric functions

Lecture 4: Unit circle exercise

Lecture 5: Inverse trigonometric functions exercises

Lecture 6: Inverse trigonometric function using triangles exercises (page 2)

Lecture 7: Inverse trigonometric function using triangle exercise 3

Chapter 3: Polynomials

Lecture 1: Addition and subtraction of polynomials

Lecture 2: Addition and subtraction of polynomials exercises

Lecture 3: Multiplication and long division of polynomials

Lecture 4: Multiplication and division of polynomials exercises

Lecture 5: Factorization using the great common factor (GCF) method

Lecture 6: Factorization using difference of perfect squares

Lecture 7: Factorization using AC method

Lecture 8: Factorization using substitution

Lecture 9: Square and cube of binomials

Lecture 10: Square of binomial exercises

Lecture 11: Difference of cubes exercises

Lecture 12: Binomial cubes exercises

Lecture 13: Quadratic equation and formula

Lecture 14: Quadratic formula exercises

Lecture 15: Rational root theorem

Lecture 16: Synthetic division

Lecture 17: Rational root theorem using synthetic division exercises

Lecture 18: Synthetic division exercises

Lecture 19: Binomial expansion using Pascal's triangle

Lecture 20: Binomial expansion using binomial theorem

Lecture 21: Binomial expansion using Pascal's triangle exercises

Lecture 22: Binomial expansion using binomial theorem exercises

Chapter 4: Functions

Lecture 1: Introduction to functions

Lecture 2: Domain and range of functions

Lecture 3: Domain and range of functions exercises

Lecture 4: Introduction to parent functions

Lecture 5: Function transformation

Lecture 6: Function transformation exercise 1

Lecture 7: Function transformation exercise 2

Lecture 8: Function transformation exercise 3

Lecture 9: Rational function

Lecture 10: Rational function exercise 1

Lecture 11: Rational function exercise 2

Lecture 12: Reciprocal tansformation

Lecture 13: Reciprocal transformation exercise

Lecture 14: Intro to composite functions

Lecture 15: Composite functions exercises

Lecture 16: Composite functions in real life

Lecture 17: Composite functions exercise 1

Lecture 18: Composite functions exercises 2

Lecture 19: Inverse functions

Lecture 20: Inverse functions exercise

Lecture 21: Inverse function proof using composite function

Lecture 22: Inverse function proof using composite function exercise

Chapter 5: Vector

Lecture 1: Intro to vector

Lecture 2: Vector magnitude and direction

Lecture 3: Vector multiplication with a scalar and vector graph

Lecture 4: Vector magnitude and direction

Lecture 5: Vector multiplication with scalar and graph solution

Lecture 6: Sum of vectors

Lecture 7: Sum of vectors using graphs

Lecture 8: Subtraction of vectors

Lecture 9: Subtraction of vectors using graphs

Lecture 10: Arithmetic operation with vectors exercises

Lecture 11: Arithmetic operations with vectors using graphs exercise 1

Lecture 12: Arithmetic operation with vectors using graphs exercise 2

Lecture 13: Intro to the unit vector

Lecture 14: Calculation of the unit vector

Lecture 15: Unite vector exercises

Chapter 6: Matrices

Lecture 1: Intro to matrices- Order and element of matrices

Lecture 2: Order and elements of matrices exercises

Lecture 3: Addition of matrices exercise

Lecture 4: Subtraction of matrices exercise

Lecture 5: Multiplication of a scalar and a matrix

Lecture 6: Multiplication of matrices

Lecture 7: Multiplication of matrices exercises 1-2

Lecture 8: Multiplication of matrices exercises 3-4

Lecture 9: Identity matrix

Lecture 10: Transpose matrix

Lecture 11: Transpose matrix exercise

Lecture 12: Arithmetic properties of matrices

Lecture 13: Determinant

Lecture 14: Determinant exercises

Lecture 15: Inverse of a matrix

Lecture 16: Inverse of a matrix using cofactor matrix

Lecture 17: Inverse of a matrix using Gauss-Jordan method

Lecture 18: Inverse of a matrix 2×2

Lecture 19: Inverse of a matrix using cofactor matrix exercise

Lecture 20: Inverse of a matrix using Gauss-Jordan method exercise

Lecture 21: System of equation using matrices

Lecture 22: System of equation using matrices 2×2 exercise1

Lecture 23: System of equation using matrices 2×2 exercise2

Lecture 24: System of equation using matrices 3×3 exercise3

Lecture 25: Unit vector and rotation using matrices

Instructors

Ariana Morales
Civil Engineer

Rating Distribution

1 stars: 0 votes
2 stars: 1 votes
3 stars: 1 votes
4 stars: 9 votes
5 stars: 19 votes

Frequently Asked Questions

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