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Precalculus Comprehensive Study Notes: Algebra, Functions, Trigonometry, Sequences, Geometry, and Calculus

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Exponents

  • Guided course
    Zero and Negative Rules
    6:37
  • Guided course
    Power Rules
    5:50
  • Guided course
    Simplifying Exponential Expressions
    6:39

Algebraic Expressions

  • Guided course
    Introduction to Algebraic Expressions
    05:09
  • Guided course
    Evaluating Algebraic Expressions
    03:11
  • Guided course
    Introduction to Exponents
    07:07

Linear Inequalities

  • Guided course
    Interval Notation
    05:18
  • Guided course
    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Linear Inequalities
    06:07

Sequences

  • Guided course
    Example 1
    05:52
  • Guided course
    Example 2
    04:19
  • Guided course
    Introduction to Sequences

Arithmetic Sequences

  • Guided course
    Example 1
    02:35
  • Guided course
    Arithmetic Sequences - General Formula
    05:17
  • Guided course
    Example 2
    07:00

Geometric Sequences

  • Guided course
    Geometric Sequences - General Formula
    04:45
  • Guided course
    Geometric Sequences - Recursive Formula
    04:18

Introduction to Logarithms

  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51
  • Guided course
    Evaluate Logarithms
    05:15

Properties of Logarithms

  • Guided course
    Product, Quotient, and Power Rules of Logs
    3:49
  • Guided course
    Expand & Condense Log Expressions
    4:22
  • Guided course
    Change of Base Property
    5:36

Solving Exponential and Logarithmic Equations

  • Guided course
    Solving Exponential Equations Using Logs
    5:47
  • Guided course
    Solving Exponential Equations Using Like Bases
    4:46
  • Guided course
    Solving Logarithmic Equations
    5:02

Pythagorean Theorem & Basics of Triangles

  • Guided course
    Solving Right Triangles with the Pythagorean Theorem
    5:19
  • Guided course
    Review of Triangles
    4:42

Special Right Triangles

  • Guided course
    45-45-90 Triangles
    04:39
  • Guided course
    Common Trig Functions For 30-60-90 Triangles
    6:24
  • Guided course
    30-60-90 Triangles
    5:35

Law of Cosines

  • Guided course
    Solving SAS & SSS Triangles
    7:50
  • Guided course
    Intro to Law of Cosines
    4:35

Law of Sines

  • Guided course
    Solving SSA Triangles ("Ambiguous" Case) Example 1
    4:02
  • Guided course
    Solving SSA Triangles ("Ambiguous" Case)
    9:50
  • Guided course
    Solving SAA & ASA Triangles
    7:23

Geometric Vectors

  • Guided course
    Multiplying Vectors By Scalars
    05:05
  • Guided course
    Multiplying Vectors By Scalars Example 1
    03:12
  • Guided course
    Adding Vectors Geometrically
    05:29

Unit Vectors and i & j Notation

  • Guided course
    Unit Vector in the Direction of a Given Vector Example 1
    02:17
  • Guided course
    i & j Notation
    06:01
  • Guided course
    Unit Vector in the Direction of a Given Vector Example 2
    05:21

Dot Product

  • Guided course
    Introduction to Dot Product
    5:40
  • Guided course
    Find the Angle Between Vectors
    04:33

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

Circles

  • Guided course
    Circles in Standard Form
    5:18
  • Guided course
    Circles in General Form
    06:20
  • Guided course
    Circles in Standard Form Example 1
    03:40

Ellipses: Standard Form

  • Guided course
    Graph Ellipses at Origin
    05:12
  • Guided course
    Graph Ellipses NOT at Origin
    04:50
  • Guided course
    Foci and Vertices of an Ellipse
    05:30

Factoring Polynomials

  • Guided course
    Factor by Grouping
    04:36
  • Guided course
    Introduction to Factoring Polynomials
    07:30
  • Guided course
    Factor Using Special Product Formulas
    6:29

Multiplying Polynomials

  • Guided course
    Multiply Polynomials Using the Distributive Property
    04:15
  • Guided course
    Special Products - Square Formulas
    04:14
  • Guided course
    Special Products - Cube Formulas
    03:41

Graphs and Coordinates

  • Guided course
    Graphs and Coordinates - Example
    02:16
  • Guided course
    Graphs & the Rectangular Coordinate System
    05:10

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Intro to Quadratic Equations

  • Guided course
    Introduction to Quadratic Equations
    05:35
  • Guided course
    Solving Quadratic Equations by Factoring
    06:08

Linear Equations

  • Guided course
    Solving Linear Equations with Fractions
    04:02
  • Guided course
    Introduction to Solving Linear Equations
    07:48
  • Guided course
    Categorizing Linear Equations
    06:00

Function Operations

  • Guided course
    Multiplying & Dividing Functions
    7:24
  • Guided course
    Adding & Subtracting Functions Example 1
    4:46
  • Guided course
    Adding & Subtracting Functions
    5:56

Function Composition

  • Guided course
    Decomposition of Functions
    4:07
  • Guided course
    Function Composition
    4:56
  • Guided course
    Domain Restrictions of Composed Functions
    3:51