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Comprehensive Study Notes: Functions, Limits, Differentiation, and Integration for College Algebra & Calculus

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Intro to Functions & Their Graphs

  • Guided course
    Finding the Domain of an Equation
    3:43
  • Guided course
    Relations & Functions Example 1
    1:30
  • Guided course
    Relations and Functions
    5:20

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Transformations

  • Guided course
    Stretches & Shrinks of Functions
    6:02
  • Guided course
    Shifts of Functions
    5:34
  • Guided course
    Domain & Range of Transformed Functions
    4:22

Exponents

  • Guided course
    Simplifying Exponential Expressions
    6:39
  • Guided course
    Introduction to Exponent Rules
    7:39
  • Guided course
    Zero and Negative Rules
    6:37

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Introduction to Logarithms

  • Guided course
    Evaluate Logarithms
    5:14
  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51

Graphs and Coordinates

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

Linear Equations

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

The Square Root Property

  • Guided course
    Imaginary Roots with the Square Root Property
    02:20
  • Guided course
    Solving Quadratic Equations by the Square Root Property
    06:12

Intro to Quadratic Equations

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

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Guided course
    Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • Guided course
    The Discriminant
    04:11

Choosing a Method to Solve Quadratics

  • Guided course
    Choosing a Method to Solve Quadratics
    04:03

Quadratic Functions

  • Guided course
    Converting Standard Form to Vertex Form
    04:34
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 2
    7:49

Algebraic Expressions

  • Guided course
    Evaluating Algebraic Expressions
    03:11
  • Guided course
    Introduction to Algebraic Expressions
    05:09
  • Guided course
    Introduction to College Algebra Channel
    1:51

Polynomials Intro

  • Guided course
    Standard Form of Polynomials
    05:16
  • Guided course
    Introduction to Polynomials
    05:13
  • Guided course
    Adding and Subtracting Polynomials
    03:34

Multiplying Polynomials

  • Guided course
    Special Products - Cube Formulas
    03:41
  • Guided course
    Special Products - Square Formulas
    04:14
  • Guided course
    FOIL
    03:07

Factoring Polynomials

  • Guided course
    Factor Using the AC Method When a Is 1
    4:16
  • Guided course
    Factor by Grouping
    04:36
  • Guided course
    Introduction to Factoring Polynomials
    07:30

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Maximum Turning Points of a Polynomial Function
    02:44
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42

Graphing Polynomial Functions

  • Guided course
    Example 1
    09:43
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Graphing Polynomial Functions
    05:25

Zeros of Polynomial Functions

    Linear Inequalities

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

    Two-Variable Equations

    • Guided course
      Graphing Equations of Two Variables by Plotting Points
      04:29
    • Guided course
      Graphing Intercepts
      04:08
    • Guided course
      Equations with Two Variables
      05:28

    Two Variable Systems of Linear Equations

    • Guided course
      Example 1
      3:09
    • Guided course
      Solving Systems of Equations - Elimination
      6:48
    • Guided course
      Example 2
      3:31

    Introduction to Rational Functions

    • Guided course
      Intro to Rational Functions
      6:04

    Asymptotes

    • Guided course
      Introduction to Asymptotes
      6:24
    • Guided course
      Determining Horizontal Asymptotes
      4:48
    • Guided course
      Determining Removable Discontinuities (Holes)
      3:34

    Graphing Rational Functions

    • Guided course
      Graphing Rational Functions Using Transformations
      5:31
    • Guided course
      Example 1
      3:08
    • Guided course
      Example 1
      10:18

    Sequences

    • Guided course
      Example 2
      4:19
    • Guided course
      Example 1
      5:52
    • Guided course
      Introduction to Sequences
      8:22

    Arithmetic Sequences

    • Guided course
      Example 2
      7:00
    • Guided course
      Example 1
      2:35
    • Guided course
      Arithmetic Sequences - Recursive Formula
      6:40

    Geometric Sequences

    • Guided course
      Geometric Sequences - General Formula
      4:45
    • Guided course
      Geometric Sequences - Recursive Formula
      4:18