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Precalculus Mathematics I (MATH 134B/SMAT 121B) – Syllabus and Core Concepts Overview

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Linear Equations

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

Rational Equations

  • Guided course
    Restrictions on Rational Equations
    05:21
  • Guided course
    Introduction to Rational Equations
    05:56

Complex Numbers

  • Guided course
    Complex Conjugates
    05:33
  • Guided course
    Introduction to Complex Numbers
    03:31
  • Guided course
    Multiplying Complex Numbers
    05:02

Intro to Quadratic Equations

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

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

Completing the Square

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

The Quadratic Formula

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

Choosing a Method to Solve Quadratics

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

Linear Inequalities

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

Intro To Functions And Graphs

  • Guided course
    Finding the Domain and Range of a Graph
    5:10
  • Guided course
    Finding the Domain of an Equation
    3:43
  • Guided course
    Relations and Functions
    5:20

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Lines

  • Guided course
    Graphing Lines in Slope-Intercept Form
    02:35
  • Guided course
    Point-Slope Form
    05:46
  • Guided course
    Parallel & Perpendicular Lines
    07:52

Transformations

  • Guided course
    Reflections of Functions
    5:00
  • Guided course
    Intro to Transformations
    5:25
  • Guided course
    Stretches & Shrinks of Functions Example 3
    4:20

Function Operations

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

Function Composition

  • Guided course
    Function Composition
    4:56
  • Guided course
    Evaluating Composed Functions
    4:26
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Guided course
    Converting Standard Form to Vertex Form
    04:34
  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form Example 1
    07:11

Understanding Polynomial Functions

  • Guided course
    Maximum Turning Points of a Polynomial Function
    02:44
  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Graphing Polynomial Functions

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

Intro to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Graphing Rational Functions

  • Guided course
    How to Graph Rational Functions Example 1
    10:18
  • Guided course
    Graphing Rational Functions Using Transformations Example 1
    3:08
  • Guided course
    How to Graph Rational Functions
    8:19

Intro to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Graphing Exponential Functions

  • Guided course
    Transformations of Exponential Graphs
    6:16
  • Guided course
    Graphs of Exponential Functions
    5:46
  • Guided course
    Graphing Exponential Functions Example 1
    3:58

Intro to Logarithms

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

Properties of Logarithms

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

Solving Exponential & Logarithmic Equations

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

Two Variable Systems of Linear Equations

  • Guided course
    Introduction to Systems of Linear Equations Example 2
    3:31
  • Guided course
    Introduction to Systems of Linear Equations Example 1
    3:09
  • Guided course
    How to Multiply Equations in Elimination Method
    6:04

Circles

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