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MAT 143 Brief Calculus: Syllabus and Course Structure Study Guide

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Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

Continuity

  • Intro to Continuity
    05:34
  • Intro to Continuity Example 2
    00:57
  • Determine Continuity Algebraically
    05:25

Tangent Lines and Derivatives

  • Percorso guidato
    Slopes of Tangent Lines
    05:13
  • Percorso guidato
    Determine Continuity Algebraically Example 1
    05:10
  • Percorso guidato
    Equations of Tangent Lines
    05:14

Derivatives as Functions

  • Percorso guidato
    Derivatives
    05:44

Basic Graphing of the Derivative

  • Percorso guidato
    Graphing The Derivative - Special Cases
    04:24
  • Percorso guidato
    Graphing The Derivative
    06:15
  • Percorso guidato
    Graphing The Derivative Example 1
    03:29

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49

Exponential Functions

  • Exponential Functions
    6:13
  • The Number e
    4:47
  • Graphs of Exponential Functions
    5:46

Logarithmic Functions

  • Logarithms Introduction
    7:30
  • The Natural Log
    2:51
  • Graphs of Logarithmic Functions
    5:26

Derivatives of Exponential & Logarithmic Functions

  • Derivatives of General Logarithmic Functions
    06:32
  • Derivative of the Natural Logarithmic Function
    05:18
  • Derivative of the Natural Exponential Function (e^x) Example 3
    02:38

Indefinite Integrals

  • Percorso guidato
    Additional Rules for Indefinite Integrals
    05:56
  • Percorso guidato
    Power Rule for Indefinite Integrals
    04:04
  • Percorso guidato
    Introduction to Indefinite Integrals
    05:04

Indefinite Integrals

  • Percorso guidato
    Additional Rules for Indefinite Integrals
    05:56
  • Percorso guidato
    Power Rule for Indefinite Integrals
    04:04
  • Percorso guidato
    Introduction to Indefinite Integrals
    05:04

Introduction to Definite Integrals

  • Percorso guidato
    Basic Rules for Definite Integrals
    06:07
  • Percorso guidato
    Definition of the Definite Integral
    05:43

Fundamental Theorem of Calculus

  • Percorso guidato
    Fundamental Theorem of Calculus Part 2
    05:22
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1
    06:11
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1 Example1
    03:25

Substitution

  • Indefinite Integrals Example 1
    04:40
  • Substitution With an Extra Variable
    04:27
  • Definite Integrals
    06:36

Basics of Differential Equations

  • Verifying Solutions of Differential Equations Example 1
    03:17
  • Solutions to Basic Differential Equations Example 7
    02:50
  • Verifying Solutions of Differential Equations
    05:09