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Syllabus and Course Structure: Calculus for Business and Social Sciences (MATH 1325)

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Introduction to Limits

  • Guided course
    Cases Where Limits Do Not Exist Example 2
    03:33
  • Guided course
    Cases Where Limits Do Not Exist
    03:07
  • Guided course
    Finding Limits Numerically and Graphically
    06:47

Continuity

  • Guided course
    Determine Continuity Algebraically Example 4
    05:33
  • Guided course
    Determine Continuity Algebraically Example 3
    02:10
  • Guided course
    Intro to Continuity Example 2
    00:57

Related Rates

  • Intro To Related Rates
    04:16
  • Changing Geometries
    06:35
  • Real World Application
    06:16

Tangent Lines and Derivatives

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

Basic Rules of Differentiation

  • Guided course
    The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • Guided course
    The Power Rule: Negative & Rational Exponents Example 4
    03:31
  • Guided course
    The Power Rule
    04:02

Product and Quotient Rules

  • Guided course
    The Product Rule Example 1
    04:21
  • Guided course
    The Quotient Rule Example 4
    05:50
  • Guided course
    The Product Rule
    05:18

The Chain Rule

  • Guided course
    Intro to the Chain Rule Example 1
    07:01
  • Guided course
    Intro to the Chain Rule Example 2
    07:39
  • Guided course
    Intro to the Chain Rule
    05:02

Derivatives of Exponential & Logarithmic Functions

  • Guided course
    Derivatives of General Logarithmic Functions Example 4
    05:39
  • Guided course
    Derivative of the Natural Logarithmic Function Example 5
    04:39
  • Guided course
    Derivatives of General Logarithmic Functions
    06:32

Introduction to Functions

  • Relations and Functions
    05:20
  • Relations & Functions Example 1
    1:30
  • Guided course
    Introduction to Business Calculus Channel
    1:37

Higher Order Derivatives

  • Guided course
    Higher Order Derivatives
    02:42
  • Guided course
    Higher Order Derivatives Example 1
    02:02
  • Guided course
    Higher Order Derivatives Example 2
    02:23

Concavity

  • Guided course
    Determining Concavity from the Graph of f' or f''
    03:56
  • Guided course
    Determining Concavity Given A Function Example 2
    06:08
  • Guided course
    Determining Concavity from the Graph of f
    06:38

The Second Derivative Test

  • Guided course
    The Second Derivative Test: Finding Local Extrema Example 1
    05:34
  • Guided course
    The Second Derivative Test: Finding Local Extrema
    06:02

Curve Sketching

  • Guided course
    Summary of Curve Sketching Example 3
    06:22
  • Guided course
    Summary of Curve Sketching Example 1
    13:20
  • Guided course
    Summary of Curve Sketching Example 2
    12:57

Intro to Extrema

  • Guided course
    Finding Extrema Graphically
    05:58
  • Guided course
    Finding Extrema Graphically Example 1
    04:45
  • Guided course
    Finding Extrema Graphically Example 3
    03:22

Finding Global Extrema

  • Guided course
    Finding Global Extrema (Extreme Value Theorem) Example 2
    04:19
  • Guided course
    Finding Global Extrema (Extreme Value Theorem) Example 3
    03:53
  • Guided course
    Finding Global Extrema (Extreme Value Theorem)
    05:12

Applied Optimization

  • Guided course
    Example 1: Minimizing Surface Area
    09:07
  • Guided course
    Intro to Applied Optimization: Maximizing Area
    10:13
  • Guided course
    Example 3: Maximizing Profit
    07:32

Implicit Differentiation

  • Finding The Implicit Derivative Example 1
    09:16
  • Finding The Implicit Derivative
    05:14

Differentials

  • Finding Differentials Example 1
    02:23
  • Determining Error and Relative Error Example 1
    04:46
  • Finding Differentials
    05:53

Antiderivatives

  • Finding a Particular Antiderivative
    05:13
  • Antiderivatives
    05:50

Substitution for Indefinite Integrals

  • Guided course
    Substitution With an Extra Variable
    04:27
  • Guided course
    Indefinite Integrals
    08:38
  • Guided course
    Indefinite Integrals Example 2
    02:37

Introduction to Definite Integrals

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

Fundamental Theorem of Calculus

  • Fundamental Theorem of Calculus Part 2
    05:22
  • Fundamental Theorem of Calculus Part 1
    06:11

Average Value of a Function

  • Average Value of a Function
    06:37

Introduction to Volume & Disk Method

  • Guided course
    Introduction to Cross Sections Example 1
    03:10
  • Guided course
    Finding Volume Using Disks Example 2
    04:53
  • Guided course
    Introduction to Cross Sections
    05:38

Basics of Differential Equations

  • Guided course
    Solutions to Basic Differential Equations
    04:00
  • Guided course
    Verifying Solutions of Differential Equations Example 2
    02:32
  • Guided course
    Verifying Solutions of Differential Equations
    05:09

Separable Differential Equations

  • Guided course
    Separation of Variables
    07:15
  • Guided course
    Solving Separable Differential Equations Example 2
    04:55
  • Guided course
    Exponential Growth & Decay
    09:29