Business Calculus by Kaiju Mathematics: Become a Monster

Name: Business Calculus by Kaiju Mathematics: Become a Monster
Rating: 4.9 (4 reviews)

A guide to learning the key concepts of Limits, Derivatives, Graphing, Exponential and Natural logs, and Integration!

Created byKaiju Mathematics

Last updated 12/2023

English

What you'll learn

Determine Limits of Functions as x approaches a value and infinity.
Perform the Difference Quotient on functions.
Determine the derivative of a function by using the definition of a derivative.
Use the power rule to find the derivative of functions.
Determine the derivative using the Product Rule and Quotient Rule.
Determine the derivative of a function using the Chain Rule.
Use the derivative to answer application questions such as position, velocity, and acceleration
Determine increasing and decreasing intervals.
Determine Relative Extrema
Determine points of inflection.
Determine concavity of a graph.
Determine critical values of a function.
Sketch a graph of a function using first derivative and second derivative.
Find higher order derivatives.
Solve investment questions regarding interest compounded at different increments.
Solve investment questions regarding interest compounded continuously.
Solve exponential and logarithmic equations.
Find the derivative of exponential functions.
Find the derivative of natural log functions.
Integrate using the power rule.
Answer application questions using the power rule.
Integrate using substitution.
Integrate Definite Integrals.
Integrate using substitution with exponential functions.

Course content

6 sections • 102 lectures • 8h 23m total length

Welcome to Becoming a Monster at Business Calculus!1:15
Course Navigation Guidance4:40

Limit Definition and 2 examples. 1 and 315:13
Limit Definition Part 2 4 examples. 5, 7, 9, and 1114:51
Algebraic Limits without factoring 3 examples 1,2, and 39:21
Algebraic Limits with factoring 2 examples 7 and 97:11
Algebraic Limit as x goes towards infinity 1 example 115:15
Continuity Definition and 2 examples 15 and 1713:22
Average Rate of Change Definition4:32
Average Rate of Change Example 14:51
Difference Quotient Definition4:04
Difference Quotient Example 37:38
Difference Quotient Example 45:11
Difference Quotient Example 57:45
Definition of the Derivative5:55
Definition of the Derivative Example 17:03
Definition of the Derivative Example 23:19
Definition of the Derivative Example 33:45
Definition of the Derivative Example 43:17

Power Rule and 3 examples (1,2, and 3)8:33
Power Rule examples 7 and 82:48
Power Rule Examples 9 and 105:24
Derivative of a Constant, Sum and Difference Rules with example. Example 146:17
Sum and Difference example 154:30
Application of the Derivative example 175:18
Product Rule Definition4:46
Product Rule example 13:33
Product Rule Example 34:48
Quotient Rule Definition7:53
Quotient Rule Example 56:22
Quotient Rule Example 72:23
Chain Rule Definition4:41
Chain Rule Example 12:21
Chain Rule Example 33:27
Chain Rule Example 58:20
Chain Rule Example 77:06
Higher Order Derivatives Definition2:05
Higher Order Example 11:59
Higher Order Example 33:05
Higher Order Example 55:36
Position, Velocity, and Acceleration Application of Higher Order Derivatives6:46
Sales Figures, Application of Higher Order Derivatives4:44

Identify Increasing and Decreasing Intervals Overview11:59
Relative Extrema Example 111:28
Relative Extrema Example 37:00
Relative Extrema Example 57:32
Concavity Overview and Points of Inflection4:31
Second Derivative Test for Extrema Example 16:50
Second Derivative Test Concavity Example 32:44
Curve Sketching Example 59:17
Vertical Asymptote Overview4:39
Horizontal Asymptote Overview7:15
Slant Asymptote Overview3:36
x and y Intercepts4:09
Graph Sketching Example 1112:43
Graph Sketching Example 1310:36
Absolute Minimum and Absolute Maximum Overview7:36
Absolute Extrema on a Closed Interval Example 16:58
Absolute Extrema Example 35:44

Exponential Overview4:28
Exponential Example 15:50
Exponential Continuous Compounding Example 33:08
Natural Log Overview and Examples 5, 6, and 75:35
Solving Exponential and Logarithmic Equations Examples 8 and 94:13
Present Value Overview and Example 124:19
Derivative of Exponential Functions Overview1:35
Derivative of Exponential Function Example 10:48
Derivative of Exponential Function Example 21:45
Derivative of Exponential Function Example 32:56
Derivative of Exponential Function using the Chain Rule2:01
Derivative of Exponential Function using the Chain Rule Example 60:48
Derivative of Exponential Function using the Chain Rule Example 71:34
Derivative of Exponential Function using the Chain Rule Example 83:08
Derivative of Natural Logarithmic Functions Overview3:47
Derivative of Natural Log Example 10:38
Derivative of Natural Log Example 23:01
Derivative of Natural Log Example 30:56
Derivative of Natural Log Example 73:04
Derivative of Natural Log Example 83:29
Revenue/ Marginal Revenue and Profit/ Marginal Profit Overview1:59
Profit/ Marginal Profit Example 113:08

Antiderivative/ Integration Overview7:49
Integration Power Rulle Example 1 and 23:12
Integration Power Rule Example 32:25
Integration Power Rule Example 42:53
Integration Example 92:28
Integration Exponential Example 100:33
Integration Exponential Example 112:01
Integration Sum and Difference Example 154:05
Integration Application with Position and Velocity6:33
Definite Integrals Overview4:07
Definite Integral Example 11:24
Definite Integral Example 22:44
Definite Integral Example 35:04
Definite Integral Application Example 73:43
Definite Integral Example 93:19
Definite Integral Example 103:18
Integration Technique Using Substitution Overview2:49
Integration Using Substitution Example 16:32
Integration Using Substitution Example 33:31
Integration Using Substitution Example 54:19
Integration Using Substitution Example 72:32

Requirements

Algebra

Description

Are you about to take Business Calculus? Are you currently enrolled in a Business Calculus class and struggling? Or are you just looking to learn Business Calculus for fun?

This class will help will all of those scenarios! In this class we will look at all of the key concepts from Business Calculus. In this class you will have full lifetime access to about 100 fully worked out examples in video form. There are about 100 practice problems with fully worked out solutions.

Best of all, this class has printable or downloadable note sheets for you take notes while watching the videos just as you would in a classroom setting.

All examples are worked out at a pace for you to be able to take notes and follow along at the same time. There is a practice problem associated with nearly every example that I work out in a video. You can then check your answer with the solutions that are provided. You can choose how you want to do the practice problems, either as you go through the lesson, or at the end and treat it as a homework assignment.

The class is designed for you to learn at your own pace and master the necessary skills to become a monster at Business Calculus!

I hope you enjoy the class! I hope it gives you more confidence in Business Calculus!

Who this course is for:

This course is for students currently enrolled in a Business Calculus class and are looking for supplemental instruction and pracice. ruction
This course is also for somebody looking to learn Calculus but don't want to have to learn Trigonometry. Business Calculus is Calculus without the Trigonometry.
Anybody who wants help with Business Calculus!

Business Calculus by Kaiju Mathematics: Become a Monster

What you'll learn

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Course content

Introduction to the Class2 lectures • 6min

Limits, Continuity, Average Rate of Change, Diff Quotient, Def of Derivative17 lectures • 2hr 3min

Derivatives23 lectures • 1hr 53min

Sketch Graphs Using Calculus17 lectures • 2hr 5min

Exponential and Natural Logarithm22 lectures • 1hr 2min

Integration/Antiderivatives21 lectures • 1hr 15min

Requirements

Description

Who this course is for: