ABCs of Calculus

Name: ABCs of Calculus
Rating: 4.6 (16 reviews)

Become a Calculus Master!

Created byAllen Parr

Last updated 2/2017

English

What you'll learn

At the end of my course, students will know strategies for computing limits, how to compute a derivative using the standard definition of a derivative, and the differentiation rules (product, quotient, power, chain). This course will also go in depth on applications of derivatives such as particle motion and optimization. The second half of the course will cover integration with a focus on u-substitution. We will end with a detailed explanation of how to use integration to compute area and volumes by cross-sections and rotation.

Course content

16 sections • 80 lectures • 12h 41m total length

Introduction Video1:53

Instructions for ABCs of Calculus0:12
In this lecture I encourage you to download your 80-page workbook, print it out and work from it throughout the remainder of this course. Enjoy the course!
Evaluating Limits Graphically8:04
After this video you will be able to evaluate limits from the right and left and from both sides from a graph.
Determining Whether a Limit Exists8:37
In this lecture you will learn how to determine whether a limit exists or not.
Evaluating Limits Algebraically6:39
In this lecture you will learn the 3 most common techniques for evaluating limits algebraically.
Take the LIMITS QUIZ0:08
Test your knowledge of limits by taking this quiz! Then watch the video to check your work.
LIMITS QUIZ Solutions12:32
Check your work against mine to assess your knowledge of limits.

Standard Definition of a Derivative - Part I10:50
In this lecture you will learn how to use the standard definition of a derivative to calculate the slope of a curve at a specific point.
Standard Definition of a Derivative - Part II11:36
In this lecture you will learn how to use the standard definition of a derivative to calculate the slope of a curve at a specific point.
Take the Standard Definition of a Derivative QUIZ0:10
Assess your knowledge by taking this short quiz on how to find the derivative using the standard definition of a derivative.
Standard Definition of a Derivative QUIZ SOLUTIONS10:15
Check your work against mine after you've completed the quiz.

Using the Power Rule6:15
In this lecture you will learn the power rule of differentiation.
Writing Tangent and Normal Lines Using the Power Rule11:59
In this lecture you will use the power rule to write tangent and normal lines to a curve at a specific point.
Product and Quotient Rules of Differentiation7:31
In this video you will learn the product and quotient rules for differentiation.
Writing Tangent Lines Using Product/Quotient Rules7:00
In this lecture you will learn how to use the product/quotient rules to take derivatives and write tangent and normal lines to a curve.
The Chain Rule13:07
Take the DIFFERENTIATION RULES QUIZ0:09
Test your knowledge by taking this quiz on the chain rule.
DIFFERENTIATION RULES QUIZ Solutions9:16
Check your work against mine after you've completed the quiz.

First & Second Derivative Tests - Part I12:33
In this lecture you will learn how to use the First & Second derivative tests to determine maximums/minimums, increasing/decreasing intervals, critical points, inflection points and concavity.
First & Second Derivative Tests - Part II11:58
In this lecture you will learn how to use the First & Second derivative tests to determine maximums/minimums, increasing/decreasing intervals, critical points, inflection points and concavity.
First & Second Derivative Tests - Part III9:37
In this lecture you will learn how to use the First & Second derivative tests to determine maximums/minimums, increasing/decreasing intervals, critical points, inflection points and concavity.
First & Second Derivative Tests - Part IV12:01
In this lecture you will learn how to use the First & Second derivative tests to determine maximums/minimums, increasing/decreasing intervals, critical points, inflection points and concavity.
First & Second Derivative Tests - Part V5:21
In this lecture you will learn how to use the First & Second derivative tests to determine maximums/minimums, increasing/decreasing intervals, critical points, inflection points and concavity.
First & Second Derivative Tests PRACTICE - Part I12:22
Check your understanding by practicing the problems in your work book.
First & Second Derivative Tests PRACTICE - Part II16:00
Check your understanding by practicing the problems in your work book.

Particle Motion - Part I11:07
In this lecture you will learn how to apply derivatives with problems involving position, velocity and acceleration.
Particle Motion - Part II13:36
In this lecture you will learn how to apply derivatives with problems involving position, velocity and acceleration.
Particle Motion - Part III4:58
In this lecture you will learn how to apply derivatives with problems involving position, velocity and acceleration.
Particle Motion QUIZ0:09
Test your knowledge of particle motion by taking this quiz.
Particle Motion QUIZ SOLUTIONS10:32
Check your work against mine after you've completed the quiz.

Optimization - Part I10:04
In this lecture you will learn how to apply derivatives with problems involving optimization. This refers to finding things such as the maximum volume, shortest route, least amount of surface area, etc.
Optimization - Part II9:01
In this lecture you will learn how to apply derivatives with problems involving optimization. This refers to finding things such as the maximum volume, shortest route, least amount of surface area, etc.
Optimization QUIZ0:08
Test your knowledge of optimization by completing this quiz.
Optimization QUIZ SOLUTIONS16:44
Check your work against mine after you've completed the quiz.

Applications of Derivatives Homework - Part I12:34
Now it's time to practice your understanding of the First & Second Derivative tests, particle motion and optimization by completing the homework in your book.
Applications of Derivatives Homework - Part II7:56
Now it's time to practice your understanding of the First & Second Derivative tests, particle motion and optimization by completing the homework in your book.
Applications of Derivatives Homework - Part III5:03
Now it's time to practice your understanding of the First & Second Derivative tests, particle motion and optimization by completing the homework in your book.

Integration by Computing Areas11:24
In this lecture the student will learn the basics of what an integral is by computing area using known geometric shapes such as rectangles, triangles and semi-circles.
Area and Introduction to Rectangular Approximation Methods12:02
In this video students will begin to learn the concept of an integral by using approximation methods.
LRAM, RRAM and MRAM Approximation Methods12:49
In this video students will learn the LRAM, RRAM and MRAM approximation methods and use these methods to approximate the area under a curve that is not a geometric shape. These methods will be used ultimately to approximate an integral.
The Trapezoidal Approximation Method10:35
In this video students will learn the Trapezoidal approximation method and use these method to approximate the area under a curve that is not a geometric shape.
Applications of the Approximation Methods8:10
In this lecture you will learn how to use these approximation methods on application problems.
Area & Approximation QUIZ0:08
Test your knowledge by taking this quiz on Area & Approximation.
Area & Approximation QUIZ SOLUTIONS - Part I8:02
Check your work against mine by viewing these quiz solutions.
Area & Approximation QUIZ SOLUTIONS - Part II11:59
Check your work against mine by viewing these quiz solutions.

Requirements

Students will be expected to know prerequisite concepts from Algebra II and Pre-calculus with a focus on Trigonometry.

Description

ABCs of Calculus is an 18-hour self-paced course complete with over 80 lectures taught by Allen Parr. In this course, Allen, a former Secondary Teacher of the Year, will walk you through step-by-step the major concepts in Calculus 1. In his career he has earned a 97% passing rate on the Calculus AP exam and travels nationally teaching students strategies for success in calculus.

After downloading your 80-page workbook, students will have the opportunity to learn from a master instructor via 80 engaging lectures. This course covers limits, derivatives, first and second derivative tests, particle motion, optimization, integration, area, volume and most other concepts taught in Calculus 1. Students will have plenty of opportunities to practice these concepts. After each major lesson there is a quiz over the concepts. But don't worry, we've got you covered! After you take the quiz you will have the option of checking your work by viewing a video showing you step-by-step solutions giving you instant feedback. At the end of the course students will have the opportunity to test their knowledge on the "final exam" which is a timed test covering Non-Calculator Multiple Choice, Calculator Multiple Choice, Calculator Free Response and Non-Calculator Free Response. This course will adequately prepare you for either AB, BC or college level Calculus I. I hope to see you on the inside! You will not be disappointed.

Who this course is for:

This course is designed for high school students or college students looking to get a solid grasp on calculus 1.

ABCs of Calculus

What you'll learn

Explore related topics

Course content

Introduction Video1 lecture • 2min

Evaluating Limits6 lectures • 36min

Standard Definition of a Derivative4 lectures • 33min

Differentiation Rules7 lectures • 55min

Limits & Derivatives Homework4 lectures • 33min

First & Second Derivative Tests7 lectures • 1hr 20min

Particle Motion5 lectures • 40min

Optimization4 lectures • 36min

Applications of Derivatives Homework3 lectures • 26min

Introduction to Integration and Reimann Sums8 lectures • 1hr 15min

Requirements

Description

Who this course is for: