ABCs of Calculus
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ABCs of Calculus

Become a Calculus Master!
0.0 (0 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
15 students enrolled
Created by Mr. Allen Parr
Last updated 2/2017
English
Current price: $10 Original price: $50 Discount: 80% off
5 hours left at this price!
30-Day Money-Back Guarantee
Includes:
  • 12.5 hours on-demand video
  • 10 Articles
  • 9 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I 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.
View Curriculum
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 is the target audience?
  • This course is designed for high school students or college students looking to get a solid grasp on calculus 1.
Compare to Other Calculus Courses
Curriculum For This Course
80 Lectures
12:41:17
+
Introduction Video
1 Lecture 01:53
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Evaluating Limits
6 Lectures 36:12

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!

Instructions for ABCs of Calculus
00:12

After this video you will be able to evaluate limits from the right and left and from both sides from a graph.

Preview 08:04

In this lecture you will learn how to determine whether a limit exists or not.  

Preview 08:37

In this lecture you will learn the 3 most common techniques for evaluating limits algebraically. 

Preview 06:39

Test your knowledge of limits by taking this quiz! Then watch the video to check your work. 

Take the LIMITS QUIZ
00:08

Check your work against mine to assess your knowledge of limits.

LIMITS QUIZ Solutions
12:32
+
Standard Definition of a Derivative
4 Lectures 32:51

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 I
10:50

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 II
11:36

Assess your knowledge by taking this short quiz on how to find the derivative using the standard definition of a derivative.

Take the Standard Definition of a Derivative QUIZ
00:10

Check your work against mine after you've completed the quiz. 

Standard Definition of a Derivative QUIZ SOLUTIONS
10:15
+
Differentiation Rules
7 Lectures 55:17

In this lecture you will learn the power rule of differentiation.

Using the Power Rule
06:15

In this lecture you will use the power rule to write tangent and normal lines to a curve at a specific point.

Writing Tangent and Normal Lines Using the Power Rule
11:59

In this video you will learn the product and quotient rules for differentiation. 

Product and Quotient Rules of Differentiation
07:31

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.

Writing Tangent Lines Using Product/Quotient Rules
07:00

The Chain Rule
13:07

Test your knowledge by taking this quiz on the chain rule.

Take the DIFFERENTIATION RULES QUIZ
00:09

Check your work against mine after you've completed the quiz. 

DIFFERENTIATION RULES QUIZ Solutions
09:16
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Limits & Derivatives Homework
4 Lectures 33:24

Practice your understanding by completing the homework problems on Limits & Derivatives found in your workbook.

LIMITS & DERIVATIVES HOMEWORK
00:05

Check your work against these solutions.

HOMEWORK SOLUTIONS - Part I
14:46

Check your work against these solutions.

HOMEWORK SOLUTIONS - Part II
07:56

Check your work against these solutions.

HOMEWORK SOLUTIONS - Part III
10:37
+
First & Second Derivative Tests
7 Lectures 01:19:52

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 I
12:33

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 II
11:58

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 III
09:37

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 IV
12:01

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 V
05:21

Check your understanding by practicing the problems in your work book.

First & Second Derivative Tests PRACTICE - Part I
12:22

Check your understanding by practicing the problems in your work book.

First & Second Derivative Tests PRACTICE - Part II
16:00
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Particle Motion
5 Lectures 40:22

In this lecture you will learn how to apply derivatives with problems involving position, velocity and acceleration. 

Particle Motion - Part I
11:07

In this lecture you will learn how to apply derivatives with problems involving position, velocity and acceleration. 

Particle Motion - Part II
13:36

In this lecture you will learn how to apply derivatives with problems involving position, velocity and acceleration. 

Particle Motion - Part III
04:58

Test your knowledge of particle motion by taking this quiz.

Particle Motion QUIZ
00:09

Check your work against mine after you've completed the quiz. 

Particle Motion QUIZ SOLUTIONS
10:32
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Optimization
4 Lectures 35:57

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 I
10:04

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 II
09:01

Test your knowledge of optimization by completing this quiz. 

Optimization QUIZ
00:08

Check your work against mine after you've completed the quiz. 

Optimization QUIZ SOLUTIONS
16:44
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Applications of Derivatives Homework
3 Lectures 25:33

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 I
12:34

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 II
07:56

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 III
05:03
+
Introduction to Integration and Reimann Sums
8 Lectures 01:15:09

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.

Integration by Computing Areas
11:24

In this video students will begin to learn the concept of an integral by using approximation methods.

Area and Introduction to Rectangular Approximation Methods
12:02

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.

LRAM, RRAM and MRAM Approximation Methods
12:49

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. 

The Trapezoidal Approximation Method
10:35

In this lecture you will learn how to use these approximation methods on application problems.

Applications of the Approximation Methods
08:10

Test your knowledge by taking this quiz on Area & Approximation.

Area & Approximation QUIZ
00:08

Check your work against mine by viewing these quiz solutions.

Area & Approximation QUIZ SOLUTIONS - Part I
08:02

Check your work against mine by viewing these quiz solutions.

Area & Approximation QUIZ SOLUTIONS - Part II
11:59
6 More Sections
About the Instructor
Mr. Allen Parr
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0 Reviews
15 Students
1 Course
Math Instructor at MathGrip

Allen Parr, founder of MathGrip, teaches Calculus BC and Pre-Advanced Placement Pre-calculus in the McKinney ISD where he has taught for the past six years. Mr. Parr was recently selected as the 2015 Secondary Teacher of the Year for McKinney ISD and was the top finalist for the 2015 Secondary Teacher of the Year for Region X.

His strong mathematical background includes a Bachelor of Science and a Master of Science degree in Electrical Engineering and Applied Physics from Case Western Reserve University where he graduated Summa Cum Laude.  Mr. Parr has been tutoring math for approximately 15 years in the Highland Park, McKinney, Allen, Plano and Frisco areas.  Mr. Parr also serves as a lead instructor for the National Math and Science Initiative program.

Mr. Parr has a unique way of explaining complex mathematical concepts. He loves math and working with students to help them feel confident in their mastery of math.