Calculus 1 For Beginners
4.1 (98 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
3,940 students enrolled

Calculus 1 For Beginners

An 8-hour In-Person Lecture to Everything About Calculus 1. Master This University Level Course or Your Money Back!
4.1 (98 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
3,940 students enrolled
Created by Kody Amour
Last updated 10/2017
English [Auto-generated]
Current price: $13.99 Original price: $19.99 Discount: 30% off
5 hours left at this price!
30-Day Money-Back Guarantee
This course includes
  • 7 hours on-demand video
  • 26 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • Understand and compute limits
  • Know how to take derivatives of any function
  • Apply derivatives to real-world problems
  • Understand optimization and extreme values
  • Know how to take antiderivatives
  • Understand the Fundamental Theorem of Calculus
  • Make sure you are well-prepared
  • Download the book online for FREE (details in the first lecture)
  • Take some of the pretests in the beginning of the book to check your understanding of Algebra

You'll really appreciate the flexibility of an online course as you study the principles of calculus: derivatives, integrals, limits, approximation, applications and modeling. With no preset test dates or deadlines, you can take as much time as you need to take this course.

In this course, you get over 8 hours of in-person lectures and over 10 hours of material specifically designed to cover all of the material in Calculus 1. No longer will you have to try to understand the material from the book - now you have all the in-person lectures you need. The most important part though is that this course makes Calculus fun and easy!

Become a Master of Calculus Today!

In this course, you get everything that any professor can throw at you in Calculus - all in one course. With this course:

  • You will be prepared for any test question from any University test
  • You can easily get college credit for this course
  • You can be prepared to face difficult applied problems and handle them with ease
  • You can tell your friends that you were taking antiderivatives for fun (sounds fancy right?)
  • Most importantly, you can be a Master of Calculus

There Really is No End to the Rewards of Taking This Course!

So what are you waiting for? Start the class today and be the master of what seems like an intimidating course. By the way, did I mention that the book is free?

Who this course is for:
  • Anyone who has taken algebra can take this course!
  • This is intended as a University level course - but made simple
Course content
Expand all 66 lectures 10:42:55
+ Introduction
6 lectures 43:27

Welcome to the Course! I'm so glad to have the opportunity to show you this great course! Here, we will show you what the plan is for this course.


You probably never looked at a function from this point of view. Here we describe what we will be studying in this course.

Preview 09:16

This is simply a continuation of the previous lecture. Here we give examples of some interesting functions.

Preview 13:40
Functions Reading and Exercises
14 pages

This is a good start as to what we will be studying in the first half of the course.

Preview 14:12
Average Velocity Reading and Exercises
6 pages
+ Limits
17 lectures 01:42:30

Some things we can't do. For example, you can't divide by 0, but we can try to do something like "dividing by 0" - let's try dividing by numbers that are basically 0, like 0.001?

Numerical Limits Part 1

Here we describe what a limit is in terms of left hand and right hand limits.

Numerical Limits Part 2
Numerical Limits Reading and Exercises
11 pages

It turns out that there are shortcuts to computing a limit. Here we detail how to be certain about our answers and we cover every example that test makers tend to give.

Solving Limits Algebraically
Solving Limits Algebraically Reading and Exercises
7 pages

Remember that an easy definition of continuity is: a function that can be drawn without lifting up your pen.

Continuity Reading and Exercises
11 pages

I'd much rather call this the sandwich theorem.

Squeeze Theorem
Squeeze Theorem Reading and Exercises
2 pages

Here we challenge you to connect two dots. By doing so, you understand everything!

Intermediate Value Theorem
Intermediate Value Theorem Reading and Exercises
4 pages

Here we describe the way limits distribute. Remember the distributive property? Limits can distribute better though!

Algebra of Limits
Algebra of Limits Reading and Exercises
3 pages

What does it look like to divide by 0 or to go to infinity and beyond?

Introduction to Asymptotes

Buzz Lightyear was here...

Limits to Infinity Part 1

Chances are, you weren't taught an incorrect way of how to compute limits to negative infinity. This lecture will make sense of everything though!

Limits to Infinity Part 2
Limits to Infinity Reading and Exercises
13 pages
+ Derivatives
17 lectures 01:55:37

Let's abstract the notion of slope! Here we give you a slope formula that actually looks a lot like the slope formula from algebra class, but this time, there is a limit.

Limit Definition of a Derivative
Limit Definition of a Derivative Reading and Exercises
11 pages

Here, we make sense of how to compute derivatives of functions using what we learned from the last lecture.

Examples of a Limit Definition of a Derivative

What does a derivative look like and what does it mean? How do people write it out? How do we write these things down?

What Does The Derivative Look Like?
What Does a Derivative Look Like Reading and Exercises
16 pages

Now that you learned the super complicated way, let's teach you the shortcuts. Yes, I just did that to you. Don't you wish it was the other way around?

Derivative Shortcuts
Derivative Shortcuts Reading and Exercises
11 pages

More shortcuts!

Product and Quotient Rules
Product and Quotient Rules Reading and Exercises
6 pages

This rule is tough, but we can make it easy! In this lecture, we learn a method that is rarely taught that can make the chain rule fast and easy.

Chain Rule
Chain Rule Reading and Exercises
10 pages

Now it's time to see the tough derivatives that you will likely encounter. Remember that there are only three main rules - it's just a matter of knowing which one to use and when. In this lecture, I explain how you know which rules to use and when.

Examples of Difficult Derivatives

In this lecture we learn about nth derivatives and we investigate trig derivatives. You don't need to know trig to know this lecture!

Derivative Shortcuts for Trig Functions
Trig Derivatives Reading and Exercises
8 pages

You learned how to differentiate functions of x. Now let's mix x's with y's and see what can happen.

Implicit Differentiation Part 1

Now we revisit algebra, but we make it really messy.

Implicit Differentiation Part 2
Implicit Differentiation Reading and Exercises
8 pages
+ Applications of Derivatives
19 lectures 01:48:46

We've talked briefly about tangent lines. Now, we can find them.

Tangent Lines

Estimation just got 10x better

Linear Approximation

Error is very common in most sciences and engineering. In this lecture, we see how to calculate error.

Linear Approximation and Differentials Reading and Exercises
7 pages

What is a maximum or a minimum? We investigate this for the next few lectures.

Introduction to Local Extrema
Introduction to Local Extrema Reading and Exercises
10 pages

How can we find maximums and minimums without using a calculator?

Local Extrema Examples

This is the engineering section of the course. Here, we learn how to solve engineering problems.

Related Rates and Examples
Related Rates Reading and Exercises
6 pages

This also involves engineering but with a different perspective. Sometimes you need to be efficient - here's how you do that.

Optimization and Examples
Optimization Reading and Exercises
12 pages

What comes up, must come down. That's basically what Rolle's Theorem says.

Rolle's Theorem
Rolle's Theorem Reading
2 pages

The Mean Value Theorem is just a tilted Rolle's Theorem.

Mean Value Theorem
Mean Value Theorem Reading and Exercises
5 pages

Let's graph functions without plotting points or looking at a graphing calculator.

Graphing Equations Using Derivatives
Graphing Equations Reading and Exercises
8 pages

Let's learn the fastest method to computing limits. There is no need for algebra anymore!

L'Hospital's Rule
L'Hospital's Rule Reading and Exercises
9 pages
+ Antiderivatives
5 lectures 32:09

Let's abstract the notion of area!

Introduction to Antiderivatives

It turns out that these things that we are computing give us area!

Fundamental Theorem of Calculus
Fundamental Theorem of Calculus Reading and Exercises
12 pages

How can we use rectangles to compute areas of any shape or figure?

Riemann Sums
Riemann Sums Reading and Exercises
25 pages
+ Conclusion!
1 lecture 02:21