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Master Calculus 1: Complete 2020 Basic-To-Advanced Course

An 8-hour In-Person Lecture to Everything About Calculus 1. Master This University Level Course or Your Money Back!
Instructor:
Kody Amour
3,991 students enrolled
English [Auto]
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

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?

1
Introduction Video

Introduction

1
Introduction

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.

2
Functions Part 1

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

3
Functions Part 2

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

4
Functions Reading and Exercises
5
Average Velocity

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

6
Average Velocity Reading and Exercises

Limits

1
Numerical Limits Part 1

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?

2
Numerical Limits Part 2

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

3
Numerical Limits Reading and Exercises
4
Solving Limits Algebraically

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.

5
Solving Limits Algebraically Reading and Exercises
6
Continuity

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

7
Continuity Reading and Exercises
8
Squeeze Theorem

I'd much rather call this the sandwich theorem.

9
Squeeze Theorem Reading and Exercises
10
Intermediate Value Theorem

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

11
Intermediate Value Theorem Reading and Exercises
12
Algebra of Limits

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

13
Algebra of Limits Reading and Exercises
14
Introduction to Asymptotes

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

15
Limits to Infinity Part 1

Buzz Lightyear was here...

16
Limits to Infinity Part 2

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!

17
Limits to Infinity Reading and Exercises

Derivatives

1
Limit Definition of a Derivative

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.

2
Limit Definition of a Derivative Reading and Exercises
3
Examples of a Limit Definition of a Derivative

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

4
What Does The Derivative Look Like?

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

5
What Does a Derivative Look Like Reading and Exercises
6
Derivative Shortcuts

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?

7
Derivative Shortcuts Reading and Exercises
8
Product and Quotient Rules

More shortcuts!

9
Product and Quotient Rules Reading and Exercises
10
Chain Rule

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.

11
Chain Rule Reading and Exercises
12
Examples of Difficult Derivatives

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.

13
Derivative Shortcuts for Trig Functions

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

14
Trig Derivatives Reading and Exercises
15
Implicit Differentiation Part 1

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

16
Implicit Differentiation Part 2

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

17
Implicit Differentiation Reading and Exercises

Applications of Derivatives

1
Tangent Lines

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

2
Linear Approximation

Estimation just got 10x better

3
Differentials

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

4
Linear Approximation and Differentials Reading and Exercises
5
Introduction to Local Extrema

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

6
Introduction to Local Extrema Reading and Exercises
7
Local Extrema Examples

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

8
Related Rates and Examples

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

9
Related Rates Reading and Exercises
10
Optimization and Examples

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

11
Optimization Reading and Exercises
12
Rolle's Theorem

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

13
Rolle's Theorem Reading
14
Mean Value Theorem

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

15
Mean Value Theorem Reading and Exercises
16
Graphing Equations Using Derivatives

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

17
Graphing Equations Reading and Exercises
18
L'Hospital's Rule

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

19
L'Hospital's Rule Reading and Exercises

Antiderivatives

1
Introduction to Antiderivatives

Let's abstract the notion of area!

2
Fundamental Theorem of Calculus

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

3
Fundamental Theorem of Calculus Reading and Exercises
4
Riemann Sums

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

5
Riemann Sums Reading and Exercises

Conclusion!

1
Conclusion

Congrats!

You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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