Calculus

What will i learn?

- Understand The Vocabulary of Calculus
- Derivatives, including all of the derivative rules, Shortcut Rules
- Everything about Euler functions and Sinc functions, I.V.T. and Squeeze, Zero Limit Rule
- Limits & Continuity and how to find discontinuities in a function

Curriculum for this course

90 Lectures
19:55:21

Comprehensive Quiz: Pass This Quiz And You Should Be Ready for Calculus 2!

1 Lectures
00:05:50

- Comprehensive Quiz: Pass This Quiz And You Should Be Ready for Calculus 2! 1 question
- You are introduced to sets and set concepts. 00:05:50

You will be introduced to limits and continuity.

11 Lectures
01:15:04

- You are warmly introduced to my class! 00:01:00
- Ordinary limits and continuity. 00:02:48
- Empty holes and oscillatory graphs. 00:02:30
- One-sided limits...and one-sided continuity 00:03:00
- One-sided example 00:10:56
- Horizontal Asymptote 00:06:33
- Vertical Asymptote 00:17:47
- Important Limit Rules...Memorize! 00:08:02
- Limit Rule Examples 00:08:52
- Horizontal Asymptote Model Example 00:05:13
- Horizontal Asymptote Example 00:08:23

You should memorize the limit rules

4 Lectures
00:50:06

- Composition of Continuous Functions 00:09:49
- Substitution 00:19:52
- Euler functions and Sinc functions 00:07:53
- I.V.T. and Squeeze 00:12:32

You will get the hang of the Heaviside and step functions

2 Lectures
00:30:01

- What can be said of the Heaviside function? 2 questions
- Zero Limit Rule 00:12:52
- Heaviside and step functions 00:17:09

Example problems for you

3 Lectures
00:47:43

- Limit examples 00:17:42
- Horizontal asymptote examples 00:15:40
- Tricky limit examples with radicals 00:14:21

You will be introduced to the derivative concept.

17 Lectures
04:45:05

- Derivative definition 00:19:58
- Tangent lines 00:19:41
- Tangent line example 00:19:38
- Derivative example 00:19:06
- Derivatives of polynomials 00:03:14
- Non-differentiable at a point 00:09:56
- Derivatives of radicals/roots 00:19:50
- Derivatives of negative power functions 00:19:50
- Cube root derivative using limits 00:19:49
- Secant derivative using limits 00:19:31
- Euler limits again 00:19:33
- Asymptotes again 00:19:31
- Back to derivatives 00:19:52
- More derivatives 00:19:55
- Differentiating the cot function 00:03:01
- Continuous but not differentiable 00:12:49
- Tangent line review 00:19:51

Derivative shortcut rules

47 Lectures
11:41:32

- For each f(x), find d/dx[f(x)] 8 questions
- Implicit Differentiation Quiz 7 questions
- Differentials Quiz 5 questions
- Shortcut Rules! 00:19:46
- Shortcut examples! 00:19:00
- Power Rule With Rational Exponents 00:16:21
- Chain Rule 00:16:00
- Chain Rule 2 00:10:58
- Shortcuts And Exponents 00:15:52
- Shortcuts And Exponents Part 2 00:11:11
- Shortcuts And Exponents Part 3 00:11:12
- Chain Rule Again 00:11:00
- Chain Rule And Quotient Rule 00:10:04
- Quotient Rule 00:05:55
- Quotient Rule Part 2 00:13:45
- Quotient Rule Part 3 00:11:03
- Chain Rule And Product Rule 00:19:59
- Chain Rule Extended 00:05:50
- Chain Rule Extended Part 2 00:19:39
- Chain Rule Part 3 Modified 00:19:12
- More Examples Garden Variety 00:19:15
- Example From The Last Video Extended 00:05:39
- Derivatives Of Terms With Radical Exponents 00:19:58
- Derivatives Of Power Functions 00:10:29
- Handling Differentiation At An Exceptional Point 00:10:03
- Logs Logs 00:19:52
- Easy Calculus And Hard Algebra. 00:17:40
- Review Of Chain Rule 00:09:08
- Higher Order Derivatives 00:19:59
- Higher Order Derivatives Continued 00:19:54
- Existence Of The Second Derivative At A Particular Point 00:06:25
- Implicit Differentiation 00:19:56
- More Implicit Differentiation 00:08:00
- More Implicit Differentiation 00:19:56
- More Implicit Differentiation 00:11:06
- Differentials 00:17:31
- More Differentials 00:19:56
- More Differentials 00:05:34
- Extrema Part 1 00:18:37
- Extrema Part 2 00:16:31
- Extrema Part 3 00:11:52
- Extrema Part 4 00:15:07
- Increase And Decrease 00:17:25
- Increase And Decrease Alternative Explanation 00:19:34
- Mean Value Theorem 00:16:15
- Concavity Prelude 00:19:54
- Concavity I 00:19:49
- Concavity II 00:19:03
- L'Hospital's Rule 00:19:58
- Newton's Method 00:10:19

Requirements

- A Basic Calculator
- Basic Algebra and Trigonometry Knowledge
- A decent foundation Algebra/Trigonometry (it doesn't have to be perfect! :D)
- Arithmetically Strong though (times tables, adding, etc.)

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Description

**Student Recommendation: **

" Started the course today. I like it. So far it's been review of calculus and it's been a good, simple review. Jason explains things well. I like the video lectures. I think I can finish this course way faster than studying a textbook on my own because of the video lectures seem to make learning faster. Thanks " ---- *Virat Karam*

**Learn Calculus: With Fundamental Explanations And Quizzes **was made and designed with unlimited resources about calculus and all-time guideline available for respected students .This 85 lectures, Quizzes and 20 hour course explain most of the valuable things in calculus, and it includes shortcut rules, text explanations and examples to help you test your understanding along the way. Become a Calculus Master with this course and be ready for your college calculus course.

Calculus Mathematics seems to be a dark art … full of confusion, misconceptions, misleading information, and students afraid of it. But at heart, Calculus is pretty simple, and this course explains it all..

At the end of this course you'll have a firm understanding of how Calculus works, **Derivative Rules & Examples with shortcut tricks**,** Limits and Continuity **and a complete series of calculus with quizzes.

In this course you will get to know about :

- Limits and Continuity.
- Difference Quotient
- Empty holes and oscillatory graphs
- Horizontal & Vertical Asymptote with Examples
- Composition of Continuous Functions
- Euler functions and Sinc functions
- I.V.T. and Squeeze
- Zero Limit Rule
- Derivative Rules & Examples
- Cube Root Derivative

And Much More in One Place!

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