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Brought to you by the instructor of the successful courses Linear Algebra for Beginners: Open Doors to Great Careers and Linear Algebra for Beginners: Open Doors to Great Careers 2!

"Awesome foundation!"  Michael Sinegar
"Clearly delivered in digestible chunks"  Herman Leung
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Would you like to learn a mathematics subject that is crucial for many highdemand lucrative career fields such as:
If you're looking to gain a solid foundation in Differential Calculus, allowing you to study on your own schedule at a fraction of the cost it would take at a traditional university, to further your career goals, this online course is for you. If you're a working professional needing a refresher on calculus or a complete beginner who needs to learn Calculus for the first time, this online course is for you.
Why you should take this online course: You need to refresh your knowledge of calculus for your career to earn a higher salary. You need to learn calculus because it is a required mathematical subject for your chosen career field such as computer science or electrical engineering. You intend to pursue a masters degree or PhD, and calculus is a required or recommended subject.
Why you should choose this instructor: I earned my PhD in Mathematics from the University of California, Riverside. I have extensive teaching experience: 6 years as a teaching assistant at University of California, Riverside, over two years as a faculty member at Western Governors University, #1 in secondary education by the National Council on Teacher Quality, and as a faculty member at Trident University International.
In this course, I cover the core concepts such as:
After taking this course, you will feel CAREFREE AND CONFIDENT. I will break it all down into bitesized nobrainer chunks. I explain each definition and go through each example STEP BY STEP so that you understand each topic clearly. I will also be AVAILABLE TO ANSWER ANY QUESTIONS you might have on the lecture material or any other questions you are struggling with.
Practice problems are provided for you, and detailed solutions are also provided to check your understanding.
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Section 1: Introduction  

Lecture 1 
Introduction
Preview

03:20  
Section 2: Limits  
Lecture 2  04:23  
Students will learn about the tangent line, one of the reasons for the importance of limits. 

Lecture 3  04:25  
Students will learn about velocity, another reason for the importance of limits. 

Lecture 4  1 page  
Practice problems for The Tangent Line and Velocity. 

Lecture 5  2 pages  
Solutions to problem set The Tangent Line and Velocity 

Lecture 6  05:06  
Students will learn the intuitive definition of the limit of a function. 

Lecture 7  05:48  
Students will learn how to find onesided limits. 

Lecture 8  05:02  
In this lecture, the notion of infinite limit is explained. 

Lecture 9  5 pages  
Practice problems for The Limit of a Function 

Lecture 10  2 pages  
Solutions to problem set The Limit of a Function 

Lecture 11  11:57  
Students will learn how to apply the limit laws. 

Lecture 12  2 pages  
Practice problems for Limit Laws. 

Lecture 13  3 pages  
Solutions to problem set Limit Laws 

Lecture 14  15:40  
Students will learn the precise definition of a limit and learn how to prove limit statements. 

Lecture 15  1 page  
Practice problems for Precise Definition of Limit 

Lecture 16  3 pages  
Solutions to problem set Precise Definition of Limit 

Section 3: Continuity  
Lecture 17  10:26  
In this lecture, students will learn about continuity and examples of discontinuity. 

Lecture 18  1 page  
Practice problems for Continuity 

Lecture 19  1 page  
Solutions to problem set Continuity 

Lecture 20  06:50  
This lecture explains the Intermediate Value Theorem, and we will look at an application of the theorem. 

Lecture 21  1 page  
Practice problems for Intermediate Value Theorem 

Lecture 22  1 page  
Solutions to problem set Intermediate Value Theorem 

Lecture 23 
Review Request

1 page  
Section 4: Derivatives  
Lecture 24  07:58  
Students will learn the definition of derivative and how the derivative relates to tangent lines and velocities. 

Lecture 25  10:12  
In this lecture, students will learn how to calculate derivatives using the definition of derivative. 

Lecture 26  1 page  
Practice problems for Derivatives 

Lecture 27  4 pages  
Solutions to problem set Derivatives 

Lecture 28  07:26  
Students will learn the definition of the derivative of a function at a variable x. 

Lecture 29  02:12  
Students will learn what it means for a function to be differentiable at x=a. 

Lecture 30  11:29  
Students will learn about a corner, a case where differentiability fails. 

Lecture 31  00:47  
Students will learn about a cusp, another case where differentiability fails. 

Lecture 32  00:39  
Students will learn about the relationship between differentiability and continuity. 

Lecture 33  1 page  
Practice problems for Differentiability 

Lecture 34  3 pages  
Solutions to problem set Differentiability 

Lecture 35  12:53  
In this lecture, students will learn how to apply the differentiation rules. 

Lecture 36  1 page  
Practice problems for Differentiation Rules 

Lecture 37  2 pages  
Solutions to problem set Differentiation Rules 

Lecture 38  03:22  
Students will learn what the derivatives of the six trigonometric functions are. 

Lecture 39  1 page  
Practice problems for Derivatives of Trigonometric Functions 

Lecture 40  2 pages  
Solutions to problem set Derivatives of Trigonometric Functions 

Lecture 41  13:03  
Students will learn how to apply the chain rule to find the derivative of composite functions. 

Lecture 42  1 page  
Practice problems for Chain Rule 

Lecture 43  3 pages  
Solutions to problem set Chain Rule 

Lecture 44  07:25  
Students will learn how to apply implicit differentiation when a function is expressed implicitly as a function of x. 

Lecture 45  13:33  
In this lecture, we explore an example of implicit differentiation that involves an intriguing curve. 

Lecture 46  1 page  
Practice problems for Implicit Differentiation 

Lecture 47  3 pages  
Solutions to problem set Implicit Differentiation 

Section 5: Rates of Change  
Lecture 48  06:15  
In this lecture, we look at some applications of rates of change in economics and physics. 

Lecture 49  11:07  
Students will learn how to solve related rates problems. 

Lecture 50  05:48  
In this lecture, we see how related rates are used in finding marginal profit. 

Lecture 51  1 page  
Practice problems for Related Rates 

Lecture 52  3 pages  
Solutions to problem set Related Rates 

Lecture 53 
Review Request

1 page  
Section 6: Applications of Derivatives  
Lecture 54  04:31  
The definitions of absolute maximum and minimum values are provided, and the definition of critical number is provided. 

Lecture 55  19:30  
Students will learn a procedure for finding absolute maximum and minimum values. 

Lecture 56  1 page  
Practice problems for Finding Absolute Maximum and Minimum Values 

Lecture 57  3 pages  
Solutions to problem set Finding Absolute Maximum and Minimum Values 

Lecture 58  17:04  
Students will learn how to apply the First Derivative Test to find local maximum and minimum values. 

Lecture 59  10:34  
An additional example of finding local maximum and minimum values is provided. 

Lecture 60  1 page  
Practice problems for Finding Local Maximum and Minimum Values 

Lecture 61  4 pages  
Solutions to problem set Finding Local Maximum and Minimum Values 

Lecture 62  10:04  
Students will learn how to solve optimization problems. 

Lecture 63  05:32  
An additional optimization problem is explored. 

Lecture 64  1 page  
Practice problems for Optimization. 

Lecture 65  6 pages  
Solutions to problem set Optimization. 

Section 7: Conclusion  
Lecture 66 
Concluding Letter

1 page  
Lecture 67 
Bonus Lecture

2 pages 
Hi there! My name is Richard Han. I earned my PhD in Mathematics from the University of California, Riverside. I have extensive teaching experience: 6 years as a teaching assistant at University of California, Riverside, over two years as a faculty member at Western Governors University, #1 in secondary education by the National Council on Teacher Quality, and as a faculty member at Trident University International. My expertise includes calculus and linear algebra. I am an instructor on Udemy for the courses Philosophy of Language: Solidify Critical Thinking Skills and Linear Algebra for Beginners: Open Doors to Great Careers.