Calculus (Calculus 1; Calculus A; Differential Calculus)

Learn the core topics of Calculus to open doors to Computer Science, Data Science, Actuarial Science, and more!
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  • Lectures 67
  • Contents Video: 4 hours
    Other: 1 hour
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 7/2015 English

Course Description

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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!

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"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 high-demand lucrative career fields such as:

  • Computer Science
  • Data Science
  • Actuarial Science
  • Financial Mathematics
  • Biology
  • Engineering
  • Machine Learning
  • Economics

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:

  • Limits
  • Continuity
  • Differentiation
  • Rates of Change
  • Related Rates
  • Optimization

After taking this course, you will feel CARE-FREE AND CONFIDENT. I will break it all down into bite-sized no-brainer 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.

30 day full refund if not satisfied.

Grab a cup of coffee and start listening to the first lecture. I, and your peers, are here to help. We're waiting for your insights and questions! Enroll now!

What are the requirements?

  • Basic understanding of algebra

What am I going to get from this course?

  • Refresh your math knowledge.
  • Gain a firm foundation in Calculus for furthering your career.
  • Learn one of the mathematical subjects crucial for engineering, physics, economics, biology, medicine, computer science, and business among many others.
  • Learn one of the mathematical subjects needed for becoming an actuary.
  • Learn a mathematical subject useful in Machine Learning.

What is the target audience?

  • Working Professionals
  • Anyone interested in gaining mastery of the core concepts in Differential Calculus.
  • Adult Learners
  • College Students

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction
Introduction
Preview
03:20
Section 2: Limits
04:23

Students will learn about the tangent line, one of the reasons for the importance of limits.

04:25

Students will learn about velocity, another reason for the importance of limits.

1 page

Practice problems for The Tangent Line and Velocity.

2 pages

Solutions to problem set The Tangent Line and Velocity

05:06

Students will learn the intuitive definition of the limit of a function.

05:48

Students will learn how to find one-sided limits.

05:02

In this lecture, the notion of infinite limit is explained.

5 pages

Practice problems for The Limit of a Function

2 pages

Solutions to problem set The Limit of a Function

11:57

Students will learn how to apply the limit laws.

2 pages

Practice problems for Limit Laws.

3 pages

Solutions to problem set Limit Laws

15:40

Students will learn the precise definition of a limit and learn how to prove limit statements.

1 page

Practice problems for Precise Definition of Limit

3 pages

Solutions to problem set Precise Definition of Limit

Section 3: Continuity
10:26

In this lecture, students will learn about continuity and examples of discontinuity.

1 page

Practice problems for Continuity

1 page

Solutions to problem set Continuity

06:50

This lecture explains the Intermediate Value Theorem, and we will look at an application of the theorem.

1 page

Practice problems for Intermediate Value Theorem

1 page

Solutions to problem set Intermediate Value Theorem

Review Request
1 page
Section 4: Derivatives
07:58

Students will learn the definition of derivative and how the derivative relates to tangent lines and velocities.

10:12

In this lecture, students will learn how to calculate derivatives using the definition of derivative.

1 page

Practice problems for Derivatives

4 pages

Solutions to problem set Derivatives

07:26

Students will learn the definition of the derivative of a function at a variable x.

02:12

Students will learn what it means for a function to be differentiable at x=a.

11:29

Students will learn about a corner, a case where differentiability fails.

00:47

Students will learn about a cusp, another case where differentiability fails.

00:39

Students will learn about the relationship between differentiability and continuity.

1 page

Practice problems for Differentiability

3 pages

Solutions to problem set Differentiability

12:53

In this lecture, students will learn how to apply the differentiation rules.

1 page

Practice problems for Differentiation Rules

2 pages

Solutions to problem set Differentiation Rules

03:22

Students will learn what the derivatives of the six trigonometric functions are.

1 page

Practice problems for Derivatives of Trigonometric Functions

2 pages

Solutions to problem set Derivatives of Trigonometric Functions

13:03

Students will learn how to apply the chain rule to find the derivative of composite functions.

1 page

Practice problems for Chain Rule

3 pages

Solutions to problem set Chain Rule

07:25

Students will learn how to apply implicit differentiation when a function is expressed implicitly as a function of x.

13:33

In this lecture, we explore an example of implicit differentiation that involves an intriguing curve.

1 page

Practice problems for Implicit Differentiation

3 pages

Solutions to problem set Implicit Differentiation

Section 5: Rates of Change
06:15

In this lecture, we look at some applications of rates of change in economics and physics.

11:07

Students will learn how to solve related rates problems.

05:48

In this lecture, we see how related rates are used in finding marginal profit.

1 page

Practice problems for Related Rates

3 pages

Solutions to problem set Related Rates

Review Request
1 page
Section 6: Applications of Derivatives
04:31

The definitions of absolute maximum and minimum values are provided, and the definition of critical number is provided.

19:30

Students will learn a procedure for finding absolute maximum and minimum values.

1 page

Practice problems for Finding Absolute Maximum and Minimum Values

3 pages

Solutions to problem set Finding Absolute Maximum and Minimum Values

17:04

Students will learn how to apply the First Derivative Test to find local maximum and minimum values.

10:34

An additional example of finding local maximum and minimum values is provided.

1 page

Practice problems for Finding Local Maximum and Minimum Values

4 pages

Solutions to problem set Finding Local Maximum and Minimum Values

10:04

Students will learn how to solve optimization problems.

05:32

An additional optimization problem is explored.

1 page

Practice problems for Optimization.

6 pages

Solutions to problem set Optimization.

Section 7: Conclusion
Concluding Letter
1 page
Bonus Lecture
2 pages

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Instructor Biography

Richard Han, PhD in Mathematics

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.

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