Calculus (Calculus 1; Calculus A; Differential Calculus)
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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!
4.3 (13 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1,820 students enrolled
Created by Richard Han
Last updated 11/2016
English
English
Curiosity Sale
Current price: $10 Original price: $20 Discount: 50% off
30-Day Money-Back Guarantee
Includes:
  • 4 hours on-demand video
  • 36 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • 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.
View Curriculum
Requirements
  • Basic understanding of algebra
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!

Who is the target audience?
  • Working Professionals
  • Anyone interested in gaining mastery of the core concepts in Differential Calculus.
  • Adult Learners
  • College Students
Students Who Viewed This Course Also Viewed
Curriculum For This Course
67 Lectures
05:25:21
+
Introduction
1 Lecture 03:20
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Limits
15 Lectures 52:21

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

Preview 04:23

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

Velocity
04:25

Practice problems for The Tangent Line and Velocity.

Problem Set: The Tangent Line and Velocity
1 page

Solutions to problem set The Tangent Line and Velocity

Solutions to Problem Set: The Tangent Line and Velocity
2 pages

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

The Limit of a Function
05:06

Students will learn how to find one-sided limits.

Preview 05:48

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

Infinite Limits
05:02

Practice problems for The Limit of a Function

Problem Set: The Limit of a Function
5 pages

Solutions to problem set The Limit of a Function

Solutions to Problem Set: The Limit of a Function
2 pages

Students will learn how to apply the limit laws.

Limit Laws
11:57

Practice problems for Limit Laws.

Preview 2 pages

Solutions to problem set Limit Laws

Preview 3 pages

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

Precise Definition of Limit
15:40

Practice problems for Precise Definition of Limit

Problem Set: Precise Definition of Limit
1 page

Solutions to problem set Precise Definition of Limit

Solutions to Problem Set: Precise Definition of Limit
3 pages
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Continuity
7 Lectures 17:16

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

Continuity
10:26

Practice problems for Continuity

Preview 1 page

Solutions to problem set Continuity

Solutions to Problem Set: Continuity
1 page

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

Intermediate Value Theorem
06:50

Practice problems for Intermediate Value Theorem

Problem Set: Intermediate Value Theorem
1 page

Solutions to problem set Intermediate Value Theorem

Solutions to Problem Set: Intermediate Value Theorem
1 page

Review Request
1 page
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Derivatives
24 Lectures 01:30:59

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

Preview 07:58

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

Preview 10:12

Practice problems for Derivatives

Problem Set: Derivatives
1 page

Solutions to problem set Derivatives

Solutions to Problem Set: Derivatives
4 pages

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

The Derivative as a Function
07:26

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

Definition of Differentiability
02:12

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

Corners
11:29

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

Cusps
00:47

Students will learn about the relationship between differentiability and continuity.

Differentiability and Continuity
00:39

Practice problems for Differentiability

Preview 1 page

Solutions to problem set Differentiability

Solutions to Problem Set: Differentiability
3 pages

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

Differentiation Rules
12:53

Practice problems for Differentiation Rules

Preview 1 page

Solutions to problem set Differentiation Rules

Preview 2 pages

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

Derivatives of Trigonometric Functions
03:22

Practice problems for Derivatives of Trigonometric Functions

Problem Set: Derivatives of Trigonometric Functions
1 page

Solutions to problem set Derivatives of Trigonometric Functions

Solutions to Problem Set: Derivatives of Trigonometric Functions
2 pages

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

Chain Rule
13:03

Practice problems for Chain Rule

Problem Set: Chain Rule
1 page

Solutions to problem set Chain Rule

Solutions to Problem Set: Chain Rule
3 pages

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

Preview 07:25

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

Implicit Differentiation: Additional Example
13:33

Practice problems for Implicit Differentiation

Problem Set: Implicit Differentiation
1 page

Solutions to problem set Implicit Differentiation

Solutions to Problem Set: Implicit Differentiation
3 pages
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Rates of Change
6 Lectures 23:10

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

Rates of Change Applications
06:15

Students will learn how to solve related rates problems.

Preview 11:07

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

Related Rates: Additional Example
05:48

Practice problems for Related Rates

Preview 1 page

Solutions to problem set Related Rates

Solutions to Problem Set: Related Rates
3 pages

Review Request
1 page
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Applications of Derivatives
12 Lectures 01:07:15

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

Preview 04:31

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

Preview 19:30

Practice problems for Finding Absolute Maximum and Minimum Values

Preview 1 page

Solutions to problem set Finding Absolute Maximum and Minimum Values

Solutions to Problem Set: Finding Absolute Maximum and Minimum Values
3 pages

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

Finding Local Maximum and Minimum Values
17:04

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

Finding Local Maximum and Minimum Values: Additional Example
10:34

Practice problems for Finding Local Maximum and Minimum Values

Problem Set: Finding Local Maximum and Minimum Values
1 page

Solutions to problem set Finding Local Maximum and Minimum Values

Solutions to Problem Set: Finding Local Maximum and Minimum Values
4 pages

Students will learn how to solve optimization problems.

Optimization
10:04

An additional optimization problem is explored.

Optimization: Additional Example
05:32

Practice problems for Optimization.

Problem Set: Optimization
1 page

Solutions to problem set Optimization.

Solutions to Problem Set: Optimization
6 pages
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Conclusion
2 Lectures 00:00
Concluding Letter
1 page

Bonus Lecture
2 pages
About the Instructor
Richard Han
4.3 Average rating
382 Reviews
5,834 Students
6 Courses
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.