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Calculus (Calculus 1; Calculus A; Differential Calculus)

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Learn the core topics of Calculus to open doors to Computer Science, Data Science, Actuarial Science, and more!

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Current price: $10
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- 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.

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

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Curriculum For This Course

Expand All 67 Lectures
Collapse All 67 Lectures
05:25:21

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Introduction
1 Lecture
03:20

Preview
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

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About the Instructor

PhD in Mathematics

*Philosophy of Language: Solidify Critical Thinking Skills* and *Linear Algebra for Beginners: Open Doors to Great Careers*.

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