Categories

2017-07-01 01:25:14

Learn Differential Calculus from scratch with easy explanations!

568 students enrolled

Curiosity Sale

Current price: $10
Original price: $50
Discount:
80% off

30-Day Money-Back Guarantee

- 3.5 hours on-demand video
- 28 Supplemental Resources
- Full lifetime access
- Access on mobile and TV

- Certificate of Completion

What Will I Learn?

- Apply Calculus and take derivatives of any function with one variable

Requirements

- Prerequisite for succeeding in calculus is a foundation in algebra

Description

This course is for you if you not only need a review of calculus but want to learn (or re-learn) calculus from scratch. Every rule of calculus is derived and explained in an easy to understand video lecture with every step explained. The focus is on quickly being able to work with calculus and be able to take the derivative of an arbitrary function of one variable -- while at the same time understanding what you are doing.

Who is the target audience?

- Anyone who wants to learn differential calculus independently and be able to apply it

Students Who Viewed This Course Also Viewed

Curriculum For This Course

35 Lectures

03:40:38
+
–

Precalculus Review
12 Lectures
43:06

What is a function?

Preview
02:31

Learn how to use the vertical line test to determine whether a graph represents a function or not.

Preliminaries: Functions and the Vertical Line Test

03:00

Review the notation of functions.

Preliminaries: Notation for Functions

00:41

The domain of a function is the set of all permissible input values.

Preliminaries: The Domain of a Function

05:41

The range of a function is the set of all possible output values.

Preliminaries: Range of Functions

02:00

Understand what even and odd functions are.

Preliminaries: Even and Odd Functions

06:35

Watch some examples of even and odd functions.

Preliminaries: Even and Odd Functions Examples

06:44

Introduces you to compositions of functions with a concrete example.

Preview
03:00

The formal definition of a composition of functions.

Preliminaries: Definition of Compositions

01:06

Practice compositions of functions with exercises.

Preliminaries: Practice Compositions of Functions

06:16

Preliminaries: Decomposing Functions

02:46

A geometric explanation what tangents and secants are.

Preliminaries: Tangents and Secants

02:46

+
–

The Rules of Calculus
18 Lectures
02:20:38

The basic idea of differentiation.

Preview
13:08

Differentiation explained at hand of an example. Find the velocity of an object from its trajectory.

Introduction to Differentiation Part 2

06:09

Derivatives of elementary functions such as x^n, sin(x) and cos(x) are computed.

Derivatives of Elementary Functions

13:17

Multiply a function with a constant and then differentiate.

Derivative Rules: Rescaling

07:38

Build a linear combination of functions and then differentiate.

Work through the exercises!

Derivative Rules: Linear Combinations

07:45

What is the derivative of a product of functions?

Derivative Rules: Proof of Product Rule

09:48

Derivative Rules: Product Rule for Three Factors

02:04

Practice the product rule. Work through the exercises!

Derivative Rules: Application of Product Rule

07:44

What is the derivative of a quotient of functions?

Derivative Rules: Proof of Quotient Rule

06:21

Practice the quotient rule. Work through the exercises!

Derivative Rules: Application of Quotient Rule

09:34

What is the derivative of an exponential function?

Derivatives of Elementary Functions: Exponential Functions

10:03

How do you take the derivative of a composition of functions?

Derivative Rules: Proof of Chain Rule

03:29

Practice the chain rule. Work through the exercises!

Derivative Rules: Application of Chain Rule

08:22

Derivative Rules: Chain Rule with Multiple Compositions

02:34

What is the derivative of a logarithmic function?

Work through the exercises!

Derivatives of Elementary Functions: Logarithms

07:30

It is shown that the power rule is valid for any real exponent.

Work through the exercises!

Derivatives of Elementary Functions: Power Rule

09:07

Sometimes you can not solve an equation for y(x). Through implicit differentiation you may still get y'(x).

Implicit Differentiation

11:25

The big picture. Summary of what you should have learned.

Summary of Differentiation Rules

04:40

+
–

Applying Calculus to Optimization Problems
5 Lectures
36:54

Learn what local maxima, local minima and inflection points are.

Learn how to use the first and the second derivative test to find them.

Optimization: Finding Local Extrema

09:07

Identify local extrema (maxima and minima) using the first derivative test.

Optimization: Applying the First Derivative Test

07:39

Identify local extrema (maxima and minima) using the second derivative test.

Optimization: Applying the Second Derivative Test

08:20

Optimization with a constraint. Real world-examples.

Optimization: The Optimal Shape of a Tin Can

05:51

A typical optimization problem from business and economics.

Optimization: Company Profit

05:57

About the Instructor

Physicist

- About Us
- Udemy for Business
- Become an Instructor
- Affiliate
- Blog
- Topics
- Mobile Apps
- Support
- Careers
- Resources

- Copyright © 2017 Udemy, Inc.
- Terms
- Privacy Policy and Cookie Policy
- Intellectual Property