Calculus: Complete Course

Calculus: Complete Course, available at $54.99, has an average rating of 4.69, with 121 lectures, 64 quizzes, based on 43 reviews, and has 436 subscribers.

You will learn about Differentiation Integration Differential Equations Optimization Chain Rule, Product Rule, Quotient Rule Limits Maclaurin and Taylor Series This course is ideal for individuals who are Data scientists or People studying calculus or Engineers or Financial analysts or Anyone looking to expand their knowledge of mathematics It is particularly useful for Data scientists or People studying calculus or Engineers or Financial analysts or Anyone looking to expand their knowledge of mathematics.

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Summary

Title: Calculus: Complete Course

Price: $54.99

Average Rating: 4.69

Number of Lectures: 121

Number of Quizzes: 64

Number of Published Lectures: 121

Number of Published Quizzes: 64

Number of Curriculum Items: 185

Number of Published Curriculum Objects: 185

Original Price: £199.99

Quality Status: approved

Status: Live

What You Will Learn

Differentiation
Integration
Differential Equations
Optimization
Chain Rule, Product Rule, Quotient Rule
Limits
Maclaurin and Taylor Series

Who Should Attend

Data scientists
People studying calculus
Engineers
Financial analysts
Anyone looking to expand their knowledge of mathematics

Target Audiences

Data scientists
People studying calculus
Engineers
Financial analysts
Anyone looking to expand their knowledge of mathematics

This is course designed to take you from beginner to expert in calculus. It is designed to be fun, hands on and full of examplesand explanations. It is suitable for anyone who wants to learn calculus in a rigorousyet intuitiveand enjoyableway.

The concepts covered in the course lie at the heart of other disciples, like machine learning, data science, engineering, physics, financial analysis and more.

Videos packed with worked examples and explanations so you never get lost, and many of the topics covered are implemented in Geogebra, a free graphing software package.

Key concepts taught in the course are:

Differentiation Key Skills: learn what it is, and how to use it to find gradients, maximum and minimum points, and solve optimisation problems.
Integration Key Skills: learn what it is, and how to use it to find areas under and between curves.
Methods in Differentiation: The Chain Rule, Product Rule, Quotient Rule and more.
Methods in Integration: Integration by substitution, by parts, and many more advanced techniques.
Applications of Differentiation: L’Hopital’s rule, Newton’s method, Maclaurin and Taylor series.
Applications in Integration: Volumes of revolution, surface areas and arc lengths.
Alternative Coordinate Systems: parametric equations and polar curves.
1st Order Differential Equations: learn a range of techniques, including separation of variables and integrating factors.
2nd Order Differential Equations: learn how to solve homogeneous and non-homogeneous differential equations as well as coupled and reducible differential equations.
Much, much more!

The course requires a solid understanding of algebra. In order to progress past the first few chapters, an understanding of trigonometry, exponentials and logarithms is useful, though I give a brief introduction to each.

Please note: This course is notlinked to the US syllabus Calc 1, Calc 2 & Calc 3 courses, and not designed to prepare you specifically for these. The course will be helpful for students working towards these, but that’s not the aim of this course.

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Lecture 2: What's in the Course?

Chapter 2: Introduction to Calculus

Lecture 1: What is Calculus

Lecture 2: Intuitive Limits

Lecture 3: Terminology

Lecture 4: The Derivative of a Polynomial at a Point

Lecture 5: The Derivative of a Polynomial in General

Lecture 6: The Derivative of x^n

Lecture 7: Short Guide to "ASCII Math"

Lecture 8: The Derivative of x^n – Proof

Lecture 9: Negative and Fractional Powers

Lecture 10: Getting Started with Geogebra

Chapter 3: Differentiation – Key Skills

Lecture 1: Finding the Gradient at a Point

Lecture 2: Tangents

Lecture 3: Normals

Lecture 4: Stationary Points

Lecture 5: Increasing and Decreasing Functions

Lecture 6: Second Derivatives

Lecture 7: Optimisation – Part 1

Lecture 8: Optimisation – Part 2

Lecture 9: Geogebra for Differentiation

Chapter 4: Integration – Key Skills

Lecture 1: Reverse Differentiation

Lecture 2: Families of Functions

Lecture 3: Finding Functions

Lecture 4: Integral Notation

Lecture 5: Integration as Area – An Intuitive Approach

Lecture 6: Integration as Area – An Algebraic Proof

Lecture 7: Areas Under Curves – Part 1

Lecture 8: Areas Under Curves – Part 2

Lecture 9: Areas Under the X-Axis

Lecture 10: Areas Between Functions

Lecture 11: Geogebra for Integration

Chapter 5: Applications of Calculus

Lecture 1: Motion

Lecture 2: Probability

Chapter 6: Calculus with Chains of Polynomials

Lecture 1: f(x)^n – Spotting a Pattern

Lecture 2: Differentiating f(x)^n – An Algebraic Proof

Lecture 3: The Chain Rule for f(x)^n

Lecture 4: Using the Chain Rule for f(x)^n

Lecture 5: Reverse Chain Rule for f(x)^n

Lecture 6: Reverse Chain Rule for f(x)^n – Definite Integrals

Chapter 7: Calculus with Exponentials and Logarithms

Lecture 1: Introduction to Exponentials

Lecture 2: Introduction to Logarithms

Lecture 3: THE Exponential Function

Lecture 4: Differentiating Exponentials

Lecture 5: Differentiating Chains of Exponentials – Part 1

Lecture 6: Differentiating Chains of Exponentials – Part 2

Lecture 7: The Natural Log and its Derivative

Lecture 8: Differentiating Chains of Logarithms

Lecture 9: Reverse Chain Rule for Exponentials

Lecture 10: Reverse Chain Rule for Logarithms

Chapter 8: Calculus with Trigonometric Functions

Lecture 1: Radians

Lecture 2: Small Angle Approximations

Lecture 3: Differentiating Sin(x) and Cos(x)

Lecture 4: OPTIONAL – Proof of the Addition Formulae

Lecture 5: Differentiating Chains of Sin(x) and Cos(x)

Lecture 6: Reverse Chain Rule for Trig Functions

Instructors

Woody Lewenstein
Mathematics Teacher

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4 stars: 10 votes
5 stars: 30 votes

Frequently Asked Questions

How long do I have access to the course materials?

You can view and review the lecture materials indefinitely, like an on-demand channel.

Can I take my courses with me wherever I go?

Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!

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