This 12-minute video gives an example of using a line integral to find the work done by a vector field.
This video looks at using the product rule and the chain rule.
This 16-minute video lesson shows that unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent.
This video looks at different ways of representing a flux integral.
This 13-minute video lesson provides a concrete example of the derivative of a vector valued function to better understand what it means.
This video provides a Visualizing derivatives exercise.
This 7-minute video lecture looks at using the Wolfram Alpha to approximate sin(x).
This 7-minute video lesson looks at visualizing the Taylor Series for e^x.
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
This 9-minute video lesson shows how to figure out the equation for the volume of a sphere.
This video looks at the Washer method when rotating around a horizontal line that is not the x-axis.
This video covers setting up the definite integral for the volume of a solid of revolution around a vertical line using the "washer" or "ring" method.
This video looks at the intuition as to why we got no net flux in the last worked example.
Study Guides - for almost anything you can study at school!
Literature Notes - for over 300 novels / books including Shakespeare, Catching Fire and many more! Includes summaries, character info, symbols, questions, quizzes (some), and analysis.
Test Prep - from high school to grad school (USA-based)
Desmos now has way more than just a graphing calculator (which is pretty great too!).
You can now access student or teacher accounts for free and find interactive lessons for online and classroom learning for Grade 6-12+ Math.
Topics include linear equations, 3D models, quadratic equation, exponential functions, problem solving, real world application, linear functions, etc.
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Once you're comfortable, you can even make your own activities!
This 14-minute video lesson looks at 3 basic differential equations that can be solved by taking the antiderivatives of both sides.
Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses.
Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses.