An edition of Engineering Mathematics: YouTube Workbook
(2013)
Engineering Mathematics: YouTube Workbook
by Christopher C. Tisdell
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"Free ebooks + free videos = better education" is the equation that describes this book's commitment to free and open education across the globe. Download the book and discover free video lessons on the Author's YouTube channel.
You can download the book for free via the link below.
Publish Date
2013
Publisher
Bookboon.com
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Subjects
Engineering, Natural ScienceShowing 6 featured editions. View all 6 editions?
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Book Details
Table of Contents
Sisältö
How to use this workbook
About the author
Acknowledgments
Partial derivatives & applications
Partial derivatives & partial differential equations
Partial derivatives & chain rule
Taylor polynomial approximations: two variables
Error estimation
Differentiate under integral signs: Leibniz rule
Some max/min problems for multivariable functions
How to determine & classify critical points
More on determining & classifying critical points
The method of Lagrange multipliers
Another example on Lagrange multipliers
More on Lagrange multipliers: 2 constraints
A glimpse at vector calculus
Vector functions of one variable
The gradient field of a function
The divergence of a vector field
The curl of a vector field
Introduction to line integrals
More on line integrals
Fundamental theorem of line integrals
Flux in the plane + line integrals
Double integrals and applications
How to integrate over rectangles
Double integrals over general regions
How to reverse the order of integration
How to determine area of 2D shapes
Double integrals in polar co-ordinates
More on integration & polar co-ordinates
Ordinary differential equations
Separable differential equations
Linear, first–order differential equations
Homogeneous, first–order ODEs
2nd–order linear ordinary differential equations
Nonhomogeneous differential equations
Variation of constants / parameters
Laplace transforms and applications
Introduction to the Laplace transform
Laplace transforms + the first shifting theorem
Laplace transforms + the 2nd shifting theorem
Laplace transforms + differential equations
Fourier series
Introduction to Fourier series
Odd + even functions + Fourier series
More on Fourier series
Applications of Fourier series to ODEs
PDEs & separation of variables
Deriving the heat equation
Heat equation & separation of variables
Heat equation & Fourier series
Wave equation and Fourier series
Bibliography
ID Numbers
Links outside Open Library
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| September 29, 2021 | Edited by Jenner | Merge works |
| September 29, 2021 | Edited by Jenner | merge authors |
| November 24, 2014 | Edited by Alice Kirk | Edited without comment. |
| November 24, 2014 | Created by Alice Kirk | Added new book. |