Engineering Mathematics: YouTube Workbook
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740305227
Table of contents: title: How to use this workbook; title: About the author; title: Acknowledgments; title: Partial derivatives & applications; title: Partial derivatives & partial differential equations; title: Partial derivatives & chain rule; title: Taylor polynomial approximations: two variables; title: Error estimation; title: Differentiate under integral signs: Leibniz rule; title: Some max/min problems for multivariable functions; title: How to determine & classify critical points; title: More on determining & classifying critical points; title: The method of Lagrange multipliers; title: Another example on Lagrange multipliers; title: More on Lagrange multipliers: 2 constraints; title: A glimpse at vector calculus; title: Vector functions of one variable; title: The gradient field of a function; title: The divergence of a vector field; title: The curl of a vector field; title: Introduction to line integrals; title: More on line integrals; title: Fundamental theorem of line integrals; title: Flux in the plane + line integrals; title: Double integrals and applications; title: How to integrate over rectangles; title: Double integrals over general regions; title: How to reverse the order of integration; title: How to determine area of 2D shapes; title: Double integrals in polar co-ordinates; title: More on integration & polar co-ordinates; title: Ordinary differential equations; title: Separable differential equations; title: Linear, first–order differential equations; title: Homogeneous, first–order ODEs; title: 2nd–order linear ordinary differential equations; title: Nonhomogeneous differential equations; title: Variation of constants / parameters; title: Laplace transforms and applications; title: Introduction to the Laplace transform; title: Laplace transforms + the first shifting theorem; title: Laplace transforms + the 2nd shifting theorem; title: Laplace transforms + differential equations; title: Fourier series; title: Introduction to Fourier series; title: Odd + even functions + Fourier series; title: More on Fourier series; title: Applications of Fourier series to ODEs; title: PDEs & separation of variables; title: Deriving the heat equation; title: Heat equation & separation of variables; title: Heat equation & Fourier series; title: Wave equation and Fourier series; title: Bibliography