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Differential Equations for Engineers

Differential Equations for Engineers Lecture Notes for Jeffrey R. Chasnov The Hong Kong University of Science and Technology Department of Mathematics Clear Water Bay, Kowloon Hong Kong Copyright . c 2019 by Jeffrey Robert Chasnov This work is licensed under the Creative Commons Attribution Hong Kong License. To view a copy of this license, visit or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California, 94105, USA. Preface View the promotional video on YouTube These are my lecture notes for my online Coursera course, Differential Equations for Engineers .

equations 1. By checking all that apply, classify the following differential equation: d3y dx3 +y d2y dx2 = 0 a)first order b)second order c)third order d)ordinary e)partial f)linear g)nonlinear 2. By checking all that apply, classify the following differential equation: 1 x2 d dx x2 dy dx = e y a)first order b)second order c)ordinary d ...

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Differential Equations - Department of Mathematics, HKUST

www.math.hkust.edu.hk

used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c 2001). Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven

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Systems of Linear Equations - Hong Kong University of ...

www.math.hkust.edu.hk

Systems of Linear Equations Beifang Chen 1 Systems of linear equations Linear systems A linear equation in variables x1;x2;:::;xn is an equation of the form a1x1 +a2x2 +¢¢¢+anxn = b; where a1;a2;:::;an and b are constant real or complex numbers. The constant ai is called the coe–cient of xi; and b is called the constant term of the equation. A system of linear equations …

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Numerical Methods for Engineers - Hong Kong University of ...

www.math.hkust.edu.hk

44 Cubic spline interpolation (Part A)115 45 Cubic spline interpolation (Part B)117 46 Interpolation in Matlab 121 47 Project IV: Bessel functions and their zeros123 V Ordinary Differential Equations125 48 Euler method 129 49 Modified Euler method131 50 Runge-Kutta methods133 51 Second-order Runge-Kutta methods135 52 Higher-order Runge-Kutta ...

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5. Taylor and Laurent series Complex sequences and series

www.math.hkust.edu.hk

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Matrix Algebra for Engineers - Hong Kong University of ...

www.math.hkust.edu.hk

The mathematics in this matrix algebra course is at the level of an advanced high school student, but typically students would take this course after completing a university-level single variable calculus course. There are no derivatives and integrals in this course, but student’s are expected to …

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Vector Calculus for Engineers - Hong Kong University of ...

www.math.hkust.edu.hk

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www.math.hkust.edu.hk

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4. Complex integration: Cauchy integral theorem and …

www.math.hkust.edu.hk

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(2.1) Markowitz’s mean-variance formulation (2.2) Two …

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Numerical Methods - Hong Kong University of Science and ...

www.math.hkust.edu.hk

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