Engineering mathematics
https://en.wikipedia.org/wiki/Engineering_mathematics
Engineering mathematics is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry. Along with fields like engineering physics and engineering geology, both of which may belong in the wider category engineering science, engineering mathematics is an interdisciplinary subject motivated by engineers' needs both for practical, theoretical and other considerations outwith their specialization, and to deal with constraints to be effective in their work.
List of open-source software for mathematics
https://en.wikipedia.org/wiki/List_of_o ... athematics
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Calculus Made Easy
https://calculusmadeeasy.org/
https://www.gutenberg.org/ebooks/33283
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Books from Dr. Kenneth Kuttler
One Variable Advanced Calculus, Real and Abstract Analysis, Calculus of One and Many Variables,
Calculus of Real and Complex Variables, Elementary Linear Algebra, Engineering Math,
Linear Algebra And Analysis, Linear Algebra, Theory And Applications, Topics In Analysis
https://klkuttler.com/
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Books from Yousef Saad
Numerical methods for large eigenvalue problems, Iterative Methods for Sparse Linear Systems
https://www-users.cse.umn.edu/~saad/books.html
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Gilbert Strang lectures on Linear Algebra (MIT)
https://www.youtube.com/playlist?list=P ... 15CB9EF31D
https://github.com/mitmath/1806
MIT 18.06 Linear Algebra, Spring 2005
https://www.youtube.com/playlist?list=P ... 1010BC51F8
https://github.com/mitmath/1806
MIT 18.065 Matrix Methods In Data Analysis, Signal Processing, And Machine Learning
https://www.youtube.com/playlist?list=P ... kS2PivhN3k
https://github.com/mitmath/18065
MIT Calculus Online Textbook
https://ocw.mit.edu/courses/res-18-001- ... /textbook/
MIT Highlights Of Calculus
https://ocw.mit.edu/courses/res-18-005- ... ring-2010/
https://www.youtube.com/playlist?list=P ... EA64E2C318
MIT 18.01SC Single Variable Calculus
https://ocw.mit.edu/courses/18-01sc-sin ... fall-2010/
https://www.youtube.com/playlist?list=P ... 0ABFF029F1
MIT 18.02SC Multivariable Calculus
https://ocw.mit.edu/courses/18-02sc-mul ... fall-2010/
https://www.youtube.com/playlist?list=P ... F3CC669D01
MIT 2.087 Engineering Mathematics: Differential Equations And Linear Algebra
https://www.youtube.com/playlist?list=P ... fpAdi0Wkga
MIT Learn Differential Equations
https://www.youtube.com/playlist?list=P ... JmB0WtSZfG
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Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares
https://www.youtube.com/playlist?list=P ... ElIh2cPmN9
https://web.stanford.edu/~boyd/vmls/
https://web.stanford.edu/~boyd/vmls/vmls.pdf
https://web.stanford.edu/~boyd/vmls/vmls-slides.pdf
https://web.stanford.edu/~boyd/vmls/vml ... panion.pdf
https://web.stanford.edu/~boyd/vmls/vml ... rcises.pdf
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Harvard Applied Math 205
https://www.youtube.com/playlist?list=P ... wFKeQ9952K
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Oxford Mathematics Student Lectures - Linear Algebra
https://www.youtube.com/playlist?list=P ... d7LEDz8zby
Oxford Mathematics Student Lectures - Calculus
https://www.youtube.com/playlist?list=P ... kaArdAIiVU
Oxford Mathematics Student Lectures - Differential Equations
https://www.youtube.com/playlist?list=P ... MJllVyj1l3
Oxford Mathematics Student Lectures - The Heat Equation
https://www.youtube.com/playlist?list=P ... 70V2lHjkH9
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Linear Algebra Done Right
https://www.youtube.com/playlist?list=P ... FV0wEir2Vw
https://linear.axler.net/LADRvideos.html
https://linear.axler.net/
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Numerical Linear Algebra
https://www.youtube.com/playlist?list=P ... -SZ6aIZNvt
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Matrices
https://www.youtube.com/playlist?list=P ... L6MplIK9RZ
Applications of Calculus to Mechanics
https://www.youtube.com/playlist?list=P ... tT3_c1NQu0
Introduction to Differentiation
https://www.youtube.com/playlist?list=P ... RZmXMi1mE8
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Partial Differential Equations
https://www.youtube.com/playlist?list=P ... EFG9apjtA9
Applied Functional Analysis
https://www.youtube.com/playlist?list=P ... r_9QkSZS66
https://www.math.ualberta.ca/~thillen/F ... ne2023.pdf
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Direct Methods for Sparse Linear Systems
https://www.youtube.com/playlist?list=P ... Iw6e1-bBXB
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Differential equations and calculus from scratch
https://www.youtube.com/watch?v=asiFbvRKgRk
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Essence of linear algebra
https://www.youtube.com/playlist?list=P ... itgF8hE_ab
Essence of calculus
https://www.youtube.com/playlist?list=P ... VRMYO3t5Yr
Multivariable calculus
https://www.youtube.com/playlist?list=P ... wbRTx56nF7
Differential equations
https://www.youtube.com/playlist?list=P ... uKtYTftqH6
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Computational Mathematics
https://www.youtube.com/playlist?list=P ... lORVJQASGK
Multivariable Calculus
https://www.youtube.com/playlist?list=P ... zQPR31Hajs
Ordinary Differential Equations
https://www.youtube.com/playlist?list=P ... WrY4kEmIuS
Partial Differential Equations
https://www.youtube.com/playlist?list=P ... 60B55B0203
Fourier Analysis
https://www.youtube.com/playlist?list=P ... A2B43110DF
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Analytic Geometry and Calculus II
https://www.youtube.com/playlist?list=P ... 9pnNHHwH5U
Ordinary Differential Equations
https://www.youtube.com/playlist?list=P ... gRvZrPTeom
Math Modelling
https://www.youtube.com/playlist?list=P ... MFYxnrefLk
Dynamical Systems
https://www.youtube.com/playlist?list=P ... tSAG77u4T9
Extra Credit for Dynamical Systems
https://www.youtube.com/playlist?list=P ... kbMr4f1K4K
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Data Driven Science & Engineering - Machine Learning, Dynamical Systems, and Control
https://www.youtube.com/watch?v=oEXR9EnAtm4
https://faculty.washington.edu/sbrunton/DataBookV2.pdf
http://databookuw.com/databook.pdf
https://github.com/dynamicslab/
http://databookuw.com/
Engineering Mathematics (UW ME564 and ME565)
https://www.youtube.com/playlist?list=P ... xcASrUt_9j
Dynamical Systems (with Machine Learning)
https://www.youtube.com/playlist?list=P ... HLkuYVjhyt
Singular Value Decomposition [Data-Driven Science and Engineering]
https://www.youtube.com/playlist?list=P ... 2nXildDCcv
Fourier Analysis [Data-Driven Science and Engineering]
https://www.youtube.com/playlist?list=P ... j0Oxo8GqsC
Sparsity and Compression [Data-Driven Science and Engineering]
https://www.youtube.com/playlist?list=P ... XLQyHXxRty
Data Driven Fluid Dynamics
https://www.youtube.com/playlist?list=P ... ssvUDFHL4M
Engineering Math: Vector Calculus and Partial Differential Equations
https://www.youtube.com/playlist?list=P ... krLOq5Ro6S
Engineering Math: Differential Equations and Dynamical Systems
https://www.youtube.com/playlist?list=P ... jgULnAmvPA
Engineering Math: Crash Course in Complex Analysis
https://www.youtube.com/playlist?list=P ... nES981R8Cg
Reinforcement Learning
https://www.youtube.com/playlist?list=P ... xGY4gE9k74
Physics Informed Machine Learning
https://www.youtube.com/playlist?list=P ... 4xMo6NSbBa
Introduction to Data Intensive Engineering
https://www.youtube.com/playlist?list=P ... AIV_d7vf-8
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Mathematics for Machine Learning
https://mml-book.github.io/book/mml-book.pdf
https://mml-book.com/
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Nonlinear Dynamics and Chaos
https://www.youtube.com/playlist?list=P ... smROzPnO9V
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Applied Numerical Algorithms
https://www.youtube.com/playlist?list=P ... r9YDqpK3Lb
https://people.csail.mit.edu/jsolomon/s ... l_book.pdf
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MIT 2.003SC Engineering Dynamics, Fall 2011
https://www.youtube.com/playlist?list=P ... EMW_YArxYC
MIT 8.01SC Classical Mechanics, Fall 2016
https://www.youtube.com/playlist?list=P ... -xxxEFzMNV
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Modern Physics: Classical Mechanics
https://www.youtube.com/playlist?list=P ... CE90CB6D81
Classical Mechanics (Fall 2011)
https://www.youtube.com/playlist?list=P ... D36D4CF129
Linear Dynamical Systems
https://www.youtube.com/playlist?list=P ... A52D0DB32B
The Fourier Transforms and Its Applications
https://www.youtube.com/playlist?list=P ... 956EE040CD
Convex Optimization
https://www.youtube.com/playlist?list=P ... 956CDF0622
https://web.stanford.edu/~boyd/cvxbook/
https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf
https://www.di.ens.fr/~aspremon/OptConvexeM2.html
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The University of Akron - ME 203: Dynamics
https://www.youtube.com/playlist?list=P ... notZJ4JlRB
The University of Akron - ME 321: Kinematics of Machines
https://www.youtube.com/playlist?list=P ... gpI8kceV-z
The University of Akron - ME 431: Fundamentals of Mechanical Vibrations
https://www.youtube.com/playlist?list=P ... QSoJD5YGwp
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Learn Fluid Mechanics series
https://www.youtube.com/playlist?list=P ... r3nKNRbAyZ
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Numerical Fluid Mechanics
https://www.ita.uni-heidelberg.de/~dull ... ml?lang=en
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Parallel Computing and Scientific Machine Learning
https://www.youtube.com/playlist?list=P ... NZk0kB8VSa
https://github.com/mitmath/18337
https://book.sciml.ai/
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Practical MDO using OpenMDAO
https://www.youtube.com/playlist?list=P ... SrjNeY4M4-
https://openmdao.github.io/PracticalMDO/intro.html
https://openmdao.org/newdocs/versions/latest/main.html
Learning Optimal Control with Dymos
https://www.youtube.com/watch?v=ho0bkIGf00o
https://openmdao.github.io/dymos/
Optimization
https://www.youtube.com/playlist?list=P ... 6QzDf6tHmq
https://mdobook.github.io/
Flight Vehicle Design
https://www.youtube.com/playlist?list=P ... jhNMFm2O-d
https://scholarsarchive.byu.edu/cgi/vie ... text=books
Aerodynamics
https://www.youtube.com/playlist?list=P ... GjK-XiEsUY
https://byu.box.com/shared/static/ywfay ... rqvurt.pdf
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Data-driven Physical Simulations (DDPS) Seminar Series
https://www.youtube.com/playlist?list=P ... ohQTqO6mmp
https://www.librom.net/ddps.html