Advanced Engineering Mathematics notes

Cheatsheet of these topics 1.1 Definition and Terminology 1.2 Initial Value Problems 2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations, integrating factors 2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution) 1.3 Differential equations as Mathematical models 2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, ...

2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations

An in-depth and concise summary of engineering mathematics procedures. Covers concepts such as integration techniques, complex numbers, limits, hyperbolic trigonometry, inverse trigonometry, linear systems, matrices, and partial fractions, among others

2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution)

5.1.2 Power series solutions

3.1 Theory of linear equations 3.3 Homogeneous linear equations with constant coefficients 3.4 Undetermined coefficients 3.5 variation of parameters 3.6 Cauchy euler Equations

3.7 Nonlinear equations, reduction of order

3.5 variation of parameters 3.6 Cauchy euler Equations 3.7 Nonlinear equations, reduction of order

17.2 Powers and Roots

1.3 Differential equations as Mathematical models

An in-depth and concise summary of engineering mathematics procedures. Covers concepts such as integration techniques, complex numbers, limits, hyperbolic trigonometry, inverse trigonometry, linear systems, matrices, and partial fractions, among others

Cheatsheet of these topics 1.1 Definition and Terminology 1.2 Initial Value Problems 2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations, integrating factors 2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution) 1.3 Differential equations as Mathematical models 2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, ...

2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations

2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations, integrating factors 2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution)

2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, leaking tank)

5.1.2 Power series solutions 10.1 Theory of Linear systems 10.2 Homogeneous Linear systems 10.4 Non-homogeneous Linear systems

3.5 variation of parameters 3.6 Cauchy euler Equations 3.7 Nonlinear equations, reduction of order

3.1 Theory of linear equations 3.3 Homogeneous linear equations with constant coefficients 3.4 Undetermined coefficients

2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, leaking tank) 3.8 Linear models, initial value problems (mass-spring system, free systems, driven motion, LRC-circuits) 3.11 non-linear models (Telephone wires, rocket motion, pulled rope)