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, ...

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

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

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

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

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

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)

3.11 non-linear models (Telephone wires, rocket motion, pulled rope)

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

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)

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

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

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