 # Engineering Mathematics

We have a series of free Engineering Mathematics Videos.
The topics are Chain rule, Partial Derivative, Taylor Polynomials, Critical points of functions, Lagrange multipliers, Vector Calculus, Line Integral, Double Integrals, Laplace Transform, Fourier series.

 Chain rule: partial derivative Chain rule: identity involving partial derivatives Chain rule & partial derivatives Partial derivatives and PDEs tutorial Partial derivatives and error estimation Taylor polynomials: functions of two variables Leibniz' rule: Integration via differentiation Evaluating challenging integrals via differentiation: Leibniz rule How to find critical points of functions Critical points + 2nd derivative test: Multivariable calculus How to find and classify critical points of functions Lagrange multipliers Extreme values of a function subject to a constraint Lagrange multiplier example: Minimizing a function subject to a constraint Multivariable Calculus: Directional derivative of \$f(x,y)\$ Lagrange multipliers example Vector Calculus Divergence of a vector field Curl of a vector field (ex. no.1 & 2)
 Path integral (scalar line integral) from vector calculus Line integral example in 3D-space Line integral from vector calculus over a closed curve Line integral from vector calculus over a closed curve Line integral example from Vector Calculus Double integral tutorial Double integrals in polar coordinates Double integrals and area Double integrals Volume between two surfaces Volume of a tetrahedron Reversing the order of integration Reversing order in double integrals Homogeneous first order ordinary differential equation Solution to a 2nd order, linear homogeneous ODE with repeated roots 2nd order ODE with constant coefficients: simple method of solution 2nd order ODE with constant coefficients: non-standard method of solution Intro to Laplace transform Laplace transform + differential equations First shifting theorem of Laplace transforms Laplace Transform: First Shifting Theorem Second shifting theorem of Laplace transforms Laplace Transform: Second Shifting Theorem Laplace Transform of tf(t) Intro to Fourier series and how to calculate them How to compute a Fourier series: an example Fourier series + differential equations

### Math Calculators and Tools

Chain Rule Calculator
This tool will help you to understand the differentiation process of a composite function. Use show steps to see possible differentiation steps.

Partial Derivative Calculator
This tool will help you to understand the possible partial derivative steps.

Double Integral Calculator
This tool allows you to calculate double integrals in f(x, y)

Laplace Transform Calculator
This tool allows you the calculate the Laplace Transform of the given function.

Fourier Series Calculator
This tool allows you to calculate the Fourier series of a function.

Calculus Calculator with step by step solutions
Functions, Operations on Functions,
Polynomial and Rational Functions,
Exponential and Logarithmic Functions,
Sequences and Series,
Evaluating Limits, Derivatives,
Applications of Differentiation,
Integrals, Applications of Integration,
Techniques of Integration,
Parametric Equations and Polar Coordinates

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 