Utkast
Engineering Mathematics
Innehåll
1st order differential equations
- Solution of a 1st order differential equation with slope field.
- Solving a differential equation for an electrical circuit.
- The limiting value of a differential equation 02.
- The limiting value of a differential equation 01.
- Differential equation solution of a mass being projected upwards
- Solution of a differential equation by separating the vars
2nd order differential equations
Differential equations using Laplace
Euler's method
- Euler's method for f'(t, x) = x-2t, x(0) = 1
- Euler's method for f'(t, x)= xt, x(0) = 2
- Euler's method for f'(t, x)=x/(2sqrt(t + x)), x(0.5) = 1
- Euler's method for f'(t, x)=(4 - t)/(t + x)
- Euler's method for f'(t, x)=1/xt, x(1)=1
- Euler's method for f'(t, x)=xt/(x^2+2), x(1)=2
- Euler's method for f'(t, x)=1/lnx, x(1)=1.2
- Numerical solution of a third-order differential equation 01
- Numerical solution of a second-order differential equation
Fourier series
- Integrals of periodic functions
- Square wave using Fourier terms
- Sawtooth wave using Fourier terms
- Triangular wave using Fourier terms
- Fourier series for a periodic function 01
- Fourier series for a periodic function 02
- Fourier series for a periodic function 03
- Fourier series for a periodic function 04
- Fourier series problem
- Fourier series for a piecewise periodic function 01
- Fourier series for a piecewise periodic function 02
- Fourier series for a piecewise periodic function 03
- Fourier series for a piecewise periodic function 04
- Fourier series for a piecewise periodic function 05
- Fourier series for a piecewise function 01
- Fourier series for a piecewise function 02
- Fourier series for a piecewise function 03
- Fourier series for a piecewise function 04
- Fourier series for a piecewise function 05
- Fourier series for a piecewise function 06
- An even function
- An odd function
- Fourier half-range series
- Significance of the constant term in Fourier series
- How to change the period of a sine graph
- How to change the period of a cosine graph
- Fourier series with an arbitrary period of 2
- Fourier series with an arbitrary period of 4
- Fourier half-range cosine or sine series
Multivariable calculus
- The domain of the graph for a surface.
- Sketching contour curves of a function of two variables 01.
- Sketching contour curves of a function of two variables 02.
- The geometrical meaning of partial derivatives.
- Finding stationary points of surfaces 01
- Finding stationary points of surfaces 02.
- Tangent planes and normals to a point introduction.
- The tangent plane and normal line to a surface 01.
- The tangent plane and normal line to a surface 02.
- Cylindrical coordinates.
- Spherical coordinates
- Triple integral to determine volume
- Using a triple integral to determine volume
Linear Algebra