Mathematical analysis tutor

Job ID: 35650165

Budget: €30 – €250 EUR

My budget is 80USD for solving only 10 MCQs. I only want experts since the budget is high. These MCQs are from different areas of mathematics and requires more than one tutor, these are the topics:

Laplace transform

Differentiating functions of several variables
- Review on vectors and elements of topology of R^n.
- Functions of several variables, vector fields.
- Limits and continuity.
- Partial and directional derivatives, Jacobian matrix.
- Differentiability, gradient and tangent plane.
- Second derivatives, Hessian matrix.
- Taylor polynomial.
- Critical points, free extrema.

Integrating functions of several variables
- Double and triple integrals, center of mass.
- Length of a curve and area of a graph.
- Line and surface integrals (graphs only), circulation and flux of a vector field.
- Conservative vector fields.
- Green, Gauss and Stokes theorems.

Complex analysis and Series
- Function theory of complex variable: differentiability, Cauchy-Riemann equations.
- Complex line integrals, Cauchy integral formula.
- Definition and convergence criteria for numerical series.
- Power series (real and complex). Taylor series and Laurent series. Residue theorem
- Fourier series.