



Last update: Pokorný Pavel RNDr. Ph.D. (01.08.2013)



Last update: Pokorný Pavel RNDr. Ph.D. (01.08.2013)
General skills: 1. basic mathematical terms 2. knowledge and understanding of basic algorithms 3. individual problem solving 4. basic mathematical background for formulation and solving of natural and engineering problems 5. numerical algorithms (systems of differential equations). 


Last update: TAJ413 (01.08.2013)
A: K. Rektorys: Survey of Applicable Mathemaics, Springer 2nd edition (March 31, 1994) 


Last update: TAJ413 (26.06.2013)
1. Linear space, base, dimension. The space C(I). Linear mapping. 2. Linear differential equations of nth order. 3. The system two linear and nonlinear differential equations of the first order. 4. PredatorPrey models: LotkaWolterra System. 5. Geometry in R^3 (R^n). Metrics in R^n. 6. Differential calculus in R^n. The functions of two and more variables. 7. Directional and partial derivatives. Tangent plane. Gradient. Newton’s method. 8. Taylor’s formula. The Hessian and extreme values. Method of least squares. 9. Implicit function theory. 10. Line integral of scalar and vector field. 11. Differential form, exact differential form, Potential vector field. 12. Line integrals independent of the path. 13. Double integrals. Fubini theorem. Substitution in double integral. Improper integrals. 14. Triple integrals. Applications. Cylindrical and spherical coordinates. 


Last update: Pokorný Pavel RNDr. Ph.D. (01.08.2013)
Mathematics I 