Credit hours
In-class work per week |
Practice per week |
Credits |
Duration |
Total |
2 |
2 |
8 |
15 weeks |
120 hours |
Instructor
Patricia Angélica Alves Marques
Objective
This course aims to provide the basis for solving mathematical problems applied to the Agricultural Engineering and Biosystems. It also aims to improve analysis techniques, developing models and solutions used in research projects.
Content
1 - REVIEW OF DERIVATIVES;
2 REVIEW Of INTEGRALS;
3 - VARIOUS FUNCTIONS VARIABLE: Two or more variables functions. Settings. Partial derivatives. Maximum and minimum functions of several variables. Lagrange multipliers and constrained optimization. total differential and its applications. The method of least-squares.
4 - Ordinary Differential Equations: Definitions, classification and solutions. First order differential equations: equations to separate variables, equations to separable variables, homogeneous equations, linear equations, exact differential equations, geometric and physical applications and other applications. Linear differential equations of second order; homogeneous linear differential equations of second order with constant coefficients, applications of linear differential equations of second order.
5 - DISTRIBUTIONS OF PROBABILITY. 6 - PROGRAMMING CONCEPTS APPLIED COMPUTING
Bibliography
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EDWARDS Jr., C.H.; PENNEY D.E. Equações diferenciais elementares com problemas de contorno. Prentice-Hall do Brasil. 1993
FERREIRA, R.S. Matemática aplicada às ciências agrárias. Análise de dados e modelos. Editora UFV. Viçosa. 1999.
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NAGLE, R.K.; SAFF, E.B. Fundamentals of differential equations. Addison-Wesley. New York. 1996.
SIMMONS, G.F. Cálculo com geometria analítica. Volumes 1 e 2. MacGraw-Hill.1988.
WEBER, J.E. Matemática para economia e administração. Harbra. São Paulo. 1986
ZILL, D.E.; CULLEN, M.R. Differential equations with boundary-value problems. Brooks-Cole. Pacific Grove. 1986.
CUNHA, C. Métodos Numéricos para as Engenharias e ciências aplicadas. UNICAMP, 1993, 265 p.
CURTIS, G.F.; WHEATLEY, P.O. Applied Numerical Analysis. California Polytechnic State University, 1999, 322p.
DENNIS G. ZILL, “Equações Diferenciais Com Aplicações em Modelagem”, Thomson, SP, 2003.