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.
Bibliography
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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.
EDWARDS Jr., C.H.; PENNEY D.E. Equações diferenciais elementares com problemas de contorno.
Prentice-Hall do Brasil. 1993
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NAGLE, R.K.; SAFF, E.B. Fundamentals of differential equations. Addison-Wesley. New York. 1996.
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