Applied Calculus for Computing
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Welcome to applied calculus for computing
Calculation intended to be a general method of solving quantifiable problems.
in the application of the calculation method, or as it is known the”infinitesimal” method, a problem is”divided into infinitesimal parts”(differentiation), analysed in its relations with the neighbouring parts and then”added”(integration) until the solution method.
the two parts of this the analysis and synthesis form a model for more sophisticated methods based on calculation, used in applied science concepts you learn in calculus allow statistical , physicists and engineers create mathematical models of real situations and real problems and simulate their resolutions under different operating conditions.
the calculation was invented by Leibnitz (1684), but the method of application of the results will have an impact from the publication of the book Newton”the Mathematical Principles of Natural Philosophy”in 1687.
This course intended as an introduction to this method, an entry for the first part of research and scientific research Differentiation are treated the following subjects:
• Basic Math: Numbers and simple functions, trigonometry, complex functions and analytic geometry;
• Functions Derivative including trigonometric , exponential and logarithmic;
• differentiation methods,
• differentiation rules: product rule, quotient rule, chain rule; Higher order derivatives at first;
• Applications of differentiation: Maximum and minimum method to solve equations,
• integral calculus: primitivation as inverse operator of differentiation, differential, integral forms of Riemann, definite integrals, standard forms,
• integration techniques: integration by parts, substitution, partial fractions, numerical integration elements,
• integration of applications: average value of a function, length calculation, area and volume