Friday, February 8, 2013

applied math problems

Introduction:

Applied math is set of methods aimed for solution of problems in sciences, engineering, economics, or medicine. Applied math methods are proposed by Newton, Lagrange, Euler, and other giants. Modern applied math problems include control theory, aero-space engineering, mathematical physics, and math finance.Majority of applied problems need to make numerical model of occurrence, solve this model and develop recommendations for development of performance.

I like to share this solving systems of linear equations by addition with you all through my article.

Approaches to applied math problems


Math modeling

Basically we deal with large systems (thousands of variables, equations and inequalities). An intelligent model separates the main phenomenon from the noise and allows for analytic treatment of the problem, followed by extensive numerical development. Several models suggested for the same phenomena with various levels of details: No one needs a one-to-one geographical map.

Method of solutions

Selection of applied math problem requires selection of methods.Usually used methods in the practical math are workshop.These methods include linear algebra, differential, linear algebra and integral equations, approximation theory and asymptotic, variational principles, and numerics.

Improvement and recommendation

When people develop model of process, usually want to improve it.  Various theory methods are control theory, optimization, and game theory. Sometimes implement is achieved by varying parameters, but generally it is serious math problem discussed in class. Understanding Online Equation Solver is always challenging for me but thanks to all math help websites to help me out.


Applied Math Sample Problems:


Problem 1: Solve the equation

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Solution to Problem 1:

Given the equation

5(-3x - 2) - (x - 3) = -4(7x + 5) + 25

Multiply factors.

-15x - 10 - x + 3 = -28x - 20 +25

Group like terms

-16x - 7 = -28x +5

12x=12

x=1

Problem 2: Simplify the expression

2(a -3) + 4b - 2(a -b -3) + 5



Solution to Problem 2:

Given the algebraic expression

2(a -3) + 4b - 2(a -b -3) + 5

Multiply factors.

= 2a - 6 + 4b -2a + 2b + 6 + 5

Group like terms.

= 6b + 5

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