096, Mathematics

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Hierarchical structures-how mathematical ideas grow, Hierarchical Structure...

Hierarchical Structures :  As the abstractions from concrete objects and materials become more and more general, they represent wider and wider ideas. If we put down each step of

BOUNDARY VALUE PROBLEM, Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0...

Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)

Definite integral, Definite Integral : Given a function f ( x ) which is c...

Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval se

Determine the area of the rectangle, Stuckeyburg is a very small town in ru...

Stuckeyburg is a very small town in rural America. Use the map to approximate the area of the town. a. 40 miles 2 b. 104 miles 2 c. 93.5 miles 2 d. 92 miles 2

Objectives of why learn mathematics, Objectives After studying this uni...

Objectives After studying this unit, you should be able to explain how mathematics is useful in our daily lives; explain the way mathematical concepts grow; iden

Elementary row operations to reduce the augmented matrix, Consider the syst...

Consider the system of linear equations X + ay = 1 2x + 8y = b Where a and b are real numbers. (a)  Write out the augmented matrix for this system of linear equations.

Permatuation and combination problem, How may six digit numbers can be made...

How may six digit numbers can be made in which the sum of the digits is even? Ans = 9*10*10*10*10*5

Power rule, Power rule: d(x n )/dx = nx n-1 There are really three ...

Power rule: d(x n )/dx = nx n-1 There are really three proofs which we can provide here and we are going to suffer all three here therefore you can notice all of them. T

Population problem - nonhomogeneous systems, The next kind of problem seems...

The next kind of problem seems as the population problem. Back in the first order modeling section we looked at several population problems. In such problems we noticed a single po

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