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Internet is a great resource for many topics including Algebra, there are several links that present information, tutorials, animations and applications related to Algebra. Please do an Internet field trip and find one resource that relates to Algebra.
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Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
Calculate the mode
Let A = Z + Z + Z, let x_1 = (1,2,1) and x_2 = (1,5,1), and consider the subgroup B = (x_1, x_2) is a member of G. For the quotient group G = A/B, and write (x,y,z) is a member of G for the coset determined by n element (x,y,z) is a member of A.
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
To pass a course, you must have a final average of at least 60%. If a student scores 42 and 74 on the first two tests, what must be earned on the third test to pass the course?
Find the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation
Evaluate {double integral over region R} [F(dot)n dA] where F= x(ihat)+y(jhat)+(1-x^2-y^2)(khat) and n = 2x(i)+2y(j)+k and R is the disk x^2+y^2
what is the probability that each challenge will be won by a different camper? what is the Probability that Hank, one of the Seniors, will win at least one challenge?
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
The answer to Spanning sets, Determine spanning sets for each of the four fundamental subspaces associated with the matrix
The consumer price index for a new car in 1990 was 110.2, and in 1995 it was 136.5. If the price of the car was $12,880 in 1990, what was the price in 1995?
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