Mathematical Approaches to Security Analytics

Big data and data analytics are hot topics that are frequently in the media these days. Much of the application of these mathematical concepts is industry specific, and the information security industry is no exception. Math plays an important role in an array of methods and technologies. One of the earlier applications of math in computer technology involved calculating subnets and creating encryption algorithms. Today, there is a wide range of network devices that collect and store packet and usage data. As the number of available system logs has become available, network and security administrators have struggled to make sense of this data. As a result, there has also been an increase in analytical tools that allow log data to be integrated and analyzed to allow for the identification of threat trends not previously apparent to the human analyst.

• Identify how number theory plays a role in contributing to information security data analytics and encryption algorithms.

 

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MATHEMATICIANS AND STATS/PROB OR BINOMIAL EXPERIMENT EXAMPLE 

Unlocked: Thursday, December 13, 2018 11:19 AM EST – Thursday, March 28, 2019 11:59 PM EDT.Subscribe

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Do a little research to find a mathematician who made a significant contribution to statistics or probability.  Summarize his or her contribution in a short paragraph.  Please cite your source for full credit by including a link directly to the information. THIS MUST BE A LIVE, DIRECT LINK!!!!

Using the 4 properties for a binomial experiment, create a binomial experiment.  Your example MUST be different from any already given

 

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Mathematics 4377-6308

Examination I-Take Home Portion

This portion of the examination is to be submitted electronically through Blackboard. It is due on Thursday, March 7 th at 11:59 pm. You may use online computational tools or software programs to which you have access (in fact I strongly suggest that you do so.). Feel free to work collaboratively or even seek help from others.

1. Given the set of vectors:

1 −1

 

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Mathematics of FinancePart IV: You find that a small business loan in the amount of 50,000 is the amount you need to purchase the restaurant location. After researching banks to find the best interest rate, you find that banks for small businesses offer the best interest rate of 9% interest that compounds monthly for 7 years.What is the monthly payment for this loan?Show the formula that you used and the values used for each variable to calculate the monthly payment.What is the unpaid balance of the loan at the end of the 1st year?Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 1st year.What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.

 

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Maths Questions “Recursion and Financial Modelling”

1.The amount of money in a bank account after n years, Vn, can be modelled by the recurrence relation

                       V0 = 12 000,                 Vn+1 = 0.92Vn

The amount of money is

Select one:

a. growing at the rate of 8% per annum

b. decaying at the rate of 9.2% per annum

c. decaying at the rate of 8% per annum

d. neither growing nor decaying

e. growing at the rate of 9.2% per annum

2. A musician purchased a new grand piano for $17 990. After 8 years it will have an estimated value of $12 500. If the value of the piano is depreciated using a reducing-balance method, the annual rate of depreciation, is closest to

Select one:

a. 30.5%

b. 4.45%

c. 69%

d. 4.66%

e. 43.9%

3. Alistair borrows $4500 from a bank and will pay interest at the rate of 3.6% per annum, compounding monthly.

    A recurrence relation that models the value of Alistair’s loan after n months, Vn, is

Select one:

a. V0 = 4500,                    Vn+1 = 1.36Vn

b. V0 = 4500,                    Vn+1 = 1.003Vn

c. V0 = 4500,                    Vn+1 = 1.036Vn

d. V0 = 4500,                    Vn+1 = 1 + 3.6Vn

e. V0 = 4500,                    Vn+1 = (1 + 3.6)Vn

4. A sum of $3500 is invested in an account that pays 2.4% per annum simple interest.

A recurrence relation that models the value of the investment after n years, Vn, is

Select one:

a.V0 = 3500, Vn+1 = Vn + 24

b.V0 = 3500, Vn+1 = Vn – 84

c.V0 = 3500, Vn+1 = Vn + 84

d.V0 = 3500, Vn+1 = 2.4Vn

e.V0 = 3500, Vn+1 = Vn – 24

5. The graph below shows the depreciation in the value of a car over a period of 5 years. In the graph, Vn is the value of the car after n years. A rule for the value of the car after nyears is

Select one:

a.Vn = 35 000 – 5000n

b.Vn = 35 000n – 5000

c. Vn = 35 000 – n

d.Vn = 5000n – 35 000

e.Vn = 5000 – 35 000n

 

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