Analyze and evaluate knowledge within the major area. a. Demonstrate computational skills using elements of the real number system. b. Collect, organize and evaluate real number data. c. Demonstrate...

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Analyze and evaluate knowledge within the major area.
a. Demonstrate computational skills using elements of the real number system.
b. Collect, organize and evaluate real number data.
c. Demonstrate computational skills in numerical and non-numerical (word) problem solving.
Components of the second cognitive outcome for this course relate to computational skills and the real number system. These concepts may tend to be thought of as more frequently applying to lower level math courses, however, they really can relate to many different areas of mathematics. Provide specific examples of how you have met parts a, b and c of the second cognitive outcome in your upper level math courses.
****I have taken the classes of mathematics; algebra, calculus I II III, differential equations, abstract algebra, discrete mathematics, probability, statistics, geometry, history of mathematics, fundamental mathematics, proportional algebra, lineal algebra, matrix algebra, numerical analysis, numerical theory****



Answer the questions as a discussion around 150 to 200 words: Analyze and evaluate knowledge within the major area. a. Demonstrate computational skills using elements of the real number system. b. Collect, organize and evaluate real number data. c. Demonstrate computational skills in numerical and non-numerical (word) problem solving. Components of the second cognitive outcome for this course relate to computational skills and the real number system. These concepts may tend to be thought of as more frequently applying to lower level math courses, however, they really can relate to many different areas of mathematics. Provide specific examples of how you have met parts a, b and c of the second cognitive outcome in your upper level math courses. ****I have taken the classes of mathematics; algebra, calculus I II III, differential equations, abstract algebra, discrete mathematics, probability, statistics, geometry, history of mathematics, fundamental mathematics, proportional algebra, lineal algebra, matrix algebra, numerical analysis, numerical theory****
Answered Same DayDec 22, 2021

Answer To: Analyze and evaluate knowledge within the major area. a. Demonstrate computational skills using...

David answered on Dec 22 2021
113 Votes
Analyze and evaluate knowledge within the major area.
a. Demonstrate computational skills using el
ements of the real number system.
Solution: The first order differential equation is used in many ways in real world. Here, we will
take example of Newton’s empirical law used for cooling/ warming law. For example, when a
chicken is removed from an oven, its temperature is measured as 300
0
F. Three minutes later its
temperature is 200
o
F. Now we can calculate how long will it take for the chicken to cool off to a
room temperature of 70
o
F?
T(t) = Tm+c2e
t

Tm = 70 and T=300 at for t=0.
T(0)=300=70+c2e
.0
This gives c2=230
For t=3, T(3)=200
Now we put t=3, T(3)=200 and c2=230 in (4.1) then
200=70 + 230 e
.3
230
1303 e
Or
23
13
ln3 
Or 19018.0
23
13
ln
3
1

Thus T(t)=70+230 e
-0.19018t
(4.2)
We observe that (4.2) furnishes no finite solution to T(t)=70 since ...
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