CBA783 Finding And Reading Information
Find information about differential equations and its importance in engineering. Present and discuss examples of applications of differential equations in engineering.
Use at least 3 sources from the following for finding your information:
Books, textbooks, newspapers, journals, e-books, websites, DVD.
- Demonstrate the use of various reading techniques to explore the question like skimming, scanning, reviewing and summarising.
You could produce a grid similar to the one shown below for each of the three sources required for this assignment.
The questions to which you were seeking answers
What did you Skim and how did you decide it was relevant or not?
For what were you Scanning and why?
Explain the purpose and effect of implied meaning in a variety written texts.
Answer:
Task 1
Source 1
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Source title with references |
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Stochastic differential equations and diffusion processes Ikeda, N. and Watanabe, S., 2014. Stochastic differential equations and diffusion processes (Vol. 24). Elsevier. |
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The questions to which you were seeking answers |
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The questions that is be answered by the paper is “what is a measurable space and measureable mapping? What is Borel Set?” |
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What did you Skim and how did you decide it was relevant or not? |
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The book was found on the internet and the books provides relevant mathematical discussion on the topic of concern. |
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For what were you Scanning and why? |
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The scanning was done for the terms relating to the topological field and the main answer lied in the discussions related to the topological field. |
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Itemise the key points in the source |
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The main points defined in the source were: · Basic notations and notations · Probability measures on a metric space · Continuous stochastic process |
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Summarise the section of the source relevant to your question/s |
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The section provides the discussions about the measureable space and a topological space. When the topological field is S the smallest filed in the space is the theta field. The topological theta field and an element in B set that belongs to the set is called the Borel set. |
Source 2
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Source title with references |
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Oscillation theory for functional differential equations Erbe, L., 2017. Oscillation theory for functional differential equations. Routledge. |
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The questions to which you were seeking answers |
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The questions that were required to be answered by the discussion were: · “What are the oscillating condition for all solutions; · What are the conditions for the existence of one no oscillatory solution; · What are the conditions of existence for one oscillatory solution; · What are the conditions for the nonexistence of oscillatory solutions; · Estimating the distance in between zeros of oscillatory solutions; · What are an asymptotic classification of no oscillatory solutions and what are the conditions for existence of solutions with designated asymptotic properties.” |
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What did you Skim and how did you decide it was relevant or not? |
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The Books on oscillation theory were looked upon in the internet and the books by Erbe, Konhg and Zang (2017), was found. |
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For what were you Scanning and why? |
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The scanning were done for the application of differential equation on oscillatory solutions. |
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Itemise the key points in the source |
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The key points in the source that is used for the discussion are: · First Order Delay Differential Equations Oscillations · Higher Order Neutral Differential Equations Oscillation · No Oscillation and oscillation of Second Order · First Order Neutral Differential Equations Oscillation · Deviating Arguments for Differential Equations |
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Summarise the section of the source relevant to your question/s |
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There are various models of the functional differential equations that are used for the used in this discussion. The oscillatory theory of functional differential equations have been used here in this paper for the discussion to address the questions that are defined above. |
Source 3
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Source title with references |
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Numerical methods for ordinary differential equations Butcher, J.C., 2016. Numerical methods for ordinary differential equations. John Wiley & Sons. |
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The questions to which you were seeking answers |
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The main question to be asked in the discussion is the application of the numerical method for the differential equations. |
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What did you Skim and how did you decide it was relevant or not? |
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The book has been selected after thorough searching in the numerical methods. |
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For what were you Scanning and why? |
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The numerical methods available for the differential equations have been scanned through. |
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Itemise the key points in the source |
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The key points in the sources are: · Initial value problems · Conservation of the Hamiltonian and angular momentum · Invariance under orthogonal transformations |
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Summarise the section of the source relevant to your question/s |
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There has been emphasis put in the numerical methods that would be helpful in the derivation of the first order functions and The algebraic equations have been subjected to very critical analysis and the problems have been measured by the use of indices. |
Task 2
Hint: It is an indication or small piece of advice in order to obtain the solution for the problems
Example: For example, the letters used in the passwords are provide the users as a hint and hence this provides them with an option.
Suggestion: This is a piece of advice used for the consideration of solutions to a the provide problems.
Example: There can be suggestions about the selection of a method for the solution of a problem but there can be not surety about the solution.
Connotation: Connotation is the idea that helps in invoking the persons in addition to the meaning of the word. It abstracts the definition of the terms and determines the principle of the concepts that applies to it.
Example:
Even is denoted as 2n where n is integer.
Even (if): make smooth or flat, or for showing extreme degree
Series: infinite sequence sum
Series: set of related television programs
Allusion: It is an expression that is used for calling the functions that can be used explicatively as a reference.
Example: Your backyard is a Garden of Eden is a Biblical allusion.
Inference: It is the result obtained from a discussion.
Example: The logical interferences are discussed in the mathematical terms.
Assumption: The assumptions are situations which are thought of hypothetically.
Example: The theorems use variable assumptions like x and assumes a value for x such as x = a + b.
Irony: Irony is the expression of a meaning that uses the languages for opposing the actual meaning in a humorous effect.
Example: An example of a person says something to a person but they do not actually mean it.
Sarcasm: It is an irony to use for mocking.
Example: Neither irony or sarcasm is argument.
Metaphor symbolic: It is a figure of speech that is used for the symbolising an event.
Example: Black is used to represent death or evil.
Numeric coding: The representation of number with the computer circuits register by means of electrical signal is called numeric coding.
References
Butcher, J.C., 2016. Numerical methods for ordinary differential equations. John Wiley & Sons.
Erbe, L., 2017. Oscillation theory for functional differential equations. Routledge.
Ikeda, N. and Watanabe, S., 2014. Stochastic differential equations and diffusion processes (Vol. 24). Elsevier.
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