Mathematics

Linear algebra is one of the most widely used branches of mathematics in the world! “It has applications in other areas of mathematics, physics, biology, chemistry, engineering, statistics, economics, finance, psychology, and sociology. The text chapters are filled with many different applications. Therefore, in this project you will be asked to do the following: 1. Select a topic and investigate it further in other texts and the internet. Summarize the problem. Problems should be based on some “model”. 2 2. Work out the problem; offer a solution and answers, as well as possible coding solutions in Matlab or a similar software tool. A primary objective of this project is to demonstrate knowledge of the topic and the use of some software tool to assist in the solution of the problem. 3. Write (or type) the results in a paper (at least 4-5 pages but 8-10 pages expected on average) to be submitted by the end of class. The paper should have at least these sections: I. Introduction (Overview and statement of the problem) II. Background (Mathematical and application details) III. Solution of basic (application) problem IV. Generalization and “computer” solution (Matlab, etc.) V. Conclusion and summary of methods and results VI. References

Read Chapters 8 and 9 in the e-textbook using ALEKS so that you can answer the discussion board question.  Continue working on your ALEKS topics.  You should have mastered at least 110 topics by the end of this week (either from your Initial Knowledge Check or by doing the problems.) Post your initial response to the Week 3 discussion board (by Wednesday) – see instructions on Blackboard

Focus mo+D785:D853re on the mathematical aspect of the development of computers rather than the mechanical.

Explain what does an overall mean of 3.93 means on a Likert scale.

identify your own example of improper sampling from your day-to-day life. Be sure to provide the sampling method used, why the sampling method is improper, what type of sampling should have been used, and why.

Guide to Final Report Writing Executive Summary (one page of brief description of the study and conclusion)  I. Introduction (Objectives) • What is the research question? • Why is the research question? • What is the type of study?  (observational or experimental) • What is the population of interest? • State the general research hypothesis II. Methods • Describe data collection procedures and sampling methods • Describe statistical methods used for the analysis, also include the statistical software used for the analysis • Discuss limitations of data collection procedure III. Results Descriptive Statistics • Numeric Summary o Discrete variables: frequency, percent, contingency tables, etc. o Continuous variables: mean, SD, Q1, Q3, etc. • Visual Summary o Bar Chart, Histogram, Side by Side Box Plots, Scatter Plots, Probability Plots, etc. (Must properly label each table and figure.) Inferential Statistics • Hypothesis Testing o State general research hypothesis o Report p-value of the test  • Confidence Interval Estimation • Verification of the assumptions behind the statistical inference procedures • Interpret results • Attach tables and/or graphs make reference to them in the report when necessary IV. Conclusions • Summarize Results • Discuss limitations of study • Discuss possible further research V. Reference: List of references cited in your paper VI. Appendix: Show the null hypothesis, alternative hypothesis, test statistic value and p-value for the test used in the analysis results section. You may copy and paste the output from the statistical software that you used for the analysis in this section. It is usually not reported in the professional report or article. You are doing it to show the instructor additional information from your analysis.

Here are six math problems for Complex Variables. This is easy for you if you’re a master of Complex Variables. The price is negotiable. I put the problems and the book you need in the file.

Guide to Final Report Writing Executive Summary (one page of brief description of the study and conclusion)  I. Introduction (Objectives) • What is the research question? • Why is the research question? • What is the type of study?  (observational or experimental) • What is the population of interest? • State the general research hypothesis II. Methods • Describe data collection procedures and sampling methods • Describe statistical methods used for the analysis, also include the statistical software used for the analysis • Discuss limitations of data collection procedure III. Results Descriptive Statistics • Numeric Summary o Discrete variables: frequency, percent, contingency tables, etc. o Continuous variables: mean, SD, Q1, Q3, etc. • Visual Summary o Bar Chart, Histogram, Side by Side Box Plots, Scatter Plots, Probability Plots, etc. (Must properly label each table and figure.) Inferential Statistics • Hypothesis Testing o State general research hypothesis o Report p-value of the test  • Confidence Interval Estimation • Verification of the assumptions behind the statistical inference procedures • Interpret results • Attach tables and/or graphs make reference to them in the report when necessary IV. Conclusions • Summarize Results • Discuss limitations of study • Discuss possible further research V. Reference: List of references cited in your paper VI. Appendix: Show the null hypothesis, alternative hypothesis, test statistic value and p-value for the test used in the analysis results section. You may copy and paste the output from the statistical software that you used for the analysis in this section. It is usually not reported in the professional report or article. You are doing it to show the instructor additional information from your analysis.

Instructions: ? You are expected to provide answers for every question. You are encouraged to show all of your work so that marks can be awarded for partially correct answers. ? Although you are encouraged to collaborate with your classmates, each of you is expected to submit a separate and distinct assignment. ? Use SVP (T) = 6.112 e [17.62 T / (243.12 + T)] where T is the environmental or dew-point temperature in oC; SVP is in hPa. Note that there is a SVP-from-T calculator available via Moodle. ? Use T (SVP) = (243.12/17.62) * { 17.62 * ln [ SVP(T) / 6.112 ] } / { 17.62 – ln [ SVP(T) / 6.112 ] } to retrieve the T ( oC) from the SVP

NO SOURCES OR STYLE OF WRITING REQUIRED !! Answer the questions above : (1) Can you describe a situation or a data set for which one would one would prefer to use the median rather than the mean? (2) Can you think of a situation for which the mean would be preferred to the median and the mode? (3) Have you ever seen the median used in the real world (in the media. . . )? If so, what was the context. . .Why do we not always use the median? (4) As the Presidential Election approaches, statisticians will play an active role helping candidates plot strategies by polling potential voters. When might the pollsters use the mean, median, or mode in this context?? Think of a study that might result in the collection of data that is: (a) A graph skewed to the left. (b) bimodal (c) uniform