Mathematics

I will give you my math problems after you accept my assignment. Please write the process and answer any paper of all of the questions very clearly. You can use a handwrite or word whatever you like.

Complete all 5 questions, using proofs if indicated in the question. All working out documented – happy for it to be handwritten and scanned.

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

Have to write a research paper on a mathematical topic of our choosing. Must cite sources. Must have an analysis or explanation of at least one math equation.

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

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

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.

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.

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

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.