Human Computer Interaction You are to choose 2 websites, with different purposes, and review the websites based on the criteria listed below. 1. Starting Point a. Composition Matches Site Purpose b. Target Audience Apparent c. Composition Appropriate for Target Audience 2. Site design a. Consistency within site b. Consistency among pages 3. Visually Pleasing Composition 4. Visual Style in Web Design a. Consistency b. Distinctiveness 5. Focus and Emphasis a. What is emphasized? b. How is emphasis achieved? 6. Consistency a. Real World b. Internal 7. Navigation and Flow a. Home page identifiable throughout b. Location within site apparent c. Navigation consistent; rule-based; appropriate 8. Grouping a. Grouping with White Space b. Grouping with Borders c. Grouping with Backgrounds 9. Response time 10. Links a. Titled b. Incoming c. Outgoing d. Color 11. Detailed content a. Meaningful headings b. Plain language c. Page chunking d. Long blocks of text e. Scrolling f. Use of “within” page links 12. Articles a. Clear headings b. Plain language 13. Presenting Information Simply and Meaningfully a. Legibility b. Readability c. Information in Usable Form d. Visual Lines Clear 14. Legibility of content a. Font color b. Font size c. Font style d. Background color e. Background graphic 15. Documentation a. Included b. Searchable c. Links to difficult concepts/words 16. Multimedia a. Animation/Audio/Video/Still images b. Load time given c. Add-in required d. Quality e. Appropriateness of use 17. Scrolling and Paging a. Usage b. Appropriate? 18. Amount of Information Presented Appropriate 19. Other factors to note?

Human Computer Interaction You are to choose 2 websites, with different purposes, and review the websites based on the criteria listed below. 1. Starting Point a. Composition Matches Site Purpose b. Target Audience Apparent c. Composition Appropriate for Target Audience 2. Site design a. Consistency within site b. Consistency among pages 3. Visually Pleasing Composition 4. Visual Style in Web Design a. Consistency b. Distinctiveness 5. Focus and Emphasis a. What is emphasized? b. How is emphasis achieved? 6. Consistency a. Real World b. Internal 7. Navigation and Flow a. Home page identifiable throughout b. Location within site apparent c. Navigation consistent; rule-based; appropriate 8. Grouping a. Grouping with White Space b. Grouping with Borders c. Grouping with Backgrounds 9. Response time 10. Links a. Titled b. Incoming c. Outgoing d. Color 11. Detailed content a. Meaningful headings b. Plain language c. Page chunking d. Long blocks of text e. Scrolling f. Use of “within” page links 12. Articles a. Clear headings b. Plain language 13. Presenting Information Simply and Meaningfully a. Legibility b. Readability c. Information in Usable Form d. Visual Lines Clear 14. Legibility of content a. Font color b. Font size c. Font style d. Background color e. Background graphic 15. Documentation a. Included b. Searchable c. Links to difficult concepts/words 16. Multimedia a. Animation/Audio/Video/Still images b. Load time given c. Add-in required d. Quality e. Appropriateness of use 17. Scrolling and Paging a. Usage b. Appropriate? 18. Amount of Information Presented Appropriate 19. Other factors to note?

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Author Name: BIO 218 Natural History Paper General Formatting: (10%) • 1 Margins correct? • 1 Font correct? • 2 Double-spaced? • 2 Pages numbered? • 2 All sections included? • 2 At least 3 pages of text, not more than 5 pages? Project elements (50%) • Introduction: o 8 General background on topic and species (state scientific name!)? o 2 Goes from general to specific? • Review of Journal Articles: o 4 States topic and hypothesis/hypotheses described in articles? o 3 Reports how research was conducted? o 2 Describes specialized materials used? o 2 Discusses type(s) of data collected and how to be analyzed/compared/used? o 3 Reports what happened in the experiments? o 2 If comparisons made, discusses how they were made? o 2 Figure(s) reproduced and cited? o 2 Table(s) reproduced and cited? • Summary/Conclusion: o 10 Synthesizes the results of the experiments and ties the findings of the articles together? • Literature Cited: o 4 At least 3 journal articles (primary literature) used? o 2 References used in paper properly? o 2 References all listed in this section and formatted correctly? o 2 All references listed are in the body of the paper and all references in the body are listed in this section? *0.5% for each extra citation (>3) that is correctly used* Writing Elements (40%) • /15 Grammar or spelling errors? • /15 Writing is clear and flows logically throughout paper? • /10 Appropriate content in each section? Final Paper Total ( %) = /40 Comments:

Author Name: BIO 218 Natural History Paper General Formatting: (10%) • 1 Margins correct? • 1 Font correct? • 2 Double-spaced? • 2 Pages numbered? • 2 All sections included? • 2 At least 3 pages of text, not more than 5 pages? Project elements (50%) • Introduction: o 8 General background on topic and species (state scientific name!)? o 2 Goes from general to specific? • Review of Journal Articles: o 4 States topic and hypothesis/hypotheses described in articles? o 3 Reports how research was conducted? o 2 Describes specialized materials used? o 2 Discusses type(s) of data collected and how to be analyzed/compared/used? o 3 Reports what happened in the experiments? o 2 If comparisons made, discusses how they were made? o 2 Figure(s) reproduced and cited? o 2 Table(s) reproduced and cited? • Summary/Conclusion: o 10 Synthesizes the results of the experiments and ties the findings of the articles together? • Literature Cited: o 4 At least 3 journal articles (primary literature) used? o 2 References used in paper properly? o 2 References all listed in this section and formatted correctly? o 2 All references listed are in the body of the paper and all references in the body are listed in this section? *0.5% for each extra citation (>3) that is correctly used* Writing Elements (40%) • /15 Grammar or spelling errors? • /15 Writing is clear and flows logically throughout paper? • /10 Appropriate content in each section? Final Paper Total ( %) = /40 Comments:

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argumentative research paper, about (death penalty) and it should have at least 6/7 quotes citation Use MLA format please observe the following guidelines: 1) As always, TIMES NEW ROMAN, 12 PT. FONT. Sorry for the all caps, but this is of the utmost importance. 2) Double spaced 5-6 pages (remember to click the little square when setting your spacing that says “don’t add a space after paragraphs of the same style. 3) No contractions (don’t, won’t, shouldn’t, etc.). 4) No 1st (I, me, my, mine, etc.) or 2nd (we, us, our, you, your, etc.) person pronouns. Keep it objective. Remember, replace yourself as the subject with your position: Instead of “I think abortion is wrong” use “Abortion is wrong because….”

argumentative research paper, about (death penalty) and it should have at least 6/7 quotes citation Use MLA format please observe the following guidelines: 1) As always, TIMES NEW ROMAN, 12 PT. FONT. Sorry for the all caps, but this is of the utmost importance. 2) Double spaced 5-6 pages (remember to click the little square when setting your spacing that says “don’t add a space after paragraphs of the same style. 3) No contractions (don’t, won’t, shouldn’t, etc.). 4) No 1st (I, me, my, mine, etc.) or 2nd (we, us, our, you, your, etc.) person pronouns. Keep it objective. Remember, replace yourself as the subject with your position: Instead of “I think abortion is wrong” use “Abortion is wrong because….”

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Consciously and sub-consciously we have “boxed” leadership in the same way. Looking back we interpret events and interactions, sort out the relevant and important, and apply meaning to the events. This assignment we will use Steve Jobs as our point of focus and our source for leadership events– our retrospective examination of his life as a leader. Assess Jobs as a leader from each perspective: 1. Traits (why traits failed) 2. Style (why style was underutilized) 3. Skills (skills that should have been used) Explain how Jobs’ leadership is explained through the lens of each: 1. Path-Goal 2. LMX 3. Transactional 4. Transformational 5. Charismatic 6. Authentic Non-traditional: 1. Follower (was Jobs a follower, how were followers a part of Jobs’ leadership?) 2. Conclusion (final heading – best represents Jobs and why others were ruled out) • APA format (margins, font, spacing) • APA in-text citations when needed • APA reference page • Proofread for grammar and content • Ensure that all headings and questions are addressed See agenda for headings Remember, this is a detailed analysis. Each of the above (a-j) should be a heading and explain how Jobs, as a leader, represents (or does not represent) the corresponding school of thought. Provide supplemental sources to give your position more credibility, but keep in mind that this is not a biography of Jobs (there are many recent biographies that do not qualify as acceptable sources for this assignment). Finally, which leadership perspective best identifies Steve Jobs as a leader? Explain why, and explain why other options were ruled out (k).

Consciously and sub-consciously we have “boxed” leadership in the same way. Looking back we interpret events and interactions, sort out the relevant and important, and apply meaning to the events. This assignment we will use Steve Jobs as our point of focus and our source for leadership events– our retrospective examination of his life as a leader. Assess Jobs as a leader from each perspective: 1. Traits (why traits failed) 2. Style (why style was underutilized) 3. Skills (skills that should have been used) Explain how Jobs’ leadership is explained through the lens of each: 1. Path-Goal 2. LMX 3. Transactional 4. Transformational 5. Charismatic 6. Authentic Non-traditional: 1. Follower (was Jobs a follower, how were followers a part of Jobs’ leadership?) 2. Conclusion (final heading – best represents Jobs and why others were ruled out) • APA format (margins, font, spacing) • APA in-text citations when needed • APA reference page • Proofread for grammar and content • Ensure that all headings and questions are addressed See agenda for headings Remember, this is a detailed analysis. Each of the above (a-j) should be a heading and explain how Jobs, as a leader, represents (or does not represent) the corresponding school of thought. Provide supplemental sources to give your position more credibility, but keep in mind that this is not a biography of Jobs (there are many recent biographies that do not qualify as acceptable sources for this assignment). Finally, which leadership perspective best identifies Steve Jobs as a leader? Explain why, and explain why other options were ruled out (k).

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3-4 pages typed, double spaced, 12 pt. font, and proper spelling/grammar. Plagiarism will immediately be reported and result in an E grade for the course. Hard copy to be turned in on the last day of class. Describe how Gastrodiplomacy might help countries like Thailand, Korea, India, China, the U.S. and others strategically help trade, foreign relations, and human rights advance globally. Explain how you are participating in Gastrodiplomacy through weekly food selection. Examples could include but aren’t limited to – types of foods you purchase and eat, restaurants you patronize, cookbooks you purchase, food blogs you subscribe to, and ingredients you select. Thoroughly describe at least 3 ways you participate in Gastrodiplomacy. Describe how this class (lecture or lab) has increased your understanding of at least 3 specific aspects of food culture. Describe the importance and significance of these things within their specific region or within your own day to day life. Explain how NUTR 3620 has increased your understanding of global issues as well as your understanding of individuals within those cultures.

3-4 pages typed, double spaced, 12 pt. font, and proper spelling/grammar. Plagiarism will immediately be reported and result in an E grade for the course. Hard copy to be turned in on the last day of class. Describe how Gastrodiplomacy might help countries like Thailand, Korea, India, China, the U.S. and others strategically help trade, foreign relations, and human rights advance globally. Explain how you are participating in Gastrodiplomacy through weekly food selection. Examples could include but aren’t limited to – types of foods you purchase and eat, restaurants you patronize, cookbooks you purchase, food blogs you subscribe to, and ingredients you select. Thoroughly describe at least 3 ways you participate in Gastrodiplomacy. Describe how this class (lecture or lab) has increased your understanding of at least 3 specific aspects of food culture. Describe the importance and significance of these things within their specific region or within your own day to day life. Explain how NUTR 3620 has increased your understanding of global issues as well as your understanding of individuals within those cultures.

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AUCS 340: Ethics in the Profession Written Video Presentation Response Paper As a component of this course you will have the opportunity to view the movie “My Sister’s Keeper” (2009) starring Cameron Diaz, Jason Patric and Abigail Breslin. This movie is an adaptation of the book of the same title written by Jodi Picoult. Your answers are to be based on the movie adaptation of the book. While this movie offers a profound family story it also reflects upon issues related to current technological advancements in medicine and it will also offer you the opportunity to identify and respond to some of ethical issues represented in the movie. After viewing this movie, respond to the following questions. Your answers should be insightful and reflective of the topics researched for class, in regards to the ethical treatment to be afforded all citizens. 1. Identify at least two ethical issues/situations portrayed in the movie. These issues must be separate from the issue of stem cell research which will be addressed in questions later in this assignment. 2. Discuss a solution or solutions to each of the ethical issues that you identified in question number one. If multiple solutions are offered, identify your solutions as to first preference, second preference and so on until concluded. 3. Are your solutions feasible? What cost would it take to implement your solutions: taxes, wholesale system changes, society as a whole? 4. This movie incorporates the topic of stem cell usage for the treatment of medical conditions. Discuss the difference between the acquisition of fetal stem cells and adult stem cells. List ethical arguments both for and against the concept of expanding stem cell research to have a more active role in the development of treatment options for patients. 5. List at least five medical conditions that have the potential to be treated with stem cells. 6. Discuss the attitude of former President George W. Bush and current President Barack Obama in their philosophical approach to the issue of stem cell research. (Do they accept or reject the idea of stem cell research? Is there legislation that supports their views?) 7. From your previous assignment on the administration of healthcare in the United States you should have a general view of some of the problems facing the distribution of healthcare services in the United States. Research the changes to the health care system as proposed by President Barack Obama, and passed into legislation as the Patient Protection and Affordable Care Act, and outline/list these changes for healthcare reform in the United States. What are the financial implications of this plan? What portions of this plan do you find feasible to solving the problem of inadequate healthcare coverage for all Americans? What portions of this plan do you find unacceptable? 8. Overall, do you feel that these proposed changes will benefit or cause harm to the distribution of healthcare in the United States? Explain the rationale behind your answer. 9. Discuss problems in implication of the Affordable Care Act (ACA) that have occurred since October 2013. Have theses issues been resolved? 10. To date, how many people have been enrolled in the Affordable Care Act? Is this number above expectations, below expectations or at the level of expectation for enrollment at this point in time? 11. How will future enrollment in Medicaid be affected by the passage of the Affordable Care Act? This assignment is due on the date posted in the syllabus. Grading: Content of responses: thought provoking, rationale defended = 70% of grade Correct use of sentence structure, grammar and spelling, stapled for presentation = 20% of grade Appropriate use of citations and references = 10% of grade (No www.Wikipedia.com) It is expected that the length of the computer generated responses to these questions will be presented in at least three – four pages of text. Use 12 font and double spacing for your responses. Format: you may either respond to the questions as a running essay or use the questions as a header for each individual answer.

AUCS 340: Ethics in the Profession Written Video Presentation Response Paper As a component of this course you will have the opportunity to view the movie “My Sister’s Keeper” (2009) starring Cameron Diaz, Jason Patric and Abigail Breslin. This movie is an adaptation of the book of the same title written by Jodi Picoult. Your answers are to be based on the movie adaptation of the book. While this movie offers a profound family story it also reflects upon issues related to current technological advancements in medicine and it will also offer you the opportunity to identify and respond to some of ethical issues represented in the movie. After viewing this movie, respond to the following questions. Your answers should be insightful and reflective of the topics researched for class, in regards to the ethical treatment to be afforded all citizens. 1. Identify at least two ethical issues/situations portrayed in the movie. These issues must be separate from the issue of stem cell research which will be addressed in questions later in this assignment. 2. Discuss a solution or solutions to each of the ethical issues that you identified in question number one. If multiple solutions are offered, identify your solutions as to first preference, second preference and so on until concluded. 3. Are your solutions feasible? What cost would it take to implement your solutions: taxes, wholesale system changes, society as a whole? 4. This movie incorporates the topic of stem cell usage for the treatment of medical conditions. Discuss the difference between the acquisition of fetal stem cells and adult stem cells. List ethical arguments both for and against the concept of expanding stem cell research to have a more active role in the development of treatment options for patients. 5. List at least five medical conditions that have the potential to be treated with stem cells. 6. Discuss the attitude of former President George W. Bush and current President Barack Obama in their philosophical approach to the issue of stem cell research. (Do they accept or reject the idea of stem cell research? Is there legislation that supports their views?) 7. From your previous assignment on the administration of healthcare in the United States you should have a general view of some of the problems facing the distribution of healthcare services in the United States. Research the changes to the health care system as proposed by President Barack Obama, and passed into legislation as the Patient Protection and Affordable Care Act, and outline/list these changes for healthcare reform in the United States. What are the financial implications of this plan? What portions of this plan do you find feasible to solving the problem of inadequate healthcare coverage for all Americans? What portions of this plan do you find unacceptable? 8. Overall, do you feel that these proposed changes will benefit or cause harm to the distribution of healthcare in the United States? Explain the rationale behind your answer. 9. Discuss problems in implication of the Affordable Care Act (ACA) that have occurred since October 2013. Have theses issues been resolved? 10. To date, how many people have been enrolled in the Affordable Care Act? Is this number above expectations, below expectations or at the level of expectation for enrollment at this point in time? 11. How will future enrollment in Medicaid be affected by the passage of the Affordable Care Act? This assignment is due on the date posted in the syllabus. Grading: Content of responses: thought provoking, rationale defended = 70% of grade Correct use of sentence structure, grammar and spelling, stapled for presentation = 20% of grade Appropriate use of citations and references = 10% of grade (No www.Wikipedia.com) It is expected that the length of the computer generated responses to these questions will be presented in at least three – four pages of text. Use 12 font and double spacing for your responses. Format: you may either respond to the questions as a running essay or use the questions as a header for each individual answer.

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Project 1: Particle Trajectory in Pleated Filters Due: 12:30 pm, Dec. 1, 2015, submission through blackboard Course: Numerical Methods Instructor: Dr. Hooman V. Tafreshi Most aerosol filters are made of pleated fibrous media. This is to accommodate as much filtration media as possible in a limited space available to an air filtration unit (e.g., the engine of a car). A variety of parameters contribute to the performance of a pleated filter. These parameters include, but are not limited to, geometry of the pleat (e.g., pleat height, width, and count), microscale properties of the fibrous media (e.g., fiber diameters, fiber orientation, and solid volume fraction), aerodynamic and thermal conditions of the flow (e.g., flow velocity, temperature, and operating pressure), and particle properties (e.g., diameter, density, and shape). Figure 1: Examples of pleated air filters [1‐2]. In this project you are asked to calculate the trajectory of aerosol particles as they travel inside a rectangular pleat channel. Due to the symmetry of the pleat geometry, you only need to simulate one half of the channel (see Figure 2). Figure 2: The simulation domain and boundary conditions (the figure’s aspect ratio is altered for illustration purposes). Trajectory of the aerosol particles can be calculated in a 2‐D domain by solving the Newton’s 2nd law written for the particles in the x‐ and y‐directions, v(h) inlet velocity fibrous media v(y) y tm l h x Ui u(l) u(x) 2 2 p 1 p 1 ( , ) d x dx u x y dt  dt    2 2 p 1 p 1 ( , ) d y dy v x y dt  dt    where 2 1/18 p p   d    is the particle relaxation time, 10 μm p d  is the particle diameter, 1000 kg/m3 p   is the particle density, and   1.85105 Pa.s is the air viscosity. Also, u(x, y) and v(x, y) represent the components of the air velocity in the x and y directions inside the pleat channel, respectively. The x and y positions of the particles are denoted by xp and yp, respectively. You may use the following expressions for u(x, y) and v(x, y) .     2 3 1 2 u x, y u x y h                  sin 2 v x,y v h π y h        where   i 1 u x U x l h          is the average air velocity inside the pleat channel in the x‐direction and Ui is the velocity at the pleat entrance (assume 1 m/s for this project). l = 0.0275 m and h =0.0011 m are the pleat length and height, respectively. Writing the conservation of mass for the air flowing into the channel, you can also obtain that   i v h U h l h         . These 2nd order ODEs can easily be solved using a 4th order Rung‐Kutta method. In order to obtain realistic particle trajectories, you also need to consider proper initial conditions for the velocity of the particles: x(t  0)  0 , ( 0) i p p y t   y , p ( 0) cos i i dx t U dt    , p ( 0) sin i i dy t U dt     . where i  is the angle with respect to the axial direction by which a particle enters the pleat channel (see Figure 3). The inlet angle can be obtained from the following equation: 2 75 0.78 +0.16 1.61St i i p p i y y e h h                    where   2 St 18 2 ρPdPUi μ h  is the particles Stokes number. Figure 3: An illustration of the required particle trajectory calculation inside a rectangular pleated filter. You are asked to calculate and plot the trajectories of particles released from the vertical positions of ?? ? ? 0.05?, ?? ? ? 0.25?, ?? ? ? 0.5?, ?? ? ? 0.75? , and ?? ? ? 0.95? in one single figure. To do so, you need to track the trajectories until they reach one of the channel walls (i.e., stop when xp  l or p y  h ). Use a time step of 0.00001 sec. For more information see Ref. [3]. For additional background information see Ref. [4] and references there. In submitting your project please stick to following guidelines: 1‐ In blackboard, submit all the Matlab files and report in one single zip file. For naming your zip file, adhere to the format as: Lastname_firstname_project1.zip For instance: Einstein_albert_project1.zip 2‐ The report should be in pdf format only with the name as Project1.pdf (NO word documents .docx or .doc will be graded). 3‐ Your zip file can contain as many Matlab files as you want to submit. Also please submit the main code which TA’s should run with the name as: Project1.m (You can name the function files as you desire). Summary of what you should submit: 1‐ Runge–Kutta 4th order implementation in MATLAB. 2‐ Plot 5 particle trajectories in one graph. 3‐ Report your output (the x‐y positions of the five particles at each time step) in the form of a table with 11 columns (one for time and two for the x and y of each particle). Make sure the units are second for time and meter for the x and y. 4‐ Write a short, but yet clean and professional report describing your work. Up to 25% of your grade will be based solely on the style and formatting of your report. Use proper heading for each section of your report. Be consistent in your font size. Use Times New Roman only. Make sure that figures have proper self‐explanatory captions and are cited in the body of the report. Make sure that your figures have legends as well as x and y labels with proper and consistent fonts. Don’t forget that any number presented in the report or on the figures has to have a proper unit. Equations and pages in your report should be numbered. Embed your figures in the text. Make sure they do not have unnecessary frames around them or are not plotted on a grey background (default setting of some software programs!). inlet angle Particle trajectory i p y i 0 p x  Important Note: It is possible to solve the above ODEs using built‐in solvers such as ode45 in MATLAB, and you are encouraged to consider that for validating your MATLAB program. However, the results that you submit for this project MUST be obtained from your own implementation of the 4th order Runge‐Kutta method. You will not receive full credit if your MATALB program does not work, even if your results are absolutely correct! References: 1. http://www.airexco.net/custom‐manufacturedbr12‐inch‐pleated‐filter‐c‐108_113_114/custommadebr12‐ inch‐pleated‐filter‐p‐786.html 2. http://www.ebay.com/itm/Air‐Compressor‐Air‐Filter‐Element‐CFE‐275‐Round‐Pleated‐Filter‐ /251081172328 3. A.M. Saleh and H.V. Tafreshi, A Simple Semi‐Analytical Model for Designing Pleated Air Filters under Loading, Separation and Purification Technology 137, 94 (2014) 4. A.M. Saleh, S. Fotovati, H.V. Tafreshi, and B. Pourdeyhimi, Modeling Service Life of Pleated Filters Exposed to Poly‐Dispersed Aerosols, Powder Technology 266, 79 (2014)

Project 1: Particle Trajectory in Pleated Filters Due: 12:30 pm, Dec. 1, 2015, submission through blackboard Course: Numerical Methods Instructor: Dr. Hooman V. Tafreshi Most aerosol filters are made of pleated fibrous media. This is to accommodate as much filtration media as possible in a limited space available to an air filtration unit (e.g., the engine of a car). A variety of parameters contribute to the performance of a pleated filter. These parameters include, but are not limited to, geometry of the pleat (e.g., pleat height, width, and count), microscale properties of the fibrous media (e.g., fiber diameters, fiber orientation, and solid volume fraction), aerodynamic and thermal conditions of the flow (e.g., flow velocity, temperature, and operating pressure), and particle properties (e.g., diameter, density, and shape). Figure 1: Examples of pleated air filters [1‐2]. In this project you are asked to calculate the trajectory of aerosol particles as they travel inside a rectangular pleat channel. Due to the symmetry of the pleat geometry, you only need to simulate one half of the channel (see Figure 2). Figure 2: The simulation domain and boundary conditions (the figure’s aspect ratio is altered for illustration purposes). Trajectory of the aerosol particles can be calculated in a 2‐D domain by solving the Newton’s 2nd law written for the particles in the x‐ and y‐directions, v(h) inlet velocity fibrous media v(y) y tm l h x Ui u(l) u(x) 2 2 p 1 p 1 ( , ) d x dx u x y dt  dt    2 2 p 1 p 1 ( , ) d y dy v x y dt  dt    where 2 1/18 p p   d    is the particle relaxation time, 10 μm p d  is the particle diameter, 1000 kg/m3 p   is the particle density, and   1.85105 Pa.s is the air viscosity. Also, u(x, y) and v(x, y) represent the components of the air velocity in the x and y directions inside the pleat channel, respectively. The x and y positions of the particles are denoted by xp and yp, respectively. You may use the following expressions for u(x, y) and v(x, y) .     2 3 1 2 u x, y u x y h                  sin 2 v x,y v h π y h        where   i 1 u x U x l h          is the average air velocity inside the pleat channel in the x‐direction and Ui is the velocity at the pleat entrance (assume 1 m/s for this project). l = 0.0275 m and h =0.0011 m are the pleat length and height, respectively. Writing the conservation of mass for the air flowing into the channel, you can also obtain that   i v h U h l h         . These 2nd order ODEs can easily be solved using a 4th order Rung‐Kutta method. In order to obtain realistic particle trajectories, you also need to consider proper initial conditions for the velocity of the particles: x(t  0)  0 , ( 0) i p p y t   y , p ( 0) cos i i dx t U dt    , p ( 0) sin i i dy t U dt     . where i  is the angle with respect to the axial direction by which a particle enters the pleat channel (see Figure 3). The inlet angle can be obtained from the following equation: 2 75 0.78 +0.16 1.61St i i p p i y y e h h                    where   2 St 18 2 ρPdPUi μ h  is the particles Stokes number. Figure 3: An illustration of the required particle trajectory calculation inside a rectangular pleated filter. You are asked to calculate and plot the trajectories of particles released from the vertical positions of ?? ? ? 0.05?, ?? ? ? 0.25?, ?? ? ? 0.5?, ?? ? ? 0.75? , and ?? ? ? 0.95? in one single figure. To do so, you need to track the trajectories until they reach one of the channel walls (i.e., stop when xp  l or p y  h ). Use a time step of 0.00001 sec. For more information see Ref. [3]. For additional background information see Ref. [4] and references there. In submitting your project please stick to following guidelines: 1‐ In blackboard, submit all the Matlab files and report in one single zip file. For naming your zip file, adhere to the format as: Lastname_firstname_project1.zip For instance: Einstein_albert_project1.zip 2‐ The report should be in pdf format only with the name as Project1.pdf (NO word documents .docx or .doc will be graded). 3‐ Your zip file can contain as many Matlab files as you want to submit. Also please submit the main code which TA’s should run with the name as: Project1.m (You can name the function files as you desire). Summary of what you should submit: 1‐ Runge–Kutta 4th order implementation in MATLAB. 2‐ Plot 5 particle trajectories in one graph. 3‐ Report your output (the x‐y positions of the five particles at each time step) in the form of a table with 11 columns (one for time and two for the x and y of each particle). Make sure the units are second for time and meter for the x and y. 4‐ Write a short, but yet clean and professional report describing your work. Up to 25% of your grade will be based solely on the style and formatting of your report. Use proper heading for each section of your report. Be consistent in your font size. Use Times New Roman only. Make sure that figures have proper self‐explanatory captions and are cited in the body of the report. Make sure that your figures have legends as well as x and y labels with proper and consistent fonts. Don’t forget that any number presented in the report or on the figures has to have a proper unit. Equations and pages in your report should be numbered. Embed your figures in the text. Make sure they do not have unnecessary frames around them or are not plotted on a grey background (default setting of some software programs!). inlet angle Particle trajectory i p y i 0 p x  Important Note: It is possible to solve the above ODEs using built‐in solvers such as ode45 in MATLAB, and you are encouraged to consider that for validating your MATLAB program. However, the results that you submit for this project MUST be obtained from your own implementation of the 4th order Runge‐Kutta method. You will not receive full credit if your MATALB program does not work, even if your results are absolutely correct! References: 1. http://www.airexco.net/custom‐manufacturedbr12‐inch‐pleated‐filter‐c‐108_113_114/custommadebr12‐ inch‐pleated‐filter‐p‐786.html 2. http://www.ebay.com/itm/Air‐Compressor‐Air‐Filter‐Element‐CFE‐275‐Round‐Pleated‐Filter‐ /251081172328 3. A.M. Saleh and H.V. Tafreshi, A Simple Semi‐Analytical Model for Designing Pleated Air Filters under Loading, Separation and Purification Technology 137, 94 (2014) 4. A.M. Saleh, S. Fotovati, H.V. Tafreshi, and B. Pourdeyhimi, Modeling Service Life of Pleated Filters Exposed to Poly‐Dispersed Aerosols, Powder Technology 266, 79 (2014)

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