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MATH 270 Applied Calculus II Full Course DeVry


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MATH 270 Applied Calculus II Full Course DeVry

MATH 270 Week 1 Applications of Integrations I DeVry

MATH 270 Week 1 Discussion

WEEK 1: NUMERICAL INTEGRATION
This week, we will be working with numerical integration. These methods provide tools by which we can find the approximate value of a definite integral. Here are some questions we will address. Please post your answers in this area.
  1. In what situations would we choose to use numerical integration to find an approximation, rather than use the basic formulas or other integration techniques to find an exact value?
  2. What is the trapezoidal rule? How do we use it?
  3. What is Simpson’s rule? How do we use it?
  4. Which rule gives the better approximation? Why? How do you define better in this question?
Please feel free to use examples from the homework to illustrate your answers.

MATH 270 Week 1 Lab

Scenario/Summary
Please click on the link below to open up the Lab. It will be in the form of a MS Word document. Please complete all parts of the Lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can do this action. If you have Word 2007 or a newer version(s), you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods work for you, you can type directly from the keyboard using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week1ilab”. For example, if you are Albert Einstein and you are submitting your Week 1 Lab, the filename should be “einstein_a_week1ilab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet

MATH 270 Week 1 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 1 HOMEWORK B

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 1 CALCULUS REVIEW

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 1 Quiz

Instructions
Here is some information about your quiz.
  • The quiz is worth 20 points.
  • This quiz covers material from Week 1 only, primarily dealing with numerical integration and applications of integration.
  • This quiz contains four or five questions, which include calculation, application, and essay questions. So you should not only know how to solve problems, but be able to explain how you are solving them or how they connect to real-world applications and concepts.
  • You will have 1 hour to complete the quiz.
By submitting this work, I am attesting that it abides by the Student Honor Code.

MATH 270 Week 2 Applications of Integrations II DeVry

MATH 270 Week 2 Discussion

WEEK 2: ADVANCED INTEGRATION TECHNIQUES
This week, we will look at a variety of techniques for integrating complex functions. Here are some questions we will address. Please post your answers in this area.
  1. How do we use the formulas involving inverse trigonometric forms?
  2. How can we look at an integral involving trigonometric forms and decide which rule or rules to use to solve it?
  3. What process do we use to solve an integral using trigonometric substitution?
  4. How can we look at integrals and determine which trigonometric substitutions to make?
  5. How do we know when the integration by parts method is required?
  6. What is the process used to solve an integral when the integration by parts method is required?
  7. What should we do when the integration by parts method seems to produce an unending cycle of new integrations?
  8. What is the process used to solve an integration problem using a table of integrals?
  9. What are the key points to remember when using a table of integrals?
Please feel free to use examples from the homework to illustrate your answers.

MATH 270 Week 2 Lab

Instructions
Please click on the link below to open up the lab. It will be in the form of a MS Word document. Please complete all parts of the Lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can do this action. If you have Word 2007 or a newer version(s), you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods work for you, you can type directly from the keyboard by using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week2ilab”. For example, if you are Albert Einstein and you are submitting your Week 2 Lab, the filename should be “einstein_a_week2ilab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet

MATH 270 Week 2 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 2 HOMEWORK B

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.


MATH 270 Week 2 :WEEK 1 REVIEW

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 2 Quiz

Instructions
Here is some information about your quiz.
  • The quiz is worth 20 points.
  • This quiz covers material from Week 2 only, primarily dealing with integration techniques: trigonometric substitution, by parts, and partial fractions.
  • This quiz contains four or five questions, which include calculation, application, and essay questions. So you should not only know how to solve problems, but be able to explain how you are solving them or how they connect to real-world applications and concepts.
  • You will have 1 hour to complete the quiz.
By submitting this work, I am attesting that it abides by the Student Honor Code.

MATH 270 Week 3 Series and Sequences DeVry

MATH 270 Week 3 Discussion

WEEK 3: INFINITE SERIES—THE MATH
This week, we begin working with series. Here are some questions we can address to help us better work with series. Please feel free to answer any of them in this area.
  1. What is an infinite series? How can we tell if such a series converges or diverges?
  2. How can we find the nth term of an infinite series?
  3. What is a geometric series and how do we find its sum?
  4. How do we build a MacLaurin Series expansion for a given function? How do we write the generic series definition that can produce any term in the series expansion?
  5. How can we use existing series expansions of basic functions, such as e^x or Sin(x), to build series expansions for more complex functions, such as e^6x or e^xSin(x)?
  6. How and under what circumstances can we use series expansions to perform computations, such as integration or evaluation, instead of using the actual function?

MATH 270 Week 3 Lab

Instructions
Please click on the link below to open up the lab. It will be in the form of a MS Word document. Please complete all parts of the lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can perform this action. If you have Word 2007 or a newer version(s), you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods works for you, you can type directly from the keyboard using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week3lab”. For example, if you are Albert Einstein and you are submitting your Week 3 Lab, the filename should be “einstein_a_week3lab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet

MATH 270 Week 3 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 3 HOMEWORK B

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 3 :WEEK 2 REVIEW

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 3 Quiz

Instructions
Here is some information about your quiz.
  • The quiz is worth 20 points.
  • This quiz covers material from Week 3 only, primarily dealing with the MacLaurin series and series computations.
  • This quiz contains four or five questions, which include calculation, application, and essay questions. You should not only know how to solve problems, but be able to explain how you are solving them, or how they connect to real-world applications and concepts.
  • You will have 1 hour to complete the quiz.
By submitting this work, I am attesting that it abides by the Student Honor Code.

MATH 270 Week 4 Fourier Series DeVry

MATH 270 Week 4 Discussion

WEEK 4: THE TAYLOR AND FOURIER SERIES
This week, we will be working with the Taylor and Fourier series. Below are some questions we will address. Please post your answers in this area.
  • What is a Taylor series? How is it related to a MacLaurin series?
  • How do we build a Taylor series expansion for a given function, such as f(x) = e^x where a = 3?
  • What is a Fourier series? Why is it a good series to use to approximate wave functions?
  • How do we build a Fourier series? What are the formulas involved? What information do they give us?
  • How does the even/odd nature of a function impact how we build the Fourier series? How can we tell if a function is even or odd?
  • Please feel free to use examples from the homework to illustrate your answers.

MATH 270 Week 4 Lab

Instructions
Please click on the link below to open up the lab. It will be in the form of a MS Word document. Please complete all parts of the lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can perform this action. If you have Word 2007 or a newer version, you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods work for you, you can type directly from the keyboard using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week4lab”. For example, if you are Albert Einstein and you are submitting your Week 4 lab, the filename should be “einstein_a_week4lab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet

MATH 270 Week 4 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 4 MIDTERM TEST

You have one attempt at this test. If you would like a second attempt at the Midterm Exam, you will need to do the following:
  • Access your study plan and complete all problems with a pencil for the sections related to the test. You will need to submit the work for these problems to your instructor. Your instructor will then open a second attempt at the exam. There are several ways that you can perform this action. If you have Word 2007 or a newer version, you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, send your work to your instructor. You can also scan your handwritten work into your computer. Finally, only if none of the other methods work for you, you can type directly from the keyboard by using parentheses, carats, and other symbols to delineate the pieces of your answers.

MATH 270 Week 5 Applications of Differential Equations I DeVry

MATH 270 Week 5 Discussion

WEEK 5: SOLVING DIFFERENTIAL EQUATIONS
This week, we begin exploring differential equations. Here are some questions we will be addressing. Please provide answers to them in this area. Remember to keep one thread for each question, cite and reference outside sources, and use the 80/20 rule for “copy and paste”. For each one line copied, write four lines of explanation.
  1. What is a differential equation?
  2. What steps should we follow to solve a differential equation using separation of variables?
  3. How can we tell when a differential equation should be solved by separation of variables?
  4. What steps should we follow to solve a first-order differential equation?
  5. How can we tell when a differential equation is a first-order form? What additional steps need to be taken and what must be present if we are to solve a differential equation for a particular solution rather than a general solution?
Please feel free to use examples from the homework to illustrate your answers.

MATH 270 Week 5 Lab

Instructions
Please click on the link below to open up the lab. It will be in the form of a MS Word document. Please complete all parts of the lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can perform this action. If you have Word 2007 or a newer version, you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods work for you, you can type directly from the keyboard by using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week5lab”. For example, if you are Albert Einstein and you are submitting your Week 5 Lab, the filename should be “einstein_a_week5lab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet

MATH 270 Week 5 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 5 HOMEWORK B

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 5 :WEEK 4 REVIEW

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 5 Quiz

Instructions
Here is some information about your quiz.
  • The quiz is worth 20 points.
  • This quiz covers material from Weeks 4 and 5, including CO 4, and deals with Taylor Series, Fourier Series, and first-order linear ODEs from Chapter 31.6.
  • This quiz contains four or five questions, which include calculation, application, and essay questions. You should not only know how to solve problems, but be able to explain how you are solving them, or how they connect to real-world applications and concepts.
  • You will have 1 hour to complete the quiz.
  • When the time limit is reached, you will automatically be exited from the exam.
  • This quiz is all on one page.
By submitting this work, I am attesting that it abides by the Student Honor Code.

MATH 270 Week 6 Applications of Differential Equations II DeVry

MATH 270 Week 6 Discussion

WEEK 6: SOLVING SECOND-ORDER DIFFERENTIAL EQUATIONS
This week, we will look at second-order differential equations. Here are some questions we will address. Please post answers to these questions in this area.
  1. How is a second-order differential equation different from a first-order one? What clues does the notation give us?
  2. How is a homogeneous differential equation different from a nonhomogeneous differential equation?
  3. What steps should we follow to solve a homogeneous differential equation?
  4. What steps should we follow to solve a nonhomogeneous differential equation?
  5. How do we ensure that each term in the solution to a differential equation is unique?
Please feel free to use examples from the homework to illustrate your answers.

MATH 270 Week 6 COURSE PROJECT RESEARCH PRESENTATION

All Sections
One member of each team will post their team presentation for review by other class members. Review all presentations in preparation for next weeks Great Debate.

MATH 270 Week 6 Lab

Insturctions
Please click on the link below to open up the Lab. It will be in the form of an MS Word document. Please complete all parts of the lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can perform this action. If you have Word 2007 or a newer version, you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods work for you, you can type directly from the keyboard by using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week6ilab”. For example, if you are Albert Einstein and you are submitting your Week 6 Lab, the filename should be “einstein_a_week6ilab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet

MATH 270 Week 6 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 6 HOMEWORK B

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 6 :WEEK 5 REVIEW

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 6 COURSE PROJECT

Your Course Project Research Presentation is due this week. Please see the Course Project Overview in Introduction and Resources for details.
Please submit your presentation for grading.
One team member should also post your presentation to the Course Project Presentation discussion for review by others in preparation for next week’s Great Debate.

MATH 270 Week 6 Quiz

Instructions
Here is some information about your quiz.
  • The quiz is worth 20 points.
  • This quiz covers material from Week 6 only, primarily dealing with second-order ODEs.
  • This quiz contains four or five questions, which include calculation, application, and essay questions. So you should not only know how to solve problems, but be able to explain how you are solving them or how they connect to real-world applications and concepts.
  • You will have 1 hour to complete the quiz.
By submitting this work, I am attesting that it abides by the Student Honor Code.

MATH 270 Week 7 Laplace Transforms DeVry

MATH 270 Week 7 Discussions

WEEK 7: LAPLACE TRANSFORMS
This week, we will look at Laplace transforms. Here are some questions we will address. Please post your answers in this area. Remember to keep information for each question in one area.
  1. What are Laplace transforms?
  2. How do we find the transform of a given function?
  3. How do we transform a differential equation?
  4. What is an inverse transform?
  5. How do we transform from Laplace form back to function form?
  6. How do we use transforms to solve differential equations?
What must be present in order for us to use Laplace transforms to solve a differential equation? Why?
Please feel free to use examples from the homework to illustrate your answers.
WEEK 7: THE GREAT DEBATE
You and your team have reviewed all presentations submitted to the Week 6 discussion. Now, your team is going to attempt to persuade the other team to adopt your research model. You must show the opposing teams the errors in their report.

MATH 270 Week 7 Lab

Instructions
Please click on the link below to open up the lab. It will be in the form of an MS Word document. Please complete all parts of the lab and note that there are places where you must show the work that you did to reach the answer to a problem.
Online Note: There are several ways that you can perform this action. If you have Word 2007 or a newer version, you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods works for you, you can type directly from the keyboard by using parentheses, carats, and other symbols to delineate the pieces of your answers.
File Naming: Please use the following format when you save your Word document. Save your ONE Word file using the filename format “lastname_firstinitial_week7lab”. For example, if you are Albert Einstein and you are submitting your Week 7 Lab, the filename should be “einstein_a_week7lab”. Don’t forget to submit your assignment.
Deliverables
Submit your lab once completed.
Lab Steps
The Lab Worksheet
Access and download this week’s Lab Worksheet here. (Links to an external site.)Links

MATH 270 Week 7 HOMEWORK A

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 7 HOMEWORK B

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 7 :WEEK 6 REVIEW

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

MATH 270 Week 7 Quiz

Instructions
Here is some information about your quiz.
  • The quiz is worth 20 points.
  • This quiz covers material from Week 7 only, dealing with Laplace Transforms.
  • This quiz contains four or five questions, which include calculation, application, and essay questions. You should not only know how to solve problems, but be able to explain how you are solving them, or how they connect to real-world applications and concepts.
  • You will have 1 hour to complete the quiz.
By submitting this work, I am attesting that it abides by the Student Honor Code

MATH 270 Week 8 Final Week DeVry

MATH 270 Week 8 Discussion

WEEK 8: LOOKING AHEAD
All Sections
Class, looking back over the Course Objectives for this course, what are you looking forward to learning more about throughout your education and career?

MATH 270 Week 8 FINAL EXAM

You have one attempt at the Final Exam. It is worth 20% of your grade, so please take some time to review and study the problems you missed on the Practice Final Exam before you take the Final Exam.

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