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## MATH 260 Applied Calculus Full Course DeVry

### MATH 260 Week 1 Limits of Funtions DeVry

#### MATH 260 Week 1 Discussion Latest

Please introduce yourself to the class. Tell us your major, a bit about your family, your interests, and whatever else you want to share!

#### MATH 260 Week 1 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 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.

#### MATH 260 WEEK 1 CONTINUITY/LIMITS AND SLOPE 23.1/23.2

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 260 Week 1 THE DERIVATIVE 23.3/23.4

Go to MyMathLab and complete the assignments located there. If you miss any questions, remember that you can rework questions as many times as you want. Thus, your goal should be 100% correct for these assignments. 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 260 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 260 Week 2 Derivatives DeVry

#### MATH 260 Week 2 Discussion

This week, we will be exploring the concept of derivative. Here are some questions that we will address. Please post your answers in this thread.

- What is the derivative? Mathematically and/or real world?
- What is the power rule and how do we use it to find a derivative?
- What is the product rule and how do we use it to find a derivative?
- What is the quotient rule and how do we use it to find a derivative?
- What is the chain rule and how do we use it to find a derivative?
- What information can be obtained from derivatives?
- Please provide an example from the real world and explain the information that you could gain from it.
- How do we find higher-order derivatives?
- How are the higher-order derivatives for f(x) = 3x
^{6}different from the higher-order derivatives of f(x) = 2x-4? Please use examples from the homework to illustrate your answers.

#### MATH 260 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 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.

#### MATH 260 Week 2 DERIVATIVE RULES 23.5/23.6

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 260 Week 2 CHAIN RULE AND MORE 23.7/23.9

#### MATH 260 Week 2 REVIEW

#### MATH 260 Week 2 QUIZ** **

**Instructions**

**Quiz Week 2: Limits, Continuity, Velocity/Rate of Change**

This is the first of five quizzes you will take in this course. Each quiz will be on the previous week’s material.

- This quiz covers CO 1 and Chapter 23.
- This quiz is worth 20 total points and includes
- one short answer questions worth 2 points each;
- two short answer questions worth 6 points each; and
- three multiple choice questions worth 2 points.

- You have 2 hours to finish the quiz.
- When the time limit is reached you will be exited from the exam.

By submitting this work, I am attesting that it abides by the Student Honor Code.

### MATH 260 Week 3 Applications of Darivatives DeVry

#### MATH 260 Week 3 Discussion

Take turns determining the following.

- Domain and Range;
- X and Y Intercepts;
- Maxima and Minima;
- Increasing/Decreasing Behavior;
- Concavity; and
- Point(s) of inflection.

Be sure that you explain how you determined each part.

Also, if you have other questions that you would like me to address, post them here.

#### MATH 260 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 do this action. If you have Word 2007 or 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.

#### MATH 260 Week 3 TANGENTS/NORMALS, CURVES 24.1/24.5

#### MATH 260 Week 3 MORE CURVES & APPLICATIONS 24.6/24.7** **

#### MATH 260 Week 3 REVIEW

#### MATH 260 Week 3 QUIZ

**Instructions**

**Quiz Week 3: Power, Product, Quotient, Chain Rules, and Higher Derivatives**

This is the second of the five quizzes you will take in this course. Each quiz will be on the previous week’s material.

- This quiz covers CO 2 and Chapter 23.
- This quiz is worth 20 total points and includes
- four short answer questions worth 4 points each; and
- two multiple choice questions worth 2 points.

- You have 2 hours to finish the quiz.
- When the time limit is reached you will be exited from the exam.

By submitting this work, I am attesting that it abides by the Student Honor Code.

### MATH 260 Week 4 Derivatives of Trigonometric Functions DeVry

#### MATH 260 Week 4 Discussion

Trigonometric functions are some of the most important functions that you will explore. Remember that they are periodic, so they have many real-world applications in studying various kinds of waves and frequencies. Here are some questions that we will address. Please post answers in this thread.

- What are the formulas for the derivatives of the trig functions?
- How do we use them to find derivatives of more complex functions involving trig forms?
- How can we use the trig identities to rewrite functions so that we can apply the basic formulas?
- What are real-world applications for trig functions, particularly those that come from your program?
- Explain how you can use the derivative to explore these applications.

Please feel free to use examples from the homework to illustrate your answers.

#### MATH 260 Week 4 Lab

**Instructions**

**Online Note:** There are several ways that you can do this action. If you have Word 2007 or 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.

#### MATH 260 Week 4 MIDTERM EXAM

You have one attempt on the Midterm. It is strongly recommended that you use the Study Plan after taking the Review to work through any topics you feel you need more experience with prior to taking the Midterm.

The Midterm covers Weeks 1, 2, and 3 material. It is designed to test what you have learned so far.

Remember to submit your exam when you are finished.

### MATH 260 Week 5 Derivatives of Logarithmic and Exponential Functions DeVry

#### MATH 260 Week 5 Discussion

This week, we will be exploring exponential and logarithmic functions, as well as L’Hospitals Rule. Here are some questions that we will address. Please post your answers in this thread.

- What are the formulas for the derivatives of e^x and ln(x)?
- How do the formulas change when the base of a logarithm is other than e?
- How can we use these formulas to determine the derivatives of more complex functions involving e^x and ln(x)?
- What role do the rules for expanding logarithmic functions play in making it easier to find derivatives of complex logarithmic functions?
- What is L’Hospitals Rule? What conditions must be met in order to make use of it? How do we use it to find a limit?
- What real-world applications can you find involving exponential and logarithmic functions? Explain how you would use derivatives to explore those applications.

Please use examples from the homework to illustrate your answers.

#### MATH 260 Week 5 Lab

**Instructions**

**Online Note:** There are several ways that you can do this action. If you have Word 2007 or 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.

#### MATH 260 Week 5 DERIVATIVE OF LOGS/EXP 27.5/27.6

#### MATH 260 Week 5 L’HOSPITALS + APPLICATIONS 27.7/27.8

#### MATH 260 Week 5 QUIZ

**Instructions**

**Quiz Week 5—Trigonometric Derivatives**

This is the third of five quizzes you will take in this course. Each quiz will be on the previous week’s material.

- This quiz covers CO 2 and Chapter 27.
- This quiz is worth 20 total points and includes
- four short answer questions worth 4 points each; and
- two multiple choice questions worth 2 points.

- You have 2 hours to finish the quiz.
- When the time limit is reached you will be exited from the exam.

By submitting this work, I am attesting that it abides by the Student Honor Code.

### MATH 260 Week 6 Derivatives of Transcendental Functions DeVry

#### MATH 260 Week 6 Discussion

This week, we will begin exploring antiderivatives and integration. Here are some questions that we will address. Please post your answers in this thread.

- What are antiderivatives? How are they connected to derivatives?
- How do we determine an antiderivative? What formulas can we use?
- What is an indefinite integral? How is it related to antiderivatives?
- Why does the indefinite integral require +c on the end of its solutions? Why is the +c not needed for a definite integral?
- Why is (x+5)^3 a correct anitiderivative of 3(x+5)^2, whereas (2x+5)^3 is not a correct antiderivative of 3(2x+5)^2 ?
- What is the power rule for integration? How do we use it?
- What is a definite integral? How is it connected to area under the curve?
- How do we find area under the curve using Riemann Sums?
- What is the Fundamental Theorem of Calculus? How do we use it to evaluate a definite integral?
- How do we solve an integral using substitution?

Please use examples from your homework to illustrate your answers

#### MATH 260 Week 6 Lab

**Instructions**

**Online Note:** There are several ways that you can do this action. If you have Word 2007 or 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.

#### MATH 260 Week 6 ANTIDERIVATIVES/INTEGRALS 25.1,2/28.1

#### MATH 260 Week 6 AREA & DEFINITE INTEGRALS 25.3/25.4

#### MATH 260 Week 6 REVIEW** **

#### MATH 260 Week 6 QUIZ

**Instructions**

**Quiz Week 6—Differentiation of Logs, Exponentials, and L’Hospital’s Rule**

This is the fourth of five quizzes you will take in this course. Each quiz will be on the previous week’s material.

- This quiz covers CO 2 and Chapter 27.
- This quiz is worth 20 total points and includes
- four short answer questions worth 4 points each; and
- two multiple choice questions worth 2 points.

- You have 2 hours to finish the quiz.
- When the time limit is reached you will be exited from the exam.

By submitting this work, I am attesting that it abides by the Student Honor Code.

### MATH 260 Week 7 Integration DeVry

#### MATH 260 Week 7 Discussion

This week, we will explore a variety of integrals. Here are some questions that we will discuss in the thread this week.

- What applications can you find either in your program of study or elsewhere that require integration to reach a solution?
- How do we recognize an integral whose solution will be a logarithmic form? How do we solve such an integral?
- How do we use the formula for the integral of ex to integrate functions of this form?
- How do we use the basic trig integration formulas to integrate more complex trig functions?
- What role does substitution play in integration with logarithmic, exponential, and trig forms?
- Why is calculus, and in particular, integral calculus, the foundation for the study of physics? In other words, why did Sir Isaac Newton develop calculus?

Please use examples from your homework to illustrate your answers.

#### MATH 260 Week 7 Lab

**Instructions**

**Online Note:** There are several ways that you can do this action. If you have Word 2007 or 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.

#### MATH 260 Week 7 LOGS AND EXPONENTIAL INTEGRALS 28.2,3** **

#### MATH 260 Week 7 TRIGONOMETRIC INTEGRALS 28.4

#### MATH 260 Week 7 REVIEW

#### MATH 260 Week 7 QUIZ

**Instructions**

**Quiz Week 6—Antiderivatives, Indefinite and Definite Integrals, and Reimann Sums**

This is the last quiz you will take in this course. Each quiz will be on the previous week’s material.

- This quiz covers CO 2 and Chapter 27.
- This quiz is worth 20 total points and includes
- four short answer questions worth 4 points each; and
- two multiple choice questions worth 2 points.

- You have 2 hours to finish the quiz.
- When the time limit is reached you will be exited from the exam.

By submitting this work, I am attesting that it abides by the Student Honor Code

### MATH 260 Week 8 Final Exam DeVry

#### MATH 260 Week 8 Discussion

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 260 Week 8 FINAL EXAM

You have one attempt on the Final Exam. It is strongly recommended that you use the Study Plan after taking the Review to work through any topics you feel you need more experience with prior to taking the Final Exam.

The Final Exam Covers Weeks 1 through 7 material. It is designed to test what you have learned in this course.

Remember to submit your exam when you are finished.

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MATH 260 Applied Calculus Full Course DeVry

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