MTH 280 All Discussions

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MTH 280 Wk 1 Discussion – Graphing Functions

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

This week, we explore graphical characteristics of functions. Respond to the following:

You might have heard the term “exponential growth” used to describe the spread of the corona virus. Give an example of an exponential function. How does an exponential function differ from a logistic function? Which function do you think is an appropriate model for the spread of COVID-19? Why? Cite and give the reference for the sources you used to answer this question.

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.

MTH 280 Wk 2 Discussion – Limits

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

This week, we learn about limits and continuity. Respond to the following:

The reading for this week includes the two classic problems of calculus: The problem of tangents, and the problem of area (quadrature). Choose one problem and research the mathematician(s) involved in its development. Cite and give references for all sources you use.

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.

MTH 280 Wk 3 Discussion – Derivatives

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

This week, we begin to explore derivatives. Respond to the following:

Galileo’s formula (for falling objects) gives the position of a falling object at time t. Find the formula and use it to figure out how long it would take for an apple dropped from the restaurant at the top of the Space Needle to reach the ground. What would be its velocity when it hits the ground? (The restaurant is 500 feet from the ground.) Explain clearly and completely your work. Cite and give references for all sources you use.

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.

MTH 280 Wk 4 Discussion – Chain Rule

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

This week, we learn about the chain rule and related rates. (Related rate problems are in the Week 5 reading, which is Chapter 6.) State the chain rule and give an example of its use. Explain clearly and completely your work. Cite and give references for all sources you use.

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.

MTH 280 Wk 5 Discussion – Applications of Derivatives

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

This week, we explore various applications of derivatives. Respond to the following:

Answer any ONE of the following exercises in your text. Explain clearly and completely your work.

Exercise 6.1.17

Exercise 6.1.18

Exercise 6.3.2

Exercise 6.3.3

Exercise 6.3.6

Exercise 6.3.53

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.

MTH 280 Wk 6 Discussion – Fundamental Theorem of Calculus

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

This week you learn about the Fundamental Theorem of Calculus. This theorem establishes the relationship between differentiation and integration and gives us a way to evaluate definite integrals without using Riemann sums or calculating areas. Respond to the following:

Who first formulated the Fundamental Theorem of Calculus, and when? Cite and give references for all sources you use.

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.

 MTH 280 Wk 7 Discussion – What is Calculus?

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.

Due Thursday

Respond to the following:

Imagine that a friend is starting college and wondering whether to take calculus. The friend asks you “What does calculus have to do with the real world?” Answer the question and cite all sources that you use, including the textbook.

Due Monday

Post 2 replies to classmates or your faculty member. Be constructive and professional.