Mathematics Discovery

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Write two Mathematics Discovery Papers this semester. The purpose of a MDP is to practice writing original mathematics results. You will identify a topic that interests you, pose an original question related to the topic, and explore answers to your question. Note that a MDP is NOT a report on mathematics that has already been done. You are NOT summarizing the existing findings of past/current mathematicians. Instead, this is an exercise in creating/discovering new mathematics.

Formulating a Question
New mathematics questions often arise from looking at another mathematician’s work and thinking, “What if instead…” or, “I wonder if…” For instance, we might work on the Fibonacci Sequence in class and you might find yourself thinking, “Would different patterns arise if the Fibonacci sequence started with 2, 2, instead of 1, 1?” Or, when we’re exploring number systems in different bases, you might think, “I wonder how addition would be different if our number system was base-5 instead of base-10.” The question you explore should arise from genuine interest. It is essential for a mathematician to be genuinely curious about the questions they solve. This will motivate you to keep working through the question even when you encounter difficulties. When determining a question to explore for your MDPs: if you find yourself wanting to keep playing around with something outside of class, this is a good sign that something related to the topic is a candidate for a MDP.

Writing a Partner Paper:
MDPs are partner assignments and both partners will receive the same grade. Consider your “community contribution” when working with a partner. Would you want to be partnered with yourself on this assignment? Are you being a responsible and caring partner?

It is recommended that each partner SEPARATELY explore your question to start. Then, come together to compare methods and share findings. Together decide a specific route to explore further. DO NOT write up your findings as two separate explorations. Together, determine a way to share your findings cohesively. This may mean abandoning one partner’s work to focus instead on what the other partner has been doing. Basically, the reader should not be able to tell that there were two authors on the paper. It should read like one continuous piece.

Sample Solution

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Analysis of a specific diversification move.

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The diversification/corporate transaction that needs to be analyzed is detailed in the following link: https://www.businesswire.com/news/home/20201110005649/en/Take-Two-Interactive-Software-Inc.-Reaches-Agreement-for-Recommended-Acquisition-of-Codemasters-Group-Holdings-PLC

Sample Solution

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Mathematical Analysis;Milliliters

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How many milliliters of 60% carbonic acid must be mixed with how many milliliters of 15% carbonic acid to make 650 milliliters of a 38% carbonic acid solution? Explain how you arrived at your answer.

Sample Solution

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Technology companies for safe autonomous driving vehicles

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1 Develop the problem-solving skills for teamwork especially if the problem relates to the task (Lo 3.2).

Assignment 3
Reference Source:
Textbook:-
Colquitt, J. A., LePine, J. A., & Wesson, M. J. (2019). Organizational behaviour: Improving performance and commitment in the workplace (6th ed). Burr Ridge, IL: McGraw-Hill Irwin.

Case Study: –
Case: General Motors

Please read the case “General Motors” from Chapter 14 “Leadership: Styles and Behaviors” Page: – 469 given in your textbook – Organizational behaviour: Improving performance and commitment in the workplace (6th ed). by Colquitt, J. A., LePine, J. A., & Wesson, M. J. (2019) and Answer the following Questions:

Assignment Question(s):

  1. Do you think GM can outduel the technology companies for safe autonomous driving vehicles? (1.25 Marks ) (Min words 150-200)
  2. Would you consider Mary Barra to be the prototypical transformational leader? In what ways does she fit or not fit that model? (1.25 Marks ) (Min words 200-250)
  3. Given GM’s history, why does Barra put a premium on her executives’ leadership behaviours? (1.25 Marks ) (Min words 200)
    Important Note:- Support your submission with course material concepts, principles, and theories from the textbook and at least two scholarly, peer-reviewed journal articles.

Part:-2
Discussion Question: Please read Chapter 14 “Leadership: Styles and Behaviors” carefully and then give your answers on the basis of your understanding.

  1. Before reading this chapter, which statement did you feel was more accurate: “Leaders are born” or “Leaders are made”? How do you feel now, and why do you feel that way? (1.25 Marks ) (Min words 200-300)
    Important Note:- Support your submission with course material concepts, principles, and theories from the textbook and at least two scholarly, peer-reviewed journal articles.
    Due date for the submission of Assignment:- 3
    • Assignment-3 should posted in the Black Board by end of Week-11.
    • The due date for the submission of Assignment-3 is end of Week-13.

Answer:
1.
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3.
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Sample Solution

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