Elementary Calculus

COURSE CODE BCO116 COURSE NAME: ELEMENTARY CALCULUS Task brief & rubrics

First Assignment Task

This summa)ve assignment is divided in a por3olio of 4 exercises. Avoid any !copy-paste” prac)ce to prevent possible problems of plagiarism.

This is an individual assignment.

Note 1: Include all calcula)ons made, not just the final answer. You can use an equa)on editor or a pen and paper (and then submit a photo).

Note 2: The content of the photo must be perfectly legible, otherwise the ques)on will not be evaluated.

You have to answer the following ques)ons.

QUESTION 1.

From a calculus perspec)ve, explain what is “change”, and how can we es)mate its exact quan)ta)ve value. Which condi)on has to be sa)sfied to obtain this value?. Use an example to show your conclusions.

QUESTION 2.

Explain geometrically the concept of “slope” and it possible interpreta)on using its sign. If f(x) describe the number of cars produced by a company in 1 week, how can you interpret:

At f(3), m = 20, At f(5), m = 0, At f(6), m = -20

QUESTION 3.

Solve the next equa)ons and probe your results:

QUESTION 4.

Find the domain and range of :

FormaliKes:

• Font: Arial 12,5 pts.

• Text alignment: Jus)fied.

Submission:

Week 3 - Sunday 17/10/2021 23:59 CEST – Via Moodle (Turni)n). Deadline: You have 48 hours to complete the exercise.

Weight:

This assignment count as 30% of your total grade in this class.

These summa)ve assignments evaluate the following learning outcomes:

• Timed Exercise 1

o Outcome 1: Understand what a func)on is and interpret its applica)ons in business.

o Outcome 2: Recognize, classify and compare func)ons represented in a variety of ways, including graphical, numerical, analy)cal, or verbal in the business world.

o Outcome 3: Interpret the deriva)ves of func)ons.

Rubrics for each quesKon

Descriptor

29-33

The student uses the proper formulas, completes the calcula)ons correctly, arrives to the right result, draws the graph correctly when required

26 - 28.9

The student uses the right formula, but applies it wrongly (minor errors, figures in the wrong place…) and then, of course, the result is wrong

21 - 23.9

The student demonstrates a fair understanding of the meaning of the data given and of the ques)on asked, but he/she is not able to iden)fy the formula to be used, does larger errors and/or the calcula)ons are wrong.

18- 20,8

The student demonstrates some understanding of the concepts but he/ she is not able to relate the data given in any way

9- 17,9

The student demonstrates insufficient understanding of the concepts and does not men)on any relevant ideas or concepts, but he/she done not leave it blank

3- 8,9 The student leaves the ques)on blank or cheats.