Notes, abstracts, papers, exams and problems of Mathematics

Relatively Prime

When the greatest common factor of two numbers is 1

Rational Number

Any number that can be expressed as a ratio of two integers

Reciprocal

One of two numbers whose product is 1, also called multiplicative inverse

Relation

A set of ordered pairs

X Coordinate

The first number in an ordered pair; it tells the distance to move right or left from the origin (0,0)

Y Coordinate

The second number in an ordered pair; it tells the distance to move up or down from the origin (0,0)

X Axis

The horizontal axis on a coordinate plane

Y Axis

The vertical axis on a coordinate plane

Coordinate Plane

A plane formed by the intersection of a horizontal line (the x-axis) and a vertical line (the y-axis)

Vertical Line Test

A method for seeing if a graph represents a... Continue reading "Math Terminology: Definitions and Examples" »

Analytics and Statistics: Key Concepts

Analytics: the scientific process of transforming data into insight for making better decisions. Population: the set of all elements of interest in a particular study. Sample: a subset of the population. Data: the facts and figures collected, analyzed, and summarized for presentation and interpretation. Cross-sectional data: data collected at the same or approximately the same point in time. Statistics: the art and science of collecting, analyzing, presenting and interpreting data. Variable: a characteristic of interest for the elements. Data set: all the data collected in a particular study. Elements: the entities on which data are collected.

Data Summary

1. Cumulative Frequency Distribution: a tabular summary... Continue reading "Understanding Analytics and Statistics: Key Concepts and Definitions" »

Patton (70)   French Connection (71)   Godfather (72)

Contradiction

The reading and the lecture are both about ______. Whereas the author of the reading states that _______, the lecturer suggests that ________. The lecturer casts doubt on the main points made in the reading by providing two/three reasons.

First of all, according to the reading, _____________ .However, the lecturer disputes this point. He/She says that _________. Furthermore, he/she mentions that __________

Secondly, the reading states that _______. Nevertheless, the lecturer refutes this argument. He/She argues that __________. In addition, he/she points out ________.

Finally, the reading claims that _________. On the other hand, the lecturer believe that _____. He/She thinks that _______. Moreover, he/she feels that ________

In conclusion,... Continue reading "Contradiction Between Reading and Lecture on ________" »

Fm of citizens- 18,20,21. 1. Is an individual a citizen? 20. One doesn’t have to be economically active to rely on citizen rights, gained when born in the EU. 2. Measures to breach 21,18,20? Is there a right to reside restricted- 21, right of residence but can be limited by having sufficient resources. Right to not be discriminated on grounds of nationality- 18, once people have a residence permit, if not economically active can rely on 18 for social assistance. For students, request loans. MS- can request societal integration but do not require settled status, can find by demonstrating a period of time a student has been in the country. Broad breach- 20. 3. Does measures breach citizen rights on social advantage on 24.1 crd? a. Equal treatment... Continue reading "EU Citizenship Rights and Protections for Workers and Job Seekers" »

Apothem

The perpendicular distance from the center of a regular polygon to a side of the polygon.

Center of a Circle

The point inside a circle that is the same distance from every point on the circle.

Center of a Regular Polygon

The point that is equidistant from all vertices of a regular polygon.

Central Angle of a Regular Polygon

An angle whose vertex is the center of the regular polygon and whose sides pass through consecutive vertices.

Circle

The set of points in a plane that are a fixed distance from a given point called the center of the circle.

Composite Figure

A plane figure made up of triangles, rectangles, trapezoids, circles, and other simple shapes, or a three-dimensional figure made up of prisms, cones, pyramids, cylinders, and other simple... Continue reading "Geometry Terms and Definitions" »

Which of the following is most likely an issuer bonds: HEDGE FUND

A bond issued by a city would most likely be classified as a: NON-SOVEREIGN GOVERNMENT BOND

A fixed-income security issued with a maturity at issuance of nine months is most likely classified: MMSECURITY

The price of a bond issued in the US by a British company and denominated in US dollars is most likely: CHANGE AS US INTEREST RATES CHANGE

Interbank offered rates are best described as the rates at which major banks can: BORROW UNSECURED FUNDS

A company issues floating-rates bonds. The coupon rates is expressed as the three-month Libor plus a spread. The coupon payments are most likely: LIBOR INCREASES

A 10-year bond was issued four years ago. The bond is denominated in US dollars,

CHAPTER 1,2,3,4,7

1. Compute the a) CM Ratio, b) BEP in number of computers, c) the BEP in $ sales=