Algebra Course Works Samples For Students

Communication is an activity, through which people give, receive, or exchange facts, ideas, needs, observations and feelings, intentionally or unintentionally through spoken words, drawings, signals, notes, and behavior. Communication is a social activity involves interaction of people either physically or through appropriate media. Apart from being continuous, it is vibrant, multifaceted and frequently changes. Defining communication is complex; many varying definitions exist with each person having a different version (West & Turner, 2007). Personally, communication is very important to the human nature because it affects all the facets of our day-to-day lives. We use communication to understand our environment and our lives ...

In this paper we summarize what’s written in the book “Elementary Linear Algebra” by Howard Anton & Chris Rortes. The book describes the basic methods of elementary linear algebra, linear nature of considering objects: vector (or linear) space, linear transformations, systems of linear equations, quadratic and bilinear forms. The main linear algebra tools considered in this book are systems of linear algebraic equations, determinants, matrixes, conjugation.

The book consists of ten chapters; each part describes one of the major areas of linear algebra.

The first chapter is “Systems of Linear Equations and Matrices”.
A System of m linear algebraic equations with n unknown variables (or linear system, also used the abbreviation SLAE) ...

The purpose of the lesson, which was to prepare students for pre-algebra, was made clear by the teacher. However, as the lesson proceeded, the teacher explained that the students could use the pan-balance to replace objects with other variables. These variables could be used in working out uncomplicated algebraic expressions. The flow of the lesson deviates from the key purpose. This creates an element of contradiction from the initial purpose of the study. At the end of the lesson, the students had learnt on replacements other than understanding the key concepts of pan balance and pre-algebra.

The teacher is ...

Set theory is an essential language in learning mathematics, especially in algebra. Set theory, when is a prerequisite to algebra and other mathematical abstract concepts, it enhances their cognition. Dogan (2011) argues that cognitive difficulties in understanding abstract mathematical concepts results from the failure to master set theory language. Dogan (2011) found that set theory language is essential for proper response to linear algebra problems. Moreover, his study revealed that misconception of algebra and other abstract mathematical concepts was highly contributed by lack of mastery of set theory language. There are three elements of set theory that are critical in ...

In algebra the definition given to a monomial and a polynomial is that a monomial is a product of positive integer powers of similar or different variables. It has only one term and does not contain a variable in its denominator. A polynomial is the sum of one or more like or unlike terms. Polynomials are generally written in descending order and they are in their simplest form when they contain no like terms.
Distributive property also known as distributive law is basically breaking down numbers; separating like and unlike terms thus putting like terms together as well as unlike terms together. Property ...

1) Example (Every day business) Saving for the Future

You will graduate from high school in four years and go on to college. To help you pay for college books your grandparents put $1500 in a bank account paying 4.5% simple interest. When you go to college the money will have been in the account for 12 years. How much money will you have?

Step 1. PVrt = INT where INT = Interest and PV = Present Value
Step 2. FV = PV + INT = PV(1 + rt) where FV = Future value, r = annual interest rate, and
t = years
Step 1. (1500)(.045)(12) = $810 in interest
Step 2. $1500 + $ ...

Question 1

A. What is similarities and differences do you see between functions and linear equations studied in Ch. 3?

Functions and linear equations have elements which create straight lines when plotted on the graph. Both linear equation and a function are polynomial to the first degree. A linear equation and function have variables that are paired and separated by comma in a bracket. The variables are normally in form of x and y with each having one value. A linear equation is an algebraic expression having two variables with similar value while a function has only one variable. The major use of a function ...

Discussion Question

According to the classical definition, order of operations is a sequence of actions needed for the salvation of a mathematical problem. It defines which procedures should be performed first in order to receive a correct final result.

Simple order rules assume the next terms:

1) Calculation should be completed starting from the left,
2) Results in brackets should be done first, then go the exponents,
3) Multiplication and division should be done in the order as operations occur,
4) Addition and subtraction should also be done in the way the operations occur.

Example: 4* (10-5) +3.

1)10-5=5
2)4*5=20
3)20+3=23

Result: 23.

Any violation of the ...

Part A Difference between equation and expression

Expression

Equation

1. Do not contain equal signs
2. Formed by variables, mathematical operation signs, constants,
3. An expression can only be simplified
4. Variables in expressions do not represent specific constant values

An example of an expression

2n+1 or 3t+2

1. Contains an equal sign
2. Formed by letting the expression to represent a given number or being equivalent to another expression
3. An equation can be solved for a solution
4. For equations to be true, variables in equations represent certain constant values

An example of an equation

2n +1=3t + 2

...

Abstract.

This paper explores a detailed plan to promote achievement and success among the sixth grade middle school students in the math discipline. It focuses on the decreased mastery of this discipline among this target group. Looking at possible ways to improve the mastery of maths subject among the sixth grade students, the paper identifies the characteristics of this population, and explains why the population is any target of discussion. It outlines the problems the group is experiencing in details, and establishes ideas, theories and practises that can promote achievement and success among the sixth grade students in the mathematics discipline. ...

Introduction

Security systems are undergoing development with the development of cryptographic protocols that help to secure these communications channels. There have been extensive researches that have been carried out to come up with better security mechanisms that will secure information systems. A cryptographic protocol is a protocol which makes use of cryptography so that they are able to achieve their goals, these goals could include sending private or public keys over the network. There are protocols that are used for securing security systems. This paper will focus on two protocols, NRL analyzer and Bellare-Rogaway model (Tanenbaum, 2003).

NRL analyzer

How it works

It ...

Introduction

There have been several exciting developments in the fields of higher categories, quantum, and topology. This paper tries to best give the classification of extended 2-dimensional topological theories, with a potential for various future developments and applications. A topological quantum field theory (TQFT) is a factor between two specific categories, an algebraic category and a geometric category. The geometric category is classified as a bordisms (Joel, 1994). There is another such category for every non negative integer, d, leading to resulting in a notion of d-dimensional TQFT. The algebraic category is normally a vector-space category over a fixed ground of field. The categories have other structures.

Systematic Monodidal Bicategories

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