Absolute Error

When we do any calculations there are always chances of making mistakes, either we do addition, subtraction or anything, similarly when we measure height, distance or anything with the help of any measuring device there are chances of making a mistake so if we measure the same thing twice we may get different answers and this is due to the error in measuring. Error is not the mistake we have made because it does not give you the wrong answer. The uncertainty in measurement is termed as the error. There are many types of errors which occur in experimental studies.

1. Greatest possible error – This is the error we make when we do the approximation or rounding off to tenth, hundredth place.

2. Absolute Error– This is the error which occurs due to the inaccuracy in the measurement we do. Experimental scientists come across usually with this type of error. This is the amount of physical error we make in the process of measurement. Absolute Error Formula– It is usually denoted by delta x and is equal to difference between the calculated value and the actual value. Now How to Calculate Absolute Error or How to Find Absolute Error– We can find the absolute-error by finding the difference between the inferred value and the calculated value of the measurement. It usually signifies the uncertainty in the measurement process. For example: - If we find the length of stick as 1.09 centimeter though its actual length is 1 centimeter. Then the absolute-error that is delta x = Calculated value – Actual value which is 1.09 – 1 and that is equal to 0.09. Hence we can say that absolute-error is equal to 0.09. Absolute-error is always positive. Therefore we can call it as the absolute value of the difference of the two values which are the calculated value and the actual value.

3. Relative error – This type of error tells you about how good a measurement is relative to size of the thing which is measured. It expresses the ratio of absolute-error to the measurement that is accepted. This actually shows the relative size of the error of the measurement in relation to the measurement itself. The formula for calculating relative error is Relative error = Absolute error over accepted measurement.

Online Tutoring - A Real Time Learning

Online tutoring is emerging day by day due to its personalized learning sessions. These tutoring sessions are completely student driven, secured, flexible and affordable. Students can schedule a session on any subject with their tutor from the comfort of home.

A Beginning of Online Tutoring

Online tutoring came into existence with technological advancements. Learning new topics in a technology-oriented set up is quite fascinating for every student. It is the most comfortable form of learning a subject from any location. In this one-on-one learning program, students get maximum attention and ample time to clear their doubts from a preferred tutor. Online learning not only satiates student’s educational need but also make them confident during examination time. Apart from regular sessions, students also get homework and assignment assistance from an online tutor. This flexible learning program is specifically designed for K-12 grades. Moreover, a tutor covers all the topics that are being taught in the classroom session.

Why to Choose Online Learning Program

• Learning a subject from different locations and at convenient time is one of the notable features of virtual tutoring.
• All learning sessions are managed by qualified and experienced tutors.
• Every tutorial package is designed by keeping in mind the educational requirement and budget constraint of students.
• In a virtual classroom, every tutoring session is scheduled as per student’s availability.
• All queries of students are explained with the help of a whiteboard or through chat
• Regular assessment is done to improve students’ performance.
• Personalized attention, instant connection with tutors and curriculum based guidance is what an online learning program offers.

Make Learning More Interesting with Fascinating Features

An online learning service provides several interesting features, which keep students involved. Students can take unlimited tutoring sessions in safe and fun way. A whiteboard on a computer screen allow students to write their questions and get instant answers in a step-by-step manner. Apart from a whiteboard, a chat option and a real time audio also helps students to communicate with their tutor and get their doubts cleared in a better way. This personalized tutoring session improves students’ knowledge and also make them aware of new learning methods. Further, every learning session can be saved, replayed for revision purpose in a virtual classroom.

Instant Connection with a Tutor

Students can get an instant connection with an online tutor right from home. By using a broadband connection and a personal computer, a student can take a session on any topic from his or her favorite tutor. Along with this, a tutor also provide proper guidance to students during exams and while doing homework and assignment. Students who like to study alone and at their preferred time can opt for online learning program. This dynamic tutoring program is gaining importance worldwide due to its exciting learning tools and computer-integrated unlimited sessions.

Revise and prepare well before your exam with online tutors

Online tutoring – an innovative learning method

The demand for online tutoring has rapidly gone up in these highly competitive times. The advancement in new technologies makes this learning method more useful to students of different grades. Allied tools like the virtual whiteboard and an attached chat box allow students to communicate with their online tutors in a smart way. Due to these fascinating tools, online learning sessions can give the effect of face-to face sessions. Additionally  it is done in a safe web environment helping students concentrate on the subject. According to current research, online learning methods offer a modernized learning platform where students get better results by putting less effort. It has been observed that any student who gets individualized instruction performs better than a student who studies in a classroom environment.

The role of a online tutor

Online tutoring carries several positive aspects and most importantly, it constantly strengthens the students' learning skills and increases their self confidence. It helps students develop a positive attitude towards any subject. Apart from providing knowledge on different subjects, it helps students to improve their self esteem. All these are made possible due the remarkable assistance of online tutors who guide students as per their requirements. These well trained online tutors are available 24 x7. Due to these one-on-one learning sessions with expert tutors , students can tackle any learning problem smartly. These tutors provide a thorough understanding of any topic and also give comprehensible guidelines that help students score well in exams. They also assist in completing home work and assignments, on time.

The features of online learning sessions:

Few positive aspects are mentioned below and these explain why students should prefer to choose online  learning sessions to get good scores in exams:

(i) Broad Subject coverage is one of the main reasons behind the success of online assistance. With this service, students can opt for educational help on any topic of any grade.

(ii)  Online help is affordable compared to other learning methods. Students can select the topic as per their need and they are required to pay for the services they choose.

(iii) Experienced tutors and their 24 hours availability helps students achieve their goals.

Online tutoring – a helpful way to revise any topic before exams

Students feel anxious before their exams and also they need a quick revision to test their expertise in a particular subject. In that respect, online assistance is quite beneficial and effective as students can schedule their sessions at a convenient time. They can also clear their doubts step-by-step before exams. Online learning help gives students the confidence to handle exam hassles in a smart way.

Online math tutoring - Learn math with live examples

Learn Math in a virtual classroom from the best online tutors. With the help of a whiteboard and animated live examples, students can easily understand every difficult Math problem. Moreover, online math help provides free math worksheets in order improve students problem solving skills.

Online Math tutoring is a smart and comfortable way of learning the subject from any location. Many students struggle a lot in Math subject and score low marks. Online Math help is the ideal option to overcome the anxiety and stress, which students often face while solving Math problems. As we know, Math subject has high importance in varied field like Engineering, Science & Technology, Banking, etc. therefore it is important for every student to learn the subject thoroughly. Online tutoring gives enormous benefits and ample time to students to master the subject . This cutting-edge mode of learning has gained immense appreciation across the globe due to personalized and interactive learning sessions.

Online Math tutoring sessions come with a wide variety of teaching and learning tools like whiteboard, attached chat options, recorder, dashboard, etc. With the help of these tools, a student can select a topic, start a session with preferred tutor at convenient time. Along with this, students can communicate through chat option and clear their doubts from an online tutors who are available round the clock in a virtual classroom. Moreover, every tutoring session can be recorded and replayed by the students to revise the topic as many times as need and want.

Many websites make Math learning more informative for students with live examples. Every topic is well explained with the help of graphs or animations, which keep students involved more in a online learning session. Right from understanding the basic concept of Math to Algebra, Calculus,Geometry and Trigonometry, each topic is illustrated with animated examples to make the session more effective and influential for students. Online Math help not only enhance your problem solving skills but also keep a tab on your performance. Regular feedback from an online tutor can actually help a student to do better in the subject.

Learning Math with live example is quite enjoyable and beneficial for those students who face difficulty in understanding the subject. Every tricky sum is being solved by highly experienced online Math tutor so as to give a thorough understanding of the subject. In addition to this, some websites provide free worksheets and math quiz to make the Math subject more interesting for students. Online Math tutoring provides different ways of learning with the help of live examples, which helps students to understand the logic behind every math problem. It is a great assistance  for students who find Math subject boring and difficult.

System of Linear Equations

System of Linear Equations is a collection of linear equation  Systems of Linear Equations that involve two equations in two variables are simplest to deal.
Suppose there are two linear equation in x and y, then each equation will represent a line in x-y plane. A solution to these equations will be the point where these lines intersect. Thus the solution will be unique value of x and y. If the equations represent parallel lines then there will be no solutions to this system. If the Linear System of Equations contains same coinciding lines then the solutions will be infinite in number.

Any system of linear equation can have following conclusions: no solution, unique solution or infinitely many solutions. A linear system is consistent if it has at least 1 solution and is said to be inconsistent if it has no solution.
Suppose a linear equation is 2x+y=0. Then there will be infinite points satisfying this equation. Like (x, y) ={(1,-2),(0,0),(2,-4)… and many more}. Now suppose there is another line x-y=0, then solutions to this will be (x, y)={(0,0),(1,1),(2,2) and so on}. A common solution to these equations is x=0, y=0. This is hence solution of this system of equations.
We can search solution of more than two equations also by drawing graph of the equations also.

Method of Solving Systems of Linear Equations:
By substitution:
Let two equations are a_1x+b_1y=c_1 and a_2x+b_2y=c_2. Solve first equation for x:
 a_1x+b_1y=c_1  
a_1x=c_1–b_1y or x=(c_1–b_1y)a_1
Substitute this value of x in second equation to get:
a_2((c_1–b_1y)a_1)+b_2y= c_2
Now you get an equation in y. Solve for y. now put the value of y in any of the two equations to solve for x.
You can substitute value of y also from an equation and then substitute it in other equation.

Systems of Linear Equations Word Problems
Q.1) Cost of 2 chairs and 1 table is 1000 while cost of 1 chair and 3 tables is 1500. Find cost of each.
Solution) let cost of chair=x and of table=y.
2x+y=1000………(1)
x+3y=1500………(2)
From second equation: x=1500-3y
Substituting x in first equation = 2(1500-3y)+y=1000
3000-6y+y=1000
3000-1000-5y=0
2000=5y
y=(2000/5)=400
Putting y=400 in first equation we get: 2x+400=1000
2x=(1000-400)=600
x=600/2=300
Linear equation can also be solved by equating coefficients:
Equate coefficients of x by multiplying equation (2) by 2:
2x+2(3y)=2(1500)
Subtract this equation from (1):
   2x+y=1000
-(2x+6y=3000)
     0-5y= -2000
5y=2000
Y=400
Now put value of y in any equation.
You can equate coefficients of y also and then subtract the two equations to get value of x first.