BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI - K.K. BIRLA GOA CAMPUS Mathematics-2 Tutorial–1

1. Use the Gaussian elimination method to solve each of the following systems of linear equations: (a) −5x1 − 2x2 + 2x3 = 14 3x1 + x2 − x3 = −8 2x1 + 2x2 − x3 = −3 (b) 3x1 − 2x2 + 4x3 = −54 −x1 + x2 − 2x3 = 20 5x1 − 4x2 + 8x3 = −83 2. Find the quadratic equation y = ax2 + bx + c that goes through the points (3, 18), (2, 9) and (−2, 13). 3. Use the Gauss Jordan method to determine the complete solution set for the given system, and give one particular nontrivial solution. −2x1 − 3x2 + 2x3 − 13x4 = 0 −4x1 − 7x2 + 4x3 − 29x4 = 0 x1 + 2x2 − x3 + 8x4 = 0 4. Prove that the following homogeneous system has a nontrivial solution if and only if ad − bc = 0: ax1 + bx2 = 0 cx1 + dx2 = 0 . 5. Find all values of a for which the resulting linear system has (a) no solution, (b) a unique solution, and (c)inﬁnitely many solutions. (i) x+y−z =2 x + 2y + z = 3 x + y + (a2 − 5)z = a (ii) x+y =3 x + (a2 − 8)y = a

6. Find an equation relating a,b and c so that the linear system: x + 2y − 3z = a 2x + 3y + 3z = b 5x + 9y − 6z = c is consistent for any values of a,b and c that satisfy that equation. 7. Show that if u and v are solution to the linear system Ax = b, then u − v is a solution to the associated homogeneous system Ax = 0. 8. If A is an n × n matrix, the homogeneous system Ax = 0 has a nontrivial solution if and only if A is singular. 9. Find all values of a for which the inverse of

1 1 0

A= 1 0 0 1 2 a exists. What is A−1 ? 10. For what values of λ does the homogeneous system (λ − 1)x + 2y = 0 2x + (λ − 1)y = 0 have a nontrivial solution?

...ACCG399 Tutorial 1 – Week 2
Thought Activity
Accounting, from my conception, is a system that provides quantitative information about finances. Unlike accounting, accountability is a responsibility to someone or for some activity. However, an accountant is an occupation who maintains and audits business accounts.
Have been studying in university nearly two years, I have come to some conclusions about accounting. Until now, the thing that I enjoy is in financial accounting, because it is need us to do a lot of calculating and to check some financial report, because they are interesting. The things I have found difficult and struggled are about some accounting theories and rules, that is a little bit hard for me to remember them and some formulas, especially some concepts of terminology, they will make international students confused. Actually, I am a more of mathematics person rather than a strategic one. When I do these things that I found confused, I may feel upset but I still struggled with it as I see it as a challenge, I must fight with it and defeat it. In the future, I will read more concepts in accounting learning, and I also prepare to read more textbooks due to that will help me learn the accounting and help to have a better understanding.
Leave for a couple of days and come back to the Thought Activity, I found there are some different to my opinion now. During this week’s recall, I found that ‘accounting’, ‘accountability’ and ‘accountant’ is not...

...the Learn Server.
VERY IMPORTANT: READ ALL OF THIS GUIDE
Semester 1
Lectures and Tutorials: Fridays (detailed timetable on pages 9 and 10 of this guide)
Lecturer & Tutor 1: Dr Lawrence A. Leger
Sir Richard Morris Building: Room BE 2.14
Email L.A.Leger@lboro.ac.uk
Telephone 222716
Office Hours: Mondays 09.30-11.30 (all wks), 14.30-15.30 (except wk 7).
Tuesdays 09.30-10.30 (except wk 7).
I am not available after week 7 except through email.
Otherwise by email appointment
Tutor 2: Paraskevi Katsiampa (Vivian)
Sir Richard Morris Building: Room BE
Email P.Katsiampa@lboro.ac.uk
Office Hours: TBA
Otherwise by email appointment
Tutor 3: Dr Marjahan Begum
Sir Richard Morris Building: Room BE
Email M.Begum@lboro.ac.uk
Office Hours: TBA
Otherwise by email appointment
Semester 2
Tutorials: TBA (Scheduled for individual groups)
Tutors: TBA
Transferable Skills
This module gives you the opportunity to develop skills that have very considerable value for both research and employment. These include:
Note-taking and analysis of papers
Working in teams
Using English language (oral and written)
Literature search
Making oral presentations
Formulating proposals for new research.
Reviewing published literature by constructive synthesis
Overview of Lectures and Tutorials
The module consists of lectures and tutorials, plus an assessed...

...of his ward than about his own children. Often, it is not uncommon to see a boy having more than one tuition master for each one of his subjects. Because he pays for the tuition, he looks down upon the poor teacher who is likely to lose his dignity.
But one fact that stands foremost is that tuitions cannot be thorough learning and at best there can only be nibblings of the learning process as the student has recourse for likely questions that may come in the examination through the tuition teacher.
In order to avoid the evils of private tuition, educational institutions themselves may arrange tutorial classes. If the regular teachers cannot attend to the tutorials special tutors may be appointed to attend to very small groups of needy students. Such contacts may help build confidence in the student. Such tutorial classes may be complementary as well as supplementary. The tutorial system when properly organised will go a long way to improve the efficiency of the student....

...1 Tutorial Schools, The Better Place to Learn?
It is not surprising to see hordes of students busy checking their shopping list at counters of tutorial schools. They pay more respect to the teaching materials offered by tutorial schools than those by their day time school. Are tutorial school so magical as thought by them? Can tutorial classes really help or they are just help use students' money? Lets explore the pros and cons of attending such schools.
To begin with, let us have an in-depth examination of the advantages of attending tutorial schools. One of the pros is that they help to alleviate the examination pressure. Due to the fact that many students consider revision of piles of notes and text books a huge and difficult task to them, notes which contain summaries of the syllabus are usually provided by tutors. With these materials, students can save a lot of time and effort in having revision .Some tutorial centers also use a variety of strategies to motivate students to study. For example, giving cash awards and special discounts. Under the circumstances, the tutorial courses can give a helping hand to the students to acquire subject knowledge in an easier way .
Another plus of the schools is that they enable students to get better exam results. When attending the lessons, various kinds of examination techniques are provided to students,...

...Title (Heading)
: Is attending tutorial classes a new trend?
Contents
Chapter 1 - Introduction Chapter 2 - Methodology 2.1 Choice of method 2.2 Classification of the studying target 2.3 Target group 2.4 Questions asked 2.5 Problems faced and solutions Chapter 3 - Literature review------------------------------------------------------------ -------------p 7 Chapter 4 - Findings and Analysis-------------------------------------------------------- -----------p 8 4.1 General information of the questionnaire 4.2 Details of the results
•
---------------------------------------------------------------------------p2 ---------------------------------------------------------------------------p 3
Analysis on the 3 kinds of tutoring Analysis on nowadays education systems
•
Chapter 5 – Conclusion----------------------------------------------------------------------------------p 18 Chapter 6 - Bibliography Appendix -----------------------------------------------------------------------------p 19
1
Chapter 1 Introduction
To most students, exams are detestable because they suffer greatly whenever an exam comes. Undeniably, examinations play such an important role in education of Hong Kong that they make students usually bury themselves among their books and notes during examinations. One way that students used to deal with exam is attending tutorial school. In recent years, tutorial schools have become popular among...

...teachers, fit for the job will be deployed by the business. The trust of the parents to the establishment is the prospect of the proponents so that patronage is maintained all throughout the elementary years of the tutee. 29
University of the Assumption Department of Accountancy Feasibility Study Market Survey for Tutorial Agency Greetings! We are fourth year accountancy students from the University of the Assumption working on our feasibility study for agency offeringtutorial services. Please help us through filling out this survey form. Kindly put a check mark on your answers. Thank you for your participation. Child’s Information Name: Address: School: Grade Level: Age: Gender: ___ Male ___ Female
Questions Related to the Study 1. Do you believe in the improvement that tutorials can bring to your child’s studies? ___ Yes ___ No
2. How many times in a week should a child take his/her tutoring session? ___ twice ___ weekdays ___ others, specify ___ thrice ___ weekends
30
3. How long should a child spend for each session? ___ one hour ___ three hours ___ two hours ___ others, specify
4. How much do you think should be paid for a one hour tutorial session? ___ P200 – P250 ___ P250 – P300 ___P300 – P350 ___ P350 – P400
5. Do you know tutors who are hired through an agency? ___ Yes ___ No
6. Do you have a current tutor for your child? ___ Yes 7. If yes, is the current tutor a teacher? ___ Yes 8....

...USE 0F SEMINARS AND TUTORIALS AS A STUDY STRATEGY
SEMINAR
A seminar is a small group meeting in which students and tutors discuss information on a chosen topic. They provide opportunity to explore topics by discussion and to identify and sort out any problem.
It’s a teaching-learning approach conducted as follows;
Students (experts) are given topics in advance to prepare for their seminar paper by researching
The seminar paper is presented orally
There is a session for the audience to ask questions, seek clarification and make comments on the presentation
The presenter then revises the seminar papers then submits for examination or publication
TUTORIALS
A teaching-learning approach that is more interactive and specific than a lecture. It consist of a small class where you can ask questions clarify what you have learnt, participate in activities and present a set of assignment
It’s normally organized by a lecturer or tutorial fellow.
It may be conducted as a follow-up of a previous lecture.
Students and lecturer exchange information through class presentation, asking questions and seeking clarifications.
Students are usually in smaller groups than usual lecture class.
They can be used as evaluation modes to establish if learning has taken place.
USES OF SEMINARS AND TUTORIALS
i. Create opportunities to explore topics in more depth.
ii. They share ideas in a way that would advance your thinking.
iii. They enhance...

...COURSE 2 - The Balance Sheet
The balance sheet (also called statement of financial position) reports the financial position of the business at a point in time. It does so by listing the categories and amounts of assets, liabilities and equity on a specific date, in a format that proves the fundamental accounting equation.
ASSETS = EQUITY + LIABILITIES
or
ASSETS – LIABILITIES = EQUITY
Formats of presentation
Regardless of the format for the presentation of the balance sheet, comparative information should always be presented; depending on national or regional requirements, the current year is compared with the previous year or with the last two years. In Europe, assets are disclosed in their increasing liquidity order and liabilities in their decreasing maturity order, while in the USA the opposite rule functions.
The notes should include details concerning the specific accounting policies used for the line-items presented in the balance sheet and sub-classifications to provide details of the their movement.
This balance sheet format makes a distinction between current and non-current assets and liabilities. Basically, current assets consist of cash and other assets that the enterprise will use in the normal course of its operating cycle. Similarly, current liabilities are those that the enterprise expects to...