10 MAT 21 Dr. V. Lokesha 2012 Engineering Mathematics – II (10 MAT21) LECTURE NOTES (FOR II SEMESTER B E OF VTU) VTU-EDUSAT Programme-16 Dr. V. Lokesha Professor of Mathematics DEPARTMENT OF MATHEMATICS ACHARYA INSTITUTE OF TECNOLOGY Soldevanahalli‚ Bangalore – 90 Partial Differential Equation 1 10 MAT 21 Dr. V. Lokesha 2012 ENGNEERING MATHEMATICS – II Content CHAPTER UNIT IV PARTIAL DIFFERENTIAL EQUATIONS
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Extra Class In Mathematics Practice Paper #2 September 2‚ 2010 1. If h(x) = 1 + 3x and k(x) = x +2 ( CXC 1999 # 5 ) evaluate: a) hk (x) b) hk(4) c) (hk)-1 (x) 5 marks 2. Given that : f : x 3 – x and g: x x + 2 x – 5 a) Calculate g(2) b) State the value of x for which g(x) is NOT defined c) Derive an expression for gf(x) d) Calculate the value of f-1 (4)
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JOHOR EDUCATION DEPARTMENT MINISTRY OF EDUCATION MALAYSIA ADDITIONAL MATHEMATICS PROJECT WORK 2013 SOLUTION OUTLINE PART A Monthly Income (RM) Number of Family Members Categories Allocation of Income (RM) Allocation of Income (%) 3000 6 Food 900.00 30 Utility 660.00 22 Transportation 450.00 15 Education 300.00 10 Recreation 150.00 5 Others 540.00 18 Total 3000.00 100 (i) Example : Pie Chart‚ Bar Chart and Line Graph. (ii) Mean METHOD 1 = RM
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Chapter 2: THE NATURE OF MATHEMATICS Mathematics relies on both logic and creativity‚ and it is pursued both for a variety of practical purposes and for its intrinsic interest. For some people‚ and not only professional mathematicians‚ the essence of mathematics lies in its beauty and its intellectual challenge. For others‚ including many scientists and engineers‚ the chief value of mathematics is how it applies to their own work. Because mathematics plays such a central role in modern culture‚
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Abstract: This paper discusses the mathematics of the Native Americans inhabiting the vast lands north of present-day Mexico. The mathematical accomplishments of the Central and South American indigenous people are not a focus. The development of the number words‚ the recurrence of certain numerical themes in the art and architecture are noted. The paper presents the numbers and math as required to keep the records of cyclical time and possessions amassed in the cycle. Also discussed is the symbolic
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The importance of mathematics to everyday life Written by Tuesday‚ 22 December 2009 10:30 - Even though Mathematics undoubtedly has universal applications to life and is an essential tool in science‚ technology‚ economics‚ business‚ commerce and of course in computer design and functioning there is a general tendency for people to shy away from it for various reasons-some feel it is too difficult while others do not see its practical connection to everyday life. Consequently‚ we find just
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How to organize a commentary – general tips Structurally‚ the commentary is similar to the essays you have written in the IB program. There is an introduction‚ a body‚ and (to a lesser degree) a conclusion. In your introduction‚ put the extract in context‚ present a central assertion‚ and indicate the main developments or thematic clusters of the passage you will discuss INTRODUCTION You may very briefly summarize the piece. What’s the occasion here? For pieces studied in advance‚ provide context
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w w w e tr .X m eP e ap UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level .c rs om ADDITIONAL MATHEMATICS 4037/01 Paper 1 May/June 2004 2 hours Additional Materials: Answer Booklet/Paper Graph paper (3 sheets) Mathematical tables READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet‚ follow the instructions on the front cover of the Booklet. Write your Centre number‚ candidate number and name on all the work you
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Period 6 Algebra 2 Honors class. I was born on August 14‚ 1997. I have lived in Moreno Valley for nearly ten years now. I live with my mom‚ stepdad‚ and younger sister‚ Jade. Before Moreno Valley‚ I lived in Hemet. The only languages I speak are English and Spanish‚ although I don’t like speaking Spanish in public. During my free time I like to listen to music‚ play Xbox and pc games‚ draw‚ read‚ and watch movies. As a student‚ grades are very important to me. I have never failed a class‚ and I
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Mathematics and other subjects shared a inherent relationship. They are interrelated with each other. Without mathematics‚ subjects like are physics‚ chemistry‚ geography‚ economics etc. are incomplete. It possess a variety of applications in connection with other subjects as follows: 1) In geography‚ it is used in weather prediction‚ impact of atmospheric change on aquatic and non-aquatic life. 2) In history‚ it is used to find out the time period from which various artifacts‚ scriptures belong
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