...Curriculum & Scheme of Examination APPLIED MATHEMATICS - I Course Code: BTC 101 Credit Units: 04 Course Objective: The knowledge of Mathematics is necessary for a better understanding of almost all the Engineering and Science subjects. Here our intention is to make the students acquainted with the concept of basic topics from Mathematics, which they need to pursue their Engineering degree in different disciplines. Course Contents: Module I: Differential Calculus Successive differentiation, Leibnitz’s theorem (without proof), Mean value theorem, Taylor’s theorem (proof), Remainder terms, Asymptote & Curvature, Partial derivatives, Chain rule, Differentiation of Implicit functions, Exact differentials, Tangents and Normals, Maxima, Approximations, Differentiation under integral sign, Jacobians and transformations of coordinates. Module II: Integral Calculus Fundamental theorems, Reduction formulae, Properties of definite integrals, Applications to length, area, volume, surface of revolution, improper integrals, Multiple Integrals-Double integrals, Applications to areas, volumes. Module III: Ordinary Differential Equations Formation of ODEs, Definition of order, degree & solutions, ODE of first order : Method of separation of variables, homogeneous and non homogeneous equations, Exactness & integrating factors, Linear equations & Bernoulli equations, General linear ODE of nth order, Solution of homogeneous equations, Operator method, Method...
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...Advanced Mathematics Mathematics Analysis: Series Limit, Calculus, General Theory of Series, Function Series and Power Series, Fourier series, Leaning Differential Coefficient, layer Integral, Curve Integral, Mapped Limit and Progression of Euclid Space. Advanced Algebra: Determinant, Linear Equation, Matrix, Linear Space, Linear Change, Euclid Space No.5 Descriptive Geometry and Mechanical Graphing Descriptive Geometry and Shadows, Perspective Drawing, Projection Standard, Axis Measure Chart Fundamentals of Architectural Design No.6 Building Materials This course teaches the nature, purpose, method of preparation and use, as well as civil engineering materials testing and quality control methods, and to understand the relationship between material properties and materials engineering structures, as well as ways to improve performance. Through this course, you should be able to reasonable selection of materials for different projects, and to work closely with the follow-up courses to understand the relationship between the material and the design parameters and construction measures chosen. No. 7 Metrology Construction Engineering Mechanics measure is specialized elective courses. Every stage of construction, are inseparable from survey work, should work as a pilot to measure. Therefore, any person engaged in engineering and construction technicians must master the knowledge and skills necessary measurements. Construction surveying measurements are an integral part....
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...Calculus From Wikipedia, the free encyclopedia This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem [show]Differential calculus [show]Integral calculus [show]Vector calculus [show]Multivariable calculus Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits,functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modernmathematics education. It has two major branches,differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change,[1] in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science,economics, and engineering and can solve many problems for which algebra alone is insufficient. Historically, calculus was called "the calculus of infinitesimals", or "infinitesimal calculus". More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus...
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...been nurtured in and exposed to the wonders of the world of mathematics. Because my father was the deputy director of the Institute o f Quantitative and Technical Economics at the Chinese Academy of Social Scie nces, during my childhood I was often surrounded by mathematical data, formu las and charts. As I grew older, I began to realize that by collecting and a nalyzing data and building mathematical models according to the data, my fat her had the power to forecast such grand concepts as the growth rate of the GDP (Gross Domestic Product). I was astonished by the power of mathematics a nd my curiosity drove me to read as many books as I could in the related fie ld. Gradually, I found that I had stepped into another world, a world of int elligence and aesthetics. I felt that it might be my destiny to probe this w orld. With self-confidence and my father's encouragement, I chose applied mathemat ics as my major in college. Thanks to the excellent faculty who guided me on my pilgrimage across the mathematical universe, my love for mathematics con tinued to bloom. In my analysis courses, I first met the continuous function under the definition of Cauchy. Then, my vision broadened to the Riemann in tegrable function space, which is composed of "almost" continuous functions. With the advent of the set theory, my vision again expanded to the measurab le function under the theory of the Lebesgue Integral. In my algebra courses , I was equipped with a powerful tool-...
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...engages in research with high socio-economic impact and reports on the results of such inquiries. The Institute brings to bear humanity's vast store ofknowledge on the problems ofindustry and community in order to make the Philippines and the world a better place. BASIC STUDIES EDUCATIONAL OBJECTIVES MISSION a b c d 2. 3. 4. To provide students with a solid foundation in mathematics, physics, general chemistry and engineering drawing and to apply knowledge to engineering, architecture and other related disciplines. To complement the technical trairung of the students with proficiency in oral, written, and graphics communication. To instill in the students human values and cultural rehnement tbrough the humanities and social sciences. To inculcate high ethical standards in the students through its intesration in the leamins activities. COIIRSE SYLLABUS 1. 2. 3. 4, 5. 6. Course Code: Course Title: Pre-requisite: M.ath22 Calculus 2 Math 21 None 3 units Co-requisite: Credit: Course Description: This course covers topics on dehnite and indefinite integrals of algebraic and transcendental functions, tecbniques of iutegration, applications of...
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...for free• Offer a price reduction on a product if another product is purchased. For example, buy a shirt and receive Rs.10 off a pair of jeans• Paired Set Discount: Offer a price reduction on an item if a certain quantity of another item is purchased. For example, buy three shirts and receive 30 % off a pair of jeans• Order Discount: Offer a price reduction or free shipping on the order total, if a certain amount is purchased. For example, buy Rs. 5000worth of merchandise, and receive 10 % off the total order. Banking: A system of trading in money which involved safeguarding deposits and making funds available for borrowers.* what is the use of mathematics in Banking •Bank is full of transactions. In turn the transaction is nothing but mathematics •Banks are also involved in stocks and bonds. Bond calculations are mathematical. Stock options are also quite mathematical Foreign Exchange market: The foreign exchange (currency) market refers to the market for currencies. Transactions in this market typically involve one party purchasing a quantity of one currency in exchange for paying a quantity of another. *What are the rates of exchange of currencies of different countries? Stock and Share: In business and finance, a share (also referred...
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...From Wikipedia, the free encyclopedia Jump to: navigation, search This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). | It has been suggested that Infinitesimal calculus be merged into this article or section. (Discuss) Proposed since May 2011. | Topics in Calculus | Fundamental theorem Limits of functions Continuity Mean value theorem [show]Differential calculus | Derivative Change of variables Implicit differentiation Taylor's theorem Related rates Rules and identities:Power rule, Product rule, Quotient rule, Chain rule | [show]Integral calculus | IntegralLists of integrals Improper integrals Integration by: parts, disks, cylindrical shells, substitution, trigonometric substitution, partial fractions, changing order | [show]Vector calculus | Gradient Divergence Curl Laplacian Gradient theorem Green's theorem Stokes' theorem Divergence theorem | [show]Multivariable calculus | Matrix calculus Partial derivative Multiple integral Line integral Surface integral Volume integral Jacobian | | Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change,[1]...
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...Calculus is the mathematical study of change,[1] in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally considered to have been founded in the 17th century by Isaac Newton and Gottfried Leibniz, today calculus has widespread uses in science, engineering and economics and can solve many problems that algebra alone cannot. Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". The word "calculus" comes from Latin (calculus) and refers to a small stone used for counting. More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, calculus of variations, lambda calculus, and...
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...ACKNOWLEDGEMENT This research paper would not have been possible without the guidance and the help of several individuals who in one way or another contributed and extended their valuable assistance in the preparation and completion of this study. First and foremost, my utmost gratitude to Dr. Nilo L. Rosas, President of the Philippine Normal University whose sincerity and encouragement I will never forget. Dr. Rosas has been my inspiration as I hurdle all the obstacles in the completion this research work. Dr. Norma J. Manaloto, former Head of the Department of Educational Management, Measurement and Evaluation, who until her day of retirement had kind concern and consideration regarding my academic requirements. Dr. Alice D. Dioquino, for her unselfish and unfailing support as my dissertation adviser; Engr. Alex A. Santos, co-adviser to Dr. Dioquino, for his patience and steadfast encouragement to complete this study; Dr. Danilo K. Villena, Head of the Department of Education Management and Measurement, for the moral support despite his just being newly appointed; Dr. Angelita D. Romero, Dean of the College of Education, for the insights she has shared; Dr. Florentina L. Gorospe, Dr. Jose Rizal Sanchez and Dr. Rebecca C. Nueva-Espa?a for their inputs especially in the curriculum part of this study. They have shared valuable insights in the relevance of the study to basic education not just in the technology sector. The staff of the PNU President’s Office especially...
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...reason than the fact that English language in Nigeria today is the language of text-books and the language of instruction in schools. When Students’ Proficiency in English Language is high, it will definitely affect and improve the academic performance of such students. Nevertheless, where the proficiency in English is lacking in any academic setting, it will definitely lower the academic performance of such students. [2] vehemently, revealed that lack of proficiency in English language is one of the factors contributing to poor performance in Mathematics. In his research, he observed that the performance of students in Mathematics’ examination at Senior Secondary School Certificate Examination (SSCE) is poor but further stated that the performance in English is more than that of Mathematics and this he linked to poor reading ability .He then suggests that there is need to improve the teaching of English language to improve Mathematics’ education. [17] in his work proved that competency in English significantly determines performances in intelligence or academic tests. The revelation above seem to suggest that mastery of English language is very importance even in students’ academic performances in intelligence tests, especially when it comes to the issues of Science and Technical education that involves a lot of laboratory and workshop practical in the acquisition of skills. Technical Education is an aspect of education, which leads to the acquisition of practical, basic scientific...
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...psychology in teaching and learning. However, a closer look at the nature and scope of learning and teaching and the essence of educational psychology clearly shows a relationship that can be best described as mutually integral. This means that there can never be effective educational programs outside educational psychology. This paper therefore seeks to establish the lucidity of the interconnection between the two. Background of the Study There have been arguments and counterarguments in favor of, and against the integrating of teaching practices with educational psychology. While proponents of this integration cite the gains that are to be realized from this fusion, opponents maintain that the cost of integrating the two is too high. These opponents maintain that inserting educational psychology disciplines into teaching college education is costly and makes this tertiary level of education laborious. The same group maintains that integrating educational psychology into teaching exercises is a peripheral undertaking and only makes teaching laborious and inundating. Literature review As many experts on education maintain, there are several roles that educational psychology play in training and teaching. Accordingly, other experts maintain that so inextricably integral is educational psychology to training and teaching that it is impossible to talk about effective training without educational training. The veracity behind this standpoint is underscored by the fact that, educational...
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...“One way to think about advancing STEM education is by improving the separate disciplines or incorporating a discipline currently not included, such as engineering” (Bybee, 2013, p. 82). However, the critical demand for evidence of increased learning requires a bold transformation in teaching practices. “A step beyond maintaining separate STEM disciplines requires consideration and a decision to advance STEM education by integrating the disciplines” (Bybee, 2013, p. 82). “Individuals learn best when the context within which they are learning has personal meaning—that is, learning is enhanced when it is related to something people recognize or know, or in which they have a personal interest” (Bybee, 2013, p. 84). Furthermore, “there is an efficiency that comes with combining the knowledge and skills of different disciplines, and there is limited time in school days and years. If lessons, courses, and school programs can attain learning outcomes of both content and processes of different disciplines, such as engineering and mathematics, that has benefit for teachers and students” (Bybee, 2013, p. 85). Therefore, students and teachers of Newsome Park Elementary stand to receive the greatest benefit from an integrated approach to STEM...
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...CURRICULUM OF GEOGRAPHY For 4 years BS & 2 years MS (Revised 2009) | | HIGHER EDUCATION COMMISSION ISLAMABAD CURRICULUM DIVISION, HEC Dr. Syed Sohail H. Naqvi Executive Director Prof. Dr. Altaf Ali G. Shahikh Member (Acad) Miss Ghayyur Fatima Director (Curri) Mr. M. Tahir Ali Shah Deputy Director (Curri) Mr. Shafiullah Deputy Director Composed by Mr. Zulfiqar Ali, HEC Islamabad CONTENTS 1. Introduction………………………………… 6 2. Aims and Objectives……………………… 10 3. Standardized Format for 4-years BS degree programme ………………………. 12 4. Scheme of Studies for BS …………………. 14 5. Details of Courses for BS …………………. 16 6. Elective Group Papers ……………………. 45 7. Scheme of Studies for MS Programme …. 48 8. Details of Courses for MS …………………. 50 9. Optional Courses Model……………………. 56 10. Recommendations …………………………. 61 11. Annexures A,B,C,D & E …………………… 63 PREFACE Curriculum of a subject is said to be the throbbing pulse of a nation. By looking at the curriculum one can judge the state of intellectual development and the state of progress of the nation. The world has turned into a global village; new ideas and information are pouring in like a stream. It is, therefore, imperative to update our curricula regularly by introducing the recent developments in the relevant fields of knowledge. In exercise...
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...excellence in all aspects of education. This has enabled me to acquire knowledge in various aspects of technology. Therefore, this has led me through a successful opportunity in the discipline of computer science and information. While I was in school, I acquired substantial information regarding how computers can be programmed and also used with the growth in technology. Since this period, my desire and fascination in computers and programming grew rapidly. When I joined secondary school, I learned various programming languages including C++ and HTML. This enabled me to conduct a presentation concerning these languages during the career day in the school. My fellow students were extremely amazed based on my understanding of the languages. After this session, I was utterly motivated to select computer science as a personal career. I was satisfied from the decision because, I usually enjoy acquiring new skills and information. In most cases, I use the acquired skills to enable my adaptation in the fast-changing world. This has also enhanced my interest in the innovation sector. According to my personal thinking, computer science would give me an incentive to improve personally and gain information. When I joined the University in Saudi Arabia, I was familiar with most of the freshman courses in the discipline of computer science and information. The facile nature of computers has even made it possible for me to gain more information in the study of computer science and information...
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...1. What types of mathematics does one need to know in order to do mathematical modeling? Beyond basic arithmetic, I do not think any type of math is absolutely mandatory to do mathematical model. The roller coaster problem, for example, could be modeled by using a simple weighted average to calculate a total thrill score based on whatever attributes of the coaster are determined important. The coasters could then be ranked. To make generalizable models that go beyond ranking a known individual items in a sample, an understanding of variables and by extension basic algebra would be needed. Many phenomena that we may want to model involve changes over a period of time. Oftentimes these changes can be best symbolized as rates. In these cases knowledge of calculus and differential equations would be useful....
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