CE1008/CZ1008: Engineering Maths CPE103/CSC103: Maths I/Foundation Maths Course Introduction 2012-2013 Semester 2 i-1 What is CE1008/CZ1008 Engineering Maths? Academic Unit: 3 AU Syllabus: • Calculus • Probability & Statistics Calculus: Probability & Statistics: • Notion of a Limit • Differentiation and Applications • Integration and Applications • Differential Equations and Applications • Descriptive Statistics • Probability Theory • Probability & Sampling
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Mathematicians of the 17th Century Jacob Bernoulli (also known as James or Jacques) (27 December 1654/6 January 1655 – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He became familiar with calculus through a correspondence with Gottfried Leibniz‚ then collaborated with his brother Johann on various applications‚ notably publishing papers ontranscendental curves (1696) and isoperimetry(1700‚ 1701). In 1690‚ Jacob Bernoulli became the first person to develop
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Single payment computations Compound amount Present value Effective interest rate 5 Annuities: Future value and present value The sum of an annuity Determining the size of an annuity Present value of annuity Mortgages 6 The Calculus Limits of a function Properties of limits and continuity Average rate of change and instantaneous rate of change 7 Differentiation Rules of differentiation Instantaneous rate of change interpretation 8 MID TERM EXAM 9
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5. Infinite integrals: Antiderivatives and infinite integrals‚ substitution rule‚ integration by parts. 6. Definite integrals: Definition and properties of definite integral‚ criteria of existence of definite integrals‚ fundamental theorem of calculus‚ substitution rule‚ integration by parts‚ improper integrals. 7. Applications of differentiation and integration: Maximum and minimum values‚ curve sketching‚ arc length and differential of arc length‚ curvature‚ applications of integration. 8
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Scientific Biographies. New York: Scribners‚ Volume 3‚ 1971‚ p. 131-147. 2. “Augustin Louis Cauchy”. Wikipedia Encyclopedia.. 3. Grabiner‚ Judith V. “The Origins of Cauchy’s Rigorous Calculus.”Massachusetts: The MIT Press‚ 1981. 4. Grabiner‚ Judith V. “Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus.” The American Mathematical Monthly‚ Vol. 90‚ No. 3 (Mar 1983)‚ 185-194. 5. “Mathematical Analysis”. Wikipedia Encyclopedia. . 6. O’Connor‚ J.J. and Robertson‚ E.F. “Augustin Louis
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FLORIDA ATLANTIC UNIVERSITY All courses are three (3) credits unless otherwise indicated. Course selections should be made in consultation with an academic advisor. PRE-PROFESSIONAL ENGINEERING PROGRAM (2013-2014) College of Engineering & Computer Science FOUNDATIONS OF WRITTEN COMMUNICATION (Gordon Rule Writing (GRW)‚ 6 credits required) (A grade of “C” or higher is required in each course) ___ ENC 1101 ............. College Writing I (REQUIRED) ___ ENC 1102+ ........... College Writing
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1. Physical Properties of Water and Ice 1. Molecular Weight: A. 18.01528 g/mol Water‚ Molar mass Triple Point The temperature and pressure at which solid‚ liquid‚ and gaseous water coexist in equilibrium is called the triple point of water. This point is used to define the units of temperature (the kelvin‚ the SI unit of thermodynamic temperature and‚ indirectly‚ the degree Celsius and even the degree Fahrenheit). As a consequence‚ water’s triple point temperature is a prescribed value rather
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Astronomy (Jyothissaasthram) was popular in Kerala even in ancient times‚ and their deep knowledge in that branch of science is well-known. A number of great treatises (Grantham) were written by several eminent scholars (most of them Namboothiri Brahmins) of the area at different times. It is difficult to date some of the very ancient ones such as "Devakeralam"‚ "Sukrakeralam" (also known as "Bhrigukeralam"‚ "Kerala Rahasyam" or "Keraleeyam" and has 10 chapters)‚ "Vararuchi Keralam” and "Keraleeya
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of Scientific Biography). Wallis made contributions to trigonometry‚ calculus‚ and geometry; he was determined to learn and be conducive to all aspects of mathematics. Wallis was known for many of his books‚ and discoveries in math‚ but his most important contribution to the development of Calculus would be his contributions to integral calculus. Wallis development of standard notation for power is very beneficial for calculus; It helps us convert square roots into exponential form‚ helps to convert
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Calculus is the mathematical study of change‚ and real-life things that change are modeled by functions. Precalculus is essentially the study of functions‚ with a few other related topics that supplement the study of functions and prepare students for calculus. In this text we’ll concern ourselves first with learning about general functions‚ and later with certain types of common functions with special properties‚ like polynomial‚ exponential‚ logarithmic‚ and trigonometric functions. First‚ it is
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