COURSE CODE EMATH07/MATE604 COURSE TITLE DIFFERENTIAL CALCULUS UNITS / TYPE 4/LEC INSTITUTION VISION STATEMENT FEU - East Asia College aims to be premier technology educational institution in the Philippines. INSTITUTION MISSION STATEMENT FEU - East Asia College commits itself to be an institution of quality education and relevant partnership with the larger community‚ producing competent and principled professionals who will contribute significantly to the betterment of society.
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in Physics (1921)‚ Time Magazine’s Person of the Century (1999) Einstein’s Contribution to Mathematics While Einstein was remembered for his contributions to physics‚ he also made contributions in mathematics. He contributed several equations to calculus and geometry‚ ten of which are called the Einstein Field Equations. He first published these equations in 1915. One of these equations demonstrates how stress-energy inflicts curvature of space-time. Born: Dec 25‚ 1642‚ in Woolsthorpe-by-Colsterworth
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contain the following four items: 1. Information Booklet Information on administrative matters‚ lectures‚ tutorials‚ assessment‚ syllabuses‚ class tests‚ computing‚ special consideration and additional assessment 2. Algebra Notes (for MATH1131/1141) 3. Calculus Notes (for MATH1131/1141) 4. Past Exam Papers Booklet Information booklet contents General Information Lecture and tutorial information . . . . Contacting the Student Services Office Assessment . . . . . . . . . . . . . . . Computing tests . .
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of calculus in real life by ?Samiul Ehsan (131-15-2200)“Nothing takes place in the world whose meaning is not that of some maximum or minimum.” --Leonhard Euler 3. What is calculus?? Calculus originally meant “mathematics”.? Derived from the Latin “calx” (counter) – ancient Babylonians would use pebbles to represent units‚ tens‚ hundreds‚ etc‚ on a primitive abacus.? Later‚ defined as measuring varying rates of change. 4. Calculus is everywhereThe differentiation and integration of calculus have
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After choosing a topic randomly‚ students will have 5 minutes to prepare before presenting their explanation for 5 minutes. 1. State the definition of the limit and explain the requirements for a limit to exist. Also‚ explain the 3 main techniques to evaluate limits. (Keywords: limit‚ intend‚ left‚ right‚ general‚ notation‚ 3 requirements‚ NAG‚ table‚ diagrams‚ indeterminate form‚ conjugate‚ factoring‚ substitution) The limit of the function is the height that the function intends to reach
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TI TI-89 / TI-92 Plus Calculus Tools Getting Started W hat is the Calculus Tools Application? Before You Begin Starting the Calculus Tools Application Calculus Tools Menus F1:Tools F2:Deriv F3:Integ F4:Seq F5:Vector F6:Advanced More Information Calculus Tools Application Functions 8/10/01 © 2001 Texas Instruments Important Information Texas Instruments makes no warranty‚ either expressed or implied‚ including but not limited to any implied warranties of merchantability
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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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