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Foundation -Engineering Career - 2013 1 Building a Solid Foundation for Your Engineering Career Dr Sam Man Keong ( 岑文强 ) CEng, FIET, FSIET(F) Honorary Secretary Singapore Institute of Engineering Technologists Email: sammk1951@gmail.comsammk1951@gmail.com

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Foundation -Engineering Career - 2013 2 “Engineering : The Career Field That Improves Our Quality of Life.”

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Foundation -Engineering Career - 2013 3 Highlights About the Speaker – Dr Sam Man Keong Prepare for Engineering Mathematics. Engineering Aptitudes. Beyond Math and Science. Engineering Technology – An Alternate Choice. Resources for Building Skills. Q & A

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Foundation -Engineering Career - 2013 4 About the Speaker : Sam Man Keong ( 岑文强 ) A Self-directed Lifelong Learner for more than 40 years. Have gone through both non- traditional & traditional education routes. Chartered Engineer (UK/Ireland/Australia) Chartered Builder(UK) Chartered Environmentalist (UK) Chartered Mathematician(UK) Chartered Scientist(UK).

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Foundation -Engineering Career - 2013 5 Prepare for Engineering Mathematics Most Math is cumulative. – additional work to strengthen areas of weakness before moving on to more advanced classes in a college engineering programs. Algebra : Algebra for Dummies Calculus

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Foundation -Engineering Career - 2013 6 Some Mathematicians of Interest - Algebra Muhammad ibn Musa Khwarizmi (780 – 850) was a Persian mathematician, astronomer and geographer.Persian mathematicianastronomergeographer His Algebra, written around 820, was the first book on the systematic solution of linear and quadratic equations.Algebra linearquadratic equations

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Foundation -Engineering Career - 2013 7 Some Mathematicians of Interest - Algebra Blaise Pascal (1623 - 1662) was a French mathematician, physicist, and religious philosopher. mathematician physicistreligious philosopher Pascal's triangle.Pascal's triangle

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Foundation -Engineering Career - 2013 8 Some Mathematicians of Interest – Geometry (Euclidean) Euclid (fl. 300 BC, also known as Euclid of Alexandria), was a Greek mathematician and is often referred to as the Father of Geometry. He was active in Alexandria during the reign of Ptolemy I (323 BC – 283 BC). His work Elements is the most successful textbook in the history of mathematics.fl.Greek mathematician Geometry AlexandriaPtolemy IElements textbookhistory of mathematics

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Foundation -Engineering Career - 2013 9 Some Mathematicians of Interest – Geometry (Analytical) René Descartes (1596 – 1650), was a French philosopher, mathematician, scientist, and writer who spent most of his adult life in the Dutch Republic.French philosopher mathematicianDutch Republic Descartes' influence in mathematics is also apparent, the Cartesian coordinate system allowing geometric shapes to be expressed in algebraic equations being named for him. He is accredited as the father of analytical geometry. Cartesian coordinate system analytical geometry

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Foundation -Engineering Career - 2013 10 Some Mathematicians of Interest – Trigonometry Āryabha ṭ a (CE 476–550) is the first in the line of great mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. mathematicianastronomersIndian mathematicsIndian astronomy His definitions of sine, as well as cosine (kojya), versine (ukramajya), and inverse sine (otkram jya), influenced the birth of trigonometry. He was also the first to specify sine and versine (1 - cosx) tables, in 3.75° intervals from 0° to 90°, to an accuracy of 4 decimal places.sinetrigonometryversine Statue of Aryabhata on the grounds of IUCAA, Pune, India.IUCAAPune

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Foundation -Engineering Career - 2013 11 Some Mathematicians of Interest – Calculus Sir Isaac Newton, FRS (1643 – 1727 ) was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian and one of the most influential men in human history.FRSEnglishphysicist mathematicianastronomer natural philosopheralchemisttheologian His Philosophiæ Naturalis Principia Mathematica, published in 1687, is considered to be among the most influential books in the history of science, laying the groundwork for most of classical mechanics.Philosophiæ Naturalis Principia Mathematicahistory of science classical mechanics

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Foundation -Engineering Career - 2013 12 Some Mathematicians of Interest – Calculus Gottfried Wilhelm Leibniz (1646 - 1716) was a German philosopher and mathematician.German philosophermathematician He invented infinitesimal calculus independently of Newton, and his notation is the one in general use since then. He also invented the binary system, foundation of virtually all modern computer architectures. infinitesimal calculus Newtonnotation binary system

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Foundation -Engineering Career - 2013 13 Some Mathematicians of Interest – Laplace Transform Pierre-Simon, marquis de Laplace (23 March 1749 – 5 March 1827) was a French mathematician and astrono mer whose work was pivotal to the development of mathematicalastronomy and statis tics.mathematicianastrono merastronomystatis tics Laplace formulated Laplace's equation, and pioneered the Laplace transform which appears in many branches of mathematical physics, a field that he took a leading role in forming.Laplace's equationLaplace transformmathematical physics

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Foundation -Engineering Career - 2013 14 Some Mathematicians of Interest – Fourier Series Jean Baptiste Joseph Fourier (21 March 1768 – 16 May 1830) was a French mathematician and p hysicist best known for initiating the investigation of Fourier series and their applications to problems of heat transfer and vibrations.Frenchmathematicianp hysicistFourier seriesheat transfervibrations The Fourier transform and Fourier's Law are also named in his honour.Fourier transformFourier's Law Fourier is also generally credited with the discovery of the greenhouse effect.greenhouse effect

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Foundation -Engineering Career - 2013 15 Engineering Aptitudes All people have aptitudes. Natural talents, special abilities, and the capacity of learning to do certain things. Engineers: –Spatial visualization : 3D –Analytical reasoning : CDIO –Memory for design : engines, machinery, and equipment. –Mathematical ability : Computers

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Foundation -Engineering Career - 2013 16 Beyond Math and Science Curiosity Excellent communication skills Experience with teamwork and leadership Travel experience Knowledge of arts and literature Interests and hobbies – help provide the necessary background from which to draw the insight and creativity needed to solve engineering challenges.

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Foundation -Engineering Career - 2013 17 Engineering Technology – An Alternate Choice Engineering Technologists/Technicians : –The applications people on a team who work with engineers in the design process and often are heavily involved in implementation or ongoing maintenance of a project. Explore online : –www.abet.orgwww.abet.org –www.engc.org.ukwww.engc.org.uk –www.engineersaustralia.org.auwww.engineersaustralia.org.au –www.afeo.orgwww.afeo.org

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Foundation -Engineering Career - 2013 18 Resources for Building Skills Websites of Professional Bodies – Overseas (UK) : –www.ice.org.ukwww.ice.org.uk –www.theiet.orgwww.theiet.org –www.imeche.org.ukwww.imeche.org.uk Websites of Professional Bodies – Overseas (USA) : –www.asce.orgwww.asce.org –www.asee.orgwww.asee.org –www.nspe.orgwww.nspe.org

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Foundation -Engineering Career - 2013 19 Resources for Building Skills Websites of Professional Bodies – Singapore : –www.ies.org.sgwww.ies.org.sg –www.siet.org.sgwww.siet.org.sg Websites of Professional Bodies – Malaysia : –www.iem.org.mywww.iem.org.my –www.tam.com.mywww.tam.com.my

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Foundation -Engineering Career - 2013 20 Questions & Answers Thank You The CPD to Success: C :Courage 勇气 ; 胆量 P :Patience 忍耐 ; 耐性 ; Perseverance 毅力 ; 恒心 D :Determination 决心 ; 意志

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