4.Nepal Mathematics Centre(NMC-ANMA)

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A chorst course on Curve sketching NMC-ANMA Joint programme

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NMC ∫ ANMA Nepal Mathematics Centre/ And Association of Nepalese Mathematicians in America A Joint Effort A Short Course In Curve Sketching May 2011

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SOMETHING NON-MATHEMATICAL AND SOMETHING MATHEMATICAL

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The Milky Way or The spiral galaxy

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TECHTONIC MOVEMENT Formation of Continents

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All Time Experiences

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Early Interests in Curves

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The Fighting Cats, which is about 10,000 years old, is in serious danger of crumbling to pieces (LibyanSahara-Prehistoric Art)

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Bhimbetka rock painting (India) Stone Age Painting

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Megalithic Art from Newgrange showing an early interest in curves (New Stone age)

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Paleolithic Bulls and Other Animals Crowd Calcite Walls (Lascaux, France )

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Primitive Abstract Rock Art Forms Most common cave and rock arts found in widely separated locations on different continents Small Circles, Specks, Clusters Large Circles and Lines Zig Zags , Wayv Lines, Concentric Circles, Broken Lines Honeycombs, Grids, Networks, Amorphous areas Wavy Lines, Stars, Lines, Rotations

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Three Headed Seal , Indus Civilization

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Harrapan Plate , Indus Civilization

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A plate from Nepal, the decoration show a saucer - like shape and a large headed humanoid . (ca.3000 B . C . )

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Kalachakra Mandala

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The Silk Road extending from southern and eastern Europe through Egypt , Somalia , the Arabian Peninsula , Iran , Central Asia , Ancient India , Java-Indonesia , and Vietnam until it reaches China . The land routes are red, and the water routes are blue .

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Historic painting of Swayambhu Nath Temple and its vicinity (Artist unknown) Image by Daniel Wright

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Swayambhu Temple Today

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Slide 4 Intercepts on the Axes y-intercept x-intercept

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No x-intercept

Is a butterfly symmetrical?: 

Is a butterfly symmetrical ?

D I S A I M I S: 

O M A I N N T E R C E P T S Y M M E T R Y S Y M P T O T E S N T E R V A L S A X M I N N F L E C T I O N K E T C H D I S A I M I S Basic elements of Curve sketching (In A Nutshell )

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x y O (0, 1) Step Two x- intercepts: y = 0  x   .7 and  2.7 Range: x = ±   y =  .7 2.7 - .7 -2.7 CURVE SKETCHING ? + + + + + + + + + + + + + + -2 2 -3 Step One Domain: x : -  to +  0 y-intercept x = 0  y = 1 -  + 

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M C S C

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COUNCIL S O C I E T Y Mathematics CENTRE

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Thanks Bye