AIAA Design Engineers Guide Greek Alphabet - Algebra - cont - Trigonometry - cont | S-i 1 Contents Title Page Foreword Table of Contents Section 1 Mathematics Section 2 Section Properties Section 3 Conversion Factors Section 4 Structural Elements Section 5 Mechanical Design Section 6 Electrical Electronics Section 7 Aircraft Design Section 8 Earth Sea and Solar System Section 9 Materials and Specifications i iii V I 1 fe 3 E p al Section 1 MATHEMATICS i 3 Greek alphabet SI prefixes Algebra Trigonometry E. j. J Mensuration 3 Analytic geometry j Differential calculus 2 j Integral calculus Differential equations 6 3 Complex quantities Vectors fe 3 Some standard series Matrix operations ir 3 Determinants Curve fitting Small-term approximations e 3 fci3 Sj 3 0 3 d 3 J 3 4 3 1-2 MAA DESIGN ENGINEERS GUIDE Greek Alphabet A a Alpha N V Nu B ß Beta i Xi r 7 Gamma 0 0 Omicron A Ô Delta n 7T Pi E e Epsilon p P Rho z f Zeta E 0 Sigma H Eta T T Tau e e Theta T V Upsilon i i lota 4 0 Phi K K Kappa X X Chi A X Lambda Psi M Mu 0 Omega SI Prefixes Multiplication Factor Prefix Symbol 1 000 000 000 000 000 000 1018 exa E 1 000 000 000 000 000 1015 peta P 1 000 000 000 000 1012 tera T 1 000 000 000 109 giga G 1 000 000 106 mega M 1 000 103 kilo k 100 102 hecto h 10 101 deka da 10 1 deci d 10 2 centi c 10 3 milli m 001 10 6 micro M 000 001 10 9 nano n 000 000 001 10 12 pico P 000 000 000 001 10 15 femto f 000 000 000 000 001 10 18 atto a To be avoided where possible. Powers and roots IVIO I I 11 VI I w Algebra an a -a n factors Qm . Qn am n am n an am n an m amn aVn va- am n Vaæ 1 a n an a n an ab n anbn ia n a xTäb Vä Vb va Vb Zero and infinity operations a 0 0 a oo oo O-oo indeterminate 0 a a oo 0 0 T indeterminate oo -1 0 00 indeterminate a 00 oo a l 0a 0 0 indeterminate oo 8 oo O 0 indeterminate a-a 0 oo a oo 00 00 indeterminate a 00 if a2 1 a 0 if a2 1 a 1 if a2 1 a- 0 if a2 1 a- if a2 1 a-oc 1 ifa2 1 Binomial expansions a b 2-a2 2ab b2 a b 2 a3 3a2 b 3ab2 b2 a b A -aA .