6 27 expression sequences

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Unformatted text preview: Sequences . . . . . . . . . . . . . . . . . Lists . . . . . . . . . . . . . . . . . . . . . . . . . . . Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . Operations on Sets and Lists . . . . . . . . . . . . . Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . Tables . . . . . . . . . . . . . . . . . . . . . . . . . . Strings . . . . . . . . . . . . . . . . . . . . . . . . . . Expression Manipulation . . . . . . . . . . . . . . . . The simplify Command . . . . . . . . . . . . . . . The factor Command . . . . . . . . . . . . . . . . . The expand Command . . . . . . . . . . . . . . . . . The convert Command . . . . . . . . . . . . . . . . The normal Command . . . . . . . . . . . . . . . . . The combine Command . . . . . . . . . . . . . . . . The map Command . . . . . . . . . . . . . . . . . . . The lhs and rhs Commands . . . . . . . . . . . . . The numer and denom Commands . . . . . . . . . . . The nops and op Commands . . . . . . . . . . . . . Common Questions about Expression Manipulation Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 23 24 25 27 31 32 33 33 34 35 36 36 37 38 39 39 40 41 42 43 43 43 43 45 47 48 49 51 53 54 55 58 58 58 59 59 60 61 62 3 Finding Solutions In This Chapter . . . . . . . . . . . . . . . . . . 3.1 The Maple solve Command . . . . . . . . . . . Examples Using the solve Command . . . . . . Verifying Solutions . . . . . . . . . . . . . . . . . Restricting Solutions . . . . . . . . . . . . . . . . Exploring Solutions . . . . . . . . . . . . . . . . . The unapply Command . . . . . . . . . . . . . . The assign Command . . . . . . . . . . . . . . . The RootOf Command . . . . . . . . . . . . . . . 3.2 Solving Numerically Using the fsolve Command Limitations on solve . . . . . . . . . . . . . . . . 3.3 Other Solvers . . . . . . . . . . . . . . . . . . . . Finding Integer Solutions . . . . . . . . . . . . . Finding Solutions Modulo m . . . . . . . . . . . Solving Recurrence Relations . . . . . . . . . . . 3.4 Polynomials . . . . . . . . . . . . . . . . . . . . . Sorting and Collecting . . . . . . . . . . . . . . . Mathematical Operations . . . . . . . . . . . . . Coefficients and Degrees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Contents • v 3.5 3.6 3.7 Root Finding and Factorization . . . . . . . . . . . . . . . Calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . Solving Differential Equations Using the dsolve Command Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . 63 65 71 77 79 79 79 80 82 82 87 87 88 94 96 98 101 102 103 103 103 103 104 104 106 108 111 112 114 116 118 119 121 121 124 125 126 127 128 4 Maple Organization In This Chapter . . . . . . . . . . . . . . . 4.1 The Orga...
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This note was uploaded on 08/27/2012 for the course MATH 1100 taught by Professor Nil during the Spring '12 term at National University of Singapore.

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