Operators-and-Expressions

Operators-and-Expressions - Symbolic versus Numerical...

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Unformatted text preview: Symbolic versus Numerical Computation Operators Expressions in Mathematics and MATLAB Operators & Expressions Dhavide Aruliah Faculty of Science MATH 2070/2072 Symbolic versus Numerical Computation Operators Expressions in Mathematics and MATLAB Symbolic versus Numerical Computation Operators Expressions in Mathematics and M ATLAB Symbolic versus Numerical Computation Operators Expressions in Mathematics and MATLAB Symbolic versus Numerical computing: I A symbolic computation is a calculation that applies rules of algebra or mathematical identities to manipulate expressions involving symbols/variables into different expressions involving symbols/variables. The result is a symbolic expression . e.g., e- 3 2- e 3 = 1- 2 e 6 2 e 3 . I A numerical computation is a calculation that strictly involves arithmetic operations or function invocations applied numerical quantities; the result is a number . e.g., e- 3 2- e 3 =- 20.08049244. Symbolic versus Numerical Computation Operators Expressions in Mathematics and MATLAB Symbolic versus Numerical computing (cont).: I M APLE and M ATHEMATICA are symbolic computation programs (Computer Algebra Systems or CAS) I Programming languages like Fortran and M ATLAB are environments suited for numerical computation I Symbolic computations are exact I Numerical computations are approximate I Which is appropriate depends entirely on the context Symbolic versus Numerical Computation Operators Expressions in Mathematics and MATLAB Arithmetic Operators I Arithmetic operations are the simplest ones we know: (addition, subtraction, multiplication, division, and exponentiation) + Addition- Subraction * Multiplication / Division ^ Raising to a power I Arithmetic operators can be used to join together expressions to yield larger mathematical expressions Symbolic versus Numerical Computation Operators Expressions in Mathematics and MATLAB Order of Operations I Expressions are evaluated from left to right in order of 1. exponentiation ( ^ ) first; 2. division ( / ) next; 3. multiplication ( * ) next; 4. subtraction (- ) next; 5. addition ( + ) last I Parentheses are used to supercede this ordering: apply the rules above within the innermost parentheses first and...
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This note was uploaded on 02/23/2010 for the course MATH 2070 taught by Professor Aruliahdhavidhe during the Spring '10 term at UOIT.

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Operators-and-Expressions - Symbolic versus Numerical...

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