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Lecture 3

CMPSC 200 Lecture 3: CMPSC 200 Lecture 03 Outline

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Computer Science
Course Code
Bradley Sottile

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Sottile CMPSC 200 Programming for Engineers with MATLAB Lecture 03 Outline Related Reading: Chapter 2, 2.3.2; Chapter 3, 3.1 through 3.4 Array Operations 1) MATLAB stores arrays of data as matrices 1 2 2) A few equivalent statements to write =3 4 a. A = [1 2; 3 4] b. A = [1,2; 3,4] c. A = [1 2; 3 4] d. A = [1,2; 3,4] 3) The th row and th column of a matrix can be found as A(i,j). 4) Shortcut for creating a row of regularly spaced sets of numbers a. Start at a, increment in steps of b until you get to c b. a:b:c or [a:b:c](MATLAB accepts both notations; the first is preferred) c. If no b is indicated, default is a:1:b Built-in MATLAB Functions Part I 1) Common Math Operations a. Absolute value: abs(x) b. Square root: sqrt(x) (compare it against x^0.5) c. th root: nthroot(x,n) d. Sign or Signum Function : sign(x), which returns: i. 1 if the corresponding element of x is greater than zero ii. 0 if the corresponding element of x equals zero iii. -1 if the corresponding element of x is less than zero e. Remainder: rem(x,y) (remainder of divided by ) f. Powers i. Exponents: 5 10 calculated as 5*10^10, 5*(10^10) or as 5E10 ii. Exponential: exp(x) calculates g. Logarithms i. ln (): log(x) (tricky to remember many languages do this, though) ii. log (): log10(x) iii. Change of base formula to get others: og () = 2) Rounding functions a. Rounding: round(x) (default, to integers; see help documentation for options) b. Truncation: fix(x) c. Floor (rounds to nearest integer towards ): floor(x) d. Ceiling (rounds to nearest integer towards ): ceil(x)
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