Index

absolute, 47, 52, 202

acos, 45

acosh, 45

acot, 45

acoth, 45

acsc, 45

acsch, 45

addition, 21, 24, 25, 27, 28, 56, 63, 69, 72, 79, 83, 84, 89, 92, 110

algebra, 100

algebraic, 19, 25, 153, 155, 157, 159, 160, 162, 164

angle, 44, 57

approximation, 25

area, 36, 42, 117, 130, 142, 195, 196, 197, 244

argument, 10, 44, 45, 48, 117, 118, 123, 130, 169, 171, 244

arithmetic, 21, 23, 25, 31, 37, 47, 57, 69

array, 65, 85

asec, 45

asech, 45

asin, 45

asinh, 45

atan, 45

atanh, 45

axis, 140

backslash, 13, 157, 165, 263

base, 46

bracket, 65

calculus, 164, 167

Case, 119, 122, 126

case-sensitive, 33

ceil, 46

centigrade, 41

character, 31

characteristic, 104, 105, 113, 239

circle, 23, 36, 42, 117, 139, 150, 196, 197, 254

clear, 36

coefficient, 105, 113, 153, 154, 155, 157, 239

collect, 173

color, 32, 34, 138, 139, 147, 148

column, 14, 15, 17, 18, 19, 85, 86, 87, 88, 91, 99, 101, 106, 109, 113, 142, 145, 181, 224, 225, 229, 240, 241

Column, 16, 68, 144

Comment, 32

complex, vi, 43, 47, 51, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 80, 81, 95, 97, 104, 155, 162, 164, 205, 207, 208, 209, 210, 211, 223, 232, 234, 239, 242, 277

conjugate, 59, 64, 208

construct, 68, 119, 122, 123, 125, 126, 128, 131, 132, 247, 248, 249

contour, 147, 148, 151, 259, 260

convert, 44

coordinate, 47

cos, 9, 10, 43, 44, 48, 50, 59, 60, 74, 94, 140, 144, 169, 177, 199, 200, 202, 203, 204, 209, 210, 211, 219, 231, 255, 265, 267, 268, 269

cosecant, 44

cosh, 45

cosine, 43

cot, 44

cotangent, 44

coth, 45

csc, 44

csch, 45

cubic, 105

decimal, 22

decision, 119

degree, 44

derivative, 169

det, 11, 102

determinant, 102

diag, 101

diagonal, 17, 18, 20, 99, 101, 104, 106, 113, 183, 237, 240, 241

diagram, 141

diameter, 23

diamond, 139

diff, 168

differential, 173

differential equation, 173

differentiation, 167

digit, 22

division, 21, 24, 27, 56, 63, 71, 72, 73, 83, 91, 92, 93, 157, 184, 206, 218, 229

dot product, 72

double, 9, 35, 36, 39, 42, 49, 51, 62, 64, 81, 170, 175, 194, 195, 198, 204, 205, 211, 268

dsolve, 173, 175, 270

eig, 104

eigenvalue, 104

Elseif, 119, 122, 125, 126, 131, 247, 248

equations, v, vi, 12, 13, 14, 19, 91, 149, 153, 155, 156, 157, 159, 162, 163, 165, 166, 173, 174, 180, 262, 263, 265, 266, 272, 273, 274, 275, 276, 277

error, 66

evaluation, 168

execution, 118

exp, 45

expand, 173

expansion, 172

expm, 96

exponential, 43, 45, 50, 52, 63, 75, 95, 96, 97, 98, 111, 112, 201, 232, 233, 234

exponentiation, 16, 21, 22, 24, 27, 37, 63, 75, 76, 184, 185, 207

extension, 115

extract, 14

eye, 99

factor, 173

factorial, 43

fahrenheit, 41

file, 115

fix, 46

floor, 46

For, 119

format, 35

fraction, 39

fsolve, 159

function, 15, 20, 33, 43, 44, 45, 46, 47, 48, 52, 64, 75, 115, 117, 118, 123, 124, 125, 126, 128, 130, 131, 132, 136, 138, 139, 150, 167, 168, 169, 171, 173, 174, 175, 182, 192, 201, 202, 203, 211, 243, 244, 247, 248, 249, 250, 251, 254, 266, 267, 268, 269, 270

Gaussian elimination, 13, 14, 19, 157, 158, 165, 180, 263

gradient, 173

graph, 15, 20, 135, 136, 137, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 151, 182, 252, 253, 254, 255, 259

grid, 140

help, 11

hist, 141

histogram, 141

hyperbolic, 45

If, 119

imaginary, 55

implicit, 66

infinity, 45

inline, 167

inner product, 72

int, 169

integer, 66

integral, 169

integration, 167

inv, 102

inverse, 14, 102

label, 136

legend, 140

length, 66, 67, 69, 70, 71, 72

letter, 33

limit, 170

limitation, 45

linear, 153

linspace, 68

log, 46

log10, 46

log2, 46

logarithmic, 45, 46, 60, 63, 141, 203

logm, 97

logspace, 68

loop, 119

magic, 17, 20, 105, 106, 113, 183, 240

mathematical, 43

mathematics, 45

matrix, vi, 11, 12, 14, 18, 19, 20, 71, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 121, 127, 128, 129, 131, 132, 145, 146, 147, 148, 149, 151, 155, 156, 157, 158, 165, 178, 179, 180, 181, 182, 183, 216, 223, 224, 225, 226, 227, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 245, 250, 251, 258, 259, 260, 262, 271, 273, 274, 275

max, 67

maximum, 67

mean, 77

median, 77

mesh, 145

meshgrid, 146

message, 66

M-file, 115

min, 67

minimum, 67

mod, 46

multiplication, 21, 24, 27, 37, 56, 63, 71, 72, 73, 83, 90, 91, 92, 93, 110, 184, 206, 218, 229

natural logarithm, 46

negative, 55

nonlinear, 153

norm, 104

notation, 65

numel, 87

one-dimensional, 65

ones, 76

ordinary differential equations, 173

output, 116

perimeter, 23

pi, 23

pie, 141

pie chart, 141

plot, 15, 16, 17, 135, 136, 138, 139, 140, 142, 143, 147, 148, 149, 150, 151, 182, 252, 254, 255, 256, 258, 259, 260

plot3, 143

plus, 139

point, 139

polar, 142

poly, 104

polynomial, 104, 153

precedence, 24

prod, 172

product, 172

programming, 119

Punctuation, 33

quadratic, 154

quantity, 45

radian, 44

radius, 36, 37, 42, 117, 130, 196, 197, 198, 243

rand, 105

random, 77, 84, 105, 113, 221, 240

randperm, 77

range, 15, 77

rank, 105

real, 55

rectangular, 85

rem, 46

remainder, 43

root, 43

roots, 43, 153, 154, 155, 160, 164, 165, 261, 262

rose, 141

round, 46

rounding, 43

row, 15, 17

scalar, 9

scalar product, 72

script, 115

sec, 44

secant, 44

sech, 45

semicolon, 85

series, 171

sign, 23, 46

simple, 173

simplify, 173

simultaneous, 12, 19, 153, 155, 157, 159, 162, 163, 165, 166, 180, 262, 263, 265, 266

sin, 43

sine, 43

sinh, 45

size, 87

solution, 14, 36, 91, 149, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 173, 174

solve, 12, 13, 153, 154, 155, 157, 159, 160, 161, 162, 163, 165, 173, 263, 264, 265, 266

sort, 77

space, 65

sphere, 39

sqrt, 43

sqrtm, 95

square, 17

statistics, 141

string, 31

subplot, 142

subs, 173

subtraction, 21, 24, 27, 56, 63, 69, 72, 83, 89, 92, 93, 110, 114, 184, 206, 217, 227, 241

sum, 67

surf, 146

surfc, 149

Switch, 119

sym, 25

symbol, 55

symsum, 172

system, 14

tan, 44

tangent, 44

tanh, 45

taylor, 171

Taylor series, 171

three-dimensional, vi, 135, 143, 144, 146, 147, 149, 150, 151, 257, 258, 259, 260, 272

title, 16

trace, 103

transformation, 47

transpose, 101

triangle, 139

triangular, 102

trigonometric, 43

trigonometry, 45

tril, 102

triu, 102

tutorial, 9

two-dimensional, vi, 15, 85, 135, 142, 150, 252

underscore, 33

vector, 16, 18, 19, 20, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 120, 130, 136, 150, 153, 154, 155, 156, 179, 182, 212, 213, 214, 217, 218, 219, 220, 221, 222, 223, 245, 256, 257, 271, 274, 275, 277

volume, 38, 39, 42, 130, 198, 243, 244

While, 119

who, 34

whos, 35

window, 16

xlabel, 16

ylabel, 16

zero, 48

zeros, 76

zlabel, 144