Symbols
π,
Newton's approximation of,
221
A
Absolute convergence,
205,
209Adding elements to lists,
294Algebraic expressions, operations on,
35,
37Algebraic manipulation,
4AlgebraicManipulation,
39Alternating harmonic series,
209Appalachian State University,
296Applying effects to a graphic,
89Approximating
π,
225Gauss–Legendre algorithm,
201Approximating solutions of equations,
104Arc length,
180parametric equations,
181B
BasicMathInput palette,
282Brigham Young University,
386C
Calculus,
Fundamental Theorem of,
168Calkin–Wilf sequence,
200Case Western Reserve University,
285Characteristic equation,
461,
476Characteristic polynomial,
366Coefficients, undetermined,
466College of Charleston,
444Composing functions,
53,
54Concatenating matrices,
338Conditional convergence,
205,
209Connecting points in a plot,
199Conservative vector field,
389Converges absolutely,
209Converges conditionally,
209Cooling, Newton's law of,
448Corresponding homogeneous equation,
446,
460Critical points,
locating and classifying,
277D
Derivative,
125parametric equations,
135Differential equation,
characteristic equation,
476corresponding homogeneous equation,
446,
460nth-order linear equation,
475 variation of parameters,
509Dirac delta function,
492Directional derivative,
235Dropping elements from lists,
294E
Equations,
approximating solutions of,
104Extracting elements of lists,
259F
First-order differential equation,
First-order linear equation,
446Fundamental set of solutions,
460Fundamental theorem of calculus,
168G
Gauss–Legendre algorithm,
201Gauss–Jordan Elimination,
351Georgia Technical Institute,
121Graphing,
connecting points in a plot,
199functions of a single variable,
47parametric curves in space,
79parametric surfaces in space,
79parametrically defined functions,
60H
Hermitian adjoint matrix,
373Homogeneous differential equation,
455Hyperbolic trigonometric functions,
30I
Identifying points in a plot,
7ImageAdjust,
90LaplacianGaussianFilter,
426Implicit differentiation,
129Inequalities, solving,
525InterpolatingPolynomial,
295Interval of convergence,
210Iowa State University,
252,
465Irrotational vector field,
390J
Jordan canonical form,
370K
Kansas State University,
471L
Lagrange multipliers,
246Laplacian,
390in polar coordinates,
307LaplacianGaussianFilter,
426Limits,
of functions of two variables,
231Line integral,
394fundamental theorem of,
394Linear systems,
Gauss–Jordan Elimination,
351Linear transformation,
364Linearly independent,
475Lists,
dropping elements from,
294extracting elements of,
259Literal equations, solving,
97Logarithmic functions,
30Louisiana State University,
410,
452M
Madhava–Leibniz series,
229Map,
43,
58,
77,
110,
117,
128,
160,
274,
506,
530Massachusetts Institute of Technology,
131Michigan State University,
117,
251Mississippi State University,
406Motion,
Newton's second law of,
450N
Newton's approximation of
π,
221Newton's Law of Cooling,
448Newton's second law of motion,
450Nonorientable surface,
405North Carolina State University,
231Northeastern University,
297Northwestern University,
195nth-order linear differential equation,
475
Numerical integration,
174O
Odd roots, graphing functions with,
56Odd roots of negative numbers,
28,
131,
143Ohio State University,
117Oklahoma State University,
513On-line Mathematica help,
21One-dimensional heat equation,
303Operations on,
algebraic expressions,
37Operations on algebraic expressions,
35P
Palette,
Algebraic Manipulation,
4Palettes,
12AlgebraicManipulation,
39Parametrically defined functions,
60Partial differential equation,
Partial differential equations,
Pennsylvania State University,
182,
184Points,
graphing and connecting with line segments,
58Predator–prey equations,
520Prime Difference function,
265Prime Number Theorem,
265,
267Princeton University,
105,
163Principal trigonometric values,
58Principle of Superposition,
539Q
R
Random number generator,
109Rational expressions, operations on,
38Recursively defined functions,
46,
229Reduced row echelon form,
338,
352Rensselaer Polytechnic Institute,
201S
Second derivatives test,
240Second law of motion, Newton's,
450Second-order linear differential equation,
460Separable differential equation,
439Solving,
trigonometric equations,
97Solving equations,
95,
104Solving inequalities,
213Superposition, Principle of,
539T
Table,
43,
46,
55,
86,
110,
122,
198,
259,
327,
530The Ohio State University,
199The University of Texas at Austin,
150Threadable functions,
128Trigonometric functions,
30Triple iterated integral,
256U
Undetermined coefficients,
466University of Alabama,
117,
401University of Alaska,
420University of Arizona,
257,
396University of Arkansas,
455University of California,
University of California Berkeley,
135University of California San Diego,
148University of California-Davis,
244University of California-Irvine,
254,
255University of Colorado-Boulder,
263University of Connecticut,
457University of Delaware,
300University of Florida,
242University of Illinois,
111University of Kentucky,
476University of Louisiana,
478University of Maryland,
177University of Massachusetts at Amherst colors,
266University of Minnesota,
189University of Missouri,
491University of Nebraska,
108,
497University of North Dakota,
506University of Notre Dame,
118,
274University of Oklahoma,
512University of Oregon,
393University of Pennsylvania,
217University of Rhode Island,
515University of Richmond,
443University of Rochester,
279University of South Carolina,
118,
520University of South Dakota,
527University of Southern California,
187University of Tennessee,
415University of Vermont,
391University of Washington,
239University of Wyoming,
542V
Van-der-Pol's equation,
514,
527Vanderbilt University,
287Vector-valued function,
235W
Washington University in St. Louis,
245West Virginia University,
535Y