arith n |
Generate n numbers of basic arithmetic problems. 1 <= n <= 8 |
expand n |
Expand n binomials algebraically. 2 <= n <= 5 |
derive n |
Generate a polynomial of degree n and take the derivative of it. 1 <= n <= 5 |
int poly n |
Generate a polynomial of degree n and evaluate the integral of it. 1 <= n <= 5 |
int [arctan | invtan] |
Generate an integral that involves arctan as the final answer. |
int [arcsin | invsin] |
Generate an integral that involves arcsin/arccos as the final answer. |
int sincos |
Generate an integral that involves sine and cosine multiplied together. |
int sectan |
Generate an integral that involves secant and tangent multiplied together. |
int trigsub |
Integral trig substitution problem. |
int ibp1 |
First type of integration by parts problem, such as (e^x)sin(x). |
laplace n |
Apply the laplace transform to a given expression. There will be n terms generated. 1 <= n <= 5 |
pfrac |
Generate a partial fractions problem. |
pseries |
Generate a p-series convergence test. |
dct |
Generate an infinite series that one can use either Direct Comparison or Limit Comparison tests. |
rationalseries |
Generate an infinite series of a rational function. |
matmul |
Generate two 2x2 matrices and perform matrix multiplication on them. |
matsys n |
Generate an augmented matrix that represents a linear system of n variables. 2 <= n <= 5 |
psys |
Generate a 2x2 matrix and find its eigenvalues and eigenvectors. Then interpret the matrix in the context of differential equations. |
odeauto n |
Generate a first order autonomous differential equation with n stationary points and analyze the equation's behavior. 1 <= n <= 4 |
ode2 |
Generate a second order constant coefficient differential equation. |