Interactive Calculators
Computational tools for calculus and linear algebra. Graph functions, compute derivatives and integrals symbolically, evaluate limits, test series convergence, find eigenvalues, and reduce matrices — all with step-by-step solutions.
Graphing
Plot functions and visualize transformations.
Derivatives
Symbolic derivatives with chain, product, and quotient rules.
Integrals
Definite and indefinite integrals with standard techniques.
Limits
Evaluate limits including indeterminate forms.
Series
Convergence tests, partial sums, and power series.
Adaptive Workbook
Practice problems spanning Calculus 1 & 2 and linear algebra that adapt to your level.
3D Surface Plotter
Surfaces, partial derivatives, gradients, Taylor approximations, and double integrals.
Partial Derivatives
Symbolic partial and higher-order mixed derivatives with step-by-step solutions.
Multiple Integrals
Double and triple integrals with iterated-integral setup and numerical evaluation.
Coordinate Maps
Visualize transformations, compositions, and Jacobians on grids, circles, spheres, and cubes.
Vector Fields
Plot 2D vector fields, drop test particles, inspect curl & divergence, and compute line integrals.
RREF Calculator
Gaussian elimination to reduced row echelon form with step-by-step row operations.
Matrix Inverse
Find the inverse of 2×2 through 8×8 matrices using the augmented matrix method.
Determinant
Compute determinants via cofactor expansion (≤5×5) or row reduction (larger).
Eigenvalues
Eigenvalues via characteristic polynomial, eigenvectors via null-space computation.
Matrix Multiplication
Multiply any two compatible matrices with step-by-step dot product computation.
LDU Decomposition
Factor a square matrix into unit lower triangular, diagonal, and unit upper triangular matrices.
QR Decomposition
Factor any matrix into orthogonal Q and upper triangular R via Gram-Schmidt.
Custom Exam Builder
PROChoose topics from Calculus 1 & 2, Linear Algebra, or Multivariable Calculus. Study condensed notes and worked examples, then take a timed exam. The engine weights questions toward your weakest areas and tracks mastery over time with a topic heat map.
Start an exam →Covers
Notation
All expressions are typeset in LaTeX. Input supports standard mathematical notation.
Step-by-Step
Detailed solution breakdowns show each algebraic and calculus manipulation.
Practice
The adaptive workbook generates Calculus 1 & 2 and linear algebra exercises at your level and adjusts in real time.