Ai Math Solver

SKILL.md

# AI Math Solver

Step-by-step solutions for algebra, calculus, geometry, statistics, linear algebra, differential equations, and discrete math. Covers high school to graduate-level problems.

## Core Capabilities

### 1. Algebra & Pre-Calculus
- Linear/quadratic/polynomial equations, systems of equations, inequalities
- Functions: domain, range, composition, inverse, transformations
- Sequences, series, binomial theorem, complex numbers

### 2. Calculus
- Limits, continuity, derivatives (chain/product/quotient rules)
- Integration techniques (substitution, parts, partial fractions)
- Multivariable calculus, vector calculus, differential equations

### 3. Linear Algebra
- Matrix operations, determinants, eigenvalues/eigenvectors
- Vector spaces, linear transformations, orthogonality
- Applications: least squares, SVD, PCA

### 4. Statistics & Probability
- Descriptive statistics, distributions, hypothesis testing
- Regression analysis, Bayesian inference, ANOVA
- Combinatorics, random variables, expectation

### 5. Geometry & Trigonometry
- Euclidean/analytic/coordinate geometry, conic sections
- Trigonometric identities, laws of sines/cosines
- 3D geometry, vectors, transformations

### 6. Discrete Mathematics
- Logic, set theory, relations, functions
- Graph theory, combinatorics, number theory
- Recurrence relations, generating functions

## Features
- Step-by-step derivation with explanations
- Multiple solution methods comparison
- Graph visualization guidance
- Real-world application context
- LaTeX formatting for clarity