Calculus & Mathematical Analysis

Path: math-researcher-teacher/domains/analysis-pde/calculus/

🔬 Core Capabilities

Provides rigorous symbolic computation for mathematical analysis using SymPy.

1. Limits & Continuity

• •Rigorous limit calculation ($\epsilon-\delta$ verification support via SymPy logic).
• •Asymptotic expansion (Taylor/Laurent series).

2. Differentiation & Integration

• •Symbolic derivatives (including partials).
• •Definite and improper integrals.

💻 Python Tools

symbolic_calc.py:

• •calculate_limit(expr, var, point)
• •calculate_derivative(expr, var)
• •calculate_integral(expr, var, [lower, upper])

🔗 Related Domains

• •Differential Equations: See domains/analysis-pde/differential-equations for ODE/PDE solvers.
• •Complex Analysis: See domains/analysis-pde/real-complex for contour integrals.