𝔼 Eigenlab

Free Math & Physics Problem Generator

Generate unlimited practice problems with step-by-step solutions. Master calculus, algebra, physics, and more with personalized difficulty levels.

3 Difficulty Levels
100+ Math & Physics Topics
∞ Free Problems Generated
Start Eigenlab Free - Generate Problems Now β†’

100% Free β€’ No Credit Card Required

Quantum Mechanics Hard

Consider a particle in a 1D infinite potential well...

$$\psi_n(x) = \sqrt{\frac{2}{L}} \sin\left(\frac{n\pi x}{L}\right)$$

Why Choose Eigenlab?

Comprehensive practice problems with detailed solutions to help you master mathematics and physics

🎯

Free Math Problems

Generate unlimited practice problems from basic algebra to advanced calculus with detailed step-by-step solutions.

  • Algebra problems with instant solutions
  • Calculus problems from limits to integration
  • Geometry problems with visual explanations
  • Trigonometry problems with worked examples
  • Linear algebra and differential equations
⚑

Free Physics Problems

Generate physics problems from classical mechanics to quantum physics with comprehensive solutions and explanations.

  • Classical mechanics and dynamics
  • Thermodynamics and statistical mechanics
  • Quantum mechanics and atomic physics
  • Electromagnetism and circuits
  • Optics and modern physics topics
πŸ“Š

Test Prep Excellence

Perfect for SAT, ACT, AP, GRE, and competition preparation with adaptive difficulty levels and comprehensive coverage.

  • SAT math practice sections
  • AP calculus & physics preparation
  • GRE quantitative reasoning
  • Progress tracking and analytics

Master Every Subject

Comprehensive coverage across mathematics and physics

∫

Calculus

Limits, derivatives, integrals, multivariable calculus, vector calculus

𝔸

Algebra

Linear algebra, abstract algebra, group theory, ring theory

β–³

Geometry

Euclidean geometry, analytic geometry, differential geometry

ℝ

Analysis

Real analysis, complex analysis, functional analysis

β„•

Number Theory

Prime numbers, modular arithmetic, Diophantine equations

Ο„

Topology

Point-set topology, algebraic topology, differential topology

πŸ“Š

Statistics

Probability, hypothesis testing, regression analysis

⚑

Optimization

Linear programming, convex optimization, game theory

βˆ‚

Differential Equations

ODEs, PDEs, systems of equations, boundary value problems

πŸ’»

Numerical Analysis

Numerical methods, approximation theory, computational algorithms

πŸ’°

Financial Mathematics

Options pricing, risk management, stochastic calculus

πŸ•ΈοΈ

Graph Theory

Network analysis, algorithms, combinatorial optimization

🌌

Classical Mechanics

Kinematics, dynamics, Lagrangian and Hamiltonian mechanics

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Quantum Mechanics

Wave functions, operators, quantum systems, entanglement

πŸ”₯

Thermodynamics

Laws of thermodynamics, statistical mechanics, phase transitions

⚑

Electromagnetism

Electric fields, magnetic fields, Maxwell's equations, waves

🌊

Fluid Dynamics

Fluid statics, Navier-Stokes equations, turbulence

πŸ”¬

Modern Physics

Relativity, particle physics, quantum field theory, cosmology

Math Problem Generator

Generate practice problems with step-by-step solutions across all major mathematics topics. From basic algebra to advanced calculus, get the practice you need to master mathematical concepts.

Popular Math Topics:

  • Algebra: Linear and quadratic equations, polynomials, factoring
  • Calculus: Limits, derivatives, integrals, optimization
  • Linear Algebra: Matrices, eigenvalues, vector spaces
  • Geometry: Area, volume, proofs, coordinate geometry
  • Trigonometry: Identities, equations, graphing
  • Statistics: Probability, distributions, hypothesis testing

Physics Problem Generator

Practice physics concepts with problems ranging from classical mechanics to modern physics. Each problem comes with detailed solutions and explanations.

Popular Physics Topics:

  • Classical Mechanics: Forces, motion, energy, momentum
  • Thermodynamics: Heat, entropy, gas laws, cycles
  • Electromagnetism: Electric and magnetic fields, circuits
  • Quantum Mechanics: Wave functions, operators, uncertainty
  • Modern Physics: Relativity, atomic and nuclear physics
Start Practicing Free Now

Join students worldwide using Eigenlab to improve their understanding of mathematics and physics.

Simple, Transparent Pricing

Choose the plan that fits your learning goals

Free

$0 /month
  • βœ“ 5 problems per day
  • βœ“ All subjects & difficulties
  • βœ“ Advanced progress tracking
  • βœ“ Detailed analytics
Get Started Free

Student

$5 /month
  • βœ“ 20 problems per day
  • βœ“ All subjects & difficulties
  • βœ“ Advanced progress tracking
  • βœ“ Detailed analytics
Choose Student

Challenge Yourself at Any Level

Easy

Quick solution, minimal steps. Perfect for beginners and concept review.

Medium

Multi-step solutions requiring deeper understanding and application.

Hard

Extended time and creative problem-solving for advanced learners.

Who Uses Eigenlab?

πŸŽ“ Students

  • High school students preparing for advanced courses
  • Undergraduate students in STEM fields
  • Graduate students conducting research

πŸ”¬ Professionals

  • Educators looking for problem sets
  • Researchers brushing up on fundamentals
  • Engineers applying mathematical concepts
  • Anyone passionate about mathematical thinking

How Eigenlab Works

πŸ“š Wide Subject Coverage

Generate problems across mathematics and physics topics including calculus, algebra, quantum mechanics, and thermodynamics with varying difficulty levels.

🎯 Targeted Practice

Focus on specific topics where you need improvement. Choose your subject, difficulty level, and get personalized practice problems.

🧠 Step-by-Step Solutions

Every problem includes detailed explanations to help you understand the concepts and solution methods.

πŸ“ˆ Track Progress

Monitor your learning with built-in progress tracking to identify strengths and areas for improvement.

Frequently Asked Questions

What subjects are covered?

We cover Pure Mathematics (algebra, calculus, geometry, analysis), Applied Mathematics (statistics, optimization, differential equations), and Physics (mechanics, thermodynamics, quantum mechanics, electromagnetism).

What difficulty levels are available?

We offer three difficulty levels: Easy (quick solutions), Medium (multi-step problems) and Hard (extended problem-solving).

Can I save problems for later review?

Yes! You can save any generated problem to your personal library for future reference and practice.

How detailed are the explanations?

Our explanations provide step-by-step solutions with reasoning behind each step, helping you understand both the method and the underlying concepts.

Practice Using Eigenlab - Start Free Today!

Join thousands of students improving their math and physics skills with unlimited practice problems and step-by-step solutions.

100% Free β€’ Unlimited Problems β€’ No Credit Card Required