University math
Calculus and Linear Algebra Practice — With Worked Solutions
1,538 problems across 7 courses, each with the full worked solution laid out step by step. Every one is generated and verified by a computer algebra system, so the answer on the page is the answer — not a plausible guess.
- 1,538
- worked problems
- 7
- courses
- 91
- skills
- 80
- formulas
Courses
- Calculus ISingle-variable calculus for engineers6 units · 21 skills · 361 problems
- Calculus IIIntegration, infinite series, and parametric models4 units · 13 skills · 209 problems
- Linear AlgebraVectors, matrices, vector spaces, and the transformations behind modern math.4 units · 12 skills · 210 problems
- Multivariable CalculusTake calculus into space: surfaces, partials, multiple integrals, and vector fields.4 units · 11 skills · 190 problems
- Differential EquationsModel change, solve initial-value problems, and read the dynamics behind the formulas.3 units · 10 skills · 172 problems
- Probability & StatisticsReason under uncertainty, model random outcomes, and turn samples into evidence.3 units · 10 skills · 169 problems
- Math FoundationsStart from zero: inputs, substitution, and the algebra moves every later course needs.5 units · 14 skills · 227 problems
Formula sheets
Not a bare list — each formula comes with what it means, the trigger that tells you to use it, and the mistake it invites.
- Numbers and operations
- Algebra building blocks
- Lines and graphs
- Limits and continuity
- What a derivative is
- Differentiation techniques
- Applications of derivatives
- Integration
- Applications of integrals
- Techniques of integration
- Sequences and series
- Parametric and polar
- Vectors and matrices
- Multivariable calculus
- Differential equations
- Probability and statistics
Questions people ask
- Is Nabla free?
- The first unit of every course is free in the app, and every worked problem on this site is free to read with no account.
- Are the solutions reliable?
- Every problem and every worked step is generated and checked by SymPy, a computer algebra system. A language model never decides what the right answer is — which is why the answers here do not drift.
- Which courses are covered?
- Calculus I, Calculus II, Linear Algebra, Multivariable Calculus, Differential Equations, Probability & Statistics, Math Foundations.
- Is this enough to pass my calculus exam?
- It covers the mechanics — the rules, the patterns and the traps, drilled until they are automatic. Pair it with your own course's problem sets, which is where the exam's phrasing comes from.