Practice problems with worked solutions
322 problems across 11 courses, each solved in full by hand. Browse the problems free; start a trial to see the solutions.
Calculus I
101 practice problems
A first calculus course covering limits and continuity, the differentiation rules, and applications like related rates and optimization, finishing with antiderivatives and basic integration.
Calculus II
73 practice problems
A second calculus course covering the techniques and applications of integration, improper integrals, and sequences and series — from convergence tests through to power and Taylor series.
Calculus III
7 practice problems
A multivariable and vector calculus course covering functions of several variables, partial derivatives, multiple integrals, and the theorems of Green, Stokes, and Gauss.
Differential Equations
10 practice problems
A first course in ordinary differential equations covering first- and higher-order linear equations, Laplace transforms, systems, and numerical and qualitative methods.
Linear Algebra
31 practice problems
A first linear algebra course covering vector geometry, systems of equations, matrices and linear transformations, determinants, eigenvalues, and orthogonality.
Statistics
10 practice problems
An engineering probability and statistics course covering descriptive statistics, random variables and their distributions, sampling, estimation, hypothesis testing, and regression.
University Physics I
29 practice problems
A calculus-based introductory physics course covering equilibrium, kinematics, Newton's laws, momentum, and energy — the foundations of mechanics.
University Physics II
33 practice problems
A calculus-based physics course covering oscillations, waves, thermodynamics, and an introduction to special relativity and modern physics.
Statics
9 practice problems
An engineering statics course covering force systems, equilibrium of particles and rigid bodies, trusses and frames, internal forces, friction, and centroids.
Dynamics
10 practice problems
An engineering dynamics course covering rigid-body kinematics, kinetics, work-energy, and impulse-momentum methods.
Mechanics of Solids
9 practice problems
A mechanics of solids course covering stress and strain under axial, torsional, and bending loads, along with combined loading, stress transformation, beam deflection, and column buckling.