100+ Free EJU Mathematics Course 2 Practice Questions

Functions, Equations, and Trigonometry

Function values, domain, inverse and composite functions, rational and irrational functions, logarithmic and exponential equations, quadratic functions, trigonometric identities, special angles, double-angle equations, and graph interpretation

Limits and Differential Calculus

Limits of sequences and functions, continuity, standard trigonometric and exponential limits, derivatives, product and quotient rules, chain rule, derivatives of inverse, trigonometric, exponential, and logarithmic functions, nth derivatives, tangent lines, extrema, velocity, acceleration, and linear approximation

Integral Calculus

Indefinite and definite integrals, substitution, integration by parts, polynomial and trigonometric integrals, area between curves, volume by rotation, and curve length in the style of Mathematics II and Mathematics III applications

Vectors and Coordinate Geometry

Vector operations, components, scalar multiplication, inner products, angles, orthogonality, projections, vector equations of lines, line intersections, distances in plane and space, and spatial vector reasoning

Complex Plane and Analytic Geometry

Complex arithmetic, conjugates, modulus, polar form, De Moivre's theorem, complex roots, complex loci, ellipses, parabolas, hyperbolas, asymptotes, parameterization, polar coordinates, and polar equations

Sequences, Probability, and Statistics

Arithmetic and geometric sequences, finite and infinite series, recurrence relations, expected value, variance, standard deviation concepts, covariance, correlation coefficient, binomial distributions, conditional probability, and transformations of random variables