89 quick-reference pages with worked examples, in 12 subjects. Browse by subject, or filter by the exam you are preparing for.
Differentiation rules, applications of derivatives, integration techniques and differential equations, with worked examples.
Chain Rule, Definite Integrals, Power Rule, Product Rule, and 17 more
Position vectors, vector products, direction cosines, and equations of lines and planes in space.
Operations on Vectors, Finding a Unit Vector, Projection of a Vector, Finding the Position Vector of a Point, and 6 more
Linear and quadratic equations, polynomials, exponents, logarithms, complex numbers, progressions, counting and probability.
Quadratic Equations, Surds and Radicals, Polynomials: Degree, Zeroes, Division and Factorising, Arithmetic Progressions, and 8 more
Divisibility, primes, HCF and LCM, fractions, ratios, percentages, profit and loss, and interest.
Divisibility Rules, Squares and Cubes Reference, Addition of Fractions, Percentage, and 6 more
Types of matrices, matrix operations, determinants, and solving systems of linear equations.
Operations on Matrices, Special Types of Matrices, Symmetric and Skew-Symmetric Matrices, Square Matrix Properties, and 2 more
Operations on sets, types of relations and functions, composition, and binary operations.
Types of Relations, Types of Functions, Binary Operation, Composition of Functions (gof and fog), and 1 more
Lines and rays, Pythagoras' theorem, and the area, surface area and volume of standard shapes.
Pythagoras Theorem, Line Segment, Ray, and Line, Area and Perimeter Formulas Reference, Surface Area and Volume Formulas Reference
Trigonometric ratios and identities, radian measure, inverse trigonometric functions, and solved examples.
Trigonometry Basics, Inverse Trigonometric Functions, Degrees and Radians
The photoelectric effect, de Broglie wavelength, interference and diffraction, plus a units reference.
Engineering Units, SI Prefixes and Decibels, Wave Optics: Young's Double Slit Experiment, Diffraction: Single Slit and Diffraction Grating, Photoelectric Effect, and 1 more
Laplace transforms, Fourier series, eigenvalues, partial differentiation and vector calculus for first-year engineering.
Laplace Transforms, Fourier Series, Eigenvalues and Eigenvectors, Partial Differentiation, and 1 more
Logic gates, Boolean algebra and the stack data structure, written for the GATE 2027 CS syllabus.
Kirchhoff's laws, Thevenin and Norton theorems, the PN junction diode, transistor biasing and op-amps.
Kirchhoff's Current and Voltage Laws, PN Junction Diode: Forward and Reverse Bias, Thevenin's and Norton's Theorems, Transistor Biasing, and 1 more
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