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A comprehensive journey through the fundamental concepts of mathematics. From the nature of numbe...
The essential building blocks of math before algebra. Learn number systems, integers, fractions, ...
A comprehensive introduction to algebra covering variables, expressions, equations, inequalities,...
Laws of exponents and powers. Learn product rule, quotient rule, power rule, zero and negative ex...
The square roots, cube roots, and nth roots. Learn to simplify radicals, rationalize denominators...
Introduction to linear, compound, and absolute value inequalities. Learn to solve, graph, and app...
Fundamental concepts of functions: notation, domain, range, graphing, transformations, and compos...
Solving linear equations and inequalities. Learn one-step to multi-step equations, absolute value...
Solving systems of linear equations using graphing, substitution, elimination, and matrices. Esse...
Comprehensive guide to polynomials: operations, factoring techniques, and solving polynomial equa...
Quadratic equations: factoring, completing the square, quadratic formula, graphing parabolas, and...
Binomial theorem for expanding (a+b)^n. Learn Pascal's Triangle, combinations, and efficient expa...
Working with algebraic fractions: simplifying, operations, solving equations, and real-world appl...
Logarithmic and exponential functions. Learn properties, equations, graphing, and real-world appl...
Explain complex numbers from imaginary unit i to polar form. Learn operations, conjugates, De Moi...
Arithmetic and geometric sequences, summation notation, infinite series, and convergence. Essenti...
Introduction to function transformations including shifts, reflections, stretches, and compressio...
Learn to decompose complex rational expressions into simpler fractions. Essential for calculus in...
A comprehensive advanced algebra course covering quadratic equations, systems of equations, polyn...
A comprehensive exploration of geometry covering points, lines, angles, shapes, area, volume, tra...
Introduction to the building blocks of geometry: points, lines, planes, angles, and their relatio...
Angle types, measurements, and relationships including complementary, supplementary, vertical ang...
Explore triangle congruence, similarity, the Pythagorean theorem, and special triangle properties.
Congruent and similar figures. Learn triangle congruence criteria (SSS, SAS, ASA, AAS, RHS) and s...
Study parallelograms, rectangles, rhombi, squares, trapezoids, and their unique properties.
Introduction to the most famous theorem in mathematics. Learn proofs, Pythagorean triples, the co...
Explore interior and exterior angles, regular polygons, area formulas, and tessellations.
Introduction to circle properties including radius, chords, tangents, arcs, and sector calculations.
Introduction to sine, cosine, and tangent. Learn SOH-CAH-TOA, solve right triangles, and apply tr...
The essential formulas for calculating area and perimeter of 2D shapes. From basic rectangles and...
Calculate volume and surface area of prisms, pyramids, cylinders, cones, and spheres.
Apply algebra to geometry using the coordinate plane, distance, midpoint, and slope formulas.
Introduction to 3D geometry calculations including surface area and volume formulas for prisms, c...
Understand translations, reflections, rotations, dilations, and symmetry.
The essential theorems of circle geometry including inscribed angles, central angles, tangent pro...
Introduction to vector concepts for geometry including magnitude, direction, vector operations, p...
The art of mathematical reasoning with two-column proofs, paragraph proofs, and proof strategies ...
Introduction to the classical compass and straightedge constructions including perpendicular bise...
Discover the foundations of trigonometry including angles, radian measure, the unit circle, and t...
Apply trigonometric ratios to solve right triangle problems including SOHCAHTOA, angles of elevat...
Introduction to the unit circle as the foundation for trigonometric functions, including coordina...
Learn to graph sine, cosine, and tangent functions, understanding amplitude, period, phase shift,...
Fundamental and derived trigonometric identities including Pythagorean, reciprocal, quotient, and...
Learn to expand and simplify sin(A ± B), cos(A ± B), and tan(A ± B) using powerful addition and s...
Master the double angle formulas for sine, cosine, and tangent, with applications in simplificati...
Learn the half-angle formulas for sine, cosine, and tangent, enabling you to find exact values of...
Understand arcsin, arccos, arctan and their properties, domains, ranges, and applications in solv...
Master techniques for solving trig equations including factoring, identities, and finding all sol...
Learn to solve oblique triangles using the Law of Sines, including the ambiguous case (SSA) and r...
Master the Law of Cosines for solving triangles when given SAS or SSS, and understand its relatio...
Master the polar coordinate system, convert between polar and rectangular forms, and graph polar ...
Express complex numbers in polar/trigonometric form, multiply and divide using DeMoivre's theorem...
The foundational concepts of calculus. Learn how to evaluate limits, understand continuity, and a...
Fundamental concepts of differentiation. Learn the definition of derivatives, essential different...
Apply differentiation techniques to solve real-world problems. Master optimization, curve sketchi...
Advanced differentiation methods. Learn the product rule, quotient rule, chain rule, implicit dif...
Fundamentals of integration. Learn antiderivatives, integration rules, u-substitution, definite i...
Advanced integration methods. Learn integration by parts, trigonometric integrals, trig substitut...
Apply integration to solve real-world problems: area between curves, volumes of revolution, arc l...
A comprehensive introduction to linear algebra covering vectors, matrices, linear transformations...
Vector spaces with simple examples: 10 axioms, subspaces, span, linear independence, basis, dimen...
A comprehensive study of orthogonal vectors, orthonormal bases, projections, Gram-Schmidt process...
Introduction to eigenvalues, eigenvectors, characteristic equations, diagonalization, spectral de...
Introduction to SVD: the most important matrix decomposition in data science. Learn geometric int...
Matrix diagonalization: understand diagonalizable matrices, algebraic and geometric multiplicity,...
A comprehensive introduction to statistics covering data types, descriptive statistics, probabili...
A comprehensive introduction to engineering statics covering forces, equilibrium, moments, trusse...
A comprehensive study of motion, forces, energy, and momentum. Master kinematics, Newton's laws, ...
A comprehensive introduction to programming covering variables, data types, control flow, functio...
A comprehensive introduction to Java programming covering syntax, OOP principles, collections, ex...
Advanced Java concepts including generics, streams, concurrency, design patterns, JVM internals, ...
Introduction to the fundamental data structures and algorithms using Java. Learn arrays, linked l...
A comprehensive guide to C++ programming covering fundamentals, object-oriented programming, memo...
A comprehensive Python programming course covering fundamentals, data structures, functions, OOP,...
Introduction to HTML from the ground up. Learn document structure, text formatting, lists, links,...
CSS fundamentals from selectors to responsive design. Learn styling, the box model, positioning, ...
Advanced CSS techniques including Flexbox, Grid, animations, transforms, CSS variables, and moder...
CSS Flexbox from fundamentals to advanced techniques. Learn the flex container, item properties, ...
Bootstrap 5 from fundamentals to advanced components. Build responsive, mobile-first websites wit...
Tailwind CSS from fundamentals to advanced techniques. Learn the utility-first approach, responsi...
Introduction to JavaScript from the ground up. Learn variables, data types, functions, DOM manipu...
A comprehensive guide to Android development with Java. Learn to build professional mobile apps t...
Professional Android development techniques. This 10-section advanced guide covers Retrofit netwo...
Android UI development with XML layouts. This comprehensive 25-section professional guide covers ...
A comprehensive introduction to physics covering mechanics, energy, waves, thermodynamics, electr...
A comprehensive study of Newtonian mechanics covering kinematics, dynamics, energy, momentum, rot...
Introduction to the science of heat, energy, and entropy - from molecular motion to engines and b...
Explore the bizarre and beautiful world of quantum physics - wave functions, uncertainty, and the...
Discover the central science - from atoms and molecules to reactions and the periodic table.
Introduction to the chemistry of carbon - from hydrocarbons to complex biomolecules and reaction ...
Explore the chemistry of metals, minerals, and coordination compounds - from crystal structures t...
Bridge physics and chemistry - thermodynamics, kinetics, quantum chemistry, and statistical mecha...
A comprehensive introduction to neural networks and deep learning covering perceptrons, activatio...
Introduction to Convolutional Neural Networks covering architecture, convolution operations, pool...
Introduction to Recurrent Neural Networks covering sequential data processing, LSTM, GRU, bidirec...
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