Showing 12 results
Polar Area Between Curves
Polar coordinate area calculator for enclosed regions between two curves. Computes ½∫(R²−r²)dθ via Simpson's rule with adjustable α and β bounds. Visualizes Circle vs Cardioid, Rose vs Circle, Limaçon vs Circle, and dual Rose comparisons.
Integration by Parts: Tabular Method
Step-by-step Tabular (Tic-Tac-Toe) Method for Integration by Parts with diagonal product visualization, alternating signs, and LIATE selection rule. Covers polynomial×exp, polynomial×trig, logarithmic, and cyclic eˣ·sin(x) cases.
The French Revolution Interactive Timeline
Interactive 5-phase timeline of the French Revolution (1787–1804) with 28 key events. Covers Ancien Régime crisis, Constitutional Monarchy, Radical Terror, Thermidorian Reaction, and Napoleon's rise. AP significance annotations, key figures panel, and Enlightenment influences.
The Industrial Revolution
Comprehensive Industrial Revolution module with D3 urbanization chart showing Britain's transformation 1750–1950. Sections on key inventions, labor and social impact, and spread across Europe. Covers ideological responses: Liberalism, Socialism, Marxism, Luddism, Chartism.
Congress of Vienna & Balance of Power
Congress of Vienna interactive module with D3 comparative power chart (population, army, territory), Great Powers analysis (Austria, Britain, Russia, Prussia, France), guiding principles (Legitimacy, Balance, Compensation, Concert), and territorial changes across Europe.
SN1 vs SN2 Nucleophilic Substitution
Side-by-side SN1 vs SN2 comparison with kinetics, stereochemistry (racemization vs Walden inversion), step-by-step mechanism walkthroughs, and decision flowchart table. Covers substrate structure, nucleophile strength, solvent effects (protic vs aprotic), and LIATE selection.
Functional Groups Recognition
Comprehensive reference card library of 20 organic functional groups organized by category (hydrocarbons, oxygen, nitrogen, sulfur, halogen). Shows structural formula, IUPAC suffix, examples, and key properties including polarity and hydrogen bonding capacity.
Stereochemistry & Chirality
Four-section stereochemistry module covering chirality and enantiomers, R/S CIP priority assignment rules, diastereomers vs meso compounds, and optical activity with polarimetry. Includes pharmacology context (Thalidomide) and biological homochirality discussion.
Partial Derivatives 3D Visualizer
Interactive 3D wireframe surface visualizer for partial derivatives. Shows tangent lines in x-direction (∂f/∂x, red) and y-direction (∂f/∂y, green) with gradient magnitude. Drag-to-orbit camera. Explore Paraboloid, Saddle, Wavy, and Gaussian surfaces.
Double Integrals Volume Visualizer
3D double integral volume visualizer with depth-sorted translucent prism rendering. Adjustable Riemann sum subdivisions (n) demonstrate convergence to exact value. Compare approximation vs exact with error display. Explore Dome, Plane, Wavy, and Cone surfaces.
Conic Sections Explorer
Interactive conic sections explorer with adjustable semi-major/semi-minor axes. Visualizes foci (red), vertices (green), directrix (amber), and asymptotes. Shows standard form equation, eccentricity, and focal distance for Circle, Ellipse, Parabola, and Hyperbola.
Sequences & Series Explorer
Dual-panel sequences and series explorer. Top: bar chart of individual terms aₙ. Bottom: line chart of cumulative partial sums Sₙ with S∞ convergence line. Covers Arithmetic, Geometric (divergent and convergent |r|<1), and Harmonic sequences with adjustable parameters.