Math for Society
Explore misleading graphs, convex regions, compactness, polls, expected value, compound interest, exponential functions, and logarithms to enhance your mathematical understanding for real-world applications.
APEX Calculus - Vector-Valued Functions
Explore vector-valued functions through graphing, algebra, calculus, motion analysis, and curvature. Learn about tangent and normal vectors, acceleration, and the arc length parameter in this comprehensive tutorial.
Analysis II Video Lectures
Comprehensive video lectures on advanced mathematical analysis, covering topology, continuity, differentiation, manifolds, and more, with applications to various mathematical concepts.
Geometry Videos
Comprehensive video series covering essential geometry concepts, from circles and angles to the Pythagorean theorem, providing clear explanations and tutorials.
Algebra Word Problem
Master various types of algebra word problems, from number and digit puzzles to real-world applications in speed, mixtures, interest, and geometry.
Geometry
Comprehensive exploration of geometric concepts, from basic lines and angles to complex shapes and proofs, enhancing spatial reasoning and problem-solving skills.
Number Theory
Explore fundamental concepts of number theory, including induction, divisibility, congruences, and prime numbers. Delve into advanced topics like quadratic reciprocity and Dirichlet's divisor problem.
GCSE Maths Revision - Geometry and Measures
Comprehensive revision of geometry and measures for GCSE maths, covering trigonometry, circle theorems, angles, areas, volumes, and more. Essential exam preparation for various exam boards.
Circle Geometry
Comprehensive exploration of circle geometry, covering key theorems, properties, and problem-solving techniques for angles, chords, tangents, and cyclic quadrilaterals.
Constructions
Learn geometric constructions: line segments, angles, perpendiculars, bisectors, circles, triangles, and more. Master essential techniques for creating precise geometric shapes and figures.
Calculus III - Multivariable Calculus - Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization
Explore multivariable calculus through geometric and conceptual understanding. Master vectors, curves, partial derivatives, multiple integrals, and optimization techniques for advanced mathematical applications.
Cool Math Series
Explore fascinating mathematical concepts, from knot theory to non-Euclidean geometry, in an accessible and engaging series designed for a wide audience.
Basic Properties of Geometrical Figures
Explore geometric transformations, symmetry, and properties of shapes. Delve into triangle and quadrilateral proofs, and discover the historical evolution of geometry from Euclid to Einstein.
Basic Linear Relationships
Explore coordinates, plotting, transformations, and linear functions on the Cartesian plane. Master key concepts in coordinate geometry and graph analysis.
Angle Relationships
Comprehensive exploration of angle types, relationships, and properties, focusing on parallel lines and geometric proofs. Develops mathematical reasoning and problem-solving skills in geometry.
Grade 7 Mathematics - Geometric Figures and Measurement
Explore geometric figures, measurement, and shapes including quadrilaterals, polygons, circles, triangles, and prisms. Learn to calculate perimeters and areas of various shapes.
Alice, Bob, and the Average Shadow of a Cube
Explore problem-solving approaches to calculate a cube's average shadow area, comparing two methods and their implications for understanding geometric principles.
Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics
Explore holomorphic dynamics, iterative complex functions, and fractals. Delve into Mandelbrot sets, fixed points, cycles, and Julia sets for a fascinating journey through mathematical visualization.
Newton's Method Produces This Fractal, Why Don't We Teach It in Calculus Classes?
Explore the fascinating fractal produced by Newton's method for finding roots of polynomials, revealing unexpected complexity in a seemingly simple mathematical technique.
Tips to Be a Better Problem Solver - Lockdown Live Math
Explore problem-solving techniques in mathematics through engaging examples from geometry, trigonometry, and probability. Enhance your analytical skills with practical tips and interactive exercises.
Complex Number Fundamentals - Lockdown Live Math
Explore the geometry of complex numbers through interactive demonstrations, Python examples, and practical applications in image rotation and angle addition, with engaging visuals and explanations.