The Beauty of Bézier Curves
Explore the mathematics and applications of Bézier curves, from basic concepts to advanced topics like derivatives, curvature, and arc length parameterization, with visual demonstrations.
Derivatives of Radical Functions
Learn to differentiate radical functions using power and chain rules, with examples for square and cube roots.
Logarithmic Differentiation of Exponential Functions
Learn to differentiate complex exponential and logarithmic functions using logarithmic differentiation. Master techniques for solving challenging calculus problems with step-by-step examples and practice exercises.
Concavity, Inflection Points, Increasing Decreasing, First and Second Derivative - Calculus
Comprehensive calculus tutorial covering function behavior analysis, including increasing/decreasing intervals, extrema, concavity, and inflection points using first and second derivatives.
Understand Calculus
Comprehensive overview of calculus fundamentals including limits, derivatives, and integration, with practical examples and explanations of key concepts in just 35 minutes.
Calculus 1 - Derivatives
Learn fundamental derivative concepts and techniques, including power rule, limit definition, trigonometric functions, product rule, and quotient rule. Master calculus basics with clear explanations and examples.
Calculus 1 Lecture - Techniques of Differentiation - Finding Derivatives of Functions Easily
Learn essential techniques for finding derivatives efficiently, including constant derivatives, notation, horizontal tangent lines, higher derivatives, and an intro to differential equations.
Intermediate Algebra - Graphing and Solving Exponential Functions
Learn to graph and solve exponential functions, including applications in compound interest and rate problems, in this comprehensive lecture.
Math for Artists - Live from HQ - Inside Unreal
Explore essential math concepts for artists in VFX and game development, including vectors, transforms, and gradients, with practical examples and real-world applications.
Hairy Inflection Point Problem
Explore concavity and inflection points through a challenging example, enhancing your understanding of calculus concepts and problem-solving skills.
Infinitesimal Calculus with Finite Fields - Famous Math Problems
Explore infinitesimal calculus in finite fields through the semi-cubical parabola over F_7, challenging traditional real number analysis and emphasizing polynumbers and de Casteljau Bezier curves.
Dual Complex Numbers and Leibniz's Differentiation Rules - Famous Math Problems
Explore algebraic infinitesimals, dual complex numbers, and Leibniz's differentiation rules in this advanced mathematics lecture, extending calculus to general and finite fields.
Lines and Parabolas I - Arithmetic and Geometry Math Foundations
Explore lines and parabolas using algebraic calculus, covering y-intercepts, slopes, x-intercepts, quadratic polynomials, Taylor expansions, derivatives, and tangent lines in elementary mathematics.
Translating Polynumbers and the Derivative - Arithmetic and Geometry Math Foundations
Explore polynomials and derivatives algebraically, introducing Taylor polynomials and sub-derivatives. Challenges traditional calculus views, shifting towards Euler and Lagrange's approach to mathematical foundations.
Review of Calculus and First Order Linear ODEs
Comprehensive review of calculus fundamentals and introduction to first-order linear ODEs, with practical examples and applications in engineering mathematics.
A Special Case of Riemann's Integral Identity, With Blackpenredpen
Explore a special case of Riemann's integral identity with Michael Penn and @blackpenredpen, learning key mathematical tools and techniques for solving complex integrals.
Your Dreams May Come True with MTP2 by Caroline Uhler
Explore multivariate totally positive distributions, their properties, and applications in various fields. Learn about density estimation, ML estimation, and practical uses in portfolio selection and gene networks.
Jürgen Jost - Geometry and Topology of Data
Explore geometric and topological approaches to data analysis, focusing on ball intersections, curvature concepts, and convexity in metric spaces.
Persistence and First-Passage Properties of Stochastic Processes by Satya N Majumdar
Explore stochastic processes, focusing on persistence and first-passage properties. Covers applications in chemistry, finance, astrophysics, and more. Examines Markov processes and run-and-tumble particle models.
Chad Giusti - Topology, Convexity, and Neural Networks
Explore topology in neuroscience, focusing on receptive fields, neuron convexity, and geometric features. Discover connections between neural networks and mathematical concepts.
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids
Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.