Calculus
Comprehensive video series covering key calculus concepts, from limits and derivatives to related rates and area under curves, with practical examples and problem-solving techniques.
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.
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.
Graphing with Derivatives - Differential Calculus
Explore graphing techniques using derivatives in differential calculus. Learn to analyze function behavior, identify critical points, and sketch accurate graphs with this practical example from Khan Academy.
Graphing Using Derivatives - Derivative Applications - Differential Calculus - Khan Academy
Learn to analyze and sketch functions using derivatives, exploring concepts like increasing/decreasing intervals, concavity, and inflection points in this comprehensive differential calculus lesson.
Calculus 3 - The Chain Rule for Multivariable Functions
Explore the Chain Rule for multivariable functions, focusing on derivatives involving parametrics and compositions. Derive the rule and practice with examples.
Calculus 3 - Derivatives and Integrals of Vector Functions
Explore derivatives and integrals of vector functions, focusing on tangent vectors, space curves, and initial value problems in this comprehensive mathematical lecture.
Calculus 2 - Derivatives and Integrals of General Exponential Functions
Explore derivatives and integrals of general exponential functions, enhancing your understanding of advanced calculus concepts and problem-solving techniques.