Vector Calculus for Engineers
Master vector calculus concepts and applications in engineering, covering vectors, coordinate systems, fields, integrals, and theorems with practical examples and electromagnetic applications.
Multivariable Calculus
This course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.
Partial Derivatives
Explore advanced calculus concepts including partial derivatives, chain rule, implicit differentiation, and Lagrange multipliers through engaging problems and proofs.
Thermodynamics - Generalized Analysis of Fluid Properties
Explore advanced thermodynamics concepts including Maxwell relations, equations of state, and phase equilibrium. Gain practical skills in analyzing fluid properties and solving complex problems.
Calculus 3
Comprehensive exploration of advanced calculus concepts, covering 3D space, vectors, multivariable functions, integration techniques, and theorems with practical applications and visualizations.
Stewart Calculus - Multivariable Functions
Explore partial derivatives, linear approximation, chain rule, directional derivatives, and optimization in multivariable calculus through visualizations and practical examples.
Advanced Calculus - Multivariable Calculus
Comprehensive exploration of advanced calculus concepts, from differential equations to multivariable calculus, including series, vector functions, optimization, and integral theorems.
APEX Calculus - Functions of Several Variables
Comprehensive exploration of multivariable calculus, covering limits, partial derivatives, chain rule, directional derivatives, and optimization techniques for functions of several variables.
Calculus 3
Comprehensive exploration of advanced calculus concepts, including vectors, multivariable functions, multiple integrals, and vector fields, with emphasis on theoretical foundations and practical applications.
Calculus 3 Videos
Comprehensive video tutorials covering advanced calculus topics including partial derivatives, vector functions, dot products, triple integrals, vector fields, and line integrals.
Calculus 3 - Vol 1
Master advanced calculus concepts including 3D coordinates, vectors, partial derivatives, and double integrals in this comprehensive tutorial series.
Multivariable Calculus
Comprehensive video series covering multivariable calculus topics, from domains and vectors to triple integrals and coordinate systems, aligned with an open textbook for active learning.
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.
Advanced Math
Explore advanced mathematical concepts beyond calculus and linear algebra, including differential equations, vector fields, and complex theorems for a deeper understanding.
How to Solve Partial Derivatives
Learn to calculate and interpret partial derivatives for multivariable functions, including first-order, second-order, and mixed partial derivatives, with clear explanations and examples.
Solving Exact Differential Equations
Learn to solve exact differential equations with step-by-step guidance, practice problems, and in-depth explanations of key concepts and techniques.
Calculus 3 - Partial Derivatives - Derivatives of Multivariable Functions
Explore partial derivatives in multivariable calculus, including tangent line slopes, implicit differentiation, and higher-order derivatives. Gain a deep understanding through numerous examples.
Precise Definition of the Limit for Multivariable Functions
Explore the epsilon-delta definition of limits for multivariable functions, gaining a precise understanding of this advanced calculus concept with clear explanations and examples.
Determining Potential Function of Conservative Vector Field
Learn to find potential functions of conservative vector fields through clear explanations and practical examples, enhancing your understanding of vector calculus.
Second Derivatives Test for Local Extrema of Multivariable Functions - Calculus 3 Exercises
Explore second derivatives test for finding local extrema of multivariable functions through three examples, covering maximums, minimums, and saddle points using partial derivatives.
Green's Theorem: Derivation and Examples - Lecture 23
Derive and explore Green's Theorem through detailed examples, enhancing understanding of this fundamental concept in vector calculus.