Transform Calculus and Its Applications in Differential Equations
Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.
Calculus of Variations and Integral Equations
In this course you will learn, Calculus of Variations, Integral Equations, Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, etc.
Integral and Vector Calculus
Comprehensive exploration of integral and vector calculus, covering Riemann integration, improper integrals, multiple integrals, vector functions, and theorems with applications to mechanics and geometry.
Manufacturing Systems Technology
Explore manufacturing systems technology, covering design, material handling, CAD/CAM, process planning, numerical control, and lean production concepts for comprehensive industry knowledge.
The Story of Calculus - Part 1
Explore the transformative power of calculus with Steven Strogatz as he unveils its pivotal role in shaping modern civilization, highlighting its impact on medicine, philosophy, science, and technology.
Microeconomics - Theory and Applications
Comprehensive exploration of microeconomic principles, covering consumer theory, production, market structures, and analytical tools like calculus and linear programming.
An Introduction to Smooth Manifolds
The course will start with a brief outline of the prerequisites from topology and multi-variable calculus. After that a large class of examples, including Lie groups, will be presented. The course will culminate with proof of Stokes' theorem on manifolds.
Differential Calculus in Several Variables
This is part of a standard course contents in Several Variable Calculus. The idea of the course is to provide students with different backgrounds a common platform to take up further topics in Mathematics, Physics and Engineering.
Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1
Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.
The Banach Contraction Mapping Theorem - Oxford Mathematics 1st Year Lecture
Explore the Banach contraction mapping theorem in this Oxford Mathematics lecture, focusing on guaranteeing convergence of fixed point iterations in one dimension.
Analysis III: Basic Properties of Riemann Integration - Lecture 1
Explore the fundamental properties of Riemann integration in this first-year Oxford Mathematics student lecture. Delve into the intricacies of proving familiar concepts, such as how the integral of a sum of two functions equals the sum of their individua…
Basic Calculus 1 and 2
Topics of continuity, differentiability, integrability of a real-valued function will be discussed with their applications. Also, series representations of some functions will be discussed.
Interest Point Detection in Computer Vision - Lecture 4
Explore interest point detection techniques, including Harris Corner Detector and auto-correlation, with applications in computer vision and image processing.
Vector Statics
Comprehensive exploration of vector statics, covering forces, equilibrium, moments, trusses, friction, and more. Ideal for engineering students seeking in-depth understanding of static force systems.
Intermediate Dynamics
Comprehensive exploration of advanced dynamics concepts, covering vector algebra, kinematics, particle dynamics, orbital mechanics, rigid body analysis, and more for in-depth understanding.
Linear Algebra
Explore fundamental concepts of linear algebra, including vector spaces, linear transformations, and group theory, enhancing mathematical problem-solving skills.
PHYS 5531 - Midterm Review
Comprehensive review covering integration techniques, series analysis, and Fourier transforms, preparing students for advanced physics concepts and problem-solving.
Lit Calculus
Explore calculus fundamentals, from limits and continuity to derivatives and optimization, with practical examples and in-depth explanations of key concepts and techniques.
Evaluating Limits
Explore the concept of limits in calculus, covering definitions, asymptotes, limit laws, continuity, and the Intermediate Value Theorem through practical examples and theorems.
Determining Derivatives
Learn to calculate derivatives using various rules and techniques, from basic power and chain rules to advanced logarithmic and implicit differentiation methods.
Applications of Differentiation
Explore advanced calculus concepts including extrema, graphing techniques, L'Hospital's Rule, optimization problems, and related rates through practical applications and problem-solving.