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General Solutions of Differential Equations
Explores general solutions of differential equations, emphasizing homogeneous and inhomogeneous equations and the process of finding solutions.
Designing Learning Experiences: CS411 Class Project
Introduces the CS411 Class Project, where students design and test a lesson using learning theories.
Conservation Laws: General Framework
Covers the fundamental conservation laws and properties of space and time beyond mechanics.
Lie Groups: Representations and Transformations
Explores Lie groups, scalar fields, and vector spaces transformations.
Introduction to Stereotomy
Covers the basics of stereotomy, including geometric and family generics, live exercises, and hybrid component creation.
Elliptic Curves: Theory and Applications
Covers the theory and applications of elliptic curves in cryptography and number theory.
General Solution of EOLI in Homogeneous
Covers the general solution of EOLI in homogeneous and explores linear applications and identity functions.
Quantum Measurements
Explores quantum measurements, including POVMS and general projections, and their applications in quantum computing.
Rolle's and Mean Value Theorem
Covers higher derivatives, local extrema, and the application of Rolle's and Mean Value Theorems.
Approximation by Smooth Functions
Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.
Étale Motives and the Hodge Conjecture
Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.
Oxygen Consumption: Validation Calculations
Covers the validation calculations for oxygen consumption in Excel.
Propagation of Uncertainty II
Explores the propagation of uncertainty in correlated variables and extreme correlations, Tchebychev inequality, confidence intervals, and Taylor series development.
Limits of Sequences: Induction, Bernoulli's Inequality, and Algebra
Explores induction, Bernoulli's inequality, and algebraic limits in sequences with examples and computations.
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Cayley Graphs: Properties and Applications
Explores the properties and applications of Cayley graphs in group theory and network analysis.
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Hilpot Liegr: Understanding Nilpotent Lie Groups
Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.
Turbulence Modeling: RANS Equations
Covers the basics of turbulence modeling and the RANS equations for simulating turbulent flows.
Forces and Friction: Understanding Mechanical Interactions
Explores elastic deformation, Hooke's Law, friction models, viscous friction, and Newton's laws in practical scenarios.
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