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Related lectures (31)
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Matrices 3x3: operations
Covers the definition and operations of 3x3 matrices with real coefficients.
Studying Mechanics: Vector Calculus
Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.
Matrix Multiplication: Algorithms and Complexity
Covers matrix notation, arithmetic, multiplication, algorithms, and complexity of matrix multiplication.
Feynman Rules II: QED
Explores Feynman rules in QED, emphasizing normal ordered product and Wick's theorem, instantons, and relativistic amplitudes.
Linear Combinations and Matrix-Vector Product
Explores linear combinations, matrix-vector product, and matrix equation solutions.
Invertibility Criteria and Inverse Calculation
Explores the criterion for matrix invertibility and the calculation of the inverse.
General Conics: Ellipse and Hyperbola
Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.
Optimisation with Constraints: Interior Point Algorithm
Explores optimization with constraints using KKT conditions and interior point algorithm on two examples of quadratic programming.
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Conic Sections: Ellipse and Hyperbola
Explores properties of conic sections, center, equations, and coordinate transformations.
Analytical Geometry: Tangents and Circles
Explores Cartesian equations of tangents, vector equations, and rules for doubling and duplication in circles.
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