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Related lectures (31)
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Introduction to Analysis
Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Unbounded Positive Sequences
Explores finding positive unbounded sequences and their properties, including limits at infinity.
Linear Equations: Elementary Operations
Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.
Limits at Infinity: Composition of Functions and Continuity
Explores composition of functions, infinite limits, and continuity near infinity.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
Real Functions: Limits at Infinity
Explores real functions, emphasizing limits at infinity and calculation rules.
Homogeneous Coordinates: Ellipse and Hyperbola
Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.
Improper Integrals: Fundamental Concepts and Examples
Covers improper integrals, their definitions, properties, and examples in two and three dimensions.
Descriptive Geometry: Cones and Cylinders
Explores points at infinity, conic sections, asymptotes, and tangents in circular cones.