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Related lectures (19)
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Curves in Space
Explores approximating curves in space and preparing for an upcoming exam.
Projections: Types and Applications
Explores different types of map projections and their practical applications in geomatics, emphasizing the importance of preserving angles and choosing the right projection for accurate representation.
Calculating Infinitesimal Displacement on Earth's Surface
Explores the calculation of infinitesimal displacements on Earth's surface using geomatics elements and spherical coordinates.
Geodetic Concepts: Reference Systems and Projections
Covers geodetic concepts, reference systems, and map projections for accurate measurements in engineering projects.
Descriptive Geometry: The Sphere
Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.
Lab Work: the Astrolabe
Explores the construction and significance of the astrolabe in determining time and celestial observations.
Integral Applications: Arc Length
Explores finding circle circumference and parametric curve arc length using integration and derivatives.
Projections: Projection Suisse
Explains the Swiss projection system, its coordinate system, advantages, deformation, and examples from France.
Smooth Piecewise Arcs Integration
Covers smooth piecewise arcs integration and the importance of closed paths.
Arc Length Approximation
Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Green-Riemann Formula: Curvilinear Integrals
Covers the Green-Riemann formula, connectedness by arcs, parametrization of curves, and open simply connected domains in the Oxy plane.
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Parametrization by Arc Length
Covers parametrization by arc length for representing curves with continuous differentiability.
Coordinates and Projection Systems
Explores scales, coordinate systems, projections, and legal positioning references in territory modeling.
Regular Curves: Parametrization and Tangent Vectors
Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.
Curvilinear Integrals and Green's Theorem
Introduces curvilinear integrals, parameterization, and Green's Theorem for conservative fields.
Volume of Rotated Solids
Covers the calculation of volumes of rotated solids and arc length for functions and graphs.
Arc Length: Circle Circumference and Parametric Curves
Covers circle circumference calculation and parametric curve arc length determination.
Calculus Applications: Lengths and Surfaces of Revolution
Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.
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