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Applications of Trigonometric Functions
Covers various applications of trigonometric functions, such as calculating values using inverse trigonometric functions.
Vectorial Geometry: Affine Subspaces
Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.
Involutes and Bezier Curves
Explores involutes and Bezier curves, essential in computer-aided design.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Conic Synthesis in the Plane
Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.
Linear Equations and Matrices
Introduces linear equations with real coefficients, systems, solutions, and representations in 2D and 3D spaces.
Quadratic Surfaces in 3D Space
Explores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.
Linear Equations: Elementary Operations
Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.
Digital Controller Design: Pole Placement Technique
Covers digital controller design, focusing on discrete-time models and the pole placement technique.