Concept
Cours d'Analyse
Related lectures (26)
Generalized Finite Increments
Explores generalized finite increments, derivatives, reciprocals, and Bernoulli-L'Hospital rule.
Fourier Transform: Properties and Applications
Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.
Casting & Molding: Physics of Manufacturing
Explores molding processes, casting physics, defects, key parameters, metal injection molding, and ongoing research on micro-/nano-scale casting.
Limits and Continuity
Explores limits, continuity, and elementary functions' properties, emphasizing the importance of understanding continuous functions.
Properties of Continuous Functions
Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.
Taylor Series: Limits and Composition
Covers the calculation of limits using Taylor series and the composition of compound functions.
Derivatives and Jacobian Matrix
Introduces functions with real values, derivatives, and the Jacobian matrix, along with compound functions and variable change applications.
Generalized Integrals: Elementary Cases
Explores elementary cases of generalized integrals, convergence criteria, and the interpretation of integrals of type i and ii.
Physics of Manufacturing: Laser Processing and Material Shaping
Explores laser manufacturing physics and metal shaping processes, including strain hardening and recrystallization.
Convergence of Series
Covers the convergence criteria of series, including alternating series and absolute convergence.