Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.
Covers the definition of applications, image of elements, and direct and reciprocal images.
Explores handling indeterminate forms in limits through simplification and extracting dominant terms for effective evaluation.
Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.
Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.
Explains injectivity and surjectivity criteria in functions using graphical representations.
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Covers level curves and graphs of functions in two and three dimensions.
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
