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Free variables and bound variables
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Introduction to Programming: Basics and Control Structures
Introduces programming basics and control structures, emphasizing hands-on practice for exam preparation and project work.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Predicate Logic: Quantifiers and Equivalences
Explores predicate logic, covering quantifiers, equivalences, and translations from natural language.
Pen-and-paper session: Lambda Calculus Proofs
Delves into Lambda Calculus proofs, emphasizing structural induction and variable manipulation.
Predicate Logic: More on Quantifiers
Covers quantifiers with finite domains, uniqueness, composite statements, variable binding, translating to logic, and validity.
Implicit Functions Theorem
Covers the Implicit Functions Theorem and its applications in finding extremums under constraints.
Monotonicity and Semantics of Local Variables
Explores properties of relations, monotonicity, semantics of local variables, and translation in programs.
Sequent Calculus with Equality
Covers Sequent Calculus with Equality, focusing on atomic formulas and substitution rules.
Linear Algebra: Properties and Propositions
Explores the link between properties and variables, including contraries and propositions.