Calculus

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The following subjects will be discussed in Calculus: limits and continuity, differential calculus, inverse and transcendental functions, mean value theorem, integral calculus, sequences and series, introduction to differential equations, introduction to multivariable calculus. In addition to the main facts and concepts, problem-solving strategies will be discussed. Both the intuition behind the concepts and their rigorous definitions will be presented along with simple examples of formal mathematical proofs.