Periodic Functions: Integrals and Approximations

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Calculus: Derivatives and Integrals

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Applications of Residue Theorem in Complex Analysis

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Exemples à connaître

Covers various examples related to mathematical functions, including derivatives and integrals.

Advanced Analysis I: Cauchy-Schwarz Inequality

Explores the Cauchy-Schwarz inequality in integrals and functions, offering a comprehensive understanding of its applications.

Integrals of Functions

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Taylor Series and Definite Integrals

Explores Taylor series for function approximation and properties of definite integrals, including linearity and symmetry.

Taylor Series: Derivatives and Integrals

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Properties of Integrals: Techniques and Applications

Explores properties of integrals and techniques for calculation.

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.

End of Semester Contact Session

Covers the transition to a blended format, student performance, and mathematical analysis methods.