Distributed Forces: Calculations and Analysis

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

Non-Straight Beams in Structural Mechanics

Covers non-straight beams, frames, and matching conditions in structural mechanics.

Structural Mechanics: Systems of Forces

Covers systems of forces, moments, couples, and stress in 2D and 3D, as well as the effect of force-couple systems.

Notation in Multivariable Calculus

Reviews the notation used in multivariable calculus, emphasizing accurate translation between different forms of integrals.

Advanced Analysis II: Generalisations and Gradients

Explores generalisations of functions and the concept of gradients in advanced analysis.

Periodic Functions: Integrals and Approximations

Discusses periodic functions, integrals, and approximations using trigonometric polynomials and proofs of related theorems.

Mathematical Reminders: Derivatives, Primitives, Integrals

Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.

End of Semester Contact Session

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

Green's Functions in Laplace Equations

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Generalized Integrals: Definitions and Criteria

Covers the definition of generalized integrals and comparison theorems for convergence.