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Distributed Forces: Calculations and Analysis
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Related lectures (35)
Functions xr, r>0, on 10,1
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Covers the properties of functions xr, r>0, on 10,1, including limits and integrals.
Improper Integrals: Convergence and Comparison
Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Generalized Integrals: Convergence and Divergence
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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.
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Covers the definition of generalized integrals and comparison theorems for convergence.
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Covers the fundamental concepts of integrals and primitives, including properties and examples.
Example Type 3
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Covers changing variables in integrals with a focus on exponential functions.
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Distributed forces: integrals and resultant forces
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Covers the calculation of beams with distributed loads and resultant forces.
Comparison Series and Integrals
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Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Introduction to Structural Mechanics
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Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.
Residue Theorem: Calculating Integrals on Closed Curves
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Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Two-loop Computations: External Legs and Internal Propagators
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Covers the computation of two-loop diagrams with external legs and internal propagators.
Unclosed Curves Integrals
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Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Non-Straight Beams in Structural Mechanics
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Covers non-straight beams, frames, and matching conditions in structural mechanics.
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