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Advanced Physics I: Orders of Magnitude

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Advanced Physics: Introduction to Mechanics

Introduces the fundamentals of advanced physics, emphasizing mechanics and historical developments from Aristotle to Newton.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Kinematics of Material Point

Covers the kinematics of a material point, including orders of magnitude and practical applications.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Material and Energy Balances

Explores material and energy balances in chemical engineering for process optimization and design.

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Newton's Laws: Fundamentals

Explores Newton's laws of motion, fundamental forces in nature, and the unification of interactions.

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Analysis IV: Measurable Sets and Properties

Covers the concept of outer measure and properties of measurable sets.