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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.

Market-Based Instruments: Emission Reduction Strategies

Covers market-based instruments for emission reductions and their efficiency in minimizing costs across different sources of emissions.

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A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Probability Theory: Integration and Convergence

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

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Advanced Physics I: Angular Momentum

Explores angular momentum, central forces, and gravitational theory, including Kepler's laws and Newton's approach.

Introduction to Physics: Understanding Natural Phenomena

Covers the basics of physics, emphasizing understanding natural phenomena and the role of mathematics in representing physical laws.

Physics: Introduction to Dynamics and Energy

Covers one-dimensional and two-dimensional motion, dynamics, and energy with a focus on mathematical modeling and rigorous approach.