Fall semester 2023:
1) 21-355 Principles of Real Analysis I
From the course catalogue:
"This course provides a rigorous and proof-based treatment of functions of one real variable. The course presumes some mathematical sophistication including the ability to recognize, read, and write proofs.
Topics include: The Real Number System: Field and order axioms, sups and infs, completeness. Real Sequences. Bolzano-Weierstrass theorem. Topology of the Real Line: Open sets, closed sets, compactness, Heine-Borel Theorem. Continuity: extreme and intermediate value theorems, uniform continuity. Differentiation: chain rule, local extrema, mean-value theorem, L'Hospital's rule, Taylor's theorem. Riemann integration: sufficient conditions for integrability, fundamental theorems of calculus."
- Class: MWF 11:00 am - 11:50 am in PH A18C
- The course will be supplied with lecture notes. Additional reading can be found on Canvas.
More details are available on Canvas, which will be updated regularly.
2) 21-120 Differential and Integral Calculus
From the course catalogue:
"Functions, limits, derivatives, logarithmic, exponential, and trigonometric functions, inverse functions; L'Hospital's Rule, curve sketching, Mean Value Theorem, related rates, linear and quadratic approximations, maximum-minimum problems, inverse functions, definite and indefinite integrals, and hyperbolic functions; applications of integration, integration by substitution and by parts."
- Class: MWF 1:00 pm - 1:50 pm in WEH 7500
- Textbook: The course will be based on the OpenStax textbook ''Calculus 1'' by Herman, Strang, et al., which is available for free and can be found HERE.
More details are available on Canvas, which will be updated regularly.
Past teaching:
- Spring 2023, I taught 21-111 Differential Calculus at Carnegie Mellon University
- Supervisions at the University of Cambridge: 'Analysis and Topology' and 'Linear Analysis'
- Among others, I prepared and taught mathematics courses for the Cambridge Immerse Education Summer Schools and worked at the Berlin International College, where I taught Bachelor Prep mathematics courses.