Teaching
- Fall 2017: Mathematical Analysis IIIA (in english): University of Iceland, Reykjavik, Iceland.
- Engineering Calculus III - inspired by J. Stewart’s textbook: Calculus Lecture Notes & Quizzes
- The 3-dimensional space, dot products and cross products
- Equations of line and plane
- Vector functions and space curves
- Functions of several variables and partial derivatives
- Tangent planes and differentials
- The Chain rule and Implicit Theorem
- Directional derivatives and the gradient vector
- Maximum and minimum
- Iterated integrals, double integrals over general regions, in polar coordinates
- Applications of Double integrals (center of mass,…)
- Triple integrals
- Vector fields
- Line integrals and Fundamental Theorem
- Green Theorem
- Curl and Divergence
- Parametric surfaces, surface integrals
- Stokes’ Theorem
- Divergence theorem