Mathematics · Columbia University
Applications of integration (area and volume), techniques of integration(integration by parts, trig sub, partial fraction, improper integrals), differential equations, parametric equations, polar coordinates, several methods to test for convergence and divergence involving types of sequences, series, and power series.
Coordinate systems, vectors, vector-valued functions, partial differentiation and applications, multiple integrals, line integrals, surface integrals
As I mentioned above, I definitely think the homework grading is disrespectful to our time and effort. If it was genuinely intended that we were to learn the material and not just submit correct answers, I think our homeworks would have been graded in full, not just in part. 1 Columbia University: Arts & Sciences Spring 2022 Course: MATHUN2030_001_2022_1-ORDINARYDIFFERENTIALEQUATIONS : MATHUN2030_001_2022_1 - ORDINARY DIFFERENTIAL EQUATIONS-MATHUN2030_001_2022_1 - ORDINARY DIFFERENTIAL EQUATION Instructor: Evgeni Dimitrov
The material on the syllabus was covered.
Great course. Designed with an introduction to higher mathematics in mind, as a lot of the items in MVC were also related to general relativity, electromagnetism, fluids, and complex variables.
I feel like I now have a solid understanding of calculus II concepts
Very little was actually learned during the lectures. I had taken multivariable calculus before, so that was really the only way I understood the material. The professor is quite hard to understand and not good at explaining concepts.
Standard calc III course at any other university
I learned differential calculus, like partial derivatives, gradients, lagrange multipliers, integration, stokes, diveregence, greens theorem
I learned how to do basic multivariable claculus.