Mathematics · Columbia University
Limits, differential equations, series, integrals.
Ch 1-7 Linear Algebra with Applications 5th Edition Otto Bretsch
During Calc II, we learned additional integration techniques to prepare us for sequences and series. The class placed emphasis on Taylor series. At the end of the course, we learned about differential equations.
I learned a basic overview of linear algebra (Chapters 1-7 of Otto Bretscher's Linear Algebra with Application 5th Ed.)
I learned a lot from this course and skills such as adapting to different problems with defined techniques. Here is a list of what I learned off the top of my head: techniques for integration, integration by parts, trigonometric substitution, integration of rational functions, differential equations, separable equations, sequences, series, alternating series test, ratio test, limit comparison test, other series tests, radius of convergence, power series, Taylor series, Macluarin series, etc.
methods of integration, applications of integration, sequences, series, taylor series, maclaurin series, power series, geometric series, differential equations
I learned all the stuff you're supposed to in LA, y'all can look at the textbook
I learned better ways to approach integrals and differentials. It was a good exercise in methodical thinking and problem solving.
Linear Transformations, Change of Basis, Eigenvectors/values, Dynamical Systems
Integration, series and differential equation