This final lecture introduces the variety of fields of mathematics available to study, and gives an idea of why they’re important. Here you’ll find out about: • Linear Algebra • Calculus • Multivariable Calculus • Vector Calculus • Differential Equations • Numerical Analysis • Discrete Math • Combinatorics • Graph Theory • Discrete Calculus •
Hold onto your seats. In this lecture we’re going to explore some relationships between groups that will astound you with how interconnected they are!
Building on the idea of groups, this lecture explores the structures called rings and fields, beginning to more closely resemble the number systems we work with every day.
Now we leave the world of real analysis and explore abstract algebra, beginning with some beautiful structures called groups that will serve to unify mathematics as a whole.