Giulia Sacca

Some introduction to proofs and abstract math

Proof-based lin. alg., some set theory, and group theory too.

basic abstract mathematical thinking/prep for analysis

Tons about the very basic intro definitions and theorems behind different fields of math including number theory, analysis, set theory, and just some techniques for /practice with proving mathematical statements.

Proof-based linear algebra and some introductory higher math

I learned about injections, surjections, and bijections; intro to set theory; intro to discrete math; rigorous limits; Dedekind cuts; equivalence relations; equivalence classes; important mathematical theorems; proof structures.

I learned how to write proofs and different styles of writing proofs. I also learned the fundamentals of linear algebra and set theory.

I learned a lot of more specific concepts that relate to all areas of math I had studied in the past.

I learned the important structure and application of linear algebra so that I will have a basis of understanding for higher level math courses, and so that I will be able to apply it in research in the future.

If it is taught by the same professor I would not recommend it