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## Main Question or Discussion Point

Hi, I am currently an undergraduate student and I plan on taking advanced math courses such as Abstract Algebra, Real Analysis, Complex Analysis, etc. There are two courses which I think could help me prepare for the courses above as they are proof intensive: discrete math and bridge to advance mathematics

Discrete math (3 credits):

This course introduces students to the foundations of discrete mathematics. The topics of study include propositional logic, methods of proof, set theory, relations and functions, mathematical induction and recursion, and elementary combinatorics.

Bridge to advanced mathematics (4 credits):

This course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include set theory, logic, mathematical induction, relations and orders, functions, Cantor's theory of countability, and development of the real number system.

So which will help me prepare for advance mathematics? I can only pick one.

BTW, I also took an introduction to Linear Algebra course (called "Matrix Algebra" at my college) which was 3 credits and covered:

Matrices and systems of equations, Determinants, Vector spaces, Orthogonality, Eigenvalues,

Just mentioning this if that helps. There were proofs in this class (especially on vector spaces), though they are nothing like on a real proof based math course

Discrete math (3 credits):

This course introduces students to the foundations of discrete mathematics. The topics of study include propositional logic, methods of proof, set theory, relations and functions, mathematical induction and recursion, and elementary combinatorics.

Bridge to advanced mathematics (4 credits):

This course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include set theory, logic, mathematical induction, relations and orders, functions, Cantor's theory of countability, and development of the real number system.

So which will help me prepare for advance mathematics? I can only pick one.

BTW, I also took an introduction to Linear Algebra course (called "Matrix Algebra" at my college) which was 3 credits and covered:

Matrices and systems of equations, Determinants, Vector spaces, Orthogonality, Eigenvalues,

Just mentioning this if that helps. There were proofs in this class (especially on vector spaces), though they are nothing like on a real proof based math course