Course description

Advanced Algebra delves into complex algebraic concepts, building on foundational principles to explore topics like polynomial functions, matrices, and advanced equations. The course emphasizes problem-solving, abstract thinking, and real-world applications. Students will study vector spaces, linear transformations, and advanced systems of equations. Designed for those seeking a deeper understanding of algebra, it is ideal for mathematics enthusiasts and professionals. Practical examples and theoretical concepts are integrated for a balanced learning experience.

What will i learn?

• Effectively write abstract mathematical proofs in a clear and logical manner.
• Locate and use theorems to solve problems in number theory and theory of polynomials over a field.
• Demonstrate ability to think critically by interpreting theorems and relating results to problems in other mathematical disciplines.
• Demonstrate ability to think critically by recognizing patterns and principles of algebra and relating them to the number system.
• Work effectively with others to discuss homework problems put on the board.