Course Syllabus

This syllabus outlines the modules of Algebra.

📝Coursemeta: Course card

MJC-01

📝Module: Unit 1 — Complex Numbers

Polar representation, De Moivre's theorem, roots of complex numbers, and hyperbolic functions.

📝Module: Unit 2 — Sets and Relations

Equivalence relations, partitions, partial order relations, functions, and cardinality.

📝Module: Unit 3 — Number Theory

Division algorithm, prime numbers, congruences, Fermat's little theorem, and Euler's phi function.

📝Module: Unit 4 — Matrices

Rank of a matrix, systems of linear equations, eigenvalues, eigenvectors, and Cayley-Hamilton theorem.

📝Module: Unit 5 — Theory of Equations

Roots of polynomials, relations between roots and coefficients, symmetric functions, and Cardan's method.