Bose Advanced Math Olympiad is suitable for College Students.
Curriculum
- Linear Algebra
- Abstract Algebra
- Real Analysis
- Miscellaneous
Linear Algebra
- Vector Space, basis and Dimension.
- Linear Transformation, rank-nullity.
- Matrix Algebra.
- Eigenvalues, Eigenvectors, Characteristic and Minimal polynomials.
- Diagonalizability.
- Inner Product space basic properties.
Abstract Algebra
- Groups, Subgroups, Normal and Quotient groups.
- Homomorphisms, isomorphisms and automorphisms.
- Permutation group and Sylow- Theorem.
- Rings, Ideals and Quotient rings.
- Homomorphisms and Isomorphisms.
- Irreducibility criterion of polynomials.
- Different types of integral domains.
- Fields and algebraic field extension.
Real Analysis
- Sequences and Series.
- Limit Continuity, Differentiation and Riemann Integration.
- Sequence and Series of function.
- Point set topology and Metric spaces.
Miscellaneous
- Basics of Number Theory.
- Combinatorics.
- Ordinary Differential Equation.
- Line, surface and Volume integral.
Reference Books
- Linear Algebra Done right by Sheldon Axler
- Algebra by Artin
- Contemporary Abstract Algebra by Gallian
- Dummit Foote
- Introduction to Real Analysis by Bertle and Sherbert
- Principles of Mathematical analysis
- Elementary Number theory by Burton
- Introuction to ODE by Coddington
Subscribe to Cheenta College Math YouTube Channel
Related
Bose Advanced Math Olympiad is suitable for College Students.
Curriculum
- Linear Algebra
- Abstract Algebra
- Real Analysis
- Miscellaneous
Linear Algebra
- Vector Space, basis and Dimension.
- Linear Transformation, rank-nullity.
- Matrix Algebra.
- Eigenvalues, Eigenvectors, Characteristic and Minimal polynomials.
- Diagonalizability.
- Inner Product space basic properties.
Abstract Algebra
- Groups, Subgroups, Normal and Quotient groups.
- Homomorphisms, isomorphisms and automorphisms.
- Permutation group and Sylow- Theorem.
- Rings, Ideals and Quotient rings.
- Homomorphisms and Isomorphisms.
- Irreducibility criterion of polynomials.
- Different types of integral domains.
- Fields and algebraic field extension.
Real Analysis
- Sequences and Series.
- Limit Continuity, Differentiation and Riemann Integration.
- Sequence and Series of function.
- Point set topology and Metric spaces.
Miscellaneous
- Basics of Number Theory.
- Combinatorics.
- Ordinary Differential Equation.
- Line, surface and Volume integral.
Reference Books
- Linear Algebra Done right by Sheldon Axler
- Algebra by Artin
- Contemporary Abstract Algebra by Gallian
- Dummit Foote
- Introduction to Real Analysis by Bertle and Sherbert
- Principles of Mathematical analysis
- Elementary Number theory by Burton
- Introuction to ODE by Coddington
Subscribe to Cheenta College Math YouTube Channel
Related
