Mathematics Crash Course for IIT JAM MathematicsIn this crash course, you will be introduced to the core topics of mathematics that are essential for the IIT JAM Mathematics exam. This course is designed to provide you with a comprehensive understanding of the following topics:
Sequences & Series of Real Numbers- Introduction to sequences and series
- Convergence and divergence of sequences
- Arithmetic and geometric progressions
- Infinite series and tests for convergence
- Power series and Taylor series
Functions of One Real Variable- Introduction to functions and their properties
- Limits and continuity
- Differentiation and applications
- Integration and applications
- Elementary functions and their properties
Matrices & Vector Spaces- Matrices and their operations
- Determinants and their properties
- Eigenvalues and eigenvectors
- Vector spaces and subspaces
- Linear transformations and their properties
Group Theory- Introduction to groups and their properties
- Subgroups and cosets
- Group homomorphisms and isomorphisms
- Group actions and their applications
- Cayley's theorem and its consequences
Multivariable Calculus- Functions of several variables
- Partial derivatives and their applications
- Multiple integrals and their applications
- Vector fields and line integrals
- Green's theorem and its applications
Differential Equations- First-order ordinary differential equations
- Second-order ordinary differential equations
- Systems of ordinary differential equations
- Laplace transforms and their applications
- Partial differential equations and their applications
By the end of this crash course, you will have a solid foundation in these key topics of mathematics, which will greatly enhance your preparation for the IIT JAM Mathematics exam.
Remember to visit EduRev for additional study materials, practice questions, and mock tests to further strengthen your understanding and improve your performance in the exam. Good luck!
This course is helpful for the following exams: IIT JAM, Mathematics