JEEA-01 — JEE Advanced Math — Sets, Relations and Functions

JEE Advanced Math — Sets, Relations and Functions

Sets, relations, and functions for JEE Advanced aspirants — deeper treatment.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze advanced set identities and reason about the cardinality of finite and infinite sets [Analyze]
  2. Construct equivalence relations and corresponding partitions on abstract sets [Create]
  3. Evaluate injectivity, surjectivity, and bijectivity for piecewise and abstract functions [Evaluate]
  4. Solve Cauchy-type functional equations and their variants using continuity and monotonicity arguments [Analyze]
  5. Investigate iteration sequences and fixed points of functions to determine long-term behavior [Analyze]
  6. Solve JEE Advanced multi-step and integer-type problems on functions and functional equations [Evaluate]

📚 Chapters

  1. Sets and Operations — Advanced Identities
  2. Cardinality of Finite and Infinite Sets
  3. Equivalence Relations and Partitions
  4. Order Relations
  5. Functions — Injective, Surjective, Bijective
  6. Composition and Inverse
  7. Periodic Functions
  8. Even and Odd Functions
  9. Functional Equations — Cauchy and Variants
  10. Iteration and Fixed Points

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