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ALGEBRA II:

Final Exam Solution

  1. Lecture 1: Review on quotient group, ideal and maximum ideal
  2. Lecture 2: Sylow’s theorem
  3. Lecture 3: Ring Theory (Zorn’s Lemma)
  4. Lecture 4: Field Theory

Useful link: (1)

 

FUNCTIONAL ANALYSIS:

 

ALGREBRA I:

 

ADVANCED ALGEBRA II:

  1. Lecture 1: Field extension
  2. Sheaf Theory

 

MANIFOLD:

  1. Basic Definition of Manifold
  2. Differentiation, tangent plane and regular values
  3. Proof of Fundamental of Algebra

 

ALGEBRAIC GEOMETRY: (Syllabus)

 

  1. Lecture 1
  2. Lecture 2
  3. Lecture 3
  4. Lecture 4
  5. Lecture 5
  6. Lecture 6
  7. Lecture 7

Supplement:

Geometric interpretation of Modular group

 

TOPOLOGY AND ANALYSIS (MATH 202A AT BERKELEY)

  1. Measure Theory

 

SUPPLEMENTAL CONTEND:

    1. Wierstrass Theorem