Math 2.0

Resources / course

Algebra 1: Foundations R5YAVJ0V4Q

URIm2://res/R5YAVJ0V4Q
Kindcourse
CreatorsJaikrishnan J (instructor)
Date2026-09-04
Scopein

Expressions

e1: edition

Languageen
Date2026-09-04
Contents
  • part 1: Week 1
  • session 1: The nature of pure mathematics
  • session 2: Basic set theory
  • session 3: Basic logic
  • session 4: Proofs
  • session 5: More about proofs
  • session 6: Set theoretic identities
  • part 2: Week 2
  • session 7: Functions
  • session 8: Equivalence relations
  • session 9: Quotients
  • session 10: More functions
  • part 3: Week 3
  • session 11: Binary operations
  • session 12: Groups
  • session 13: Rings and integral domains
  • session 14: Peeking under the carpet
  • part 4: Week 4
  • session 15: The Integers
  • session 16: Induction
  • session 17: Applications of Induction.
  • session 18: Uniqueness of Integers.
  • part 5: Week 5
  • session 19: Cardinality of sets
  • session 20: Division in the Integers
  • part 6: Week 6
  • session 21: Congruences
  • session 22: Basic number theory
  • session 23: Fields
  • part 7: Week 7
  • session 24: Real numbers
  • session 25: Complex numbers
  • session 26: Polynomials
  • part 8: Week 8
  • session 27: System of Linear Equations
  • session 28: Gaussian elimination
  • session 29: Matrix Algebra
  • session 30: Square systems.
  • session 31: The set of solutions
  • part 9: Week 9
  • session 32: Vector spaces
  • session 33: Direct sums of subspaces
  • session 34: Spans and linear independence
  • session 35: Basis
  • part 10: Week 10
  • session 36: Linear Maps
  • session 37: The Rank--Nullity theorem
  • session 38: Matrices and Linear transformations
  • session 39: Change of basis
  • part 11: Week 11
  • session 40: Eigenvalues
  • session 41: Minimal Polynomial
  • session 42: Applications of the minimal polynomial
  • part 12: Week 12
  • session 43: Triangular Form
  • session 44: Jordan Form
  • session 45: Examples of Canonical Forms

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