Mathematics 2 - Calculus of Functions of More Than One Variable

SS 2019



LECTURE NOTES


Note 1 (Apr 1)

Note 2 (Apr 3)

Note 3 (Apr 5)

Note 4 (Apr 15)

Note 5 (Apr 17)

Note 6 (Apr 24)

Note 7 (Apr 29)

Note 8 (May 6)

Note 9 (May 8)

Note 10 (May 10)

Note 11 (May 13)

Note 12 (May 14)

Note 13 (May 15)

Note 14 (May 27)

Note 15 (May 29)

Note 16 Slides 16 (May 31)

Note 17 (June 3)

Note 18 Slides 18 (June 5)

Note 19 (June 12)

Note 20 (June 17)

Note 21 Slides 21 (June 19)

Note 22 (June 24) (See also here for more exercises)

Note 23 Slides 23 (June 26)

Note 24 (July 1)

Note 25 (July 3)

Note 26 (July 8)



COURSE JOURNAL


  • Apr 1 - Systems of linear equations
  • Apr 3 - Vector spaces
  • Apr 5 - Invertible matrices
  • Apr 15 - Rank of matrices
  • Apr 17 - Fundamental system of solutions
  • Apr 24 - Determinant
  • Apr 29 - Change of basis
  • May 6 - Eigenvalues and eigenvectors
  • May 8 - Inner product
  • May 10 - Orthonormal basis
  • May 13 - Orthonormal projections
  • May 14 - Adjoint operators
  • May 15 - Unitary operators
  • May 27 - Bilinear forms
  • May 29 - Topology on R^d
  • May 31 - Functions of several variables
  • June 3 - Continuous functions
  • June 5 - Differentiable functions
  • June 12 - Differentiable functions II
  • June 17 - Implicit function theorem and higher order derivatives
  • June 19 - Local extrema of functions
  • June 24 - Conditional local extrema
  • June 26 - Basic concept of differential equations
  • July 1 - First order differential equations
  • July 3 - Existence and uniqueness of solutions. Higher order linear differential equations
  • July 8 - Systems of linear differential equations