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