Lectures and exercises

List of Exercises

  • geometry(2012)
    Date Pdf-file
    10/10/2012 Surfaces
    10/17/2012 tangent vector, normal vector, I,II,curvature
    10/31/2012 Einstein method
    11/14/2012 Principal curvature
    12/05/2012 Geodesics
    12/19/2012 Reports #1
    01/09/2013 Gauss-Bonnet theorem
  • Calculus(2012)
    Date Pdf-file
    05/20/2012 05_20
    07/02/2012 07_02
    10/29/2012 10_29
    11/26/2012 11_26
    01/28/2013 01_28
    01/28/2013 01_28(original)
    01/28/2013 exam_final
    01/28/2013 exam_final_answer
  • ODE(2012)
    Date Pdf-file
    05/02/2012 05_02
    05/09/2012 05_09
    05/23/2012 05_23
    07/04/2012 07_04
  • Measure Theory(2011)
    Date Pdf-file
    05/11/2011 Functions and Topology
    05/18/2011 Jordan measure and Riemann integrals
    05/25/2011 Lebesgue measure
    06/08/2011 Lebesgue measurable function
    06/29/2011 Supplement for Lebesgue measurable function
    06/29/2011 Stochastic convergence
    07/06/2011 Inequalities
    07/20/2011 Convergent theorems
    08/10/2011 Riemann and Lebesgue integrals
    10/05/2011 Review
    10/19/2011 Borel fnctions
    10/26/2011 Fubini's theorem
    11/16/2011 Function of Bounded Variations
    11/30/2011 Absolute continuous functions
    12/14/2011 Distributions
    01/11/2012 Fourier Analysis
  • Statics(2011)
    Date Pdf-file
    05/31/2011 05_31
    06/21/2011 06_21
    07/05/2011 07_05
    07/26/2011 07_26
    08/09/2011 08_09
  • Linear Algebra(2011)
    Date Pdf-file
    05/27/2011 05_27
    06/24/2011 06_24
    07/30/2011 07_30
    08/05/2011 08_05
    10/28/2011 10_28
    12/09/2011 12_09
  • Functional Analysis(2010)
    Date Pdf-file
    10/07/2010 Inequalities
    10/21/2010 Hilbert Spaces-I
    11/04/2010 Hilbert Spaces-II
    11/18/2010 Riesz Theorem
    12/02/2010 Bounded and Closed Operators
    12/16/2010 Banach Spaces
    01/13/2011 Adjoint Operators
    01/20/2011 Compactt Operators and Spectrum
  • Functional Analysis(2009)
    Date Pdf-file
    10/07/2009 Normed Space
    10/14/2009 Banach Space
    10/28/2009 Hilbert Space-I
    11/04/2009 Hilbert Space-II
    11/11/2009 Riesz Theorem
    11/25/2009 Linear Operator
    12/02/2009 Hahn-Banach Theorem
    12/16/2009 Convex Set
    01/06/2009 Dual Space and Weak topology
    01/20/2009 Compact Operator
  • Complex Analysis(2010)
    Date Pdf-file
    04/12/2010 Sequences
    04/19/2010 Series
    04/26/2010 Complex numbers
    05/10/2010 Topology on Complex plane
    05/17/2010 Holomorphic functions
    05/24/2010 Integrations
    06/01/2010 Elementary functions
    06/15/2010 Cauchy's integral theorem
    06/29/2010 Cauchy's integral formula
    07/05/2010 Taylor Theorem and Maximal principle
    07/12/2010 Laurant series
    07/26/2010 Residue
  • Statics(2010)
    Date Pdf-file
    04/13/2010 Remark
    04/20/2010 04_20
    04/27/2010 04_27
    05/25/2010 05_25
    07/06/2010 07_06
  • Calculus_B(2010)
    Date Pdf-file
    10/19/2010 Remark
    10/19/2010 10_19
    11/02/2010 11_02
    11/16/2010 11_16
    11/30/2010 11_30
    12/14/2010 12_14
    01/18/2011 01_18
  • Calculus_A(2012)
    Date Pdf-file
    05/20/2012 05_20
  • Calculus_A(2010)
    Date Pdf-file
    04/13/2010 Remark
    05/06/2010 05_06
    05/13/2010 05_13
    05/27/2010 05_27
    06/10/2010 06_10
    07/08/2010 07_08

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