Semester: Spring 2019 - 2020

Instructor: Nurgül Gökgöz Küçüksakallı

                 E-Mail: ngokgoz@cankaya.edu.tr

                 Office: R - 205

                 Office Hours: Monday 10:10-11:00 , Monday 13:20-14:10

                 

Catalog Description: Triple Integrals in Cylindrical and Spherical Coordinates, Substitutions in Multiple Integrals Line Integrals, Vector Fields, Work, Path Independence, Potential Functions and Conservative Fields Green’s Theorem, Surface Area and Surface Integrals, Parametrized Surfaces, Stoke’s Theorem, Divergence Theorem. Systems of linear equations, matrices, determinants, Vectors in 2-space and 3-space Real Vector Spaces, Subspaces, Linear Independence Basis and Dimension, Change of Basis Row Space, Rank and Nullity Inner Product Spaces, Gram-Schmidt Process, Orthogonal Matrices Eigenvalues and Eigenvectors Diagonalization.

Textbooks:

 


 

 

  • G.B. Thomas, Jr. and M. D. Weir and J. Hass Thomas’ Calculus, 11 th Edition Addison-Wesley 2009

  • H. Anton, C. Rorres, Elementary Linear Algebra, 11th ed. Wiley 2010

Evaluation Criteria:(New!)

Midterm :  30%

2 Quizzes : 30% (15% each)

Final: 40%

 

Exam Dates: 

 

Exam Dates: 

NEW!!! (All exams and Quizzes will be held on webonline)

 

Midterm : 22 May, 2020, 17:30
Quiz 1: 28 April, 2020, 17:30
Quiz 2: 5 May, 2020, 17:30
Final: 16 June, 2020, 11:00

 

 

Quiz 1 Topics (15%, 28 April 2020, 17:30)

  • Systems of Linear Equations, Matrices
  • Inverse Matrices, Determinants

Quiz 2 Topics (15%, 5 May 2020, 17:30)

  • Vectors in Euclidean n Space
  • Real Vector Spaces, Subspaces
  • Linear Independence, Basis and Dimension

Midterm Topics (30%, 22 May 2020, 17:30)

  • Triple Integrals in Cylindrical and Spherical Coordinates
  • Line Integrals
  • Path Independence, Potential Functions and Conservative Fields, Green's Theorem
  • Surface Area, Surface Integrals
  • Stoke's Theorem, Divergence Theorem

 

Final exam Topics(40%, 16 June 2020, 11:00)

  • Row Space, Column Space, Null Space, Rank and Nullity
  • Inner Product Spaces, Gram-Schmidt Process
  • Eigenvalues and Eigenvectors, Diagonalization
  • Orthogonal Diagonalization

 

 

 

  • Make Up (For Midterm): TBA

  • Make Up (For Final): TBA

  • Resit Exam :6 July 2020, 11:00