Semester: Fall 2018 - 2019

Instructor: Emre SERMUTLU


                 Office: R - 201

                 Office Hours: Thursday 13:20 - 15:10

                   Nurgül GÖKGÖZ KÜÇÜKSAKALLI


                 Office: R - 205

                 Office Hours: Monday/Wednesday 11:30 - 12:20

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.


  • 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: Two Midterm Exams (30% each), One Final Exam (40 %), Attendance (5% BONUS)

Final: 07.01.2019, 15:00

Exam Places: Ademoğlu-Demirbaş/Amphi 2

                       Demircioğlu-Özdemir/Amphi 3

                       Özel-Yurdakul/Amphi 6

Final Exam Topics:

  • Systems of Linear Equations, Matrices
  • Inverse Matrices, Determinants
  • Vectors in Eucliedan n Space
  • Real Vector Spaces, Subspaces
  • Linear Independence, Basis and Dimension
  • Row Space, Column Space, Null Space, Rank and Nullity
  • Inner Product Spaces, Gram-Schmidt Process
  • Eigenvalues and Eigenvectors, Diagonalization
  • Orthogonal Diagonalization

Final exam results have been announced! You may see your exam papers on 17.01.2019 between 10:00-11:00 at R-205!

Make Up: 15.01.2019, Tuesday, 10:00, M-B06

Resit: 24.01.2019, Thursday, 10:00

(Make Up and Resit exams cover the whole semester!)