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MATH 2605 Calculus III for Computer Science

This site contains a week-by-week listing of topics in the Calculus III for Computer Science syllabus, and computer materials to help you understand and and work with those topics. Not all teachers spend the same amount of time on each subject, or teach them in exactly the same order,so please pay more attention to the topics than to the weeks! Still, the week by week listing is here to encourage you to consult this site on a regular basis even if your professor is not referring directly to it. This site is designed to be a useful source of supplementary material that all students can use on their own as well as in directed study.

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Syllabus

GT Catalog description of the course.
Schedule
Topics       Sections       Lectures

Lines and planes. Scalar and vector product       12.1-12.7 in [S.H.E]       3
Review of elementary linear algebra       1-4, 8 in [Notes:Th] + Review from [Demko] or [CC]       3
Vectorspaces, maps and their matrices, change of basis       5 in [Notes:Th]       6
Review of Gram-Schmidt, QR and least squares       6 in [Notes:Th]       3
Diagonalization, spectral theorem. SVD       7 in [Notes:Th] + Webnotes       3
Introduction to numerical methods       1 in [Notes:Num]       1
Partial pivoting. LU factorization.       2 in [Notes:Num]       2
Householder and Givens methods for QR       3 in [Notes:Num]       2
Fixed point method       4 in [Notes:Num]       1
Iterative methods for Ax=b and eigenvalues/vectors       4, 5in [Notes:Num]       3
Vector calculus, curves       13.1-13.4 in [S.H.E]       3
Functions in several variables, partial derivative       14.1-14.6 [S.H.E]       3
Linearization of functions; gradient, Jacobian, Newton iteration.       15.1-15.4 in [S.H.E] + Webnote       3
Min-max problems       15.1-15.6 in [S.H.E] + Webnote       3
Double integral       16.1-16.4 in [S.H.E]       3

      42
Textbook
  1. For review: Primer For Linear Algebra, by Stephen Demko; Scott, Foresman and Company [Demko] or Beginning with Linear Algebra, by Carlen, Carvalho[CC]
  2. Calculus, one and several variables, by Salas, Hille, and Etgen (Ninth Edition); John Wiley and Sons, Inc., 2003 [S.H.E]
  3. Web-notes: Linear algebra for MATH2601; Theory [Notes:Th]
  4. Web-notes: Linear algebra for MATH2601; Numerical methods [Notes:Num]






Week-by-week




Buzz Last updated: . School of Mathematics, Georgia Institute of Technology.

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