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Analytical Geometry \& Linear Algebra -- II

• Course name: Analytical Geometry \& Linear Algebra -- II
• Course number: XYZ

Course Characteristics

Key concepts of the class

• fundamental principles of linear algebra,

   \item concepts of linear algebra objects and their representation in vector-matrix form

\end{itemize}

Course objectives based on Bloom’s taxonomy

- What should a student remember at the end of the course?

By the end of the course, the students should be able to

• List basic notions of linear algebra

   \item Understand key principles involved in solution of linear equation systems and the properties of matrices
   \item Linear regression analysis
   \item Fast Fourier Transform 
   \item How to find eigenvalues and eigenvectors for matrix diagonalization and single value decomposition

- What should a student be able to understand at the end of the course?

By the end of the course, the students should be able to

• Key principles involved in solution of linear equation systems and the properties of matrices

   \item Become familiar with the four fundamental subspaces
   \item Linear regression analysis
   \item Fast Fourier Transform
   \item How to find eigenvalues and eigenvectors for matrix diagonalization and single value decomposition

- What should a student be able to apply at the end of the course?

By the end of the course, the students should be able to

• Linear equation system solving by using the vector-matrix approach

   \item Make linear regression analysis
   \item Fast Fourier Transform
   \item To find eigenvalues and eigenvectors for matrix diagonalization and single value decomposition

Course evaluation

Course grade breakdown

Type	Points
Labs/seminar classes	20
Interim performance assessment	30
Exams	50

Grades range

Course grading range

Grade	Points
A	[85, 100]
B	[65, 84]
C	[50, 64]
D	[0, 49]

Resources and reference material

• Gilbert Strang. Linear Algebra and Its

   Applications, 4th Edition, Brooks Cole, 2006. ISBN: 9780030105678
   \item Gilbert Strang. Introduction to Linear Algebra, 4th Edition, Wellesley, MA: Wellesley-Cambridge Press, 2009. ISBN: 9780980232714

\end{itemize}

\paragraph{Reference material:} \begin{itemize}

   \item Gilbert Strang, Brett Coonley, Andrew Bulman-Fleming. Student Solutions Manual for Strang's Linear Algebra and Its Applications, 4th Edition, Thomson Brooks, 2005. ISBN-13: 9780495013259

\end{itemize}