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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,
  • concepts of linear algebra objects and their representation in vector-matrix form

What is the purpose of this course?

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
  • Understand key principles involved in solution of linear equation systems and the properties of matrices
  • Linear regression analysis
  • Fast Fourier Transform
  • 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
  • Become familiar with the four fundamental subspaces
  • Linear regression analysis
  • Fast Fourier Transform
  • 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
  • Make linear regression analysis
  • Fast Fourier Transform
  • 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
  • Gilbert Strang. Introduction to Linear Algebra, 4th Edition, Wellesley, MA: Wellesley-Cambridge Press, 2009. ISBN: 9780980232714