Università telematica internazionale UNINETTUNO

MOOC Massive Open Online Courses (Academic Year 2018/2019)

Linear Algebra


Videolesson

Lesson n. 1: Introduction
   Real number and complex numbers

   Power

   Roots

   Notational conventions in fields

   Polynomials
Go to this lesson
Lesson n. 2: Vectors
   Vectors

   Equal vectors

   Addition of two vectors

   Subtraction of two vectors

   Coordinates of a vector

   Norm of a vector
Go to this lesson
Lesson n. 3: Inner Product
   Angle between two vectors

   Inner product of vectors

   Orthogonal vectors
Go to this lesson
Lesson n. 4: Cross Product
   Cross product of vectors

   An important formula
Go to this lesson
Lesson n. 5: Vector Spaces
   Definition

   Theorem
Go to this lesson
Lesson n. 6: Matrices I
   Operations with Matrix

   Diagonal matrix

   The trace of a square matrix

   Scalar multiplication

   Identity matrix
Go to this lesson
Lesson n. 7: Bases I
   Definition of linear combination

   Definition of linear independence

   Bases
Go to this lesson
Lesson n. 8: Matrices II
   Definition

   Properties

   Inverse of a 2x2 matrix

   Types of matrices
Go to this lesson
Lesson n. 9: Linear Systems
   Linear Systems

   Homogeneous linear system
Go to this lesson
Lesson n. 10: Determinants
   Definition of determinant

   Addition of two rows or columns

   Determinants and systems
Go to this lesson
Lesson n. 11: Linear Transformations
   Definition

   Examples
Go to this lesson
Lesson n. 12: Bases II
   Extension of Sub-Basis

   Solution
Go to this lesson
Lesson n. 13: Orthonormal Bases
   Definition

   Gram-Schmidt process
Go to this lesson
Lesson n. 14: Matrix of a Transformation
   Matrix of a linear transformation

   Application
Go to this lesson
Lesson n. 15: Eigenvalues
   Definition

   Theorem

   Cayley
Go to this lesson
Lesson n. 16: Eigenvectors
   Recall the definition

   Eigenspaces

   Linear independence of eigenvectors
Go to this lesson
Lesson n. 17: Diagonalization
   Definition

   Theorem
Go to this lesson
Lesson n. 18: Straight Lines
   Vector form of a straight line

   General equation of a line

   Mid-point

   Perpendicular Bisector

   vector equation of a line (I)
Go to this lesson
Lesson n. 19: Circle
   Distance between two points on the plans

   Parametric equations of a circle

   Tangent of a circle

   Relative positions
Go to this lesson
Lesson n. 20: Conic Sections I
   The parabola

   The tangent of the parabola
Go to this lesson
Lesson n. 21: Conic Sections II
   Ellipse

   Parametrical equations

   Eccentricity

   Hyperbola
Go to this lesson
Lesson n. 22: 3D-Space
   Three dimensional space

   Midpoint in 3 dimensions

   Straight line
Go to this lesson
Lesson n. 23: Planes in Space I
   Equation of a plane in space

   Parametric equation of a plane
Go to this lesson
Lesson n. 24: Planes in Space II
   Intersection of two planes in space

   Geometric illustration
Go to this lesson
Lesson n. 25: Spheres and Cylinders
   A cylinder in space

   Plane
Go to this lesson

Headquarter

Corso Vittorio Emanuele II, 39
00186 Roma - ITALIA
C.F.: 97394340588
P.IVA: 13937651001

Certified mail

info@pec.uninettunouniversity.net

Student Secretariat

tel: +39 06 692076.70
tel: +39 06 692076.71
e-mail: info@uninettunouniversity.net

Videoconferencing

Library 1st floor: 90.147.90.157
Meeting Room 5th floor: 90.147.90.158

Do you need further information?

Give us your contact details


Ask for information