Requirements
- Fundamentals of Algebra
Target audiences
- University
General
This course is suitable for first-year university students.
Topics covered
- Algebra
- Trigonometry
- Analytical and vector geometry
- Mathematical analysis
- functions
- limits
- derivatives
- study of functions
- integral
- Linear Algebra
- The program can be adapted in relation to the student's educational objectives.
- Vectors and vector spaces
- Dimension of a vector space
Inner product, orthogonality, length of vectors. Linear independence.
Dimension of a vector space. Base and base change - Linear transformations
- Optimization of two-variable functions
- Matrix calculation
- Definition of matrix and elementary operations
Definition. Equality. Sum. Multiplication by a scalar. Matrix multiplication. Square matrices. Transposed. Trace. - Determinants
Definitions. Property. Development for cofactors. Determinant and linear independence - The inverse is the rank
- Solutions of a system of linear equations. Definition. The fundamental theorem. Homogeneous systems and their properties
- Eigenvalues and eigenvectors
- The program can be adapted in relation to the student's educational objectives.
Course details
The course is structured according to the student's university of origin.
Course Features
- Lectures 1
- Quizzes 1
- Duration 5 hours
- Skill level All levels
- Language Italian English
- Students 10
- Assessments Yes