- Linear Algebra (22 december)
- Matrix algebra and systems of linear equations
- ✔ Matrix operations and special matrices
- Determinants and their properties
- ✔ The inverse of a matrix
- Partitioned matrices
- ✔ Powers of a matrix
- ✔ Systems of linear equations*
- Exam exercises
- Vector spaces
- ✔ Subspaces
- ✔ Linear dependence & independence
- ✔ Basis. Coordinates. Change of basis.
- ✔ Change of basis in a finite-dimensional vector space
- ✔ Dimension and equations of a subspace*
- ✔ Operations with subspaces
- ✔ Intersection
- ✔ Sum
- ✔ Norms
- Exam exercises
- Linear transformations and matrices
- ✔ Definition and properties
- ✔ Null space and image space
- ✔ Fundamental theorem*
- ✔ Classification
- ✔ Matrix representation
- ✔ Rank of a linear transformation
- ✔ Change of basis*
- Exam exercises
- Matrix algebra and systems of linear equations
- Physics (9 january)
- Particle Kinematics
- Newton's Laws
- General dynamics of a particle
- Oscillatory motion
- Dynamics of a system of particles*
- Rigid body motion*
- Fluids
- Thermodynamics (first law)
- Thermodynamics (second law)
- Chemistry (12 january)
- Material balances
- Exercises
- Dibujo (15 january)
- Material Science (21 january)
- History and importance of materials
- Atomic structure and chemical bonding
- The structure of crystalline solids
- Real solids and diffusion
- Phase diagrams
- Mechanical properties of materials
- Functional properties
- Metallic materials
- Corrosion and degradation of materials
- Polymers
- Ceramic materials
- Composites
dec 16 2015 ∞
feb 14 2016 +
feb 14 2016 +