The school consists of two areas: the Department of Mathematics and the Department of Computational Sciences and Engineering.
We strive to provide great flexibility in the last two years of curriculum, allowing students to explore their own interests, either within the school or in other disciplines of Yachay Tech.
All Yachay Tech programs start with a common core that is covered during the first two years. This includes a solid introduction to physics, chemistry, biology and geology. The third year consists of compulsory school courses, some of which are shared between departments.
The fourth year contains half in compulsory courses, and half of elective courses, and the fifth year includes an internship and a final project leading to a thesis.
PURE MATHEMATICS: Abstract Algebra *, Differential Geometry *, Complex Analysis, Number Theory, Algebraic Geometry, Operator Theory, Topology.
APPLIED MATHEMATICS: Continuous optimization *, Numerical methods for PDE's *, Optimal control, Operations research, Discrete optimization, Inverse problems, Financial mathematics.
HYBRID: Stochastic processes *, Variational calculus *, Theory of approximation, Harmonic analysis.
These subjects will be offered annually.
Of the ten professional electives, students must take at least three courses of pure mathematics and at least three courses of applied mathematics.
Hybrid electives can count as pure mathematics or applied mathematics. That leaves the possibility of taking at most four additional courses in MAT or in another discipline.
Discussion of research articles.
Familiarization with laboratories and research methods.
Writing and oral expression in science.
EXPLORE-KNOW-LEARN
Formulation of small innovation-research projects.
Execution of assisted research tasks.
Presentation of reports, posters, and seminars of scientific dissemination.
Writing and oral expression in science.
PRACTICE-CRITICAL THINKING-CONSTRUCT
Formulation, execution and publication of project of degree.
Verification of hypotheses, emergence of innovative solutions or didactic tools.
Professional experience in internships or internships.
Writing and oral expression in science.
INNOVATE-RESEARCH-TRANSFORM
A Mathematician manages to
- Apply basic mathematical knowledge and its interrelation with science
- Act in the exercise of his/her profession with ethical responsibility and respect for discrepancies and plurality of cultures, ethnicities and opinions
- Appreciate the importance of knowledge of history.
A Mathematician will be able to:
- Achieve problem solving in multidisciplinary groups.
- Optimize processes through the understanding of an environment in an organization at any level, providing mathematical models that yield exact or approximate solutions.
APPLIED MATHEMATICS: Mathematical Logic, Complements of Abstract Algebra, Algebraic Geometry, Numerical Analysis II, Dynamical Systems, Numerical Methods for Partial Differential Equations, Geometry of Curves and Surfaces, Harmonic Analysis, Introduction to Theory of Distributions, Calculus of Variations, Linear Models, Stochastic processes, Functional programming, Databases.
Discussion of research articles.
Familiarization with laboratories and research methods.
Writing and oral expression in science.
EXPLORE-KNOW-LEARN
Formulation of small innovation-research projects.
Execution of assisted research tasks.
Presentation of reports, posters, and and scientific dissemination seminars.
Writing and oral expression in science.
PRACTICE-CRITICIZE-BUILD
Formulation, execution and publication of degree project.
Testing of hypotheses, emergence of innovative solutions or teaching tools.
Professional experience in practices or internships.
Writing and oral expression in science.
INNOVATE-INVESTIGATE-TRANSFORM;