**Bachelor’s Degree in Mathematics**

### Career Objectives

-To capture aspects of reality through the creation of a*mathematical models which represents it, in order to know it better and be able to manage yourself within its logic.

### Professional Profile

-Professional of scientific research and university teaching.

-With a modern and solid training in mathematics, qualified not only to perform university teaching efficiently, but also to participate in the resolution of problems presented in applied or technological research; such as Simulation of situations through computer, from the response of a physical structure to a quake to the effect of a blow on a skull, where, in order to be accurate to reality, the use of *numerical analysis is needed.

Or theories that deal with nature, society and even the behavior of the individual where Mathematics provides a rigorous language with which they can express in a precise, clear way and devoid of ambiguities and inconsistencies.

With the Bachelor’s degree he will be able to opt for the following postgraduate studies:

Title of Statistician (1 year)

Master in Statistics (2 years)

Doctorate in Statistics (5 years)

Master in Mathematics (2 years)

Doctorate in Mathematics (5 years)

Mathematics Teacher (1 year)

Postgraduate studies, in addition to Mathematics, can be in Physics, Computer Science, Economics and many other fields.

Currently, those who wish to engage in research or teaching at a higher level should be willing to undertake postgraduate studies.

### Specific tasks or activities carried out in the profession

As a researcher, with the degree of Master or Doctor:

He participates in the resolution of problems presented in mathematical research, applied or technological research and for this:

He poses a problem and works on its solution.

He designs theories and tries to develop them.

He creates *mathematical models that are used to simulate the behavior of a system, watching how it would react when changing the conditions to predict its behavior under other circumstances.

He imagines *theorems and proposes their demonstration.

He solves problems that have been proposed by others in the field of mathematics or any discipline that uses them such as Astronomy and Geodesy, among others.

As Graduate in Mathematics:

He performs teaching in Professional Institutes and in the first levels of College Education.

He carries out data processing and programming in the business world.

He performs tasks and activities of *logistics for the coordination, establishment and planning of distribution routes, warehouses optimization, etc.

### Occupational Field

-Universities

-Research and Study Centers of Mathematics, at a local and international level

-Professional Institutes

-Public Companies

-Commercial and Service Companies

-Industries

-Banks

-Technical Advice Institutes

In addition, as Master or Doctor in Mathematics, you can join areas such as Astronomy or Geodesy.

### Estimated time of College years:

4 to 5 years

### Main courses considered in the syllabus.

Professional Training Courses

-Algebra and Geometry (2 semesters)

-*Analytic Geometry

-*Linear Algebra (2 semesters)

-*Calculus (2 semesters)

-*Statistics and *Probability

-Mathematical Analysis (2 semesters)

-*Computer Science

-Laboratory in Mathematics (2 semesters)

-Algebraic Structures (2 semesters)

-*Differential Equations

-Finite Mathematics

-*Programming

-*Numerical Analysis

-General Topography

-Algebraic Number Theory

-Complex Analysis

-Functional Analysis

-History and Foundations of Mathematics

### Vocation, Skills and Interests required in the candidate to this career

### Interests

-Give importance to the quantification of the facts that interest him.

-Inclination to the use of guidelines, schematizations and graphs for the analysis of a situation.

-Curiosity for the abstraction of logical relationships present in the phenomena of reality.

-Motivation for the demonstration of mathematical formulas.

-Appreciation for rigor in Mathematics

-Interest in the knowledge and scientific substantiation.

-Attraction by games of wit.

### Skills

Abstraction capacity, which is, to consider an object or phenomenon in its essence; or mentally isolating each one of its characteristics.

Analysis Capacity, that is, to decompose the object studied in its basic parts and then to see the relationship between those parts.

Inductive ability, that is, to reason from the facts of a phenomenon to come to the laws that govern it.

-Ability in the use of concepts and symbolism.

-Comprehension in the handling of set language.

-Capacity to learn and apply new techniques in the field of Applied Mathematics, *Computing and *Statistics.

### Vocation

-To capture and understand that relations and proportions that underlie things. That order, that logic, which indicates there underlies intelligence; and thus, broaden the horizons of human knowledge.

Or any specific dream or longing which feels involved or oriented towards this direction.

### Candidate Personality

Urban

Patient

Observer

Critic

Methodical

### Work Scope

Office

Classroom

Computer Labs

### Related Careers

-Engineering Mathematics, Computer Science, Actuarial Science, Bachelor’s degree in Statistics, Mathematics Pedagogy.

### *Glossary of Terms

* Linear Algebra: Part of mathematics corresponding to the in-depth study of vectors, their operations and where they are used.

*Numerical Analysis: Numerical Analysis is the branch of mathematics that is in charge of designing *algorithms to simulate more complex mathematical processes applied to processes of the real world through numbers and simple mathematical rules.

*Algorithms: list of operations that allows finding the solution to a problem.

*Calculus, *Different Equations:

Unit of mathematics that is in charge of the dynamic factors of reality, dealing with concepts of derivatives or antiderivatives (or integrals) and their operations, where the derivative of a function delivers the notion of how fast a function increases (or decreases) in a given point.

*Computer Science: Study of the theoretical bases of information and computing and their application in computer systems.

*Computing: Term associated with the calculation, processing, and handling of data.

*Statistics (Course): Study of the collection, presentation, processing and analysis of data, in order to summarize and describe the characteristics of a data set. To know in detail a set of data, it is not enough to know the measures of central tendency, but also we need to know the deviation (*Dispersion Measure) which represent the data in its distribution with respect to the *arithmetic mean (average), in order to have a vision of them, more in line with reality when describing and interpreting them.

*Analytic Geometry: It is the one that approaches geometric problems through graphics with the use of coordinates. This allows them to be transformed into algebraic problems.

*Computer Language: Language understood by a computer.

*Logistics: Set of means and methods necessary to carry out the organization of a company, or a service, especially of distribution.

*Mathematical Model: It is the mathematical representation of relations between entities, variables or operations, in order to study the behavior of complex systems in situations difficult to observe in reality.

*Probability: Study of the frequency with which an event occurs or a result (or set of results) is obtained by carrying out a random experiment, from which all possible results are known under sufficiently stable conditions.

*Programming: Study of the design and realization of a computer program, first, determining the steps the program will carry out and then its translation to a *computer language.

*Theorem: It is a proposition which its evidence hasn’t been proved yet.

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