Ma MATHEMATICS
Reinforces the principles of algebra, analytic geometry, and trigonometry required in the mathematics program of the study program (special emphasis is given to the formulation of mathematical models). Study diagrams. Algebraic expressions. Equations. Inequalities. Trigonometric functions. Fundamental identities. Straight lines. Circumference. Parabola. Ellipsis. Hyperbola. General quadratic equation. Functions and their graphs. Modeling situations that lead to simple, quadratic or trigonometric functions. Textbook: Silva and Lazo, Fundamentos De Matemáticas, Limusa.
CAMPUS: ALL CAMPUSES
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00802 . MATHEMATICS FOR DESIGN
"Functions, limits, derivatives, curve tracing, trigonometric functions, problems of greatest common factor and least common multiple, logarithmic functions, inverse functions, definitive and indefinite integrals, exponential and hyperbolic. Application of these topics in design. Notions of Euclidean geometry , spherical geometry and geometry fractal."
Provides the students with mathematical tools for the analysis of the function of an independent variable, using differential calculus. Real numbers. Inequalities and absolute value. Numerical, algebraic and geometrical analysis of linear, potential, polynomial and rational, exponential, inverse, logarithm, natural logarithm and trigonometric functions. Derivative of a function, its practical interpretation and theorems on derivatives. Function optimization. Textbook: chosen from the bibliography list according to the professor's criteria. Bibliography: Deborah Hughes-Hallett, Andrew M. Gleason, et al, Calculus, John Wiley & Sons, Inc. Laurence D. Hoffmann and Gerald L. Bradley, Cálculo Aplicado a Administración, Economía, Contaduría Y Ciencias Sociales, McGraw-Hill, quinta edición. Roland E. Larson, Robert P. Hostetler and Bruce H. Edwards, Brief Calculus with Applications, Heath and Company. Ronald J. Harshbarger and James J. Reynolds, D.C., Calculus with Applications, Heath and Company. Frank S. Budnick, Matemáticas Aplicadas Para Administración, Economía y Ciencias Sociales, McGraw-Hill, tercera edición.
CAMPUS: ALL CAMPUSES
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Provides the student with tools for integral calculus in one-variable functions and introduction to differential calculus of independent 'n' variable functions, matrix algebra and matrix for solving problems. Differentials, anti- differentiation, definite integral. Parts integration method. Differential equations of separable variables. Progressions and geometrical series. Various variable functions and optimization. Matrix and determinants. Simple equations systems. Gauss method. Textbook: chosen from the bibliography list, according to the professor's criteria. Bibliography: Deborah Hughes-Hallett, Andrew M. Gleason, et al, Calculus, John Wiley & Sons, Inc. Laurence D. Hoffmann and Gerald L. Bradley, Cálculo Aplicado a Administración, Economía, Contaduría Y Ciencias Sociales, McGraw-Hill, quinta edición. Roland E. Larson, Robert P. Hostetler and Bruce H. Edwards, Brief Calculus with Applications, Heath and Company. Ronald J. Harshbarger and James J. Reynolds, D.C., Calculus with Applications, Heath and Company. Frank S. Budnick, Matemáticas Aplicadas para Administración, Economía Y Ciencias Sociales, McGraw-Hill, tercera edición.
CAMPUS: ALL CAMPUSES
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00813. STATICS FOR THE SOCIAL SCIENCES
Prerequisite(s): None
"To foster in the student the capacity to organize and summarize data,
as well as to teach him the way to make
decisions when he/she has a great quantity of data, only by examining a small
part of them. To familiarize the student
with the concept of variability. To consider Statistics as a science in which
the development, method application and
collection techniques, analysis and interpretation of quantitative data in a
social research is led in such a way that the
reliability of the conclusions based on these data should be evaluated objectively
by means of probabilistic laws ."
LANGUAGE OF INSTRUCTION: SPANISH
Ma00815. MATHEMATICS FOR ENGINEERING I
Functions: definitions, image and graphics. Mathematical operations with functions. Limit: special limits; continuity. Derivatives: derivatives as a reason for change through the numerical and geometrical form; derivative of a function and its interpretation. Theorems on derivatives and, lastly, functions optimization.
CAMPUS: VER, CHIS, CHIH, CCM, C. JUA, OBRE, COL, CEM, GDA, HID, LAG, LEO, MAZ, MTY, CVC, QRO, SALT, SLP, SIN, SON, TAMP, TOL, ZAC.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00816. MATHEMATICS FOR ENGINEERING II
The integration process. Concept of differential. Antiderivative definition and calculus. Area under the curve. Fundamental theorem of calculus and Riemann integral. Integration methods and improper integrals. Parts integration. Integration of values of sine and cosine functions. Trigonometric substitution. Partial fractions. Undefined forms. Improper integrals. Definite integral applications. Areas under the curve and between curves. Volumes. Series. Successions. Convergent series and convergence criteria. Alternating series. Absolute and conditional convergence. Value series. Taylor series. Matrix. Types of matrix. Elemental operations with matrix. Determinants. Adjunct matrix. Inverse of a matrix.
ACAD. PERIOD: SPRING & FALL
CAMPUS: VER, CHIS, CHIH, CCM, C. JUA, OBRE, COL, CEM, GDA, HID, LAG, LEO, MAZ, MTY, CVC, QRO, SALT, SLP, SIN, SON, TAMP, TOL., ZAC.
LANGUAGE OF INSTRUCTION: SPANISH
Ma00817. MATHEMATICS FOR ENGINEERING III
Provides the student with the fundamental knowledge of differential and integral calculus of real variables that will be used in the interpretation, settlement and resolution of specific problems. Differential calculus of various variable functions. Partial derivatives. Function optimization. Multiple integration. Double and triple integrals. Integration in polar and cylindric coordinates. Vectorial functions in R2 and R3. Elements of vectorial analysis. Textbook: chosen from the bibliography list, according to the professor's criteria. Bibliography: Dennis G. Zill, Cálculo con Geometría Analítica, Grupo Editorial Iberoamérica. Deborah Hughes-Hallett, Andrew M. Gleason, et al, Calculus, Wiley. Thomas Finney, Calculus and Analytic Geometry, Addison-Wesley, octava edición. Larson Hostetler, Cálculo Y Geometría Analítica, McGraw-Hill, quinta o sexta edición, Louis Leithold, Cálculo Con Geometría Analítica, Harla, sexta edición. Purcell and Varberg, Cálculo Con Geometría Analítica, Prentice Hall, sexta edición.
CAMPUS: VER, CHIS, CHIH, CCM, C. JUA, OBRE, COL, CEM, GDA, HID, LAG, LEO, MAZ, MTY, CVC, QRO, SALT, SLP, SIN, SON, TAMP, TOL, ZAC.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00821. MATHEMATICS FOR MEDICINE
Encourages the ability for data analysis and inferences; introduces the student to biostatistics. Descriptive statistics. Sets. Probability. Aleatory variables. Binomial distribution. Poisson and normal. Distribution in sampling. Estimate. Hypothesis and regression tests; simple linear correlation. Textbook: Daniel W. Wayne, Bioestadística, Noriega-Limusa, tercera edición.
CAMPUS: MTY
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Provides the student with basic knowledge of differential calculus of a real variable that will be used in the interpretation, settlement, and resolution of specific problems. Functions. Numerical, algebraic and geometrical analysis of polynomial, rational, algebraic, sectioned, exponential and hyperbolic functions. Limit of a function; special limits and continuity. Derivative: derivative as a reason for change through the numerical and geometrical form. Derivative of a function, its practical interpretation and theorems on derivatives. Function optimization. Textbook: chosen from the bibliography list, according to the professor's criteria. Bibliography: Dennis G. Zill, Cálculo Con Geometría Analítica, Grupo Editorial Iberoamérica. Deborah Hughes-Hallett, Andrew M. Gleason, et al, Calculus, Wiley. Thomas Finney, Calculus and Analytic Geometry, Addison-Wesley, 8th edition. Larson Hostetler, Cálculo y Geometría Analítica, McGraw-Hill, quinta o sexta edición. Louis Leithold, Cálculo Con Geometría Analítica, Harla, sexta edición. Purcell and Varberg, Cálculo Con Geometría Analítica, Prentice Hall, sexta edición.
CAMPUS: VER, CHIS, CHIH, CCM, CEM, MTY, CVC, QRO, TOL.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Acknowledges statistics as a science whose methodology provides the opportunity to evaluate and consider discrepancies between reality and the mathematical patterns proposed for its explanation. Systematic management of phenomena that involve aleatory variations as well as development of a critical thinking to understand the possibilities and limitations of an experimental research. The themes to be studied are as follows: Basic elements of probability. Distributions and densities of probability. Mathematical hope. Discrete distributions. Continuous distributions. Functions of aleatory variables. Descriptive statistics. Textbook: John E. Freund and Ronald E. Walpole, Estadística Matemática Con Aplicaciones, Prentice Hall.
CAMPUS: VER, CCM, C. JUA, OBRE, COL, CEM, GDA, LAG, LEO, MAZ, MTY, CVC, SALT, SIN, SON, TAMP, TOL, ZAC.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Provides the student with statistical tools for the development of statistical theory that supports the applications in their respective action fields. Emphasizes the use of statistical methodology in trustful decision-making. Sample distributions. Punctual estimate. Estimate per intervals. Hypothesis test (theory and applications). Theory of decisions. Textbook: John E. Freund and Ronald E. Walpole, Estadística Matemática Con Aplicaciones, Prentice Hall.
CAMPUS: VER, CCM, C. JUA, COL, CEM, LAG, LEO, MAZ, MTY, CVC, SALT, SIN, SON, TAMP, TOL, ZAC.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00835. PROBABILITY AND STATISTICS
Development of skills for distinguishing and establishing patterns describing aleatory phenomena in the engineering field. Probability. Binomial distribution. Hypergeometry. Poisson. Geometry and negative binomial. Uniform, exponential and normal distribution. Descriptive statistics. Estimate, inference and adjustment test. Textbook: J.S. Milton and Jesse C. Arnold, Introduction to Probability and Statistics: Principles and Applications for Engineering and Computing Sciences, McGraw-Hill.
CAMPUS: VER, CHIS, CHIH, CCM, C. JUA, OBRE, COL, CEM, GDA, HID, LAG, LEO, MAZ, MTY, CVC, QRO, SALT, SLP, SIN, SON, TAMP, TOL, ZAC.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00841. DIFFERENTIAL EQUATIONS
Introduces students to the study of ordinary differential equations and their different solution methods for the development of skills in model engineering problems, as well as for solving those models and interpretation of the obtained answers. Differential simple equations with applications. Quadratic equations of a straight line. Differential equations solved by power series. Laplace transformed. Numerical methods. Textbook: chosen from the bibliography list, according to the professor's criteria. Bibliography: F. Simmons, Ecuaciones diferenciales con aplicaciones y notas históricas, McGraw-Hill, segunda edición, 1993. R. Kent Nagle-Edward B. Saff, Fundamentos De Ecuaciones Diferenciales, Addison-Wesley Iberoamericana, 1992. Dennis G. Zill and PWS. Kent, Differential Equations, 5th edition, 1992. C.H. Edwards Davis E. Penney, Ecuaciones Diferenciales Elementales, Prentice Hall, 1994. Isabel Carmona, Ecuaciones Diferenciales, Alhambra, cuarta edición, 1992.
CAMPUS: VER, CHIS, CHIH, CCM, C.JUA, OBRE, COL, CEM, GDA, HID, LAG, LEO, MAZ, MTY, CVC, QRO, SALT, SLP, SIN, SON, TAMP, TOL., ZAC
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Provides the student with the basic tools of linear algebra in order for him/her to interpret, develop and solve problems, both academic problems (solving linear equation systems, generation of vectorial spaces, etc.), and those problems related to the student's field of study (theory of sets, population growth, Markov chains, linear programming, optimization, etc.) Linear equation systems and matrix. Determinants. Vectorial spaces. Linear transformations. Characteristic values and vectors, and applications. Textbook: Anton Howard, Introducción Al Álgebra Lineal, Limusa.
CAMPUS: MTY
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH
Ma00844. MATHEMATICS FOR ECONOMICS
Provides students with the necessary tools for the resolution of ordinary differential equations of a straight line. Differential equations of separable variables and reducible to separable form. Exact differential equations. Differential equations of a straight line in one variable. Differential equations of a straight line in a function. Non-linear differential simple and quadratic equations. The qualitative graphical approach. Applications to economics. Simple differential equations. Simple equations in linear differences with constant coefficients. Mechanics of a solution of an equation in differences. Balance and stability. Applications to economics. Mathematical programming through linear programming. The graphical solution. Simplex method. Dual of a linear programming problem. Textbook: Jean Weber, Matemáticas para la Administración Y Economía, Editorial Harla, cuarta edición.
CAMPUS: VER, CCM, C. JUA, COL, CEM, LAG, LEO, MAZ, MTY, CVC, SALT, SIN, SON, TAMP, TOL, ZAC.
ACAD. PERIOD: SPRING & FALL
LANGUAGE OF INSTRUCTION: SPANISH