Planes de Estudio
Versión 1.1.5912.26662
  Vicerrectoría de Normatividad Académica 


  Course Consultation – Synthetics    
MA00816  Mathematics for Engineering II  Versión en Español
CIP:  270101  Mathematics, General.
C - L - U: 3 - 0 - 8       
Programs: 2 IA 03, 2 IAP00, 2 IAZ00, 2 IBT04, 2 IC 00, 2 IEC00, 2 IEC99, 2 IFI00, 2 IIA00, 2 IIA03, 2 IIS00, 2 IIS00L, 2 IIS03, 2 IIS03A, 2 IMA00, 2 IMD03, 2 IME00, 2 IME03, 2 IMT00, 2 IMT04, 2 IQA00, 2 IQS00, 2 ISC00, 2 ISCA00L, 2 ISE00, 2 ISI00, 2 ITC01, 2 ITC02, 2 ITE01, 2 ITE02, 2 LCDE05, 2 LCQ00, 2 LCQ04, 2 LEC00, 2 LEC03, 2 LEC04, 2 LLN05, 2 IIS00A, 2 IIS00B, 2 IMA00A, 2 IME00A, 2 IME03A
Prerequisites: ( MA00815 )
Equivalences: MA1004, MA1014, MA95816
Course objective:
The process of integration. The concept of differential. The definition and calculation of anti-derivatives. Area under the curve. Fundamental theorem of calculus and Riemann integration. Integration methods and improper integrals. Integration by parts. Integration of powers of sine and cosine functions. Trigonometric substitution. Partial fractions. Indeterminate forms. Improper integrals. Definite Applications of definite integral. Areas under the curve and between curves. Volumes. Series. Sequences. Convergent series and criteria of convergences. Alternate series. Absolute and conditional convergence. Power series. Taylor series. Matrix. Types of a matrix. Elemental operations with matrixes. Determinants. Adjoint matrix. Inverse of a matrix. Bibliography: .
Suggested Bibliography:
TEXT BOOKS:
* Cienfuegos, Dora Elia., Algebra de matrices, , , , , Español, [No tiene]
* Larson, Roland E., Cálculo y geometría analítica, 6a ed., McGraw-Hill, , 1999, Español,
* Larson. HosTetler. Edwards, Calculus. Early transcendental functions, , Heath., , , eng,

BOOKS FOR CONSULTATION
* Stewart, James,, Cálculo : conceptos y contextos, , , , , ,
* Stewart, James, 1941-, Cálculo : diferencial e integral, , Thomson Editores, , 1999, Español,
* Dennis G. Zill, Cálculo con geometría analítica, , Grupo Editorial Iberoamérica, , , esp,
* Thomas, George Brinton,, Cálculo, una variable, , , , , ,
* Zill, Dennis G., 1940-, Ecuaciones diferenciales con aplicaciones de modelado, 1a ed., International Thomson Editores, , 1997, Español,
* Leithold, Louis., El cálculo con geometría análitica, 7a ed., Harla, , 1998, Español,
* Sydsaeter, Knut, Matemáticas para el análisis económico, , , , , ,

Academic credentials required to teach the course:
    · Areas in which the academic degree is required (do not refer names of programs):

Master Degree in Mathematics; Master Degree in Physics; Master Degree in Engineering; Doctoral Degree in Mathematics; Doctoral Degree in Physics; Doctoral Degree in Engineering
CIP: 270101, 400801, 140101

    · Recommended Experience:




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