Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

● Principles of Mathematics

● Physics

PRINCIPLES OF MATHEMATICS

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

Title of the Course:

Student Workload:

Compulsory/Elective:

Objetives:

Principles of Mathematics

Sem. Module Lec. Recite Lab. Project HW.Field study

Other Total Credit

1 1 45 30 75 3

Compulsory

1. Familiarizar al alumno con el lenguaje matemático, con el método deductivo y con las actividades de abstracción y aplicación que hacen a las Matemáticas fecundas en la Técnica.

2. Suministrar al alumno el instrumento matemático que necesitará para el estudio de otras disciplinas de su carrera.

3. Proporcionar al alumno un repertorio de conceptos fundamentales, métodos de razonamiento y técnicas de análisis o cálculo, adaptado a sus futuras necesidades profesionales.

Prerequisites: -

Learning Outcomes: 1. Work with vectorial spaces and know how to change the base.

2. Know the concept and meaning of matrix and know how to work with them.

3. Resolve determinants.

4. Recognise the different types of equation systems and know how to resolve them.

5. Calculate the equations of the various geometric elements in the plane and the space.

6. Understand and work with trigonometric functions and complex numbers.

7. Determine the converging of series and calculating them.

8. Study the real functions reales determining their continuity, maxims, minims.

9. Interprete and calculate derivatives of real functions.

• T.M. APOSTOL, Calculus. Ed Reverté Barcelona. (Parte I y II).

• A. GARCIA, A. LOPEZ y OTROS, Teoría y problemas de funciones de varias

• variables. AGLI, S.L. Madrid 1996. (Parte II)

• M. SPIVAK, Calculus, Vol 1 y 2. Ed. Reverté. Parte II (3 y 4)

• Prentice Hall: Álgebra. Smith y otros. (2001).

• Serie AWLI .Álgebra lineal y sus aplicaciones. David C. Lay 2ª edición (2001)

Assessment Criteria:

Criteria: Any (X) Percent (%)

Midterm Exams: X 30

Quizzes:

Homework: X 15

Projects:

Term Paper:

Laboratory Work:

Other: ATTENDANCE 5

Committee Exam:

Final Exam: X 50

Bibliographical Ref.

PRINCIPLES OF MATHEMATICS

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

Course Content: Week Subjects

1 Vectorial spaces and changes of bases.

2-3 Matrices. Determinatives. Operations and properties.

4 Lineal equation systems. Gauss Resolution. Cramer´s Rule. Diagonalization.

5Related and euclidean geometrics: Straight and plane equation. Relative positions. Angles and distances measurements.

6 Trigonometric functions.

7 Complex numbers.

8-9 Sequences and series. Convergence.

10 Functions of real variability. Limits y continuity.

11-12Derivativility of real functions. Geometric interpretation. Taylor´s development. Calculation of maximums y minimums.

13 Riemann´s integral. Barrow´s rule.

14-15 Indefinite integral . Methods of integration

PRINCIPLES OF MATHEMATICS

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

PHYSICS

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

Title of the Course:

Student Workload:

Compulsory/Elective:

Objetives:

Physics

Sem. Module Lec. Recite Lab. Project HW.Field study

Other Total Credit

2 1 45 10 5 15 75 3

Compulsory

1. Acquire a conceptual understanding about the size and fundamental principles in the field of classical physics and its applications in the field of engineering.

2. Contrast, if posible, theoretical results and their practical applications.

3. Get used to the usual terminology and methodology in the fields of science and technology.

4. Develop reasoning capacity to resolve problems and exercises, from the theoretical concepts exposed in class and in combination with the provided mathematical tools given to the trainee throughout their educational background.

Prerequisites: -

• Física para la ciencia y la tecnología; P. A. Tipler, Reverté arg., 1999.

• Física universitaria; F. W. Sears, M. W. Zemansky, H. D. Young, R. A. Freedman; Addison-Wesley Longman arg., 1998.

• Física; M. Alonso , E. J. Finn; Addison-Wesley Iberamericana arg., 1995.

• Física para ingeniería y ciencias (Teoría y 695 problemas resueltos); Dare A. Wells, Harold S. Slusher, Schaum Seriea, McGraw Hill, 1985.

• Problema de Física; R. V. Giles, J. B. Evett, C. Liu; Schaum Seriea; McGraw Hill, 1994.

Assessment Criteria:

Criteria: Any (X) Percent (%)

Midterm Exams: X 25

Quizzes:

Homework: X 10

Projects: X 10

Term Paper:

Laboratory Work: X 10

Other:

Committee Exam:

Final Exam: X 45

Bibliographical Ref.

PHYSICS

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

Course Content: Week Subjects

1 Introduction: Dimensions, units of measure. Measures and their errors.

2 Statics

3 Particle cynematics

4 Particle dynamics

5 Work and energy

6 Particle system dynamics

7 Rotation of rigid solid dynamics.

8 Fluid statics.

9 Hydrodynamics.

10 Simple harmonic vibrating movement

11 Waves.

12 General wave properties.

13 First thermodynamic principle

14 Ideal gases

15 Second thermodynamic principle

PHYSICS

Main Module 1Fundamentals

MODULE 3BASIC SCIENCES

Thank youfor your attention