Educational guide
IDENTIFYING DATA 2020_21
Subject CALCULUS I Code 00809002
Study programme
0808 - GRADO EN INGENIERIA MINERA
Descriptors Credit. Type Year Period
6 Basic Training First First
Language
Castellano
Prerequisites
Department MATEMATICAS
Coordinador
GÓMEZ PÉREZ , JAVIER
E-mail jgomp@unileon.es
asuac@unileon.es
Lecturers
GÓMEZ PÉREZ , JAVIER
SUAREZ CORONA , ADRIANA
Web http://
General description Differential and integral calculus with applications and some numerical methods. Introduction to multivariate calculus.
Tribunales de Revisión
Tribunal titular
Cargo Departamento Profesor
Presidente MATEMATICAS FRANCISCO IRIBARREN , ARACELI DE
Secretario MATEMATICAS MAZCUñAN NAVARRO , EVA MARIA
Vocal MATEMATICAS PISABARRO MANTECA , MARIA JESUS
Tribunal suplente
Cargo Departamento Profesor
Presidente MATEMATICAS GARCIA FERNANDEZ , ROSA MARTA
Secretario MATEMATICAS LOPEZ CABECEIRA , MONTSERRAT
Vocal MATEMATICAS RODRIGUEZ SANCHEZ , CRISTINA

Competencias
Code  
A16279
A16287
A16288
A16289
A16290
A16291
B5121
B5122
B5125
B5131
B5132
B5134
B5135
B5141
C1
C4
C5

Learning aims
Competences
A16279
A16287
A16288
A16290
A16291
B5125
B5141
B5132
B5121
C1
B5122
C4
B5134
C5
B5131
B5135
A16279
A16287
A16288
A16289
A16290
A16291

Contents
Topic Sub-topic
Differential calculus 1. PRELIMINARIES. Complex numbers, functions and graphs.
2. DIFFERENTIAL CALCULUS WITH ONE VARIABLE.Derivatives, properties and fundamenta theorems. Taylor polynomial and applications.
3. DIFFERENTIAL CALCULUS WITH SEVERAL VARIABLES. Partial and directional derivatives. Differentiability. Gradient. Optimization.
Integral calculus 4. INTEGRAL CALCULUS. Riemann integral. Integration methods. Introduction to differential equations. Improper integrals.
5. APPLICATIONS INTEGRAL CALCULUS. Areas and arclength computation. Introduction to the computation of volumes and surfaces.
Introduction to numerical methods 6. SEQUENCES AND SERIES. Sequences. Series. Applications to numerical methods of solving non-linear equations.

Planning
Methodologies  ::  Tests
  Class hours Hours outside the classroom Total hours
Problem solving, classroom exercises 28 45 73
 
Practicals using information and communication technologies (ICTs) in computer rooms 13 10 23
Personal tuition 1 0 1
 
Lecture 16 24 40
 
Practical tests 5 8 13
 
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies   ::  
  Description
Problem solving, classroom exercises Lectures where problems and theoretical questions about the contents of the course are discussed.
Practicals using information and communication technologies (ICTs) in computer rooms Lectures where problems about the contents of the course and how to solve them using software are discussed.
Personal tuition
Lecture The contents of the course are presented.

Personalized attention
 
Problem solving, classroom exercises
Lecture
Practicals using information and communication technologies (ICTs) in computer rooms
Practical tests
Description
Students can have personalized attention by making an appointment by email for office hours.

Assessment
  Description Qualification
Problem solving, classroom exercises Supondrá hasta un 10% de la calificación final
Lecture Supondrá hasta un 5% de la calificación final.
Practicals using information and communication technologies (ICTs) in computer rooms Assignment(s) to take in class using software to solve calculus problems Supondrá hasta un 20% de la calificación final
Practical tests In class tests Supondrá al menos un 70% de la calificación final.
Others Attendance 10%
 
Other comments and second call
<p>The grade wil be computed attending to two types of assessment: summative and continuous. In order to pass the course, it is necessary to obtain a grade of at least 50%. The final grade will be computed only if the student has a grade of at least 40% in every assignment and test. &nbsp;</p><p>The sumative part will be assessed with at least a test, accounting for 70% of the total grade, which might contain both theoretical and practical questions.&nbsp;</p><p>As for the continuous assessment, the students will need to attend lectures. This part will account for 10% of the total grade. Moreover, the student should attend the classes in the lab, where they will need to take a test to use specific software to solve some of these questions. This will account for 20% of the grade.</p><p>The grade of the second call will be the grade obtained in a theoretical-practical test. If the grade in the practical test is at leat 40%, it could also be taken into account.</p><p>The use of any electronic device (cell phones, tablets, etc) allowing the student to have communication with other people will be forbidden while doing the tests, as well as any material not explicitly allowed by the professor.&nbsp;</p><p>&nbsp;If a student breaks this rule, he will fail the exam and the Academic Authority of the Center will be informed so that they can follow the procedure approved by the&nbsp;Governing Council of the University on January 29th, 2015.</p>

ADDENDUM
Contingency plan due to COVID-19 emergency conditions that prevents from presence based teaching
COVID-19 Teaching Guide Addendum Access Link


Sources of information
Access to Recommended Bibliography in the Catalog ULE

Basic de Burgos, J. , Cálculo infinitesimal de varias variables, McGraw-Hill, 1995
BRADLEY, G.L. y SMITH, K., Cálculo de varias variables. , Prentice Hall. , 1998.
Larson, R.E., Hostetler, R.P., Cálculo (Volumen I y II). , McGraw-Hill, 2008
BRADLEY, G.L. y SMITH, K, Cálculo de una variable. , Prentice Hall., 1998.
GARCÍA, A. Y OTROS. , Cálculo I y Cálculo II., CLAGSA. , 1993.
de Burgos, J., Cálculo infinitesimal de una variable, McGraw-Hill, 1996
James Stewart, Cálculo. Conceptos y contextos., Thomson Learning, 1999
Zill, D.G. , Cálculo. Trascendentes tempranas, McGraw-Hill, 2011
GALINDO SOTO, F. SANZ GIL, J. y TRISTAN VEGA, L. A.,, Guía práctica de cálculo infinitesimal en una variable., Thomson., 2003.
GALINDO SOTO, F. SANZ GIL, J. y TRISTAN VEGA, L. A.,, Guía práctica de cálculo infinitesimal en varias variables., Thomson. , 2005.
Franco, J.R., Introducción al cálculo: Problemas y ejercicios resueltos, Prentice Hall, 2003
UÑA JUAREZ, I. y otros. , Problemas resueltos de Cálculo en varias variables. , Thomson. , 2007.

Complementary P. Cembranos y J. Mendoza, Cálculo Integral, ANAYA (Base universitaria),
P. Cembranos y J. Mendoza, Límites y Derivadas, ANAYA (Base universitaria),


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