Course code: 252206 | Subject title: MATHEMATICS II | ||||
Credits: 6 | Type of subject: Basic | Year: 1 | Period: 2º S | ||
Department: Estadística, Informática y Matemáticas | |||||
Lecturers: | |||||
ROLDAN MARRODAN, ANGEL TEODORO (Resp) [Mentoring ] |
General proficiencies that a student should acquire in this course:
Specific proficiencies that a student should acquire in this course:
At the end of the course, the student is able to:
O1. Apply the basic elements of differential calculus on several variables: gradient, divergence, curl, Stokes theorems.
O2. Apply the basic elements of integral calculus in several variables, e.g., to determine the length of a curve, the area of a surface, the volume of a solid,... using integrals, and use numerical differentiation and integration techniques.
O3. Apply Calculus to Engineering.
O4. Understand the concept of differential equation, and solve basic ordinary differential equations.
O5. Apply partial differential equations: wave equation and heat equation.
Methodology - Activity | On-site hours | Off-site hours |
A-1: Theoretical lessons | 45 | |
A-2: Practical lessons | 15 | |
A-3: Individual study | 75 | |
A-4: Tutoring and exams | 15 | |
TOTAL | 75 | 75 |
Proficiency | Activities |
CG3: Knowledge of basic and tecnological subjects to have the ability to learn new methods and theories, and versatility to adapt to new situations. | A-1: Theoretical lessons A-2: Practical lessons A-3: Individual study A-4: Tutoring and exams |
CG4: Problem solving proficiency with personal initiative, decision making, creativity and critical reasoning. Ability to elaborate and communicate knowledge, abilities and skills in engineering. | A-1: Theoretical lessons A-2: Practical lessons A-3: Individual study A-4: Tutoring and exams |
CFB1: Ability to solve mathematical problems in engineering. Ability to apply theoretical knowledge on linear algebra, geometry, differential geometry, calculus, differential equations, numerical methods, algorithms, statistics and optimization. | A-1: Theoretical lessons A-2: Practical lessons A-3: Individual study A-4: Tutoring and exams |
Learning outcome |
Assessment activity |
Weight (%) | It allows test resit |
Minimum required grade |
---|---|---|---|---|
All | Long-answer exam questions | 60 | Yes (in the final exam) | 5 |
All | Individual work | 30 | Yes (in the final exam) | 5 |
All | Practical exam questions | 10 | Yes (in the final exam) | 5 |
For assessment purposes, the course is divided into two parts:
In order to pass the subject the average mark of all two parts must be greater or equal than 5. The mark on a final exam covering the whole course (to be scheduled during the resit assessment period) is not less than 5. Only students who did not pass the course by continuous assessment can sit this exam.
Vector functions of several variables.
Integral Calculus of functions of several variables. Applications.
Ordinary and partial differential equations.
Use of Mathematica and Wolfram Alpha computational intelligence for solving integral and differential problems.
Access the bibliography that your professor has requested from the Library.
Basic bibliography:
Additional bibliography: