# AAT B1

## Description

Define the scientific problems to be solved, and compare existing solutions to each problem, taking into account cutting-edge developments.

## Progression

M1 ():

M2 ():

M3 ():

## AAv List (65)

01_XBMAT-AAv3 (35H): At the end of this course, each student knows how to implement fundamental analysis techniques concerning the study of numerical functions of the real variable (limits , derivation, basic integration) to solve optimization problems with a real variable in particular. He knows how to apply these techniques to solve simple concrete problems.

01_XBMAT-AAv5 (12H): At the end of this course, each student knows how to study a parameterized curve and draw it. He also knows how to configure an elementary curve (segment, circle, etc.). Precisely :

01_XBMAT-AAv7 (17H): At the end of this course, students will be able to model and solve an elementary problem involving discrete probabilities.

02_XASHI-AAv1 (10H): At the end of the semester the student must be able to apply the scientific approach (data collection, sorting of hypotheses, protocol, conclusion) to evaluate the validity of a statement proposed by the teacher or student themselves

02_XBALG-AAv3 (14H): At the end of this course, the student masters matrix calculation (sum, product, inverse, determinant) and is able to recognize an algebra problem linear in a concrete situation.

02_XBALG-AAv4 (15H): At the end of this course, the student knows how to diagonalize a square matrix and geometrically interpret the characteristic elements (eigenvalues, eigenvectors, eigensubspaces) . He can apply this to situations relating to the resolution of a system of recurring sequences, the calculation of the power of a matrix, the resolution of a linear differential system with constant coefficients.

02_XBANA-AAv2 (18H): At the end of this course, each student knows how to solve a physical problem modeled by first and second order differential equations.

02_XBANA-AAv3 (8H): At the end of this course, each student is able to model and solve an elementary continuous probability problem.

02_XCELE-AAv2 (30H): At the end of the 2nd semester, the student will be able to qualitatively and analytically determine the temporal expression of the response of a circuit of the 1st order for a given excitation. He will be able to exploit the properties of the passive components used to determine the reactions of the circuit to input discontinuities and in continuous steady state. He will be able to differentiate what constitutes transient phenomena, evaluate their duration and determine the expression of the output signal of the circuit in steady state. The result can always be sketched in time agreement with the input signal.

02_XCELE-AAv3 (30H): At the end of the 2nd semester, the student will be able to describe the properties of a system according to the frequency of the input signals. To do this, he will have determined the complex transfer function of each circuit and identified in it the parameters allowing the drawing of the Bode diagram of the system. He will verify his result using the properties of passive dipoles as a function of frequency making it possible to simplify the diagram and obtain the equations of the asymptotes of the Bode diagram.

04_XBANA-AAv1 (25H): At the end of this course, each student knows how to calculate double and triple integrals, and use these notions to determine volumes, surface areas, coordinates of a center of inertia or the inertia matrix of a solid.

04_XBANA-AAv3 (15H): At the end of this course, each student knows how to determine the circulation of a vector field (resp. the curvilinear integral of a differential form) and apply this notion in different situations (electric field, magnetic field, speed of a fluid at a point, etc.).

04_XCELE-AAv4 (30H): At the end of the 4th semester of electronics, the student will be able to propose a circuit respecting specifications. The specifications will be specified in the form either of several parameters characteristic of a cell of order 2 (type, amplification coefficient, natural frequency, damping coefficient) or by a frequency template. The student will be able to check the conformity of his proposal with the specifications using simulation software (Python/Numpy/Scipy and LTspice).

04_XSZG4-AAv1 (10H): Given a given problem, using the indications provided, students can rigorously propose hypotheses to explain the dynamic behavior of a solid, identifying the appropriate mathematical tools.

04_XBANA-AAv1 (20H): At the end of this course, each student will be able to calculate double and triple integrals, and use these concepts to determine volumes, surface areas, the coordinates of a center of inertia or the inertia matrix of a solid.

04_XBANA-AAv3 (8H): At the end of this course, students will be able to calculate probabilities for pairs of continuous (joint law, marginal laws) or discrete random variables.

04_XBANA-AAv4 (9H): At the end of this course, each student knows how to determine the circulation of a vector field (resp. the curvilinear integral of a differential form) and apply this notion in different situations (electric field, magnetic field, speed of a fluid at a point, etc.).

04_XBPST-AAv1 (25H): At the end of the Probability and Statistics course, students will be able to use classical probability laws (discrete and continuous) and approximation results (law of large numbers, central limit theorem) to model a situation with one or more precisely defined random variables and determine their law.

04_XBPST-AAv2 (20H): At the end of the Probability and Statistics course, students will be able to answer computational questions about random variables, including calculating their distribution.

04_XDELE-AAv4 (30H): At the end of the 4th semester of electronics, the student will be able to propose a circuit respecting specifications. The specifications will be specified in the form either of several parameters characteristic of a cell of order 2 (type, amplification coefficient, natural frequency, damping coefficient) or by a frequency template. The student will be able to check the conformity of his proposal with the specifications using simulation software (Python/Numpy/Scipy and LTspice).

05_XASHI-AAv1 (10H): At the end of the human sciences course in semester 5, the student must be able to identify and explain in a prescribed format a societal or environmental need included in the objectives of the sustainable development on its scale.

05_XDASA-AAv1 (15H): At the end of the semester, students will be able to model in the form of an exploitable transfer function a linear and time-invariant system (SLIT) with one input and an output (SISO) described by a system of mechanical and/or electrical equations, and to criticize the domain of validity of this modeling.

06_XBSTA-AAv1 (25H): At the end of this course, each student will be able to carry out a parametric point and confidence interval estimation problem in the context of sampling.

06_XBSTA-AAv2 (26H): At the end of this course, each student will be able to carry out a hypothesis test (test of independence, suitability for a law, proportion, mean and variance).

06_XDELP-AAv1 (12H): At the end of semester S6, the student will be able to determine the instantaneous and average power consumption and energy stored in a given linear circuit (or described by a statement) including resistive, capacitive and inductive effects.

06_XDELP-AAv2 (18H): At the end of semester S6, the student will be able, in a single-phase or three-phase rectifier circuit, controlled or uncontrolled, to: - determine the waveforms of the voltage/current electrical quantities and the powers from a given diagram*. - record the electrical stresses of the diode (or thyristor) in order to size it.

06_XDELP-AAv3 (20H): At the end of semester S6, the student will be able, in a chopper, step-down or step-up circuit, to determine the waveforms of the voltage/current electrical quantities and the powers from a given diagram*. - identify the electrical constraints of the transistor and diode in order to size them.

06_XBSTA-AAv1 (25H): At the end of this course, each student will be able to carry out a parametric point and confidence interval estimation problem in the context of sampling.

06_XBSTA-AAv2 (26H): At the end of this course, each student will be able to carry out a hypothesis test (test of independence, suitability for a law, proportion, mean and variance).

06_XDELP-AAv1 (12H): At the end of semester S6, the student will be able to determine the instantaneous and average power consumption and energy stored in a given linear circuit (or described by a statement) including resistive, capacitive and inductive effects.

06_XDELP-AAv2 (18H): At the end of semester S6, the student will be able, in a single-phase or three-phase rectifier circuit, controlled or uncontrolled, to: - determine the waveforms of the voltage/current electrical quantities and the powers from a given diagram*. - record the electrical stresses of the diode (or thyristor) in order to size it.

06_XDELP-AAv3 (20H): At the end of semester S6, the student will be able, in a chopper, step-down or step-up circuit, to determine the waveforms of the voltage/current electrical quantities and the powers from a given diagram*. - identify the electrical constraints of the transistor and diode in order to size them.

05AOBMAT-AAv5 (21H): At the end of this course, students will have mastered matrix calculus (sum, product, inverse, determinant) and will be able to recognise a linear algebra problem in a concrete situation.

05AOGASA-AAv1 (15H): At the end of the semester, students will be able to model a one-input linear and time-invariant system (SLIT) in the form of an exploitable transfer function and an output (SISO) described by a system of mechanical and/or electrical equations, and to criticize the domain of validity of this modeling.

06POASHI-AAv1 (10H): At the end of the humanities course, students must be able to identify and explain, in an imposed format, a societal or environmental need in line with the objectives of sustainable development on their own scale.

06POBMAT-AAv1 (18H): At the end of this course, students will be able to diagonalize a square matrix and geometrically interpret the characteristic elements (eigenvalues, eigenvectors, eigensubspaces). They will be able to apply this to situations such as solving a system of recurrent sequences, calculating the power of a matrix or solving a linear differential system with constant coefficients.

06POGELP-AAv1 (10H): At the end of semester S6, the student will be able to determine the instantaneous power, average power consumed and energy stored in a given linear circuit (or described by a statement) including resistive, capacitive and inductive effects.

06POGELP-AAv2 (15H): At the end of semester S6, the student will be able, in a controlled or uncontrolled rectifier circuit: - to determine the waveforms of the electrical quantities voltage/current and power from a given diagram*. - identify the electrical stresses of the diode (or thyristor) in order to size it.

06POGELP-AAv3 (15H): At the end of semester S6, the student will be able, in a chopper, step-down or step-up circuit, to determine the waveforms of the voltage/current and power electrical quantities from a given diagram*. - identify the electrical constraints of the transistor and diode in order to size them.

07_X-IPS-AAv2 (16H): Electronic CAD. At the end of this course, the seventh semester student will be able, in a group of 4 to 5 students, to design, assemble, test and validate a functional double-sided electronic card (without metallized hole).

07_X-IPS-AAv3 (26H): Autonomous implementation of a microcontroller for an instrumentation application. At the end of this course, the seventh semester student will be able, in a group of 4 to 5 students, to implement a digital system allowing the instrumentation of a physical system (for example a motor, heating, pendulum, actuator shape memory alloy ...).

07_X-SEN-AAv3 (30H): At the end of semester 7, the student will be able to design an application on an STM32 microcontroller in which the The entire work to be carried out was divided into several tasks, respecting specifications and adding the synchronization elements necessary for the exchange of data between tasks and with peripherals. He will be able to program his solution using FreeRTOS primitives.

07_O-MEF-AAv2 (15H): At the end of the semester, the S7 or S9 student will be able to describe in detail the main elements which characterize biosourced materials, distinguish then choose a sustainability criterion in relation to a notebook charges.

07_O-MEF-AAv3 (15H): At the end of the semester, the S7 or S9 student will be able to choose a material in a justified manner according to given criteria.

07_O-MEF-AAv12 (15H): At the end of the semester, the S7 or S9 student will be able to describe in detail the finite element technology for the cases of beams, shells, and the cases of interlocking (isochore and in transverse shear).

07_O-CMV-AAv3 (14H): At the end of teaching, in a given multidisciplinary context, with an imperfect, partially documented and possibly non-functional existing system , and with given disciplinary specifications, the student group must be able to implement a complete design approach: analysis of needs, justified choice of solutions, design and sizing, production, validation and documentation.

08_SHES-AAV_GI_optionnel_2_MRP (15H): The student will be able to recall the different concepts and approaches to carry out a problem-solving process. He will know how to lead them in a suitable framework.

08_SHES-AAV_QQE_optionnel_1_SMQ (18H): In a group, the student will design a strategy for developing a quality management system. In particular, he will be able to evaluate the strengths and weaknesses of a fictitious company, propose and carry out a quality action plan to improve its products in the long term.

08_X-ST8-AAV2 (150H): At the end of the assistant engineer internship, the student will be able, based on specifications provided, to propose a functional representation (block diagram, UML, etc. .)identifying the scientific problems to be solved and the existing solutions when they exist.

07_O-MEF-AAv2 (15H): At the end of the semester, the S7 or S9 student will be able to describe in detail the main elements which characterize biosourced materials, distinguish then choose a sustainability criterion in relation to a notebook charges.

07_O-MEF-AAv3 (15H): At the end of the semester, the S7 or S9 student will be able to choose a material in a justified manner according to given criteria.

07_O-MEF-AAv12 (15H): At the end of the semester, the S7 or S9 student will be able to describe in detail the finite element technology for the cases of beams, shells, and the cases of interlocking (isochore and in transverse shear).

07_O-CMV-AAv3 (14H): At the end of teaching, in a given multidisciplinary context, with an imperfect, partially documented and possibly non-functional existing system , and with given disciplinary specifications, the student group must be able to implement a complete design approach: analysis of needs, justified choice of solutions, design and sizing, production, validation and documentation.

09_O-CNO-AAV1 (30H): The student of the CNO module, at the end of the module, will be able to describe the main elements (active and passive components) of the architecture of a WDM optical communication chain (from transmitter to receiver) and to use the main metrics, tools and methods to evaluate transmission quality.

09_O-IAS-AAv2 (20H): At the end of the module, students will be able to name and explain the most appropriate knowledge representation models for the formulation and resolution of characteristic problems varied.

09_O-MRA-AAv2 (12.5H): At the end of the semester, MRA students will be able to obtain the direct geometric model of a serial robot, with rotoid and prismatic connections, using either a kinematic diagram, or from the analysis of the axes of a real robot.

09_O-MRA-AAv3 (12.5H): At the end of the semester, MRA students will be able to obtain the direct and inverse kinematic model of a serial robot, with rotoid and prismatic connections, using either a kinematic diagram or by analyzing a real robot.

09_O-MRA-AAv4 (12.5H): At the end of the semester, MRA students will be able to obtain the direct and inverse static model of a serial robot, with rotoid and prismatic connections, using either the geometric model and/or the kinematic diagram of the robot.

09_O-MRA-AAv5 (12.5H): At the end of the semester, MRA students will be able to obtain the dynamic model of a serial robot, with rotoid and prismatic connections, in the form of a system of nonlinear differential equations, using the kinetostatic model and the double recursive Newton-Euler method.

09_O-REV-AAv5 (8H): Each student is able to explain the key concepts making it possible to characterize and highlight the Presence in a virtual reality system by considering both methodological and software as well as hardware aspects.

09_O-REV-AAv6 (12H): Each student is able to explain the methods necessary for the implementation of virtual reality systems distributed through a computer network.

09_O-REV-AAv7 (8H): students are able to explain the needs related to the creation of conversational virtual agents

09_O-REV-AAv8 (12H): Each student is able to list the steps necessary for motion capture.

09_O-REV-AAv9 (12H): Each student is able to list the different augmented reality devices and the pose calculation methods adapted to augmented reality necessary to ensure good consistency between the projections of real and virtual objects .

10_X-S10-AAv2 (200H): At the end of the engineering internship, the student is able, based on specifications provided, to propose a functional representation (block diagram, UML, etc.) identifying the scientific problems to be solved and, for each problem, through a state of the art, identify the existing solutions.