## Bachelor Physics and chemistry

### Double licence Mathématiques-Physique

### Entry requirements

In the 1st year: Holders of old Scientific Baccalaureate ("S") (Mathematics or Physics-Chemistry specialization) or new general Baccalaureate (specializations required are Mathematics and Physics-Chemistry, option Expert Mathematics is highly recommended). In the 2nd and 3rd years: scientific training first year or two years university-level courses in Mathematics and Physics.

### Benefits of the program

Given its dual subject particularity (Mathematics and Physics, Chemistry), our course provides a real alternative to traditional preparatory classes and offers a 3-year level diploma. Students' excellent level of knowledge and skills in mathematics and physical sciences offers them a wide range of opportunities for pursuing their studies. To facilitate transition from high school, a pre-term-start tutoring programme is organized and most modules during the 1st year are in small classes (Lessons-tutorials). To encourage students to work regularly and independently, regular checks are carried out and online exercises are proposed. During the cycle, students may request to join the specific Mathematics or Physics, Chemistry pathways.

### Acquired skills

Acquiring sound general scientific training on theoretical, experimental and digital levels. Ability to roll out a scientific and/or abstraction approach. Explaining and presenting a project in writing and orally. In Mathematics: proficiency in the fundamental concepts of analysis, probability, statistics and linear algebra. In Physics and Chemistry: solving theoretical problems from Newtonian physics to modern physics and understanding its applications. In Computer Science: mastering the Python language. In English: level B2 minimum.

### Registration details

Parcoursup & Etudes en France pour la première année. E-candidat et Etudes en France ensuite.

### Course venue

### Schedule of studies

To be defined

### Your future career

Double Mathematics - Physics Chemistry (MPC) Degree students may pursue their studies with a Master's in Mathematics, a Master's in General Physics or a Master's in Applied Sciences or generalist or specialized course in an Engineering School by admission based on qualifications. The Master's accessible at UPEM are: Mathematics and Applications Master's, Careers in Teaching, Education and Training (MEEF) Master's specializing in Mathematics, Actuarial Science Master's, Theoretical Chemistry Master's, Mechanics Master's, Risks and Environment Master's, Material Engineering and Sciences.

### Professional integration

Studies pursued with a Master's or in Engineering School

### Study objectives

Offer sound dual training in mathematics and Physics so that studies may be pursued with a Master's or in Engineering School

### Major thematics of study

Mathematics - Physics - Chemistry - Electronics - Mechanics - Computer Science - English

### Study organization

La Licence se déroulent en 6 semestres. Les enseignements de Mathématiques et de Physique, Chimie sont communs aux licences des mentions correspondantes et des enseignements spécifiques d'informatique et de modélisation numérique sont dispensés. Un tutorat de pré-rentrée est organisé et la grande majorité des enseignements de 1ère année se déroulent en petite classe (Cours-TD).

### Options

In the 3rd year, students choose optional classes (minimum 9 ECTS) in Mathematics of in Physics.

### Major thematics of Research

LAMA - LGE - MSME - NAVIER

### SEMESTER 1

Courses | ECTS | CM | TD | TP |
---|---|---|---|---|

Calculus The objective of this EU is to deepen the concepts of analysis seen at the science terminal and to improve the computational skills of students. Complex numbers, derivability, primitive calculation, study of usual reciprocal functions, polynomials, as well as first and second order ordinary differential equations, linear and with constant coefficients are discussed. ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 24h | 36h | |

Methodology The learning outcomes of the "méthodologie des mathématiques" course are designed to acquire the mathematical method based on the unambiguous definition of notions, the formulation of conjectures, the formulation of mathematical propositions and their demonstration using logic from more basic propositions, going back to the axioms. To do this, learning and mastering the language of mathematics is fundamental (speech, syntax, objects, variables). This course aims to allow the acquisition of the basic elements of this language by its implementation in simple demonstrations addressing basic but new concepts that will be seen in class. Topics include naïve set theory, applications, binary relations, natural integers and groups. At the end of this course the students will be able to independently demonstrate simple original propositions concerning these notions. This course is built around three modalities: the lecture, the tutorials, and the personal work. These revolve around the elements transmitted in class and in Tds but also with the help of other educational resources, including self-correcting exercises. ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 24h | 36h | |

Computer science 1 This course introduces the basics of Python programming (variables, types, conditional structures, loops, functions, modules, lists, reading/writing in a file). The concepts and tools essential to scientific computing are emphasized (float type, SciPy and Matplotlib modules). The course has no prerequisite in programming. ## Langue de l'enseignementFRANÇAIS / FRENCH | 4 | 12h | 24h | |

English 1 The teaching of English during the bachelor's degree aims to improve written and oral skills so that students become more autonomous. The aim is to be able to understand and communicate in future professional exchanges, as well as to be able to understand the scientific articles that they may encounter during their studies and/or professional lives. Throughout the bachelor's degree, English courses focus on providing an opening to different cultures in order to encourage exchanges between countries. Level groups are set up during the first semester to enable everyone to approach English courses in the best possible conditions. The emphasis is on oral participation thanks to a quality policy of the UFR which organises English courses in half groups. ## Langue de l'enseignementANGLAIS / ENGLISH | 2 | 15h | ||

Geometric optics - Kinematics and dynamics of the material point Observation of propagation phenomena; laws of reflection and refraction; propagation through diopters, lenses, a continuous medium modeled in layers; formation of sharp images . Position, velocity, acceleration; force; Newton's laws; friction (solids and fluids); conservative forces and potential energies; theorem of kinetic energy; conservation of mechanical energy; non -conservative forces cases. ## Langue de l'enseignementFRANÇAIS / FRENCH | 7 | 31h | 31h | 6h |

General chemistry 1 structure of the material (carbon , covalent bonds, conformations and configurations, molecular interactions ) ## Langue de l'enseignementFRANÇAIS / FRENCH | 5 | 20h | 22h | 6h |

Electricity - Electronics 1 electrokinetic : continuous modes (magnitudes, dipoles real, sources, Kirchhoff's laws, resistance). electronics: study of combinatorial circuits (Boolean algebra, logic function, logic gates, encoder / decoder, transcoder, multiplexer / demultiplexer ) ## Langue de l'enseignementFRANÇAIS / FRENCH | 5 | 18h | 20h | 8h |

### SEMESTER 2

Courses | ECTS | CM | TD | TP |
---|---|---|---|---|

Linear algebra 1 The course of Linear Algebra consists of three chapters. The first chapter defines the vector spaces, the bases, and introduces the notion of dimension.Then we deal with linear applications: kernel, image, rank, projectors. The last chapter is about matrices: their links to linear applications, base change, and linear systems. ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 24h | 36h | |

Numerical sequences and real functions Content: 1) Real numbers (upper and lower bound, absolute value, integer part, axiomatic of R, intervals, density of rational and irrational numbers)2) Real sequences: monotonicity, convergence (with epsilon), inductive and adjacent sequences, Cauchy sequences, Bolzano-Weierstrass theorem, arithmetic and geometric sequences. 3) Real functions (limit with Epsilon, delta), continuity, image of a compact and non compact interval through a continuous function, uniform continuity, Heine's theorem, bijections, homeomorphisms, lipschitzian functions. 4) Derivation of real functions: definition, Rolle's theorem, Mean value theorem, local extrema, Taylor-Lagrange and Taylor-Young formula, limited developments and application to local extrema. ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 24h | 36h | |

Computer science 2 This course offers an introduction to scientific computing through various topics.1. Solving nonlinear equations: bisection method, Newton method.2. Numerical integration: rectangle rule, trapezoidal rule.3. Solving differential equations with initial conditions : models in mechanics, chemistry, electricity; Euler method, Runge-Kutta methods, backward Euler method, symplectic methods.4. Solving differential equations with boundary conditions : 1D elasticity model, 1D advection-reaction-diffusion model; finite difference approximation.5. Data fitting: Lagrange interpolation, splines, least square fitting.The course is oriented toward practice and consists mostly of computer lab sessions where the students program and apply the numerical methods (using Python). ## Langue de l'enseignementFRANÇAIS / FRENCH | 4 | 12h | 24h | |

English 2 The teaching of English during the bachelor's degree aims to improve written and oral skills so that students become more autonomous. The aim is to be able to understand and communicate in future professional exchanges, as well as to be able to understand the scientific articles that they may encounter during their studies and/or professional lives. Throughout the bachelor's degree, English courses focus on providing an opening to different cultures in order to encourage exchanges between countries. Level groups are set up during the first semester to enable everyone to approach English courses in the best possible conditions. The emphasis is on oral participation thanks to a quality policy of the UFR which organises English courses in half groups. ## Langue de l'enseignementFRANÇAIS / FRENCH | 2 | 15h | ||

Wave optics - Thermodynamics Interference and diffraction experiments with light. Theoritical interpretation. pressure, temperature, thermodynamic state of a gas, equation of state ; internal energy, work , heat, first principle ; various types of processing ; entropy, the second principle ; thermal cycles and engines11/03/2019 ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 20h | 28h | 8h |

Fluid and solid mechanics Basic concepts used in fluid and solid mechanics. Kinematics. Forces and moments. Energy. Fundamental principle of dynamics. ## Langue de l'enseignementFRANÇAIS / FRENCH | 2 | 8h | 8h | 2h |

General chemistry 2 basis of chemical kinetics and application to simple cases; major reaction types in inorganic chemistry in aqueous solution (redox reactions, acid-base reactions); composition of equilibrium systems. ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 22h | 22h | 10h |

Electricity - Electronics 2 Circuits in sinusoidal regime (rms value, phase shift, associated complex, coil and capacitor impedance and admittance, associations, powers, resonance). Study of sequential circuits (evolution, timing, synchronous and asynchronous technology flops, registers, counters) ## Langue de l'enseignementFRANÇAIS / FRENCH | 6 | 18h | 24h | 16h |

### SEMESTER 3

Courses | ECTS | CM | TD | TP |
---|---|---|---|---|

Linear Algebra 2 | 6 | 24h | 36h | |

Multivariable analysis | 5 | 20h | 30h | |

Numerical sequences and series | 2 | 18h | ||

Computer science 3 | 4 | 12h | 24h | |

English 3 | 2 | 20h | ||

Electromagnetism | 6 | 24h | 30h | 6h |

Solid mechanics | 5 | 22h | 28h | |

Thermodynamics and reactivity in chemistry | 6 | 24h | 24h | 12h |

### SEMESTER 4

Courses | ECTS | CM | TD | TP |
---|---|---|---|---|

Sequences and series of functions | 6 | 24h | 36h | |

Computer science 4 | 4 | 12h | 24h | |

English 4 | 2 | 20h | ||

Probability modeling | 6 | 24h | 36h | |

Differential equation 1 | 3 | 12h | 18h | |

From vibrations to waves | 3 | 14h | 16h | |

Fluid mechanics | 3 | 12h | 12h | 6h |

Thermodynamics 2 | 3 | 14h | 16h | |

Mineral chemistry | 5 | 18h | 18h | 12h |

### SEMESTRE 5

Courses | ECTS | CM | TD | TP |
---|---|---|---|---|

Topology and differential calculus | 9 | 36h | 54h | |

Integration and probabilities | 9 | 36h | 54h | |

Computer science 5 | 4 | 12h | 24h | |

English 5 | 2 | 20h | ||

Electromagnetism and electromagnetic waves | 6 | 15h | 15h | |

Repositories and central fields | 3 | 14h | 14h | |

Nuclear and particle physics | 3 | 14h | 14h | |

Physics experiments-3 | 3 | 36h | ||

Quantum mechanics | 4 | 20h | 20h |

### SEMESTER 6

Courses | ECTS | CM | TD | TP |
---|---|---|---|---|

Additional integration and Hilbertian analysis | 6 | 24h | 36h | |

Differential equations 2 | 3 | 12h | 18h | |

English 6 | 2 | 20h | ||

Statistical Physics | 4 | 20h | 20h | |

Acoustic waves | 2 | 10h | 10h | |

Relativistic physics | 3 | 14h | 14h | |

Wave optics | 3 | 14h | 14h | |

Project | 3 | 60h | ||

Les éléments ci-dessous sont à choix : | ||||

Complex analysis | 6 | 24h | 36h | |

Statistics | 6 | 24h | 36h | |

Atomic and molecular preprocessing | 6 | 24h | 24h | 10h |

Introduction to material science | 3 | 10h | 2h | 8h |

##### Bachelor Physics and chemistry

L1-L2L1-L2-L3##### Double licence Mathématiques-Physique

L1-L2-L3L3

### Summary

- Degree
- Bachelor

- Field(s)
- Sciences, technologies, santé

- Thematics of study
- Physics and chemistry

- How to apply
- Continuing Education / Recognition of prior learning / Initial Education

- Course venue

- Departments and Institutes
- Institut Francilien de Sciences Appliquées (IFSA)

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