Homework 6. Homework 7. Homework 8. Homework 9. Homework List of important topics. Please notice, that some of the times and rooms for the groups have changed. There are five groups on Thursday and seven groups on Friday. The groups with the corresponding time, place and tutor can be seen below and in which group you are can be seen here. Written 1st and 2nd examinations will take place at the end of the semester.

To be eligible to take part in the exam you must have participated successfully in the exercise sessions, i. First Year Examinations. Examination Block A. Analysis I. Differential and integral calculus for functions of one and several variables; vector analysis; ordinary differential equations of first and of higher order, systems of ordinary differential equations; power series.

Introduction to the mathematical foundations of engineering sciences, as far as concerning differential and integral calculus.

Linear Algebra. Contents: Linear systems - the Gaussian algorithm, matrices - LU decomposition, determinants, vector spaces, least squares - QR decomposition, linear maps, eigenvalue problem, normal forms - singular value decomposition; numerical aspects; introduction to MATLAB. Examination Block B. Chemistry I. General Chemistry I: Stoichiometry, atoms, molecules, chemical bond and molecular structure, gases, solutions, chemical equilibrium, solubility, acids and bases, thermodynamics, electrochemistry, kinetics. Peter W. Examination Block C. Introduction to Materials Science.

Fundamental knowledge and understanding of the atomistic and macroscopic concepts of material science. Contents: Atomic structure Atomic bonds Crystalline structure, perfection - imperfection Diffusion Mechanical and thermal properties Phase diagrams Kinetics Structural materials Electric, magnetic and optical properties of materials Materials selection criteria. James F.

Introduction into the fundamental relationships between chemical composition, crystal structure, symmetry and physical properties of solids. Symmetry and order: lattices, point groups, space groups. Walter Borchardt-Ott: Kristallographie. Additional Basic Courses. Introduction to Scientific Practice for Material Scientists. The students obtain a first instight into the world of materials research and are introduced to the scientific method, as it is applied in materials research and industry.

Learning Objectives: The students - can protocol lab experiments correctly in a lab journal. Practical Laboratory Course I. Practical introduction into concepts and basic principles of Materials Science and Chemistry.

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Basic Courses Part 2. Examination Block 1. Analytical Chemistry I. Introduction into the most important spectroscopical methods and their applications to gain structural information. Knowledge about the necessary theoretical background of spectroscopical methods and their practical applications. Application oriented basics of organic and inorganic instrumental analysis and of the empirical employment of structure elucidation methods: Mass spectrometry: Ionization methods, mass separation, isotope signals, rules of fragmentation, rearrangements.

Excercises are integrated in the lectures. Organic Chemistry in Materials Science. This lecture allows the students to consolidate the basics of organic chemistry through selected exercises.

## Quantenmechanik (QM I) on Apple Books

This lecture consists predominantly of exercises and serves mainly to prepare the students intensively for aspects in materials science, based on the lecture Chemie II. Physics II. The course treats the fundamental aspects of modern Electronics, Quantum mechanics and Atomic physics. Biology I. The lecture Biology I, together with the lecture Biology II in the following summer semester, is a basic, introductory course into Biology for Students of Materials Sciences and other students with biology as subsidiary subject.

The goal of this course is to give the students a basic understanding of the molecules that build a cell and make it function, and the basic principles of metabolism and molecular genetics. Der Vorlesungsstoff ist sehr nahe am Lehrbuch gehalten, Skripte werden ggf. Examination Block 2. Stochastics Probability and Statistics. This class covers the following concepts: random variables, probability, discrete and continuous distributions, joint and conditional probabilities and distributions, the law of large numbers, the central limit theorem, descriptive statistics, statistical inference, inference for normally distributed data, point estimation, and two-sample tests.

Introduction to probability theory, some basic principles from mathematical statistics and basic methods for applied statistics. Analysis III. Introduction to partial differential equations. Mathematical treatment of problems in science and engineering. Programming Techniques in Materials Science. This course introduces the general computing and programming skills which are necessary to perform numerical computations and simulations in materials science.

On passing this course, the students should be able to develop their own programs for performing numerical computations and simulations, and they should be able to analyse and amend existing code. Examination Block 3.

Materials Science I. Based on the lecture 'Introduction to Materials Science' this lecture aims to give a detailed understanding of important aspects of materials science, with special emphasis on metallic and ceramic materials. Thermodynamics and phase diagrams, crystal interfaces and microstructure, diffusional transformations in solids, and diffusionless transformations will be presented for metallic alloys. Metals: D. To impart basic knowledge and experimental competence using selected examples from chemistry and physics.

Voraussetzungen: 1.

Examination Block 5. Materials Characterisation Methods. The lecture course is aimed to qualifying the student to choose the optimum characterization method according to the questions posed.

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Materials Science and technology: A comprehensive treatment. Simulation Techniques in Materials Science. Introduction to simulation techniques that are relevant for material science. Learn techniques which are used in the computer-based study of the physics of materials; Obtain an overview of which simulation techniques are useful for which type of problems; develop the capability to transform problems in materials science into a form suitable for computer studies, including writing the computer program and analyzing the results.

This course introduces classical and quantum mechanical concepts for the understanding of material properties from a microscopic point of view. The lectures focus on the static and dynamic properties of crystals, the formation of chemical bonds and electronic bands in molecules, insulators, metals, and semiconductors, and on the thermal and electrical properties that emerge from this analysis.

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Providing physical concepts for the understanding of material properties: Understanding the electronic properties of solids is at the heart of modern society and technology. The aim of this course is to provide fundamental concepts that allow the student to relate the microscopic structure of matter and the quantum mechanical behavior of electrons to the macroscopic properties of materials. Beyond fundamental curiosity, such level of understanding is required in order to develop and appropriately describe new classes of materials for future technology applications. By the end of the course the student should have developed a semi-quantitative understanding of basic concepts in solid state physics and be able to appreciate the pertinence of different models to the description of specific material properties.

PART I: Structure of solid matter, real and reciprocal space The crystal lattice, Bravais lattices, primitive cells and unit cells, Wigner-Seitz cell, primitive lattice vectors, lattice with a basis, examples of 3D and 2D lattices.

## Quantenmechanik (QM I)

Fourier transforms and reciprocal space, reciprocal lattice vectors, Brillouin zones Elastic and inelastic scattering of elementary particles with matter x-rays, neutrons, electrons. Interaction of x-rays with matter. X-ray diffraction, Bragg condition, atomic scattering factors, scattering length, absorption and refraction. PART II: Dynamics of atoms in crystals Lattice vibrations and phonons in 1D, phonons in 1D chains with monoatomic basis, phonon in 1D chains with a diatomic basis, optical and acoustic modes, phase and group velocities, phonon dispersion and eigenvectors.