PROGRAMME
OVERVIEW
Technical University of Munich
Bachelor of Science in
Electrical Engineering & Information Technology
Electrical Engineering and Information Technology form the foundation of the digital age and are among the prime engines of technological and economic progress. They offer us a head start on the challenges of the future in areas as diverse as automotive technology, power engineering and electronics engineering, with applications ranging from household appliances to space satellites. The rapid developments in information and communications technology in particular underscore the tremendous importance of Electrical Engineering and Information Technology.
This degree programme offers an interdisciplinary approach to the design, manufacture and integration of energy and information into engineering systems and processes. It covers fundamental engineering principles and application-based skills in innovative product development. Students have a choice of specialisation in Microelectronics, Integrated Circuit Design or Automation.
Electrical Engineering and Information Technology professionals excel in research and development, planning, design, operation, purchasing, sales, teaching, patent procedures and business management, in telecommunications, construction, power supply, consumer electronics, and more.
Learn about SIT-TUM’s Bachelor of Science in Electrical Engineering and Information Technology.
MODULE
SYNOPSIS
Programme Structure
Semester 1
• EI9002 Circuit Theory 1
Circuit Theory 1:
Linear and nonlinear resistive circuits. Lumped-Circuit Approximation, Modeling: Electric devices, circuit elements, graphs, Kirchhoff’s laws, linearity. One-ports: v-i characteristics and properties, parallel and series connections, DC-operating point and linear approximation, small-signal analysis. Two-ports: Representations and properties, vector space approach, special two-ports, connections. Transistors: Modeling of bipolar and field-effect transistors, basic circuits and their analysis (DC-points and small-signal approximation). Operational Amplifiers: Linear and nonlinear modeling, basic circuits. Multi-ports: Representations und special multi-ports. Circuit Analysis: Interconnect and its properties, Tellegen’s theorem, incidence matrices, tableau analysis, node and loop analysis, direct set-up of the node-admittance matrix. General Circuit Properties: Substitution theorem, superposition theorem, Mayer-Norton and Helmholtz-Thevenin theorems, passivity, incremental passivity und monotonicity. Logic Circuits: Boolean algebra, basic gates and their realization.
• EI9003 Circuit Theory 2
Circuit Theory 2:
Linear und nonlinear dynamic circuits. Energy Storing Elements: Nonlinear and linear capacitor and inductor, curves in the u-q- and i-phi-plane, duality of charge and flux. Properties of dynamic one ports: linearity, memory and initial state, continuity, lossless property, energy storage and relaxation points. Series and parallel connection of dynamic one ports. Dynamic multi ports. First Order Circuits: Linear and piece-wise linear resistive circuits connected with a linear dynamic one port. Calculation of the port variables of time invariant circuits for constant, piece-wise constant, and arbitrary excitations. Time variant circuits with switches. Piece-wise linear first order circuits: dynamic route, equilibrium states, impasse point, and jump phenomenon. Relaxation oscillators and bistable circuits. Linear Second Order Circuits: System of coupled first order state equations in two state variables. Equation formulation, realization of the state equation. Zero input case: solution of the state equation with the eigenvalues and eigenvectores of the A matrix and transformation to the normal form. Discussion of solution types and types of equilibrium states with phase portraits and time functions. Consideration of autonomous systems and systems with arbitrary excitations. Nonlinear Second Order Circuits: Nonlinear resistive two ports connected with two linear dynamic one ports. Piece-wise linear two ports: classification of equilibrium states and sketch of phase portrait. Constant-energy circuits. Limiting orbits: linear oscillator, relaxation oscillator. Phasor Analysis: Systems with sinusoidal excitation in steady state. Properties of phasors: uniqueness, linearity, and differential rule. Network functions: complex frequency and natural frequencies, frequency response: Bode plots.
Mechanics, oscillation and waves, thermodynamics, optics, atom physics, nuclear physics
• EI9000 Advanced Mathematics 1
Advanced Mathematics 1: Fundamentals: real and complex numbers, supremum, induction, notion of functions, mathematic notation; linear algebra: vectors, matrices, linear equation systems, scalar and vector product, orthogonality, linear spaces, linear transformation, eigenvalues, factorise matrices (diagonalising and singular value analysis), matrix norm; analysis: sequences, series, limits, steadiness
• EI9004 Advanced Mathematics 2
Advanced Mathematics 2: Analysis (1 dimension): theorems and formulae of differential calculus, extreme values, theorems and formulae of integral calculus, improper integrals (including Laplace transformation); differential equations: linear systems with constant coefficients; Analysis (multidimensional): curves, scalar and vector fields, partial derivation, gradient, total derivation, functional matrix, implicit functions, extreme value with and without side conditions, line integral and potential
• EI9005 Lab Course Programming
Language constructs in C, programming in ANSI-C, basic programming techniques, loops, branches, pointers etc. Implementation if simple algorithms in software, basic programming knowledge in C; handling of editors and compilers.
• EI9006 Digital Circuits
Moores law, basic MOSFET behaviour, systematic development of combinatorial and sequential logic (finite automata, synchronous circuits, pipelining), architecture of memory cells (SRAM, DRAM, Flash), Introduction to IC hardware platforms (ASIC, FPGA), introduction to realisation of arithmetic function blocks (adders, multipliers).
Semester 2
• EI2302 Advanced Mathematics 3
Advanced mathematics 3: Orthogonal series, Fourier series, Hilbert space, multidimensional integrals, multiple integrals, surface integrals; differential equations, nonlinear differential equations, uniqueness, existence, stability.
• EI2101 Materials for Electrical Engineering
Basics of quantum mechanics, structure of matter (atoms, molecules, crystals); mechanic, thermal, dielectric, optical an magnetically properties of solid state; electrical and thermal transport, free electron gas; metals, dielectrics, plastics, glass, ceramic; band model; semiconductors and their applications; superconductors; materials for electrical engineering
• EI1405 Measurement and Sensor Technology
Introduction to digital measurement systems, measuring amplifiers and bridges, display, transducing and processing of measurement data, resistive and capacitive sensors, inductive and magnetic sensors, piezoelectric sensors, ion-conducting sensors, Gravimetric sensors, thermal sensors, time of flight and Doppler sensors, optical sensors.
• EI1404 Electricity & Magnetism
Physical theory of electrical and magnetic phenomena that are relevant for technical applications. Electrostatic: charge, electrical field, potential, capacity, electrical energy. DC: current density, charge retention, Kirchhoff rules, Ohms law. Magneto static: magnetic fields, solenoidality, magnetic flux law. Magnets, induction: neutral induction, movement induction, inductivity, magnetic energy. AC: linear circuit elements, complex, AC calculations
• EI1402 Electronic Design Automation for Digital Circuits
Introduction to algorithms for synthesis, simulation and test design of digital circuits, application of discrete mathematics. Description of digital circuits with Boolean functions, display forms of Boolean functions (SOP forms, cubic graphs, reduced ordered binary decision diagram). Logic optimisation through minimizing of Boolean functions (Quine/McCluskey) with resolvent method, heuristics. Description and state optimisations of finite automata/machines. setup of the error overlap table to identify a minimal number of test pattern. Identification of test pattern with Boolean difference, sensitivity analysis, D-algorithm. logic synthesis: introduction, binary Boolean functions, synthesis of combinatorial circuits with 2 levels. heuristic minimisation of combinatorial circuits with 2 levels. Synthesis of combinatorial circuits with more than 2 levels. Ordered binary decision diagrams. synthesis of sequential circuits through finite automata. simulation of digital circuits. test procedures: failure diagnosis, error overlap table. Testing identification in combinatoric circuits, test identification in sequential circuits
• EI1200 Algorithms and Data Structures
Theory of automata, formalised languages, design and analysis of algorithms, abstract data structures, graphs, trees, lists, pointers, queues, stacks, basic algorithms, sorting, searching, complexity.
Semester 3
• EI2303 Advanced Mathematics 4
Advanced Mathematics 4: Nonlinear equation systems, iterative solving, Dirichlet integral, complex number equations, deriving, Laurent, singularities
• EI2503 Dynamic Systems and Control
Open loop and closed loop control, automation in technical and nontechnical systems – Modelling, linearization and linear systems – Time response of linear dynamic systems -Standard dynamic system components – Stability of LTI systems – Basics of control and standard controllers – Frequency domain stability analysis – Control design – Structural extensions of the basic single control loop – State feedback control – Digital Implementation of control and filter algorithms – Discrete control and Petri Net modelling – Techniques of control and automation – Practical examples
• EI2502 Communications Engineering
Source signals and their spectra, Sampling theorem, Quantization, Baseband transmission: signal pulses and their spectra, Nyquist-conditions, Eye-patterns. Transmission channel, detection with noise, matched filter, error probability for antipodal and orthogonal transmission, linear digital modulation by PSK, QAM. Gaussian channel (AWGN), discrete channel (BSC), erroneous PCM transmission, predictive coding.
• EI2501 Signal Representation
Timecontinous and time discrete signals, LTI-systems, folding operator, Fourier-series, Fourier transformation, sampling theorem, sampling and reconstruction of signals, Laplace transformation, z-transformation, discrete Fourier transformation, FFT
• EI2500 Stochastic Signals
Probability functions and stochastic models to handle complex phenomena in IT systems
• EI2406 Electromagnetic Field Theory
Theory of electromagnetism from field theory point of view; Maxwell equations, material models, energy transport, electromechanical forces: electromagnetic waves, polarisation, dispersion, damping, reflexion, dissipation through antenna, theorem of reciprocity
Semester 4
• EI2103 Technical Mechanics
Fundamental terms: properties of force and torque, operating experience and proceedings, systems of forces: plane and spatial systems of forces, static equilibrium, equilibrium conditions, graphical techniques: special cases of equilibrium, Culmann-line, link polygon method, bearing statics: characteristics of bearings, bearing reactions, static determination, trusses, centre of mass: weight, position of the centre of mass, moment and equilibrium, support of rigid bodies, beam statics, internal forces and moments, FÖPPL-brackets, kinetic friction: friction laws, application of friction laws, self-locking, belt friction, rope statics.
• EI2102 Electrical Energy Technology
Importance of power engineering, power generation, three phase circuits, electrical machines, power transmission, high voltage technology, electrical drives, converters, safety requirements of electrical installations.
• EI2202 Computer Systems 1
Computer System 1: Hardware/Software interface, MMIX instruction set, machine code and micro architecture level, digital circuit level, MMIX assembler, pipelining, memory hierarchy, cache memory, virtual memory, benchmarks/performance measuring.
• EI2203 Computer Systems 2
Computer System 2: Parallel processes, inter process communication, synchronisation, deadlocks, real and pseudo parallel processes, operating systems: core states, interrupts, hardware requirements, os-core, os-structure, real-time os, resource management, main memory management, and address spaces, peripheral device management, queues, error handling. file management: file systems. example UNIX-data bases: classical databases (relational, object orientated), real time data bases, utilities: editors, compilers, linker/loader, debugger, GUI
• EI2407 Electronic Devices
Basics in semiconductor electronics: device physics, energy-band diagram, Electrical and optical properties of semiconductors, carrier transport, pn-junction, Basics in semiconductor technology. Electronic devices: Diodes (pn diodes, Schottky diodes, optical diodes), Bipolar Transistor, MOS-Diode and Field Effect Transistor, Memory devices, Power devices.
Semester 4 & 5 Electives Modules
Integrated Circuit Design
• EI3103 Lab Course Digital
• EI3104 Lab Course Analog
• EI3102 Radio Frequency Circuits
Devices: resistors, capacitors, inductivities, piezoelectrical devices; technology of planar circuits: thick and thin film technology, monolithic integration; planar RF-circuits: strip line technology, planar switching elements; transformator circuits: transformation pathes, compensation circuits, voltages and currents; oscillator circuits: one gate na dtwo gate oscillators, phase and amplitude noise, technical specifications; amplifier circuits: stability criteria, compression, intermodulation products, dynamic range, technical specifications; circuit examples.
• EI3101 Circuit Simulation
Design process of microelectronic systems (design flow), design space (Y-chart), design styles; simulation of analog circuits; system description, enhanced node-voltage system; AC-analysis, parallel simulation, weak occupied matrices; DC-analysis, Newton-Raphson, linearised circuit models; tuning analysis, numerical integration methods, dicretised circuit models, large signal models, logic simulation, event driven simulation, modelling and simulation in VHDL.
• EI3100 Digital Circuits 2
Microelectronics
• EI3205 Lab Course Backend
• EI3204 Lab Course Cleanroom
• EI3201 Semiconductor Sensors
Basics of materials; technology: silicon, special processes for sensors, stacking and connection techniques, force sensors for pressure and acceleration: theory of elasticity, piezoresistive, piezoelectrical and capacitive sensors, contact temperature sensors: thermal diodes, thermo transistors; radiation sensors: bolometer, quantum sensors (CCDs), particle detectors; magnetic field sensors: hall sensors, field plates, AMR-sensors; humidity sensors; chemosensors: ChemFET, pellistors; biosensors: enzyme sensors, DNA-sensors, immunosensors, biomedical sensors, sensor implants; smart sensors, sensor systems.
History and markets; semiconductor physics; crystalls, defects, band structures, charge carriers; manufacturing of silicon wafers; cleanroom technology; layer deposition (semiconductor, insulators, metalls) and processes (chemical vapor deposition, sputter), layer modification (doping, implantation), pattern generation: lithography (Deep UV, EUV) and machines, sub-wavelength procedures (phase shifting masks, optical proximity); special patterns (planarisation, trench insulation, Damascene metallisation), pattern removal (wet and dry etching, CMP); overall processes (logic, DRAM), analysis and process control; packaging; trends and perspectives.
Automation
• EI3304 Lab Course Fieldbus
• EI3302 Automation & Control Engineering
Control engineering: nature, duty and aims; modeling of automated processes; specification, setup rules, enhanced structures; analysis and synthesis, languages and programming; basics of process handling; reliability of control systems; technology of selected components: compact controller, SPS, process lead stations, cross-linked control systems, field bus systems; actuating elements; management of automation projects
• EI3303 Lab Course Robotics
• EI3301 Basics of Intelligent Robots
Robot arms and vehicles; object representation and transformation in space; phrasing of the action plan in a program language; kinematic models of manipulators and robot vehicles; kinematic path planning and generation; dynamic modelling; manipulator control; imaging sensors in robotics; image processing techniques; overview over manipulator software; calculation and design exercises.
• EI3300 Discrete Systems and Control Engineering
Event discrete model types: finite automata, real time automata, petri nets, state charts, Markov processes, stochastic automata; modular and hierarchic modelling: analysis of event discrete systems: stability analysis, model checking, availability, controllability; supervisory control for finite automata; optimisation of event discrete systems; scheduling for real time systems.
Semester 5 & 6
• EI3830 Bachelor's Thesis
• Engineering Practice (Internship)
TUITION
FEES
Technische Universität München (Technical University of Munich)
BSc Electrical Engineering & Information Technology
AY2012/13 – Fee Structure for normal candidature period of study:
|
|
Relevant Diplomas
|
Non-Relevant Diplomas/A-Level/Other Qualifications
|
|
|
SC
|
SPR
|
IS
|
SC
|
SPR
|
IS
|
|
Sem 1
|
S$4,875
|
S$9,750
|
S$14,100
|
S$14,100 (Full Fee – subject to GST)
|
|
Sem 2
|
S$4,875
|
S$9,750
|
S$14,100
|
S$4,875
|
S$9,750
|
S$14,100
|
|
Sem 3
|
S$4,875
|
S$9,750
|
S$14,100
|
S$4,875
|
S$9,750
|
S$14,100
|
|
Sem 4
|
S$4,875
|
S$9,750
|
S$14,100
|
S$4,875
|
S$9,750
|
S$14,100
|
|
Sem 5
|
S$4,875
|
S$9,750
|
S$14,100
|
S$4,875
|
S$9,750
|
S$14,100
|
|
Sem 6
|
NA
|
NA
|
NA
|
S$4,875
|
S$9,750
|
S$14,100
|
Legend
SC: Singapore Citizens
SPR: Singapore Permanent Residents
IS: International Students
NA: Not Applicable
For students admitted to SIT in AY2012/13, the annual tuition fee is fixed at the AY2012/13 rate for the duration of their degree programme.
For a list of relevant polytechnic diplomas for the respective degree programmes, please click here.
Find out more »
AY2011/12 - Fee structure for normal candidature period of study
|
|
Relevant Diplomas
|
Non-Relevant Diplomas/A-Level/Other Qualifications
|
|
|
SC
|
SPR
|
IS
|
SC
|
SPR
|
IS
|
|
Sem 1
|
S$4,680
|
S$9,360
|
S$13,165
|
S$13,165 (Full Fee – subject to GST)
|
|
Sem 2
|
S$4,680
|
S$9,360
|
S$13,165
|
S$4,680
|
S$9,360
|
S$13,165
|
|
Sem 3
|
S$4,680
|
S$9,360
|
S$13,165
|
S$4,680
|
S$9,360
|
S$13,165
|
|
Sem 4
|
S$4,680
|
S$9,360
|
S$13,165
|
S$4,680
|
S$9,360
|
S$13,165
|
|
Sem 5
|
S$4,680
|
S$9,360
|
S$13,165
|
S$4,680
|
S$9,360
|
S$13,165
|
|
Sem 6
|
NA
|
NA
|
NA
|
S$4,680
|
S$9,360
|
S$13,165
|
Legend
SC: Singapore Citizens
SPR: Singapore Permanent Residents
IS: International Students
NA: Not Applicable
For students admitted to SIT in AY2011/12, the annual tuition fee is fixed at the AY2011/12 rate for the duration of their degree programme.
For a list of relevant polytechnic diplomas for the respective degree programmes, please click here.
Find out more »
LOCATION
Technische Universität München (TUM)
BSc Chemical Engineering
Location:
Singapore Polytechnic
500 Dover Road
Singapore 129651
Accordion Menu Engineering
Newcastle University
TUM Asia
University of Glasgow
