# EngS Courses

**MATHEMATICS**

Courses in Applied Mathematics and Mathematics

(Minor in Math consists of 6 courses selected from the list)

UNDERGRADUATE PROGRAM

**Mathematics 110 — Predatory and Remedial Mathematics**

Course description: This gentle introduction to the mathematics necessary to succeed in a technical degree program. Little background is presumed; however, students needing to take this course should come prepared for serious work and a rapid pace.

Required topics: Functions, graphing, naive set theory, trigonometry

Optional topics: Relations and advanced set theory

Recommended text: To be announced

**Mathematics 150 — Mathematics for the Engineering Sciences**

Course description: This course includes the contents of a standard first year calculus course, and directly emphasizes the practical understanding of those concepts in an engineering setting.

Required topics: Basic calculus, differentiation, integration, error estimation, limitations on the accuracy of floating-point calculations

Optional topics: Introduction to proofs and proof techniques, asymptotic comparison classes

Recommended text: To be announced

Additional reading: PRESS, W.H., FLANNERY, B.P., TEUKOLSKY, S.A., AND VETTERLING, W.T. Numerical Recipes in C: The Art of Scientific Computing, 2 ed. Cambridge University Press, January 1993.

**Mathematics 180 — Discrete Mathematics I**

Course description: This course centers on formal proofs and mathematical theory, and prepares students for success in computer science by covering the basic mathematical content common to later courses.

Required topics: Number systems, Partial Orders, Relations, Basic Combinatory and Graph Theory, Elementary Logic and Set Theory, proofs and proof techniques

Optional topics: Number Theory, Lattices

Recommended text: ROSEN, K.H. Discrete Mathematics and its Applications, 5 ed. McGraw-Hill College Div, September 2002.

**Mathematics 260 — Graph Theory**

Course description: This course covers graph theory in some depth and is offered only for students preparing for graduate studies.

Required topics: To be announced

Optional topics: To be announced

recommended text: To be announced

**Mathematics 280 — Discrete Mathematics II**

Course description: This course covers combinatorics in some depth and is offered only for students preparing for graduate studies.

Required topics: To be announced

Optional topics: To be announced

**Mathematics 310 — Logic and Foundations**

Course description: This course covers Logic and Foundations in some depth and is offered only for students preparing for graduate studies.

Required topics: To be announced

Optional topics: To be announced

Recommended text: To be announced

**Mathematics 310 — Linear Algebra and Matrix Theory**

Course description: This course should serve two purposes—to provide an introduction to proofs and generating proofs while studying the concepts of linear algebra–vector spaces, bases and independence, linear operators, matrices etc. and to teach the student computational skills in this area needed for the engineering sciences.

Required topics: Systems of Linear Equations, Vector and Matrix Equations, Matrix

Algebra, Determinants, Vector Spaces, Independence, Linear Transformations, Eigen values and Eigenvectors, Orthogonally

Optional topics: Least Squares Problems, Symmetric tranfsormations,Quadratic forms

Recommended text: David C.Lay, Linear Algebra and its Applications

Additional reading: Marshall Ash, Linear Algebra done Right

**Mathematics 320 — Real Analysis**

Course description: This course is a more serious and abstract venture into some of the basic concepts of analysis seen in earlier courses as well as some brand new concepts The emphasis here is definitely on proofs and creating proofs and not on computation

Required topics: Axioms of Real Numbers, Euclidian Space Rn, Metric Spaces, Compactness,

Connectedness, Continuity, Differentiation and Integration

Optional topics: Functions of bounded variation, Outer measure, introduction to Lévesque

measure

Recommended text: Apostol, Introduction to Analysis

Additional reading: Rudin, Principles of Mathematical Analysis

**Mathematics 410 — Differential Equations and Equations of Mathematical Physics**

Course description: This course goes deeper into topics in differential equations and their applications. Students are familiar with some types of differential equations prior to this course, so after a quick review of familiar topics, they will continue further study of differential equations and applications in physics.

Required topics: Review: first order linear differential equations, ,Exact equations and integrating factors, Existence and uniqueness theorems, Review of second order linear equations, Variation of parameters, Solving second order linear equations with Taylor series, Higher Order linear equations (overview), The Laplace Transform and applications, Partial differential equations of first and second order, Equations of mathematical physics.

Recommended text: To be announced

Additional reading: Mariana Vukovic Diferencijalne Jednacine I, II

**Mathematics 420 — Algebraic Structure**s

Course description: This course introduces the students to basic algebraic structures groups, rings, fields

Required topics:Groups:Axioms, properties, examples, cossets, Lagrange’s Theorem, isomorphism,

homeomorphisms, quotient groups, the Fundamental Homomorphism Theorem, Rings:

Axioms, properties, examples, integral domains and fields

Optional topics: Polynomials, Galois theory

Recommended text: To be announced

**Mathematics 430 — Complex Analysis**

Course description: This course covers the basic theory of functions of a complex variable and also introduces students to new integration techniques useful for applications.

Required topics: Complex Numbers, Analytic functions, Elementary functions, Integrals, Cauchy Integral Theorem, Series Expansion, Residues and poles, Applications of residues, Maximum principle, Louisville’s theorem, Open mapping theorem, Normal families, Riemann mapping theorem

Optional topics: Analytic continuation, harmonic functions

Recommended text: Brown and Churchill, Complex variables and Applications

Additional reading:Ahlfors, Complex Analysis ; Rudin, Real and Complex Analysis

**Mathematics 440 — Introduction to Set Theory and Topology**

Course description: This course covers some of the Foundations of Mathematics and some basic concepts of Topology. It prepares students for graduate studies and is also important for majors in computer science.

Required topics: Axioms of Set Theory, Cardinality–countable, uncountable sets, cardinal arithmetic, ordinal numbers, Topological Spaces, basis, sub-basis, metric spaces, density, countable basis, Covering– Compactness, countable compactness, Lindelof, Separation: regular, Hausdorf, continuity and homeomorphisms, connectedness.

Optional topics: Path-connectedness

Recommended text: Halmos, Naive Set Theory; Kuratowski, Introduction to Topology

**ELECTRICAL ENGINEERING AND ELETRONIC ENGINEERING**

EE110 - Fundamentals of Electrical Engineering

EE 190 - Fundamentals of Electronics

EE210 – Signal Processing I

EE240 – Signal Processing II

EE 260 -Multimedia electronics

**EE1 Electrical Engineering Fundamentals**

Electricity; simple DC circuits; network theorems, capacitance and capacitors; electromagnetism; simple magnetic circuits; inductance in a DC-circuits; alternating voltage and current; single-phase series circuits; single-phase parallel networks; power in AC circuits; resonance in AC circuits.

Text: M. Smith, Electrical and Electronic Technology, Prentice Hall, 2002

**EE2 Electronics Engineering**

Electronic systems; data transmission and signals; amplifier equivalent networks; semiconductor materials; rectifiers; junction transistor amplifiers; FET amplifiers; digital systems; computer communication; industrial electronics; wireless communications.

Text: M. Smith, Electrical and Electronic Technology, Prentice Hall, 2002

J. Carr, Electronics, Newness, 2000

**EE3 Power Engineering**

Multiphase systems; transformers; introduction to machine theory; AC synchronous machine winding; characteristics of AC synchronous machines; induction motors; power systems; direct-current machines; direct-current motors; motor selection and efficiency and control; motor generator sets; power electronics.

Text: W. Pierre, Electrical Engineering, Ch. 15, McGraw-Hill 1999, (Mechanical Engineer’s Handbook by Baumeister)

**ME4 Engineering Materials**

Chemical structures; cast irons; steel; stainless steel; metals; powdered metal; alloys; corrosion of materials; plastics; elastomers; wood; adhesives; composites; ceramics; cement; materials for special requirements; lab.

Text: J. Carwell, Mechanical Engineer’s Data, Butterworth, 2001

E.N. Ganic and T. Hicks, McGraw-Hill Handbook of Essential Engineering Information and Data, McGraw-Hill, 1991

**ME5 Measurements in Engineering**

Measurements of length, angle, strain, temperature, pressure, velocity, fluid flow, current, voltage, resistance, power, conductivity, surface tension, surface properties; sensors; structure diagnostics; data analyses and interpretation.

Text: J.P. Hollman, Engineering Methods for Engineers, McGraw-Hill, 1988

E.N. Ganic and T. Hicks, McGraw-Hill Handbook of Essential Engineering Information and Data, McGraw-Hill, 1991

**EE 07 ENGINEERING ECONOMY**

**ME 06 ME Project**

Additional courses offered are based on “ MIT Open Course Ware “.

For more information, contact: admissions@ssst.edu.ba

**MECHANICAL ENGINEERING**

**ME1 Mechanics**

Statics; friction; kinematics; dynamics; oscillation; static stress, dynamic stress, torsion; combined stresses;

Text: P.P. Benham, Mechanics of Engineering Materials, Prentice Hall, 1987

J.P. DenHartog, Mechanics, Dover 1961

**ME2 Thermo-fluid Science**

First and second law of thermodynamics; ideal gas; real gases; power cycles; fluid statics; fluid dynamics; boundary layer flow; flow in pipes; conduction; convection; boiling and condensation; radiation; two-phase flow; heat exchangers.

Text: W.C. Reynolds, Engineering Thermodynamics, McGraw-Hill, 1977

V.L. Streeter, Fluid Mechanics, McGraw-Hill, 1979

J.P. Holman, Heat Transfer, McGraw-Hill, 1981

**ME3 Manufacturing Technologies**

Machine elements and documentation; turning; drilling and reaming; milling; grinding; cutting; metal forming processes; soldering and brazing; welding; tribology; production lines.

Text: J. Carwell, Mechanical Engineer’s Data, Butterworth, 2001

**ME4 Engineering Materials**

Chemical structures; cast irons; steel; stainless steel; metals; powdered metal; alloys; corrosion of materials; plastics; elastomers; wood; adhesives; composites; ceramics; cement; materials for special requirements; lab.

Text: J. Carwell, Mechanical Engineer’s Data, Butterworth, 2001

E.N. Ganic and T. Hicks, McGraw-Hill Handbook of Essential Engineering Information and Data, McGraw-Hill, 1991

**ME5 Measurements in Engineering**

Measurements of length, angle, strain, temperature, pressure, velocity, fluid flow, current, voltage, resistance, power, conductivity, surface tension, surface properties; sensors; structure diagnostics; data analyses and interpretation.

Text: J.P. Hollman, Engineering Methods for Engineers, McGraw-Hill, 1988

E.N. Ganic and T. Hicks, McGraw-Hill Handbook of Essential Engineering Information and Data, McGraw-Hill, 1991

**EE 07 ENGINEERING ECONOMY**

**ME7 PE Project**

Additional courses offered are based on “ MIT Open Course Ware “.

For more information contact: admissions@ssst.edu.ba

**PROCESS ENGINNERING**

**PE1 Industrial Chemistry**

Stoichiometry; thermo chemistry; chemical thermodynamics relations; chemical equilibrium; phase equilibrium; solutions; chemical reactions rates; electrochemistry; organic chemistry; topics in biochemistry.

Text: R.M. Felder, Elementary Principles of Chemical Processes, Wiley, 1978

**PE2 Unit Operations**

Mechanical operations; fluid and particle mechanics; heat transfer operations; mass transfer operations; absorption; extraction; distillation; membrane processes; drying.

Text: W.L. McCabe, Unit Operations, McGraw-Hill, 1996

C.J. King, Separation Processes, McGraw-Hill, 1990

**PE3 Chemical Processes Analysis and Design**

Reaction kinetics; mass and energy balance; bath reactors; continuous reactors; fluidized bed reactor; basic principles and data for reactor design; transport and storage of reaction fluids;

Process control; chemical waste management (air pollution, waste-water and solid wastes).

Text: O. Levershpil, Chemical Reaction Engineering, Wiley, 1999

**ME4 Engineering Materials**

Chemical structures; cast irons; steel; stainless steel; metals; powdered metal; alloys; corrosion of materials; plastics; elastomers; wood; adhesives; composites; ceramics; cement; materials for special requirements; lab.

Text: J. Carwell, Mechanical Engineer’s Data, Butterworth, 2001

E.N. Ganic and T. Hicks, McGraw-Hill Handbook of Essential Engineering Information and Data, McGraw-Hill, 1991

**ME5 Measurements in Engineering**

Measurements of length, angle, strain, temperature, pressure, velocity, fluid flow, current, voltage, resistance, power, conductivity, surface tension, surface properties; sensors; structure diagnostics; data analyses and interpretation.

Text: J.P. Hollman, Engineering Methods for Engineers, McGraw-Hill, 1988

E.N. Ganic and T. Hicks, McGraw-Hill Handbook of Essential Engineering Information and Data, McGraw-Hill, 1991

**EE 07 ENGINEERING ECONOMY**

**PE7 PE Project**

Additional courses offered are based on “ MIT Open Course Ware.”

For more information contact: admissions@ssst.edu.ba

**ENVIRONMENTAL ENGINEERING**

**EE 01 ESSENTIAL BACKGROUND OF ENVIRONMENTAL ENGINEERING**

- Legal framework
- Water and air environment International environmental agreements and legislations
- Biological concepts and natural resources
- Environmental changes and threats to the environment
- Chemistry and Microbiology in environmental engineering
- Concepts in hydrology

**EE 02 POLUTION ENVIRONMENTS 1**

- Ecological systems, disturbances and pollution
- Water pollution
- Marine pollution
- Water quality in rivers
- Transformation processes in water bodies
- Transport processes in water bodies

**EE 03 POLUTION ENVIRONMENTS 2**

- Air pollution system
- Atmospheric dispersion
- Emission standards from industrial sources
- Noise pollution
- Noise standards, pollution and control
- Agricultural pollution
- Waste production on farms

**EE 04 ENVIRONMENTAL ENGINEERING TECHNOLOGIES 1**

- Water sources and their water quality
- Water treatment processes
- Wastewater treatment
- Diffusers for wastewater
- Anaerobic digestion and sludge treatment
- Methane production

**EE 05 ENVIRONMENTAL ENGINEERING TECHNOLOGIES 2**

- Solid waste treatment
- Sources, classification and composition of solid waste
- Hazardous waste treatment
- Transport of hazardous waste
- Planning an inorganic waste treatment plant
- Industrial air emission control
- Agricultural Pollution control

**EE 06 ENVIRONMENTAL MANAGMENT**

- Waste minimization
- Waste reduction techniques
- Benefits of waste minimization
- Environmental impact assessment
- The environmental effects of roads and traffics
- Environmental modeling
- Case study- Plant industry

**EE 07 ENGINEERING ECONOMY**

**EE 06 EE Project**

**ENERGY ENGINEERING (in development)**

The center for Energy and water studies at SSST is part of this program.

Presently all courses offered are based on the model of “MIT Open Course Ware.”

For more information contact: admissions@ssst.edu.ba.