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Kinetics and reaction mechanism of catalysed reactions and structural aspects of catalysts will be highlighted. Emphasis is on the factors that influences catalysts reactivity in both homogeneous and heterogeneous catalysis.
Different methods of preparation and characterization of catalytic material and the underlying principles with regard to industrial application of the catalyst will be discussed. Upon completion, students should be able to develop and apply knowledge in explaining the principles of catalysis in industrial processes, identify methods of preparing and characterizing catalysts such as supported metal catalysts, zeolites and metal oxides. Mathematics is among the most fascinating of all intellectual disciplines, the purest of all art forms, and the most challenging of games.
It is a study of quantity, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms, definitions and theorems. Mathematics is applied as an essential tool in many fields, including natural sciences, engineering, medicine, and the social sciences.
Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and operational research.
Industrial mathematics is one of the strands of applied mathematics aimed at industries. The study of mathematics is not only exciting, but important: mathematicians have an opportunity to make a lasting contribution to society by helping to solve problems in such diverse fields as medicine, management, economics, government, computer science, physics, psychology, engineering, and social science.
This course aims at exposing students to this wonderful world of mathematics. The course also enhances conceptual understanding in elementary mathematics such as indices, logarithm, radicals, trigonometry, vectors, complex numbers and mathematical induction.
Upon completion, the students would have acquired some firm basic tools to pursue further mathematics. This course strengthens principles of chemistry knowledge before proceeding to more specialized and higher levels chemistry subjects. The first part of this course exposes students to fundamentals of atoms and molecules and concepts which are known to be the main sources of chemical processes.
The second part of this course concentrates on stoichiometry and the relation between reacted species in reactions. The last part of this course strengthen student in term of fundamental knowledge of organic chemistry and introduces students the ideas of green chemistry concept.
This course emphasis on working with data and the understanding of the different methods of designing and analyzing of the data. Methods of designing experiments are intended for undergraduates with good algebra background and have been introduced to basic statistics. Students will also undergo training in using data analysis packages, including, but not limited to, the SPSS and Microsoft Excel. This course introduces basic tools to derive and construct mathematical models using partial differential equations.
Emphasis is given to the use of a conservation law. The methods of characteristics and separation of variables will be applied to solve the model equations. This course introduces the basic problems and techniques of decision making and comprises two major parts.
The first part covers basic principles and approaches in decision making. The second part explores the methods and applications of information that are used in making an optimal decision. The course also covers differences between the classical frequencies approach and Bayesian approach in making decision, identify prior distributions and likelihood functions, and combine these two entities to obtain appropriate posterior distributions, which will then be combined with selected loss functions to obtain Bayesian estimators.
Concepts of conjugate distributions on prior and posterior distributions, important definitions in decision theory, proving admissibility and inadmissibility of a decision, process of making an optimal decision, utility and reward, and sensitivity analysis related to an optimal decision are also part of the course. This course is an introduction to the theory and methods behind optimization under competing objectives involving single and also multiple decision makers. In this course, several approaches for finding the solution to the multi criteria decision problems will be explored, as well as the concepts of Pareto optimality and tradeoff curves to better understand the tradeoffs between objectives that occur in multi-objective decision making problems.
This course consists of two parts. The first part includes introduction to groups, types of groups, isomorphism between groups, composition of groups to form a direct product, and types of subgroups including normal subgroups and factor groups. The second part is a selected topic of Sylow Theorems and their applications. The course is designed to provide students to learn time series modelling in theory and practice with emphasis on practical aspects of time series analysis.
Methods are hierarchically introduced-starting with terminology and exploratory graphics, progressing to descriptive statistics, and ending with basic modelling procedures. The time series modelling will start with reviewing the fundamental concepts in regression, exponential smoothing and general class of Box Jenkins models.
This course discusses various scheduling classes namely single machine, parallel machine, flow shop, job shop and open shop. Approaches for modelling and solving scheduling problems of the mentioned scheduling classes will be discussed. Various performance measures will be considered in obtaining a good schedule.
This course comprises of three parts. The first part is concerned with even, odd, periodic and orthogonal functions, its properties, Fourier series of periodic.
The second discuss about partial differential equations PDE. Linear and nonlinear first order equations. Classification of linear second order equations. The last part deals with complex variables. This part of the course introduces calculus of functions of a single complex variables. Topics covered include the algebra and geometry of complex numbers, complex differentiation and complex integration.
This course discusses problem using numerical methods that involve systems of nonlinear equations and ordinary differential equations initial and boundary value problems. This is an introduction to the theoretical and practical techniques in multivariate analysis.
The theoretical links between multivariate techniques and corresponding univariate techniques, where appropriate is highlighted. Also, selected multivariate techniques are introduced. The course also covers relevant multivariate methods in R statistical programming software. This course introduces the theory of inferential statistics. It is concerned with the frequentist approach to inference covering point and interval estimation of parameters and hypothesis testing.
Properties of estimators such as unbiasedness and sufficiency are applied to estimators of parameters of various distributions. Test of statistical hypotheses include certain best test, uniformly most powerful tests, likelihood ratio tests and chi-square tests. This course comprises of two parts; the first part covers topics on unconstrained optimisation such as one-dimensional and n-dimensional search methods, interpolation method and gradient methods. The second part covers topics on constrained optimisation such as the Kuhn Tucker method, modified Hooke and Jeeves search method, complex method, penalty function methods, and the Sequential Unconstrained Minimization Technique SUMT.
This course consists of two parts that is the theory of generalized linear model and the application of generalized linear model in regression model, one-factor analysis of variance and two-factor analysis of variance. SPSS statistical package is used to apply generalized linear model to the above models. This course introduces sampling methods used in sample surveys. The students are given a comprehensive account of sampling theory for use in sample surveys and include illustrations of how the theory is applied in practice.
A prerequisite is familiarity with algebra, knowledge of probability for finite sample spaces and basic statistics. Topics include simple random sampling, sampling proportion and percentages, estimation of sample sizes, stratified random sampling, ratio estimators, systematic sampling, and cluster sampling.
This course introduces the application and theoretical background of basic discrete-event simulation concepts and models. Topics included the basic queuing systems, random number generation, model development, model verification and validation and result analysis.
Students will be exposed to simulation model development using a simulation package. The course also helps the students to expand their critical thinking skills by experimenting with the simulated model for improvement.
The course begins with an introduction to basic financial mathematics covering the computation of simple interest and discount rates, deriving the compound interest, and applications of different rates of interest in determining the present and future values of different types of annuities for different time periods.
The second part of the course concerns with classical quantitative finance i. An introduction to the subject of finance is presented. This consists of a collection of definitions and specifications concerning the financial markets in general.
Then, the subject of derivatives and its concepts are introduced. Two main option pricings for pricing derivatives are examined: The Binomial option pricing and the Black-Scholes option pricing. Physics is one of the most fundamental scientific disciplines with the main goal of understanding how the universe behaves. It covers a wide range of phenomena from the smallest sub-atomic particles to the largest galaxies, it is the scientific study of matter and energy and how they interact with each other.
Physicist is a scientist who studies or practices physics. Examples of careers in physics are scientists and researchers in various fields of scince and technology. The philosophy of physics is essentially a part of the philosophy of science. This course mainly discusses motion of a body or a system.
Beginning with the basic and derived physical quantities and vector as mathematical tool, various types of motion such as linear, free-fall, projectile, circular, rotational and simple harmonic motions are described. Other topics such as equilibrium, elasticity, gravitation and fluids mechanics illustrate the application of a body in motion under the influence of a force.
The course examines the force of electromagnetism, which encompasses both electricity and magnetism. It includes the exploration of some electromagnetic phenomena. It begins by examining the nature of electric charge and then a discussion of interaction of electric charges at rest. It then study about charges in motion particularly electric circuit. The principle of electromagnetic induction and how resistors, inductors and capacitors behave in ac circuits is discussed. The understanding the electrical energy-conversion devices such as motors, generators and transformers are also discussed.
Finally the study of the four fundamental equations that completely described both electricity and magnetism. An introductory first course in differential equations. Topics include first order ordinary differential equations ODEs , linear second order ODEs with constant coefficients, the Laplace transform and its inverse, Fourier series, and elementary partial differential equations PDEs. Students will learn how to classify and solve first order ODEs, solve second order linear ODEs with constant coefficients using the method of undetermined coefficients and variation of parameters, use the technique of Laplace transforms to solve ODEs with specified initial or boundary conditions, and use the technique of separation of variables to solve initial-boundary value problems involving heat and wave equations and boundary value problems involving Laplace equation.
The course begins with the hybrid h and phi small signal models for transistor. The small signal amplifiers and power amplifiers are analysed. The operational amplifier and its applications such as summing, differential amplifier, differentiator or integrator, and active filter are discussed.
Sensors and amplification of signals are introduced. Basic concepts and principles of digital circuits, number codes and number system, Boolean algebra, logic gates, Karnaugh maps, IC specification and interfacing, encoding and decoding, flip-flops, counters, shift registers and digital arithmetic circuits are also discussed. Analog to digital and digital to analog conversion are covered.
The course will be conducted by lectures and hands-on to provide students with basic concepts and practical experience in advanced analog and digital electronics. A student is required to plan a project research under a supervisor in an agreeable field of physics and document the findings. The course introduces major non-destructive testing NDT methods such as penetrant testing, magnetic particle testing, industrial radiography and Eddy current testing.
Discussion of their physical principles and the techniques used follows. Specific application techniques based on the methods are discussed in detail, focussing on parameters affecting the outcome of each NDT method. The applications of eddy current techniques in material inspection such as thin plates and tubes are described. In radiography, the parameters affecting the exposure and the radiograph quality are discussed.
The codes and standards and their application to specific NDT methods are described. Acceptance criteria applicable to specific requirements are also discussed. Safety aspects in NDT which include radiation and work safety are emphasized.
The subject of industrial electronics is introduced. Discrete control, input and output devices, solid state devices in industrial electronics are described. Operational amplifiers and linear ICs. SCRs, triacs and other thyristors are discussed. Discrete automation sensors and devices, analog process control devices and sensors are highlited.
Other topics covered are safety, DC motors and control circuits, AC motors and variable speed drives, special purpose motor and control devices programmable logic controllers embedded microcontrollers, open and closed loop process control. The course provides the basic knowledge of electronic devices, motors and machines related to industrial applications and the working principle of common instruments in industrial applications.
This course introduces students to the principle and the various techniques in electronic circuit simulation such as DC, AC, transients, and worst-case scenario analysis.
Noise and performance analysis, harmonic distortion and sensitivity analysis are also discussed. The course focuses on discrete passive and active electronic components. The course provides alternative way to experience circuit building and analysis without having to build real circuit. The course starts with the discussion on the breadth and depth of digital signal processing. Then students will learn about the mathematics essential to signal processing such as statistics, probability, complex number, matrices and polynomial.
Analog to digital converter and digital to analog converter. This course introduces basic concepts and techniques for interfacing a microcontroller to external devices for data collection and process control and developing the related software required.
This includes transferring and converting analog variables into the digital form needed for processing. It is aimed at students interested in data acquisition and real-time control systems. The important detection techniques of ionizing radiations are introduced. The discussion begins with introducing the principles of radiation detection related to radiation units, radiation sources and radiation interactions.
Nuclear radiation detector parameters such as detector model, detector efficiency, energy resolution, counting curve and counting statistics are discussed. The principles of operation and basic characteristics of various detection systems are outlined. Various nuclear detectors such as gas filled detector, scintillation detector and semiconductor detector are described. The course also emphasizes on the principle and operation of thermal and fast neutron detector.
The principle of radiation dosimetry such as thermoluminescent dosimetry, chemical dosimetry, film dosimetry and calorimeter are also discussed at the end of the course.
The course is designed to ground students in the principles of radiation protection, that is, on justification, optimization and dose limits. It emphasizes on the theories, the techniques and the procedures for external dose control that is the use of distance, shielding and time. Internal dose control, including introduction to the physics of aerosol, use of unsealed sources, primary and secondary containments, radioactive laboratories and leak tests are discussed.
The course also discusses organization and radiation protection programmes, emergency procedures, monitoring, radiological protection in radiation devices, transport regulations and radioactive waste management. Upon completion, students should have an overall grasp of the radiation protection principles and practice and most importantly the safety culture required. This course is a follow-up of Nuclear Physics and is designed to expose student to different types of radiation that exist in nature and environment, in particular the nuclear based radiation.
Primary and secondary, directly and indirectly ionizing radiation are differentiated. Interactions of alphas, betas, photons and neutrons with matter are detailed. Radiation effects on materials are discussed.
Applications of radiation in radio tracing, gauging, dating, and industrial imaging are studied. Accelerator as sources of radiation and their usefulness is also covered. Upon completion student are expected to have good grounding in applied radiation physics and ability to explain and discuss the application of radiations in various fields. This course introduces radiation dosimetry as an area of radiation physics. Principle of dosimetry, radiation dose, radiation units, fluence, kerma and absorbed dose will be discussed.
Dosimetry techniques and measurements, Bragg-Gray cavity theory and stopping power are discussed. The working principles of standard air chamber, thimble chamber and its calibration for dose measument are discussed.
High energy photon and electron dosimetry are briefly outlined. Internal dosimetry of beta and gamma, and external neutron dosimetry are also studied. At the end of the course students are expected to have a working knowledge of radiation dosimetry.
This course introduces students to the theoretical basis and the model of the biological effects of radiation. Physical, chemical and cellular perspectives will be elaborated.
It will examine the macroscopic effects of radiation, be it deterministic, somatic, stochastic or genetic. The course will also discuss the effects of ingested radionuclide and the various models involved in it, radiation ecology and the effects of non-ionizing radiations.
At the end of the course, students should be able to make informed judgments on the short and the long-term health physics and radiological protection implications of a radiation exposure. This course introduces basic and important properties of materials. This includes material structures and defects that determine the vital properties such as its mechanical, electrical or optical properties. Students are also taught the important parameters of materials characteristics and methods of testing these parameters.
In general this course provides the relationship between the required properties and materials processing to suit certain product application. The course starts with a brief introduction on the amorphous and ceramic materials, the formation theory and thermodynamic approach. Their preparation techniques will be given consequently. The microscopic and the macroscopic structure of amorphous and ceramic materials which include the bond and the imperfections are discussed.
The physical, mechanical, optical and the electrical properties will be emphasized. The chemical durability of amorphous will be attentively highlighted. In general, the course provides some knowledge on the amorphous and ceramic materials and their characterization that are useful in the glass and ceramic industry. The course starts with basic concept of polymer and degree of polymerization. The classification of polymer will then followed. Preparation techniques and crosslinkages are studied.
The crystallinity, amorphousity and the morphology of the polymer are highlighted. The mechanical, physical and thermal properties will also be presented. In general, the course provides some knowledge on the polymeric material and their characterization that are useful in polymer industry.
Conductance and throughput. Vacuum gauges and pumps. Solidification and crystalization, phase equilibrium diagrams, composition determination, steel hardening process, heat treatment of steel, welding process and types of welding, defects in welding, casting process and types of casting, forging process and defects in forging, types of oxidation formation, corrosion, corrosion protection, metallography testing, mechanical testing.
This course describes the interaction of laser with nonlinear materials. It starts with interaction of photon and atom, followed by discussion of laser operation, laser oscillation, electro-optic, and introduction to non linear optic.
The nonlinear process includes second harmonic generation, parametric and phase conjugation. Finally, the solitary wave in dispersive media for generating ultra-short pulse is discussed. This course introduces the laser source and it application in industry. It covers basic laser, light interaction with atom, laser structure and generation, laser type. The laser sources have been applied in many areas including in industry and holography.
In engineering the laser is used for material processing. Holography is used for quality control. Laser is used to drive fusion interaction.
At the end of your first year or when you complete 4. UTM offers over 90 areas of study, and you can decide how you want to spend your time - you can focus on and specialize in one program, or combine up to three programs that interest you.
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