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Description of Courses
MPS780 Supervised Research I
AUs: 4
Prerequisites: Division approval.
Semester 1
The purpose of this course is to give the student an opportunity to plan and execute the first stage of the graduate thesis. Each student first selects a topic of his/her interest in close cooperation with the supervisor, conducts a bibliographic research and writes up a proposal (format to be advised by the supervisor).
MPS781 Supervised Research II
AUs: 4
Prerequisites: Division approval.
Semester 2
The purpose of this course is to give the student an opportunity to plan and execute the first stage of the graduate thesis. Each student first selects a topic of his/her interest in close cooperation with the supervisor, conducts a bibliographic research and writes up a proposal (format to be advised by the supervisor).
Division of Chemistry and Biological Chemistry
CBC721 Graduate Analytical Chemistry
AUs: 4
Prerequisites: CBC421 Advanced Analytical and Bioanalytical Techniques. CBC426 Chemical Kinetics and Dynamics. Competence in mathematics (experience in solving partial differential equations and Laplace transforms) or Division approval.
Semester 2
This course presents the latest analytical techniques and those that are just emerging. It provides graduate students with the background for research in the field. Emphasis is on experimental techniques and the theory of electroanalytical chemistry.
CBC722 Graduate Inorganic Chemistry
AUs: 4
Prerequisites: CBC312 Organometallic Chemistry or Division approval
Semester 1
A spectrum of essential topics in inorganic chemistry that will be useful for all entry level graduate students will be covered. The topics include physical inorganic chemistry, synthetic methodologies and characterisation techniques. These topics will equip the graduate students with basic knowledge and skills that will enable them to function more effectively in a modern inorganic research environment, and they also form the background knowledge for the more specialised inorganic elective modules.
CBC723 Graduate Organic Chemistry
AUs: 4
Prerequisites: CBC313 Organic Reaction Mechanisms and Synthesis or Division approval
Semester 1
Advanced topics in organic synthesis, including major synthetically useful reactions, with an emphasis on asymmetric processes. Metal-mediated organic transformations. Protecting groups in organic synthesis. Selected mechanisms in organic synthesis.
CBC724 Graduate Physical Chemistry
AUs: 4
Prerequisites: CBC314 Physical and Biophysical Chemistry 2 or Division approval
A broad sweep of the molecular approach to physical chemistry required for research. The core theories of physical chemistry in greater breadth and depth: Quantum theory and spectroscopy, Statistical and equilibrium thermodynamics, and Chemical kinetics and dynamics. Special advanced topics in modern physical chemistry will also be presented.
CBC725 Contemporary Organometallic Chemistry
AUs: 4
Prerequisites: CBC312 Organometallic Chemistry or Division approval
Semester 2
Principles and applications of organometallic compounds: synthesis, reactivity and structural aspects.
CBC726 Advanced Organic Chemistry
AUs: 4
Prerequisites: CBC313 Organic Reaction Mechanisms and Synthesis or Division approval
Semester 2
Biomimetic reactions, the application of organometallics to organic synthesis, synthesis of complex molecules, and other emerging areas in organic synthesis. Students will be required to write a proposal and a review of a topic related to organic synthesis.
CBC727 Molecular Electronic Structure and Spectroscopy
AUs: 4
Prerequisites: CBC 314 Physical and Biophysical Chemistry 2 or Division approval
Molecular mechanics; symmetry; quantum mechanics; electronic structure of atoms; electronic structure of diatomic molecules; self-consistent-field (scf) method; empirical and semiempirical methods; electron correlation methods; qualitative molecular orbital theory; comparisons of computational methods; calculation of molecular properties; molecular modeling software. Rotational spectroscopy; vibrational spectroscopy; atomic spectroscopy; electronic spectroscopy of diatomic molecules; electronic spectroscopy of polyatomic molecules; photoelectron and related spectroscopy; Auger electron and x-ray fluorescence spectroscopy; lasers and laser spectroscopy; magnetic resonance spectroscopy; excitons: theory and applications .
CBC728 Computer Aided Drug Design
AUs: 4
Prerequisites: CBC 921 Computational Chemistry or Division approval
Semester 2
Covers the principles of computational methods used for drug design. Major topics include molecular modeling, computational structural chemistry, computational quantum chemistry, protein/DNA structure, ligand-based drug design and quantitative structure-activity relationship.
CBC729 Graduate Seminar Module (1)
AUs: 4
Prerequisites: Division approval
Semester 1
Experiments are designed to illustrate topics covered in CBC 211 and CBC 214. this Course aims to integrate the chemical principles with biological applications with examples drawn from biochemistry and molecular and cell biology.
Comprise of three components:
- Attend at least 14 seminars of which at least six are given by visitors or staff members and at least six are from CBC729 Graduate Student Symposium, e.g. 6+8, 7+7, etc
- Deliver a 30 to 40-minute talk at the Graduate Student Symposium
- Questions and answers on a specified topic (taken from papers published in the past three years either in organic, inorganic, bio-organic and bio-inorganic related journals)
CBC730 Graduate Seminar Module (2)
AUs: 4
Prerequisites: Division approval
Semester 2
Comprise of three components:
- Attend at least 14 seminars of which at least six are given by visitors or staff members and at least six are from CBC530 Graduate Student Symposium, e.g. 6+8, 7+7, etc
- Deliver a 30 to 40-minute talk at the Graduate Student Symposium
- Questions and answers on a specified topic (taken from papers published in the past three years either in the area of physical, analytical, biophysical and bioanalytical related journals)
CBC731 Quantum Mechanics - A time-dependent perspective
AUs: 4
Prerequisites: CBC 314 Physical and Biophysical Chemistry 2 or Division approval
Time-dependent Schrödinger equation; free particle wave packet; gaussian wave packet; Ehrenfest Theorem; Wigner representation; time-dependent perturbation theory; correlation functions and spectra; approximation methods and numerical methods; molecular dynamics; wave packet approach to one- and two-photon electronic spectroscopy; femtosecond spectroscopy; wave packet approach to reactive scattering.
CBC732 Graduate Chemical Biology
AUs: 4
Prerequisites: Division approval
Semester 1
Science at the interface between fields has always incubated innovation. This class will describe modern advances at the interface between chemistry and biology.
The goal of the course is to introduce students with a chemical background to techniques to current research questions in biology, and to present and critique current research at the chemical/biology interface.
The course will discuss biological topics not limited to nor entirely inclusive of: protein, nucleic acid, carbohydrate structure; enzyme catalysis and inhibition; metabolism; signal transduction; cancer and virus biology; molecular biology; transcription and translation; protein folding. Modern interfacial research to be discussed may include: “-omics” and systems biology; display techniques; “bump hole” techniques; artificial amino acid misincorporation and mis-sense/Amber suppression; bio-engineering techniques for the production of novel natural products; eDNA; chemical inducers of dimerization; inhibitors of protein-protein interactions; switchable and catalytic nucleic acids.
CBC733 Advanced Computational Chemistry
AUs: 4
Prerequisites: Phd Advisor and Division approval
Semester 1
Student attending the course will learn how to choose and how to use appropriate computer programs to study reaction mechanisms, catalysis, transport phenomena, organic and bioorganic binding, device simulations and molecular conformation. Students will be required to complete a computational project in discussion with the module lecturer and their research advisor to obtain hands-on experience.
Note: The above courses are subject to revision. Please check http://www.spms.ntu.edu.sg regularly to read the latest updates.
Division of Mathematical Sciences
MAS 710 Continuous Methods
Course type: Core
AUs: 4,
Prerequisites: Division approval
Abstract integration (basic topology, general Lebesgue-like integrals and measures), positive Borel measures (Riesz representation theorem for positive linear functionals), L p-spaces, integration on product spaces, abstract differentiation, holomorphic functions.
MAS 711 Discrete Methods
Course type: Core
AUs: 4
Prerequisites: Division approval
Enumeration, graph and network algorithms, finite fields and applications, Boolean algebras, polyhedra and Linear Programming, algorithmic complexity.
MAS 712 Algebraic Methods
Course type: Core
AUs: 4
Prerequisites: Division approval
Groups, rings, fields, basic techniques of Group Theory, Galois Theory.
MAS 713 Mathematical Statistics
Course type: Core
AUs: 4
Prerequisites: Division approval
Review of probability, random variables and their distributions, moments and inequalities; point estimation in parametric setting; point estimation in nonparametric setting; interval estimation and hypothesis test.
MAS 714 Algorithms and Theory of Computing
Course type: Core
AUs: 4
Prerequisites: Division approval
Turing machine, Time complexity, Space complexity, Algorithm design and analysis (greedy, divide and conquer, dynamic programming), Graph algorithms, Network flow.
MAS 720 Topics in Discrete Mathematics I
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Discrete Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Combinatorics, Coding Theory, Cryptography, Network Algorithms, Bioinformatics.
MAS 721 Topics in Scientific Computation I
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Scientific Computation will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Functional Analysis, Partial Differential Equations, Computational Fluid Dynamics, Computational Biology.
MAS 722 Topics in Pure Mathematics I
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Pure Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Commutative Algebra, Topology, Differential Geometry, Mathematical Logic, Functional Analysis.
MAS 723 Topics in Probability and Statistics I
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Statistics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Survival Analysis Theory and Method, Computational Statistics, Time Series Analysis, Statistical Learning etc.
MAS 725 Topics in Discrete Mathematics II
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Discrete Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Combinatorics, Coding Theory, Cryptography, Network Algorithms, Bioinformatics.
MAS 726 Topics in Scientific Computation II
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Scientific Computation will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Functional Analysis, Partial Differential Equations, Computational Fluid Dynamics, Computational Biology.
MAS 727 Topics in Pure Mathematics II
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Pure Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Commutative Algebra, Topology, Differential Geometry, Mathematical Logic, Functional Analysis.
MAS 728 Topics in Probability and Statistics II
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Statistics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Survival Analysis Theory and Method, Computational Statistics, Time Series Analysis, Statistical Learning etc.
MAS 740 Topics in Discrete Mathematics III
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Discrete Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Combinatorics, Coding Theory, Cryptography, Network Algorithms, Bioinformatics .
MAS 741 Topics in Scientific Computation III
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Scientific Computation will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Functional Analysis, Partial Differential Equations, Computational Fluid Dynamics, Computational Biology .
MAS 742 Topics in Pure Mathematics III
Course type: Elective
AUs: 4
Prerequisites: Division approval
Topics in Pure Mathematics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Commutative Algebra, Topology, Differential Geometry, Mathematical Logic, Functional Analysis.
MAS 743 Topics in Probability and Statistics III
Course type: Elective
AUs: 3
Prerequisites: Division approval
Topics in Statistics will be covered to provide background knowledge necessary to conduct independent research in the area, e.g. topics from Survival Analysis Theory and Method, Computational Statistics, Time Series Analysis, Statistical Learning etc.
MAS 790 Graduate Seminar – Discrete Mathematics I
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Discrete Mathematics and according to the interests of students.
MAS 791 Graduate Seminar – Discrete Mathematics II
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Discrete Mathematics and according to the interests of students.
MAS 792 Graduate Seminar – Scientific Computation I
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Scientific Computation and according to the interests of students.
MAS 793 Graduate Seminar – Scientific Computation II
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Scientific Computation and according to the interests of students.
MAS 794 Graduate Seminar – Pure Mathematics I
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Pure Mathematics and according to the interests of students.
MAS 795 Graduate Seminar – Pure Mathematics II
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Pure Mathematics and according to the interests of students.
MAS 796 Graduate Seminar – Statistics I
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Statistics and according to the interests of students.
MAS 797 Graduate Seminar – Statistics II
Course type: Seminar
AUs: 4
Prerequisites: Division approval
Topics will be chosen to cover new developments in research in Statistics and according to the interests of students.
Note: The above courses are subject to revision. Please check http://www.spms.ntu.edu.sg regularly to read the latest updates.
Division of Physics and Applied Physics
PAP701 Graduate Seminar Module
AUs: 4
Prerequisites: Division approval
Semester 1
The main purpose of this course is to improve the presentation skills of our graduate students so that they will be able to participate in scientific seminars/exchanges in a professional manner. They will address scientific issues and interact with fellow professionals with confidence. This course will also teach the students essential skills for scientific research. This is a mandatory course for all research MSc and PhD students.
PAP710 Concepts in Statistical Mechanics
AUs: 4
Prerequisites: Division approval
Semester 2
This course introduces students to a modern treatment of Statistical Mechanics. It will cover the foundations of Statistical Mechanics, its applications to ideal and interacting systems, as well as to systems near and far away from equilibrium.
PAP711 Graduate Solid State Physics
AUs: 4
Prerequisites: PAP442 Advanced Solid State Physics, or Division approval
Semester 1
This course will provide students with an understanding of the advanced concepts in the structure and properties of solids including cooperative and many-body effects that influence the transport, optical and magnetic properties of solids.
PAP712 Computer Simulations in Physical Sciences
AUs: 4
Prerequisites: PAP 311 Quantum Mechanics and PAP 321 Statistical Mechanics, or Division approval
This course is introduced to equip students with a fundamental knowledge of computer simulations and the basic skills for data and error analysis (averages, fluctuations, and correlation functions). Monte Carlo and molecular dynamics methods will be introduced and a few advanced topics focusing on the application aspects will be covered. In this course, the students will learn to carry out computer simulations, and be equipped with the ability to read the published work critically and assess its quality.
PAP713 Statistical Mechanics of Protein Folding
AUs: 4
Prerequisites: PAP 321 Statistical Mechanics or PAP 710 Concepts in Statistical Mechanics
This course introduces an approach to protein folding from the point of view of kinetic theory. There is an abundance of data on protein folding, but few proposals are available on the mechanism driving the process. This course will include suggestions on possible research directions.
PAP714 Frontiers of Modern Physics
AUs: 4
Prerequisites: Division approval
Based on knowledge of the Schrodinger wave function and symmetry principles, the course is designed as an introduction to the frontiers of modern physics, spanning from the nano to the cosmic. As physics has developed over many new fronts, and specialization sets in ever earlier in the life of a physicist, there is a need to develop the ability to look beyond the turf and appreciate the unity of physics.
PAP715 Materials Physics
AUs: 3
Prerequisites: PAP442 Solid State Physics II or Division approval
Semester 1
The students should learn the basic skills to establish the quantitative models based on modern thermodynamics; From the successful energy approaches, they will learn to understand many related experimental observations; They should also master the basic mathematical knowledge to solve the general nonlinear problems.
PAP716 Classical Electrodynamics
AUs: 4
Prerequisites: Division approval
Semester 2
This course introduces students to the mathematical structures in the theory of special relativity, and the covariant formulation of Maxwell’s equations. Using this relativistic formulation as a starting point, students will learn about electromagnetic radiation from accelerating systems of charges, and thereby understand the scattering of electromagnetic waves as forced oscillation of, and subsequent re-radiation by, such systems of charges.
PAP719 Graduate Seminar Module II
AUs: 4
Prerequisites: Division approval
This is the sequel to PAP 501 Graduate Seminar course I, with the objective of further developing the presentation skills of graduate students. The course aims to cultivate an ability to critically review scientific reports and presentations and allow students to gain opportunities for entering into scientific exchange in a professional manner. This course will also teach the students essential skills for survey of scientific literature and formulating a research project. This is an elective course.
PAP721 Nonlinear Dynamics
AUs: 4
Prerequisites: PAP 352 Chaotic Dynamical Systems and PAP 441 Advanced Quantum Physics, or Division approval
Semester 2
This course provides students with the concepts and theories on nonlinear dynamical systems both in the classical and the quantum domains. Through this course, the student will come to appreciate the beautiful parallels between methods in nonlinear dynamics and thermodynamics; and gain a new perspective on quantum mechanics by studying quantum systems that correspond to classically chaotic systems. By working on a term project, the students will acquire the skills to investigate into interesting problems within the area of nonlinear science, and to formulate and answer questions that are of both theoretical and practical importance.
PAP731 Optical Spectroscopic Techniques
AUs: 4
Prerequisites: PAP 362 Photonics or PAP 442 Advanced Solid State Physics or Division approval
Semester 1
This course provides students with an understanding of the fundamental principles of photon-matter interaction, and how material properties such as acoustic and optical phonons as well as electronic structures can be studied using the interactions. The students will also learn the near-field scanning imaging techniques with nanometer spatial resolution that holds great promise for non-destructive structural characterization of nano-devices. The lectures will be supplemented with research results to illustrate how the techniques are used in research.
PAP732 Nonlinear Optics
AUs: 4
Prerequisites: PAP362 Photonics and PAP462 Quantum Electronics, or Division approval
Semester 2
The course aims to provide a comprehensive understanding on the principles of nonlinear optics and is targeted at postgraduate students who have acquired a background in optics. The main content of the module introduces the principles of nonlinear optics and photonics devices used in modern optical communications, covered in four parts: Nonlinear optical susceptibility; Second-order nonlinear effects; Third-order nonlinear effects; Ultrafast laser optics.
PAP733 Elements of Modern Biophysics
AUs: 4
Prerequisites: PAP 363 Biophysics or Division approval
This course will provide students with an understanding of some important aspects of biophysics. The course will present a new perspective on how physics allows us to measure and explain a number of phenomena of biological origin.
PAP738 Topics in Physics
AUs: 4
Prerequisites: Division approval
Semester 1
This course introduces students to specialized topics in Physics which are of current interest in research and development. Topics are chosen from various areas of Physics, e.g. atmospheric physics, statistical physics and computational physics.
PAP739 Topics in Applied Physics
AUs: 4
Prerequisites: Division approval
Semester 2
The main purpose of this course is to introduce students to specialized topics in Applied Physics that may not otherwise be offered in the regular curriculum. The selection of the topics would be based on a broad spectrum of current areas of interest that will be useful towards research-oriented teaching. The in-depth treatment on these specialized topics will provide a thorough treatment that enables the student to gain mastery of the subject matter quickly. This is an elective course.
Note: The above courses are subject to revision. Please check http://www.spms.ntu.edu.sg regularly to read the latest updates.
Division of Earth Sciences
EAR701 Natural Hazards and Society
AUs: 4
Prerequisites: Division approval
Semester 1
This course examines the natural and human dimensions of hazards such as earthquakes, tsunamis, volcanic eruptions, tropical storms, floods, landslides, soil erosion and desertification. Course work focuses on the causes of major natural hazards -- such as climate change, sea-level rise, and tectonics – as well as their spatial and temporal distribution. Moreover, students will be exposed to the assessment of risks posed to society and possibilities for sustainable adaptation.
EAR702 EOS/DES Seminar
AUs: 3
Prerequisites: Division approval
Semester 1 & 2
Weekly seminars will provide exposure to a broad range of research in the earth sciences. Speakers will be from the Earth Observatory of Singapore, other academic groups at NTU, and other universities and research institutes. Students are required to attend 8 seminars and to participate in a discussion session following each of these. Students will submit written and oral reports on 3 of the seminars, summarizing and critiquing the work, methods and conclusions presented.
EAR 703 Reviews of Special Topics in Earth Sciences
AUs: 3
Prerequisites: Division approval
Semester 1
Keeping abreast of important advances in science requires not only keen research skills and avid study but also the ability to identify the published wheat from the chaff. This course will introduce students to important new literature and at the same time teach them to effectively identify important new work through a series of reviewing exercises that teach critical and efficient analysis of material in mainstream media, grey-media and peer-reviewed journals. To aid in the development of their own writing skills, students will also be asked to examine critically the writing styles exemplified in the reviewed materials.
This course requires a student to investigate and review the current state of knowledge of a field in their area of specialization. Students are encouraged to use this opportunity to develop a strong background in their research field and to produce a review paper.
EAR704 Field Studies
AUs: 3
Prerequisites: Division approval
Semester 1 & 2
Graduate students in DES must participate in at least one field campaign with a DES faculty member, regardless of their faculty specialization. The student will assist in planning for the field trip, collect data and/or samples, make maps and sketches and keep a detailed record of observations and interpretations. A scientific report, written upon completion of the field trip, will describe the scientific purpose and outcome of the campaign.
EAR705 Foundations of Earth Sciences
AUs: 3
Prerequisites: Division approval
Semester 2
An introduction to the physical and chemical processes that shape the earth. Topics covered include: early earth, earth structure, earth materials, plate tectonics, earth resources, earth system science, and earth surface processes.
EAR706 Tectonics and Seismotectonics
AUs: 3
Prerequisites: Division approval
Semester 2
This course investigates the processes at work in the main tectonic environments of our planet (rifts and ridges, subduction zones, collisional mountain- and plateau-building, and strike-slip faults). Physical mechanisms of deformation are introduced, based on theoretical and experimental rock mechanics, and it is shown how they operate in integrated fashion over a wide range of spatial and time scales (from crystals to plates, and from millions of years to seconds). Examples will be drawn from the most typical and best understood regions of the world, with a strong emphasis on eastern Asia. The emphasis will also be placed on active faulting and tectonics, to throw light on the processes through which faults generate earthquakes, and on what can be learnt about crustal structure and rheology from earthquakes. Large-scale deformation models will be discussed. The course includes a field trip to one outstanding region of Asia or the world (for example, the Himalayan MFT in Nepal, Ailao Shan Shear zone in Yunnan, Assal Rift in Djibouti).
EAR707 Volcanic Processes
AUs: 3
Prerequisites: Division approval
Semester 2
This course will cover pre-, syn-, and post-eruption processes. It will cover the basic physical and chemical properties of magma, supply from depth into upper crustal reservoir(s) and further ascent to the surface, various rates and styles of eruption, and relations of all of these to regional tectonics. We will study the geological, geophysical, and geochemical changes from which eruptions can be forecast, and processes by which erupted products are redistributed after eruptions. Finally, we’ll look at how to reconstruct magmatic and eruptive histories of volcanoes. The course will include a field trip to an active volcano with recent deposits and geochemical and geophysical unrest.
Note: The above courses are subject to revision. Please check http://www.earthobservatory.sg regularly to read the latest updates.
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