Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Prerequisites: one year of biology, normally
BIOL C2005-C2006
, or the equivalent.
Cell Biology 3041/4041 is an upper-division course that covers in depth all organelles of cells, how they make up tissues, secrete substances important for the organism, generate and adapt to their working environment in the body, move throughout development, and signal to each other. Because these topics were introduced in the Intro Course (taught by Mowshowitz and Chasin), this course or its equivalent is a pre-requisite for W3041/4041. Students for whom this course is useful include biology, biochem or biomedical engineering majors, those preparing to apply for medical school or graduate school, and those doing or planning to start doing research in a biology or biomedical lab. SCE and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar. http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Prerequisites:
MATH V1102-MATH V1202
and
MATH V2010
, or the equivalent.
The second term of this course may not be taken without the first. Groups, homomorphisms, rings, ideals, fields, polynomials, field extensions, Galois theory.
A study of the 20th-century Polish novel during its most invigorated, innovative inter-war period. A close study of the major works of Kuncewiczowa, Choromanski, Wittlin, Unilowski, Kurek, Iwaszkiewicz, Gombrowicz, and Schulz. The development of the Polish novel will be examined against the background of new trends in European literature, with emphasis on the usage of various narrative devices. Reading knowledge of Polish desirable but not required. Parallel reading lists are available in the original and in translation.
Prerequisites:
MATH V1102-MATH V1202
and
MATH V2010
, or the equivalent.
The second term of this course may not be taken without the first. Groups, homomorphisms, rings, ideals, fields, polynomials, field extensions, Galois theory.
Prerequisites:
MATH W4041-W4042
or the equivalent.
Algebraic number fields, unique factorization of ideals in the ring of algebraic integers in the field into prime ideals. Dirichlet unit theorem, finiteness of the class number, ramification. If time permits, p-adic numbers and Dedekind zeta function.
Prerequisites:
MATH W4041
,
W4042
and
MATH V3007
.
Plane curves, affine and projective varieties, singularities, normalization, Riemann surfaces, divisors, linear systems, Riemann-Roch theorem.
Prerequisites: Course Cap 20 students. Priority given to graduate students in the natural sciences and engineering. Advanced level undergraduates may be admitted with the instructor's permission. Calculus I and Physics I & II are required for undergraduates who wish to take this course.
General introduction to fundamentals of remote sensing; electromagnetic radiation, sensors, interpretation, quantitative image analysis and modeling. Example applications in the Earth and environmental sciences are explored through the analysis of remote sensing imagery in a state-or-the-art visualization laboratory.
The course offers an overview of the historiography of the Mediterranean from Braudel to the contemporary debate about Mediterraneism in Italian literature and philosophy. We will use Italian literary sources, such as Matteo Bandello, Carlo Levi, and Vincenzo Consolo to discuss historiography of the Mediterranean. PDFs or photocopies of the texts will be distributed one week before each class meeting so that students may prepare them for class discussion. In English with selected readings in Italian.
This course is a critical examination of some major texts in aesthetics including Plato, Aristotle, Hume, Winckelmann, Lessing, Hume, Goethe, Kant, Schiller, Hegel, and Nietzsche.
Intensive study of a philosophical issue or topic, or of a philosopher, group of philosophers, or philosophical school or movement. Open only to Barnard senior philosophy majors.
This course gives students two credits of academic credit for the work they perform in such an social science oriented internships.
Prerequisites: this course is intended for sociology Ph.D. and SMS students. No others without the instructor's written permission.
Foundational sources and issues in sociological theory: Adam Smith, Marx, Durkheim, Weber, Simmel, Mead, Mauss, others; division of labor, individualism, exchange, class and its vicissitudes, social control, ideas and interests, contending criteria of explanation and interpretation.
Prerequisites:
MATH V1202, MATH V2010,
and rudiments of group theory (e.g.,
MATH W4041
).
MATH V1208
or
W4061
is recommended, but not required.
Metric spaces, continuity, compactness, quotient spaces. The fundamental group of topological space. Examples from knot theory and surfaces. Covering spaces.
A substantial paper, developing from an Autumn workshop and continuing in the Spring under the direction of an individual advisor. Open only to Barnard senior philosophy majors.
Prerequisites: the instructor's permission.
The laboratory has 13 available individual experiments, of which two are required per 2 points. Each experiment requires two (four-hour) laboratory sessions. Registration is limited by the laboratory capacity. May be repeated for credit with different experiment selection. Experiments (classical and modern) cover topics in electricity, magnetism, optics, atomic physics, and nuclear physics.
This course emphasizes the perspectives of foundational thinkers on the evolution and dynamics of social life. Readings address key sociological questions; including the configuration of communities, social control, institutions, exchange, interaction, and culture.
The aim of this course will be two-fold: first to initiate a detailed study of the school of Indian history called Subaltern Studies which achieved immense attention and popularity starting from the 1980s; secondly, to study, through these writings, the epistemological problems of critical historical and social science scholarship. The discussions will be on two levels – every week there will be a reading from the subaltern studies history, but this would be linked to thinking about some specific theoretical issue, and the historiographic difficulties of investigating the history of social groups and actors who were conventionally kept outside mainstream histories. It will track the intellectual trajectory of subaltern studies intellectual work as it expanded , moving from histories of the peasantry, the working class, tribals, women, lower castes, subordinate nations, to raising larger theoretical and methodological questions about critiques of nationalist history, of European history and social science to the general question of knowledge about the modern world and the languages in which it should be examined. In the last section, we shall discuss if SS contains a promise of similar forms of critical knowledge in other parts of the world, and whether it can be used to examine the conceptual structures of modern social sciences in general.
Prerequisites: ELEN E1201.
Recommended: ELEN E3000. Enrollment limited to 12 students. Mechatronics is the application of electronics and microcomputers to control mechanical systems. Systems explored include on/off systems, solenoids, stepper motors, dc motors, thermal systems, magnetic levitation. Use of analog and digital electronics and various sensors for control. Programming microcomputers in Assembly and C. A lab fee of $75.00 is collected.
The class is roughly divided into three parts: 1) programming best practices and exploratory data analysis (EDA); 2) supervised learning including regression and classification methods and 3) unsupervised learning and clustering methods. In the first part of the course we will focus writing R programs in the context of simulations, data wrangling, and EDA. Supervised learning deals with prediction problems where the outcome variable is known such as predicting a price of a house in a certain neighborhood or an outcome of a congressional race. The section on unsupervised learning is focused on problems where the outcome variable is not known and the goal of the analysis is to find hidden structure in data such as different market segments from buying patterns or human population structure from genetics data.
Introduction to the information system paradigm of molecular biology. Representation, organization, structure, function and manipulation of the biomolecular sequences of nucleic acids and proteins. The role of enzymes and gene regulatory elements in natural biological functions as well as in biotechnology and genetic engineering. Recombination and other macromolecular processes viewed as mathematical operations with simulation and visualization using simple computer programming. This course shares lectures with ECBM E3060, but the work requirements differ somewhat.
The course is taught in three modules, each lasting four weeks and taught by a different faculty member. This course offers an introduction to delve into three methods used in sociological inquiry: ethnography, social network analysis, and historical and comparative research. Students will read pieces that discuss the priciples of each methodology as well as examples of each method put to work in a research project.
Prerequisites:
MATH V1202
or the equivalent, and
V2010
. The second term of this course may not be taken without the first.
Real numbers, metric spaces, elements of general topology. Continuous and differential functions. Implicit functions. Integration; change of variables. Function spaces.
Prerequisites:
MATH V1202
or the equivalent, and
V2010
. The second term of this course may not be taken without the first.
Real numbers, metric spaces, elements of general topology. Continuous and differential functions. Implicit functions. Integration; change of variables. Function spaces.
The Proseminar fulfills two separate goals within the Free-Standing Masters Program in Sociology. The first is to provide exposure, training, and support specific to the needs of Masters students preparing to move on to further graduate training or the job market. The second goal is to provide a forum for scholars and others working in qualitative reserach, public sociology, and the urban environment.
This two-semester sequence supports students through the process of finding a fieldwork site, beginning the field work required to plan for and develop a Masters thesis, and the completion of their Masters thesis.
Prerequisites:
MATH V1207
and
MATH V1208
or
MATH W4061
.
A theoretical introduction to analytic functions. Holomorphic functions, harmonic functions, power series, Cauchy-Riemann equations, Cauchy's integral formula, poles, Laurent series, residue theorem. Other topics as time permits: elliptic functions, the gamma and zeta function, the Riemann mapping theorem, Riemann surfaces, Nevanlinna theory.
This seminar gives you an opportunity to do original sociological research with the support of a faculty member, a teaching assistant, and your fellow classmates.
Prerequisites:
CHEM W3443-CHEM W3444
or
CHEM W3045-CHEM W3046
.
Principles governing the structure and reactivity of inorganic compounds surveyed from experimental and theoretical viewpoints. Topics include inorganic solids, aqueous and nonaqueous solutions, the chemistry of selected main group elements, transition metal chemistry, metal clusters, metal carbonyls, and organometallic chemistry.
Prerequisites: all 6 MAFN core courses, at least 6 credits of approved electives, and the instructor's permission. See the MAFN website for details.
This course provides an opportunity for MAFN students to engage in off-campus internships for academic credit that counts towards the degree. Graded by letter grade. Students need to secure an internship and get it approved by the instructor.
Prerequisites:
MATH V1202, V3027, STAT W4150, SEIOW4150
, or their equivalents.
The mathematics of finance, principally the problem of pricing of derivative securities, developed using only calculus and basic probability. Topics include mathematical models for financial instruments, Brownian motion, normal and lognormal distributions, the BlackûScholes formula, and binomial models.
Prerequisites: three MAFN core courses, at least three credits of MAFN-approved electives, and the instructor's permission. See the MAFN website for details.
This course provides an opportunity for MAFN students to engage in unpaid internships for academic credit on a pass / fail basis. Students need to secure an internship and get it approved by the instructor. For unpaid internships only.
Prerequisites: two semesters of a rigorous, molecularly-oriented introductory biology course (such as
C2005
and
C2006
), or the instructor's permission.
This course will cover the basic concepts underlying the mechanisms of innate and adaptive immunity, as well as key experimental methods currently used in the field. To keep it real, the course will include clinical correlates in such areas as infectious diseases, autoimmune diseases, cancer, and transplantation. Taking this course won't turn you into an immunologist, but it may make you want to become one, as was the case for several students last year. After taking the course, you should be able to read the literature intelligently in this rapidly advancing field.
Prerequisites: knowledge of statistics basics and programming skills in any programming language.
Surveys the field of quantitative investment strategies from a "buy side" perspective, through the eyes of portfolio managers, analysts and investors. Financial modeling there often involves avoiding complexity in favor of simplicity and practical compromise. All necessary material scattered in finance, computer science and statistics is combined into a project-based curriculum, which give students hands-on experience to solve real world problems in portfolio management. Students will work with market and historical data to develop and test trading and risk management strategies. Programming projects are required to complete this course.
This course covers features of the C++ programming language which are essential in quantitative/computational finance and its applications. We start by covering basic C++ programming features and then move to some more advance features. We utilize these features for financial engineering and quantitative finance applications primarily for pricing of financial derivatives and computational finance. Those applications include transform techniques, Monte Carlo simulation, calibration and parameter estimation techniques.
The course will discuss how filmmaking has been used as an instrument of power and imperial domination in the Soviet Union as well as on post-Soviet space since 1991. A body of selected films by Soviet and post-Soviet directors which exemplify the function of filmmaking as a tool of appropriation of the colonized, their cultural and political subordination by the Soviet center will be examined in terms of postcolonial theories. The course will focus both on Russian cinema and often overlooked work of Ukrainian, Georgian, Belarusian, Armenian, etc. national film schools and how they participated in the communist project of fostering a «new historic community of the Soviet people» as well as resisted it by generating, in hidden and, since 1991, overt and increasingly assertive ways their own counter-narratives. Close attention will be paid to the new Russian film as it re-invents itself within the post-Soviet imperial momentum projected on the former Soviet colonies.
This course will consider the history of religious objects from ca. 1200 to ca. 1600 mostly in northern Europe, examining both what kind of religious "charge" they carried and what sorts of ambivalence and/or rejection they met with in the period of the Protestant Reformation. Although we will spend approximately half the course time studying examples of what we would today call "art"-that is panel paintings, miniatures, and statues-we will place these in the context of other sorts of things (for example, relics of the saints, the Eucharist, and religious clothing) that also expressed the sacred through their materiality, as well as in the context of written sources.
Risk/return tradeoff, diversification and their role in the modern portfolio theory, their consequences for asset allocation, portfilio optimization. Capitol Asset Pricing Model, Modern Portfolio Theory, Factor Models, Equities Valuation, definition and treatment of futures, options and fixed income securities will be covered.
Topics in the Black Experience: African-American Novelists and the Question of Justice. This course asks, “What conceptions of Justice emerge from a selection of works by canonical African-American writers?” We open with an exploration of Justice in the works of the Greek dramatist, Aeschylus, the Hebrew Bible, and the contemporary Philosopher, Michael Sandel. We then turn to texts by Charles Chesnutt, Richard Wright, Zora Neale Hurston, Ralph Ellison, Ernest Gaines, and Toni Morrison to examine the way these writers engage, negotiate and critique the relationship between Justice and Race in the United States. Draft Text : Aeschylus; The Orestia The Bible: Ezekiel 18, Vs. 7-17; Matthew 25; Michael Sandel, Justice: What’s the Right Thing to Do?; Charles Chesnutt, The Marrow of Tradition; Zora Neale Hurston, Moses, Man of the Mountain; Richard Wright, Native Son; Ralph Ellison, Invisible Man; Ernest Gaines, A Lesson Before Dying; and Toni Morrison, Song of Solomon.
Topics in the Black Experience: Beyond Civil Rights: Martin Luther King and the Case for Radical Democracy. When Martin Luther King, Jr., proclaimed, “America, you must be born again,” he was speaking in much more than religious or even racial terms. Clearly he had in mind something long sought for but not yet achieved: a truly democratic America ruled by the demos, the people, rather than by the entrenched forces of capital. For King, a “reborn” America meant a radical reconfiguration of the priorities of market-driven capitalism, which he believed distorted the human personality and moral values; a serious consideration of key aspects of democratic socialism, which he felt was crucial for a truly just political economy; a more comprehensive economic safety net that would allow every American to live with dignity and without want; and a body politic and policy-making process based on uncompromising moral principles rather than political expediency. Using King’s writings, sermons, speeches, and historical accounts of his deeds and strategies, as well as key readings in political economy, religion, and basic political theory, we will explore the implications of King’s vision for today and the kinds of policies and social actions implicit in his vision that could make today’s America more politically, socially, and economically just – in other words, a more fair and democratic democracy for all Americans. Course Requirements Apart from the usual requirements of being prepared to fully participate in seminar discussions, each student must post a “commentary” on the Columbia CourseWorks website at least three times during the semester. The “commentary” should be at least 150 words in length. It may contain your thoughts about issues discussed in a previous class meeting, reflections on particular assigned readings, or a continuation of an exchange of opinions generated by another student’s commentary. Attendance, class participation, and three “commentaries” will comprise 25 percent of your final grade. Each student will be required to introduce one week’s topic and readings. The presentation can be as creative as you choose, but, in some way, it must: 1) summarize the main points of the week’s readings; 2) articulate three significant questions inspired by the readings; or 3) present an argument against some aspect of the readings with which you disagree. The presentation will count for 25 percent of your final
Topics in the Black Experience: The Political Thought of Frederick Douglass and Martin Delany. An intensive examination of the political thought of Frederick Douglass and Martin Delany, giving special emphasis to their pre-Civil War writings, speeches and correspondence.
The hedge fund industry has continued to grow after the financial crisis, and hedge funds are increasingly important as an investable asset class for institutional investors as well as wealthy individuals. This course will cover hedge funds from the point of view of portfolio managers and investors. We will analyze a number of hedge fund trading strategies, including fixed income arbitrage, global macro, and various equities strategies, with a strong focus on quantitative strategies. We distinguish hedge fund managers from other asset managers, and discuss issues such as fees and incentives, liquidity, performance evaluation, and risk management. We also discuss career development in the hedge fund context.
Prerequisites: student expected to be mathematically mature and familiar with probability and statistics, arbitrage pricing theory, and stochastic processes.
The course will introduce the notions of financial risk management, review the structure of the markets and the contracts traded, introduce risk measures such as VaR, PFE and EE, overview regulation of financial markets, and study a number of risk management failures. After successfully completing the course, the student will understand the basics of computing parametric VaR, historical VaR, Monte Carlo VaR, cedit exposures and CVA and the issues and computations associated with managing market risk and credit risk. The student will be familiar with the different categories of financial risk, current regulatory practices, and the events of financial crises, especially the most recent one.
Prerequisites: comfortable with algebra, calculus, probability, statistics, and stochastic calculus.
The course covers the fundamentals of fixed income portfolio management. Its goal is to help the students develop concepts and tools for valuation and hedging of fixed income securities within a fixed set of parameters. There will be an emphasis on understanding how an investment professional manages a portfolio given a budget and a set of limits.
The arrival of Spanish conquistadors in the Americas during the first half of the 16th century precipitated the collapse of the famously powerful and sophisticated Aztec Empire. Having been preceded by thousands of years of rich cultural development, this impressive pre-Columbian society was but one of many that thrived in ancient Mesoamerica, a region comprised of present-day Mexico and northern Central America. This course surveys the diversity of artistic and architectural traditions that arose in this area during the period before European contact. Emphasis will be placed on the way in which selected works operated in their original social contexts through exploration of the aesthetic strategies, materials and technologies employed in their creation, as well as the wide range of interdisciplinary methodologies art historians use to arrive at these conclusions. Some aspects of the post-conquest legacy of ancient Mesoamerican art will also be considered via its representation in modern art and popular culture.
The arrival of Spanish conquistadors in the Americas during the first half of the 16th century precipitated the collapse of the famously powerful and sophisticated Aztec Empire. Having been preceded by thousands of years of rich cultural development, this impressive pre-Columbian society was but one of many that thrived in ancient Mesoamerica, a region comprised of present-day Mexico and northern Central America. This course surveys the diversity of artistic and architectural traditions that arose in this area during the period before European contact. Emphasis will be placed on the way in which selected works operated in their original social contexts through exploration of the aesthetic strategies, materials and technologies employed in their creation, as well as the wide range of interdisciplinary methodologies art historians use to arrive at these conclusions. Some aspects of the post-conquest legacy of ancient Mesoamerican art will also be considered via its representation in modern art and popular culture.
Prerequisites: ELEN E3801.
Hands on experience with basic neural interface technologies. Recording EEG (electroencephalogram) signals using data acquisition systems (non-invasive, scalp recordings). Real-time analysis and monitoring of brain responses. Analysis of intention and perception of external visual and audio signals.
Prerequisites: one term of college-level calculus, and solid Earth system science or its equivalent.
An overview of approaches to estimating ages of sedimentary sequences and events in Earth history. Intended for students with good backgrounds in the physical sciences, who want to use geochronological techniques in their studies. The geochronology emphasis will be on emerging improvements in precision and accuracy of the Ar-Ar and U-Pb systems as well as alternative approaches to directly dating sedimentary strata in the first half. The thermochronology emphasis will be on exploring approaches to understanding uplift and erosion histories. The course will consist of 5 Saturday workshop style sessions (10 am to 4 pm) which will emphasize examples and problem solving. The course will include instructors and students from Columbia University, Stony Brook University and Rutgers University. One day each will be hosted at Lamont, Stony Brook and Rutgers, and the remaining sessions will take place in Schermerhorn 558 (Columbia U). Grading will be based on participation and completion of exercises, as well as a term project which may either be a take-home exam or a term paper.
Prerequisites: SECTION 001: reading knowledge of Italian. SECTION 002: none.
A year-long course in which the "Commedia" is read over two consecutive semesters; students can register for the first, the second, or both semesters. This course offers a thorough grounding in the entire text and an introduction to the complexities of its exegetical history. Attention not only to historical and theological issues, but also to Dante's mimesis, his construction of an authorial voice that generations of readers have perceived as "true," and the critical problems that emerge when the virtual reality created in language has religious and theological pretensions. SECTION 001: Lectures in English, text in Italian; examinations require the ability to translate Italian. SECTION 002: Lectures in English, examinations in English; students who can follow lectures with the help of translations but who cannot manage the Italian should register for this section.
Prerequisites: SECTION 001: reading knowledge of Italian. SECTION 002: none.
A year-long course in which the "Commedia" is read over two consecutive semesters; students can register for the first, the second, or both semesters. This course offers a thorough grounding in the entire text and an introduction to the complexities of its exegetical history. Attention not only to historical and theological issues, but also to Dante's mimesis, his construction of an authorial voice that generations of readers have perceived as "true," and the critical problems that emerge when the virtual reality created in language has religious and theological pretensions. SECTION 001: Lectures in English, text in Italian; examinations require the ability to translate Italian. SECTION 002: Lectures in English, examinations in English; students who can follow lectures with the help of translations but who cannot manage the Italian should register for this section.
Required of all incoming sociology doctoral students. Prepares students who have already completed an undergraduate major or its equivalent in some social science to evaluate and undertake both systematic descriptions and sound explanations of social structures and processes.
Prerequisite: open to public. Presentations by medical informatics faculty and invited international speakers in medical informatics, computer science, nursing informatics, library science, and related fields.
Prerequisites: APPH E3100.
Corequisites: APMA E3102 or equivalent.
Basic theory of quantum mechanics, well and barrier problems, the harmonic oscillator, angular momentum identical particles, quantum statistics, perturbation theory and applications to the quantum physics of atoms, molecules, and solids.
Prerequisites: BUSI K4001 Introduction to Finance (mandatory) and BUSI K4009 Financial Accounting (recommended) or Professor Approval
Students will be able to benchmark countries' performance and analyze business opportunities in the world economy. Additionally, students will learn to examine the relationships between trade policy, financial flows and development to understand factors contributing to financial crisis and the policies to remedy them. By the end of this semester students will be able to construct frameworks needed to formulate a global investment strategy.
Prerequisites: CHEM C1403, PHYS C1403, APMA E2101, or equivalent.
A first course on crystallography. Crystal symmetry, Bravais lattices, point groups, space groups. Diffraction and diffracted intensitites. Exposition of typical crystal structures in engineering materials, including metals, ceramics, and semiconductors. Crystalline anisotropy.
This course is offered through the School of Professional Studies.
This course will begin by clearly defining what sustainability management is and determining if a sustainable economy is actually feasible. Students will learn to connect environmental protection to organizational management by exploring the technical, financial, managerial, and political challenges of effectively managing a sustainable environment and economy. This course is taught in a case-based format and will seek to help students learn the basics of management, environmental policy and sustainability economics. Sustainability management matters because we only have one planet, and we must learn how to manage our organizations in a way that ensures that the health of our planet can be maintained and bettered. This course is designed to introduce students to the field of sustainability management. It is not an academic course that reviews the literature of the field and discusses how scholars thing about the management of organizations that are environmentally sound. It is a practical course organized around the core concepts of sustainability.
Prerequisites: APMA E2101 (or MATH V1210) and APMA E3101 or their equivalents, or instructor's permission.
An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Theorem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.