Introduction to mathematical formulations and computational techniques for the modeling and simulation of engineering and other kinds of systems, including electronic, mechanical, biological, biochemical, virtual, abstract and multi-domain dynamical systems. Applications from various engineering disciplines and the sciences. Matrix formulation of equations for linear problems. Formulation of equations for nonlinear problems & linearization. Numerical solution of linear algebraic equations. Gaussian elimination, computations with sparse & structured matrices. Floating point number representation & arithmetic. Numerical conditioning, ill-conditioned problems. Numerical solution of nonlinear algebraic equations. Fixed point iteration & Newton’s method in one dimension. Newton’s method for system of coupled nonlinear algebraic equations. Improving convergence of Newton’s method. Numerical solution of ordinary differential equations. Forward & backward Euler, trapezoidal rule. Multistep methods, accuracy & stability. Implicit vs explicit techniques, region of stability, stiff problems.

Review of electromagnetism; geometrical optics, analysis of optical systems; wave properties of light, Gaussian beams, beam optics; interaction of light with matter, spontaneous and stimulated emission, optical amplification, theory and applications of lasers, optical interactions in semiconductors, light emitting diodes and diode lasers; detectors, noise in detection systems; light propagation in anisotropic crystals, Pockels and Kerr effect, light modulators; nonlinear optics, second harmonic generation, phase matching, nonlinear optical materials.

Design, simulation, and optimization of integrated photonics structures, the notion of fabless silicon photonics, metal and dielectric waveguides, planar waveguide modes, coupled mode theory, integrated passive couplers and splitters, Mach-Zehnder Interferometers, ring and disk resonators, adiabatic couplers, Bragg gratings, grating and edge couplers, photonic crystal waveguides and structures, principles of integrated modulator and detector operation, fabrication-dependent design considerations, use of transfer matrix, eigenmode expansion, and finite difference time-domain simulation techniques throughout the semester, design oriented and simulation based assignments and term project.

A broad introduction to machine learning covering regression, classification, clustering, and dimensionality reduction methods; supervised and unsupervised models; linear and nonlinear models; parametric and nonparametric models; combinations of multiple models; comparisons of multiple models and model selection.

A series of lectures given by faculty or outside speakers.

Interns will spend four weeks in the Emergency Department. They will take an active role in the initial evaluation and treatment of patients, work alongside senior residents, attendings, and nursing staff, and are exposed to wide variety of patients, medical and surgical emergencies, and procedures. Interns will gain valuable experience, as they will be able to follow patients from presentation, through their workup, and onto their diagnosis and management. Interns will evaluate the patients’ level of urgency, learn and apply triage principles. Learn the basic interventions (such as urinary catheter, N/G gavage, taking blood sample, intubation etc). Interns will participate in daily teaching sessions, weekly departmental conferences, as well as lecture series designed specifically for them. (4 weeks; compulsory on-call nights and weekends)

Interns will spend four weeks in the Emergency Department. They will take an active role in the initial evaluation and treatment of patients, work alongside senior residents, attendings, and nursing staff, and are exposed to wide variety of patients, medical and surgical emergencies, and procedures. Interns will gain valuable experience, as they will be able to follow patients from presentation, through their workup, and onto their diagnosis and management. Interns will evaluate the patients’ level of urgency, learn and apply triage principles. Learn the basic interventions (such as urinary catheter, N/G gavage, taking blood sample, intubation etc). Interns will participate in daily teaching sessions, weekly departmental conferences, as well as lecture series designed specifically for them. (4 weeks; compulsory on-call nights and weekends)

Interns will spend four weeks in the Emergency Department. They will take an active role in the initial evaluation and treatment of patients, work alongside senior residents, attendings, and nursing staff, and are exposed to wide variety of patients, medical and surgical emergencies, and procedures. Interns will gain valuable experience, as they will be able to follow patients from presentation, through their workup, and onto their diagnosis and management. Interns will evaluate the patients’ level of urgency, learn and apply triage principles. Learn the basic interventions (such as urinary catheter, N/G gavage, taking blood sample, intubation etc). Interns will participate in daily teaching sessions, weekly departmental conferences, as well as lecture series designed specifically for them. (4 weeks; compulsory on-call nights and weekends)

The following objectives will be met through extensive reading, writing and discussion both in and out of class.Build a solid background in academic discourse, both written and spoken. Improve intensive and extensive critical reading skills. Foster critical and creative thinking. Build fundamental academic writing skills including summary, paraphrase, analysis, synthesis. Master cohesiveness as well as proper academic citation when incorporating the work of others.

Introduction to probability, sets, conditional probability, total probability theorem and Bayes rule; Independence, counting; Discrete random variables, functions of random variables, expectation, mean and variance; Continuous random variables, probability density functions, and cumulative distribution functions; Multiple random variables; Sums of random variables; Limit theorems; Covariance and correlation; Introduction to Stochastic Processes

Descriptive statistics; measures of association, correlation, simple regression; probability theory, conditional probability, independence; discrete and continuous random variables; probability distributions; functions of random variables; sampling distributions; estimation; inference (confidence intervals and hypothesis testing). Topics are supported by computer applications and specific examples from engineering applications.

Overview of corporate dynamics, including career paths, organizational structure and behavior in large organizations, corporate culture, decision-making process (organs, levels of authority, meetings, crisis and stress management), customer-focused organization and engineering ethics. There will be several case studies. There will also be high profile speakers from the corporate world to convey their real world experiences.

Entrepreneurship is creating something new and innovative with potential financial success in return. This course provides applied entrepreneurship know-how on the foundation, priorities, financing, finding the right employees, getting the word out, business development as well as entrepreneurial attributes such as commitment, determination, perseverance, goal oriented problem solving, team building. Teams of students will work on transforming an idea into a company which is ready for financing. Part of business success depends on understanding how relationships lead to other things. Hence, the course will also feature guest speakers from entrepreneurs and investors so that they share their successful as well as unsuccessful experiences which are often more valuable.

Effective assessment of data by applying statistics and computing techniques. Introduction of major data descriptors. Applying spreadsheet tools to facilitate data analysis and consequent decision making. Introduction to flowcharts and algorithms. Algorithmic reasoning for computer programming. Emerging information and computing technologies and the future of computing.

The fundamental concepts of logic such as statement, argument, premise, conclusion, inference, truth, falsity, validity, and invalidity; elements of propositional and predicate logic; conjunction, disjunction and negation of statements; truth tables for complex statements; logical equivalence; tautologies and contradictions; universal and existential quantifiers; truth trees; proof methods.

Exploring the moments of ethical questioning, the processes of ethical decision-making and their applications in parliaments, courthouses, hospitals, schools, business companies, and municipalities. A survey of various areas of applied ethics, such as Philosophy of Law, Bioethics, Business Ethics, Environmental Ethics, and Feminist Ethics to introduce the philosophical methods of questioning in the applications of ethical ideas and decisions into our social and institutional life.

Examination of concepts such as law, justice and fairness; relationship between law, religion, morals and ethics; natural law and the law of nature; theories of ethical reasoning: utiliarianism, egoism, relativism, deontology; justice as a theory of ethical reasoning, normative ethics and Greek philosophy; modern ethics and postmodern ethics, ethics and science; understanding the legal concepts of rights, duties, personality and their ethical dimensions.

Understanding how we experience freedom, justice, equality, rights, good&evil, judgments, and discrimination in our everyday life from the corner of a grocery store to a doctor's office, to a court-house or to a class at the university. Analyzing the various ways of ethical reasoning already happening in our everyday interactions in order to enrich and sometimes to challenge the philosophical theories of ethics. Analyzing the already existing theories of ethical reasoning in the history of philosophy to challenge our at times non-reasoning habits. Connections between theory and practice in everyday life through very open discussion of everyday examples in connection to our readings of ethical reasoning from Plato, Aristotle, Mill, Kant, Marx, Nietzsche, Sartre, Arendt, De Beauvior, etc.

Understanding how we experience freedom, justice, equality, rights, good&evil, judgments, and discrimination in our everyday life from the corner of a grocery store to a doctor's office, to a court-house or to a class at the university. Analyzing the various ways of ethical reasoning already happening in our everyday interactions in order to enrich and sometimes to challenge the philosophical theories of ethics. Analyzing the already existing theories of ethical reasoning in the history of philosophy to challenge our at times non-reasoning habits. Connections between theory and practice in everyday life through very open discussion of everyday examples in connection to our readings of ethical reasoning from Plato, Aristotle, Mill, Kant, Marx, Nietzsche, Sartre, Arendt, De Beauvior, etc.

Understanding how we experience freedom, justice, equality, rights, good&evil, judgments, and discrimination in our everyday life from the corner of a grocery store to a doctor's office, to a court-house or to a class at the university. Analyzing the various ways of ethical reasoning already happening in our everyday interactions in order to enrich and sometimes to challenge the philosophical theories of ethics. Analyzing the already existing theories of ethical reasoning in the history of philosophy to challenge our at times non-reasoning habits. Connections between theory and practice in everyday life through very open discussion of everyday examples in connection to our readings of ethical reasoning from Plato, Aristotle, Mill, Kant, Marx, Nietzsche, Sartre, Arendt, De Beauvior, etc.

Understanding how we experience freedom, justice, equality, rights, good&evil, judgments, and discrimination in our everyday life from the corner of a grocery store to a doctor's office, to a court-house or to a class at the university. Analyzing the various ways of ethical reasoning already happening in our everyday interactions in order to enrich and sometimes to challenge the philosophical theories of ethics. Analyzing the already existing theories of ethical reasoning in the history of philosophy to challenge our at times non-reasoning habits. Connections between theory and practice in everyday life through very open discussion of everyday examples in connection to our readings of ethical reasoning from Plato, Aristotle, Mill, Kant, Marx, Nietzsche, Sartre, Arendt, De Beauvior, etc.

Understanding how we experience freedom, justice, equality, rights, good&evil, judgments, and discrimination in our everyday life from the corner of a grocery store to a doctor's office, to a court-house or to a class at the university. Analyzing the various ways of ethical reasoning already happening in our everyday interactions in order to enrich and sometimes to challenge the philosophical theories of ethics. Analyzing the already existing theories of ethical reasoning in the history of philosophy to challenge our at times non-reasoning habits. Connections between theory and practice in everyday life through very open discussion of everyday examples in connection to our readings of ethical reasoning from Plato, Aristotle, Mill, Kant, Marx, Nietzsche, Sartre, Arendt, De Beauvior, etc.

Investigation of sexism, discrimination and gender equality from an interdisciplinary perspective to explore various aspects of "women's human rights" from historical, legal, philosophical as well as sociological perspectives. Examination of concepts such as sex, gender, oppression, equality, equity, justice, intersectionality, cultural relativism and rights.