The study of abstract algebra grew out of an interest in knowing how attributes of sets of mathematical objects behave when one or more properties we associate with real numbers are restricted. The student will begin this course by reviewing basic set theory, integers, and functions in order to understand how algebraic operations arise and are used. The student then will proceed to the heart of the course, which is an exploration of the fundamentals of groups, rings, and fields. Upon successful completion of this course, the student will be able to: Describe and generate groups, rings, and fields; Relate abstract algebraic constructs to more familiar number sets and operations and see from where the constructs derive; Identify examples of specific constructs; Identify and differentiate between different structures and understand how changing properties give rise to new structures; Explain the theory behind relations and functions and identify domains and images of functions, based on the structures given; Explain how functions may relate seemingly dissimilar structures to each other and how knowing properties of one structure allows us to know the same properties in the related structure, if certain functions exist between them. (Mathematics 231)

This course is a continuation of Abstract Algebra I: the student will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms. The student will also take a look at ring factorization, general lattices, and vector spaces. Later this course presents more advanced topics, such as Galois theory - one of the most important theories in algebra, but one that requires a thorough understanding of much of the content we will study beforehand. Upon successful completion of this course, students will be able to: Compute the sizes of finite groups when certain properties are known about those groups; Identify and manipulate solvable and nilpotent groups; Determine whether a polynomial ring is divisible or not and divide the polynomial (if it is divisible); Determine the basis of a vector space, change bases, and manipulate linear transformations; Define and use the Fundamental Theorem of Invertible Matrices; Use Galois theory to find general solutions of a polynomial over a field. (Mathematics 232)

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

This course will serve as both an introduction to contemporary political philosophy and a way to explore issues of pluralism and multiculturalism. Racial and ethnic groups, national minorities, aboriginals, women, sexual minorities, and other groups have organized to highlight injustice and demand recognition and accommodation on the basis of their differences. In practice, democratic states have granted a variety of group-differentiated rights, such as exemptions from generally applicable laws, special representation rights, language rights, or limited self-government rights, to different types of groups. This course will examine how different theories of citizenship address the challenges raised by different forms of pluralism. We will focus in particular on the following questions: - Does justice require granting group-differentiated rights? - Do group-differentiated rights conflict with liberal and democratic commitments to equality and justice for all citizens? - What, if anything, can hold a multi-religious, multicultural society together? Why should the citizens of such a society want to hold together?

Develops basic concepts for understanding individual, group, and organizational behavior through critical analysis of important works in the field. Areas covered: cognitive psychology, behavioral decision-making, group process and performance, and organizational culture and adaptation. Emphasizes use of behavioral science concepts for stimulating new and useful behavioral science research. Primarily for doctoral candidates in the Sloan School of Management.

This course will introduce the student to organizational psychology, or the application of psychological research and theory to human interaction in the workplace. Industrial/Organization Psychology takes research findings and theories that were originally used to explain general human behavior and applies them to human behavior in the workplace. The course begins by taking a look at how the student evaluates jobs and employees before exploring how the student evaluates and motivate employees, noting what encourages versus discourages employee job commitment. The student will then study leadership and group influences in the workplace, including working conditions, humans factors, performance management, and work teams. Leadership interaction and the leadership theories are also covered. Upon successful completion of this course, the student will be able to: perform a thorough and systematic competency model (job analysis); develop and validate a job specific selection design; design, develop, and evaluate a job specific training program; define a performance appraisal process and form; identify research methods for conducting experiments; explain organizational recruitment, selection, and retainment; evaluate the work performance of employees; describe the motivating factors of employees; identify teamwork problems and issues; compare and contrast models of motivation and leadership; explain organizational issues including: teams, attitudes, and occupational health; define work-life balance and its impact on organizations and employees. (Psychology 304)

Core subject for students majoring in management science. Surveys individual and social psychology and organization theory interpreted in the context of the managerial environment. Laboratory involves projects of an applied nature in behavioral science. Emphasizes use of behavioral science research methods to test hypotheses concerning organizational behavior. Instruction and practice in communication include report writing, team decision-making, and oral and visual presentation.

This module provides sample problems which develop concepts related to groupings and combinations of groups, in preparation for later questions about probability.

In this course we learn social psychology both theoretically and practically. We examine interpersonal and group dynamics, and explore how the thoughts, feelings and actions of individuals are influenced by (and influence) the beliefs, values and practices of large and small groups. We experience the social interactions and personal reactions in the real social situations of the class.

" Our conjoint participation in the 9.70 learning system places us in a consensually-shared social situation. (All of the foregoing words are important. Do you understand their meaning in this context?) We will endeavor to organize ourselves into a community of discourse that approximates (albeit in an altogether partial way) a meaningful, real-world research enterprise: Like all scientific communities, we will work with limited resources. Unlike "real" scientific communities, ours will operate under the constraint of predetermined project duration and contractually agreed-upon limits in the amount of time and effort to be contributed to it by the individual participants. Toward this end, we randomly divide the membership of the class – at the outset — into subsystems – study groups — intended to operate interdependently with others while each remains together as a stable subsystem for the duration of the term, unless or until the participants determine otherwise. This approach creates a "level playing field." The coursework will provide everyone with first hand opportunities to experience and to exchange ideas about what it means to scientifically investigate (experimentally/experientially) the subject before us on individual, small group and large group levels."

" Humans are social animals; social demands, both cooperative and competitive, structure our development, our brain and our mind. This course covers social development, social behaviour, social cognition and social neuroscience, in both human and non-human social animals. Topics include altruism, empathy, communication, theory of mind, aggression, power, groups, mating, and morality. Methods include evolutionary biology, neuroscience, cognitive science, social psychology and anthropology."