Opportunity for group study by graduate students on current topics related to management not otherwise included in curriculum.

Explores a variety of models and optimization techniques for the solution of airline schedule planning problems. Schedule design, fleet assignment, aircraft maintenance routing, crew scheduling, robust planning, passenger mix, integrated schedule planning, and other topics. Solution techniques involving decomposition, e.g., Lagrangian relaxation, column generation and partitioning, and state-of-the-art applications of these techniques to airline problems. Explores a variety of models and optimization techniques for the solution of airline schedule planning and operations problems. Schedule design, fleet assignment, aircraft maintenance routing, crew scheduling, passenger mix, and other topics are covered. Recent models and algorithms addressing issues of model integration, robustness, and operations recovery are introduced. Modeling and solution techniques designed specifically for large-scale problems, and state-of-the-art applications of these techniques to airline problems are detailed.

Task Description: The mathematics of the task involves understanding the meaning of base ten and using that understanding to compare the magnitude of numbers. The number line is used as a tool to help articulate understanding of base ten. The mathematics of the unit involves understanding the meaning of base ten and using that understanding to solve number and real life problems. The number line is used as a tool to help articulate understanding of base ten and to solve problems using addition and subtraction of numbers less than one hundred. The focus is on the big idea of going around groups of ten. Strategies will involve applying number properties including distributive, associative, and commutative.

Task Description: The tasks in the unit access the full range of Depth of Knowledge, including Recalling and Recognizing, Using Procedures, Explaining, Concluding and Making Connections, Extensions and Justifying. This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The task is embedded in a 4-5 week unit on interpreting and linking representations, modeling situations, solving non-routine problems and justifying arguments of multiplication and division.

Task Description: This task allows students to demonstrate their understanding of place value. Throughout the task they are required to use operations to solve problems, understand and apply properties of numbers, and compose and decompose numbers in flexible ways. This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The task is embedded in a 2-3 week unit on Number and Operations in Base 10. The mathematics of the unit involves understanding the meaning of base ten and using that understanding to solve number and real life problems. Students will use a variety of tools to help articulate understanding of base ten and to solve problems using addition and subtraction of numbers less than 10, less than 20 and on to less than 100.

Introduces students to the basic tools in using data to make informed management decisions. Covers introductory probability, decision analysis, basic statistics, regression, simulation, and linear and nonlinear optimization. Computer spreadsheet exercises and examples drawn from marketing, finance, operations management, and other management functions. Restricted to Sloan Fellows.

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

This course covers the fundamentals of operations management as they apply to both production and service-based operations. Upon successful completion of this course, students will be able to: explain the role of operations and its relationship with the other functional areas of a business organization; analyze operation processes from a variety of perspectives such as productivity, workflow, and quality; apply the Transformation Model as a construct for understanding the relationship between the inputs, processes, and outputs of an organization; explain techniques and methodologies for managing an organization's productive resources; apply basic design principles to determine appropriate facility location and layout; explain quality management and apply quality management principles to continuous improvement in operations management; discuss the goal of Supply Chain Management and its application in a variety of organizational settings; identify the critical factors involved in inventory control systems; identify the operational processes in the student's own organization. (Business Administration 300)

Introduces students to problems and analysis related to the design, planning, control, and improvement of manufacturing and service operations. Includes process analysis, project analysis, materials management, production planning and scheduling, quality management, supply chain management, reengineering, design for manufacturing, capacity and facilities planning, and operations strategy. This course will introduce concepts and techniques for design, planning and control of manufacturing and service operations. The course provides basic definitions of operations management terms, tools and techniques for analyzing operations, and strategic context for making operational decisions. We present the material in five modules: Operations Analysis Coordination and Planning Quality Management Project Management Logistics and Supply Chain Managemen.

Provides unifying framework for analyzing strategic issues in operations and manufacturing companies. Analyzes relationships between manufacturing companies and their suppliers, customers, and competitors. Also covers decisions in technology, facilities, vertical integration, human resources and other strategic areas. Explores means of competition such as cost, quality, and innovativeness as well as emerging topics such as outsourcing, globalization, and the effects of the internet. This course will address operations strategy by building on the concepts of: Reengineering and process design developed by Dr. Michael Hammer. Manufacturing strategy as developed in the literature, primarily by people at HBS. Supply chain design and 3-D concurrent engineering literature as developed in Charles Fine's book, Clockspeed: Winning Industry Control in the Age of Temporary Advantage. Perseus Books, 1999. The concepts there emphasize the necessity of integrating product strategy, manufacturing strategy, and supply chain strategy. As a result, each of these will be touched upon in the course.

This course introduces dynamic processes and the engineering tasks of process operations and control. Subject covers modeling the static and dynamic behavior of processes; control strategies; design of feedback, feedforward, and other control structures; model-based control; and applications to process equipment.

Provides an integrative forum for operations and manufacturing students and is the focus for projects in leadership, service, and improvement. Covers a set of integrative manufacturing topics or issues such as leadership and related topics, and includes presentations by guest speakers such as senior level managers of manufacturing companies. Subject is largely managed by students. Primarily for LFM Fellows and Operations and Manufacturing Track students.

This course is designed to introduce the student to the rigorous examination of the real number system and the foundations of calculus. Analysis lies at the heart of the trinity of higher mathematics algebra, analysis, and topology because it is where the other two fields meet. Upon successful completion of this course, the student will be able to: Use set notation and quantifiers correctly in mathematical statements and proofs; Use proof by induction or contradiction when appropriate; Define the rational numbers, the natural numbers, and the real numbers, and understand their relationship to one another; Define the well-ordering principle the completeness/supremum property of the real line, and the Archimedean property; Prove the existence of irrational numbers; Define supremum and infimum; Correctly and fluently manipulate expressions with absolute value and state the triangle inequality; Define and identify injective, surjective, and bijective mappings; Name the various cardinalities of sets and identify the cardinality of a given set; Define Euclidean space and vector space and show that Euclidean space is a vector space; Define the complex numbers and manipulate them algebraically; Write equations for lines and planes in Euclidean space; Define a normed linear space, a norm, and an inner product; Define metric spaces, open sets; define open, closed, and bounded sets; define cluster points; define density; Define convergence of sequences and prove or disprove the convergence of given sequences; Prove and use properties of limits; Prove standard results about closures, intersections, and unions of open and closed sets; Define compactness using both open covers and sequences; State and prove the Heine-Borel Theorem; State the Bolzano-Weierstrass Theorem; State and use the Cantor Finite Intersection Property; Define Cauchy sequence and prove that specific sequences are Cauchy; Define completeness and prove that Euclidean space with the standard metric is complete; Show that convergent sequences are Cauchy; Define limit superior and limit inferior; Define convergence of series using the Cauchy criterion and use the comparison, ratio, and root tests to show convergence of series; Define continuity and state, prove, and use properties of limits of continuous functions, including the fact that continuous functions attain extreme values on compact sets; Define divergence of functions to infinity and use properties of infinite limits; State and prove the intermediate value property; Define uniform continuity and show that given functions are or are not uniformly continuous; Give standard examples of discontinuous functions, such as the Dirichlet function; Define connectedness and identify connected and disconnected sets Construct the Cantor ternary set and state its properties; Distinguish between pointwise and uniform convergence; Prove that if a sequence of continuous functions converges uniformly, their limit is also continuous; Define derivatives of real- and extended-real-valued functions; Compute derivatives using the limit definition and prove basic properties of derivatives; State the Mean Value Theorem and use it in proofs; Construct the Riemann Integral and state its properties; State the Fundamental Theorem of Calculus and use it in proofs; Define pointwise and uniform convergence of series of functions; Use the Weierstrass M-Test to check for uniform convergence of series; Construct Taylor Series and state Taylor's Theorem; Identify necessary and sufficient conditions for term-by-term differentiation of power series. (Mathematics 241)

This module has two goals: to define the elementary row operations for all matrices and to define the row reduced form.

This module defines subspaces, span, linear independence, bases and dimension.

Why do so many business strategies fail? Full-term introduction to system dynamics modeling applied to corporate strategy. Uses simulation models, management "flight simulators," and case studies to develop conceptual and modeling skills for the design and management of high-performance organizations in a dynamic world. Case studies of successful applications of system dynamics in growth strategy, management of technology, operations, project management, and others. Principles for effective use of modeling in the real world. Prerequisite for further work in the field.

Teaches basic principles of system safety, including accident analysis, hazard analysis, design for safety, human factors and safety, controlling safety during operations, and management of safety critical projects and systems. While you will learn what is currently done today, you will also learn new techniques that are proving to be more powerful and effective than the traditional safety engineering approaches.