Undergraduate

15-2 Business Analytics Course: Roadmap

This roadmap should be viewed as one plan for structuring your schedule. There is a lot of flexibility in when you take Course 15 classes. Even if you think it is too late to declare Course 15, email: ugeducation@sloan.mit.edu or come see us in E52-150 (Suite 133).

—First Year Fall

	Course Title	Term
18.01	Calculus	Fall	0 Cr.
	18.01 Calculus Prereq: None Units: 5-0-7 Credit cannot also be received for 18.01A, CC.1801, ES.1801, ES.181A Differentiation and integration of functions of one variable, with applications. Informal treatment of limits and continuity. Differentiation: definition, rules, application to graphing, rates, approximations, and extremum problems. Indefinite integration; separable first-order differential equations. Definite integral; fundamental theorem of calculus. Applications of integration to geometry and science. Elementary functions. Techniques of integration. Polar coordinates. L'Hopital's rule. Improper integrals. Infinite series: geometric, p-harmonic, simple comparison tests, power series for some elementary functions.
Elective	Elective	Fall	0 Cr.
	Elective⁵ To be recommended for the degree of Bachelor of Science, students must have attended MIT not less than three regular academic terms, which ordinarily must include the term of graduation. In addition, students must have satisfactorily completed a program of study approved in accordance with the faculty regulations, which includes the General Institute Requirements (GIRs) and the departmental program of the Course in which the degree is to be awarded. Departures from the departmental programs are allowed with departmental permission. See the Schools section, as well as individual degree charts, for information about specific programs. Substitutions for GIR subjects are allowed only by petition. Petitions pertaining to the Communication Requirement must be directed to the Subcommittee on the Communication Requirement (SOCR), and petitions for any substitutions in the Humanities, Arts, and Social Sciences (HASS) Requirement must be directed to the Subcommittee on the HASS Requirement (SHR). The Committee on Curricula (CoC) considers petitions for substitutions in the Institute Laboratory Requirement and the Restricted Electives in Science and Technology (REST) Requirement. View Electives. Notes ⁵48-63 additional units will be needed to accrue the 180 units beyond GIRs.
HASS	Humanities, Arts, and Social Sciences	Fall	0 Cr.
	As part of MIT’s General Institute Requirements, all undergraduates must complete the HASS Requirement. It consists of eight subjects of at least nine units each in the humanities, arts, and social sciences. Learning in the humanities, arts, and social sciences (HASS) is an indispensable part of your undergraduate education. The HASS Requirement provides you with opportunities to deepen your knowledge in a variety of cultural and disciplinary areas, practice critical thinking, and develop vital skills while trying something new. There are three components to the HASS Requirement: Distribution, Concentration, and HASS Electives. To stay on pace, we recommend that you take one HASS subject each semester during your four years at MIT. Two of the subjects you complete to fulfill the HASS Requirement may also count toward the Communication Requirement if they are also designated as CI‑H subjects. Plan to take at least one HASS subject each semester. One of your two HASS subjects should be designated as Communication Intensive (CI‑H or CI‑HW). Consider a HASS Exploration Subject (HEX).
Science GIR	Science Requirement	Fall	0 Cr.
	MIT expects its graduates to have an understanding and appreciation of the basic concepts and methods of the physical and biological sciences. These concepts and methods are needed in most degree programs at the Institute. More important, they are an essential part of the background that MIT graduates bring to their roles as professionals and as broadly educated citizens in a world strongly influenced by science and technology. Students begin with six science core subjects in mathematics, physics, biology, and chemistry, and then add the Laboratory and Restricted Electives in Science and Technology (REST) Requirements. These requirements introduce basic elements of the scientific method: experimental foundations and techniques, mathematical analysis, and conceptual models for experimental facts. Important experimental as well as conceptual aspects are introduced by the chemistry and biology requirements and by the Laboratory Requirement. Mathematical methods common to much of science and technology are explored in the mathematics requirement. Basic concepts that underlie many physical phenomena are defined and elucidated in the physics and REST requirements. In addition to a rigorous introduction to the sciences, these requirements are intended to stimulate and challenge each student to review critically their knowledge, and to explore alternative conceptual and mathematical formulations that may provide better explanations of natural phenomena or may lead to better applications of technology. The development of critical and constructive approaches to both theory and practice in science, engineering, and other professions is a central objective of the Institute's educational programs. More information on Science General Institute Requirements.

—First Year Spring

	Course Title	Term
18.02	Calculus	Spring	0 Cr.
	18.02 Calculus Prereq: Calculus I (GIR) Units: 5-0-7 Credit cannot also be received for 18.022, 18.02A, CC.1802, ES.1802, ES.182A Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.
Elective	Elective	Spring	0 Cr.
	Elective⁵ To be recommended for the degree of Bachelor of Science, students must have attended MIT not less than three regular academic terms, which ordinarily must include the term of graduation. In addition, students must have satisfactorily completed a program of study approved in accordance with the faculty regulations, which includes the General Institute Requirements (GIRs) and the departmental program of the Course in which the degree is to be awarded. Departures from the departmental programs are allowed with departmental permission. See the Schools section, as well as individual degree charts, for information about specific programs. Substitutions for GIR subjects are allowed only by petition. Petitions pertaining to the Communication Requirement must be directed to the Subcommittee on the Communication Requirement (SOCR), and petitions for any substitutions in the Humanities, Arts, and Social Sciences (HASS) Requirement must be directed to the Subcommittee on the HASS Requirement (SHR). The Committee on Curricula (CoC) considers petitions for substitutions in the Institute Laboratory Requirement and the Restricted Electives in Science and Technology (REST) Requirement. View Electives. Notes ⁵48-63 additional units will be needed to accrue the 180 units beyond GIRs.
HASS	Humanities, Arts, and Social Sciences	Spring	0 Cr.
	As part of MIT’s General Institute Requirements, all undergraduates must complete the HASS Requirement. It consists of eight subjects of at least nine units each in the humanities, arts, and social sciences. Learning in the humanities, arts, and social sciences (HASS) is an indispensable part of your undergraduate education. The HASS Requirement provides you with opportunities to deepen your knowledge in a variety of cultural and disciplinary areas, practice critical thinking, and develop vital skills while trying something new. There are three components to the HASS Requirement: Distribution, Concentration, and HASS Electives. To stay on pace, we recommend that you take one HASS subject each semester during your four years at MIT. Two of the subjects you complete to fulfill the HASS Requirement may also count toward the Communication Requirement if they are also designated as CI‑H subjects. Plan to take at least one HASS subject each semester. One of your two HASS subjects should be designated as Communication Intensive (CI‑H or CI‑HW). Consider a HASS Exploration Subject (HEX).
Science GIR	Science Requirement	Spring	0 Cr.
	MIT expects its graduates to have an understanding and appreciation of the basic concepts and methods of the physical and biological sciences. These concepts and methods are needed in most degree programs at the Institute. More important, they are an essential part of the background that MIT graduates bring to their roles as professionals and as broadly educated citizens in a world strongly influenced by science and technology. Students begin with six science core subjects in mathematics, physics, biology, and chemistry, and then add the Laboratory and Restricted Electives in Science and Technology (REST) Requirements. These requirements introduce basic elements of the scientific method: experimental foundations and techniques, mathematical analysis, and conceptual models for experimental facts. Important experimental as well as conceptual aspects are introduced by the chemistry and biology requirements and by the Laboratory Requirement. Mathematical methods common to much of science and technology are explored in the mathematics requirement. Basic concepts that underlie many physical phenomena are defined and elucidated in the physics and REST requirements. In addition to a rigorous introduction to the sciences, these requirements are intended to stimulate and challenge each student to review critically their knowledge, and to explore alternative conceptual and mathematical formulations that may provide better explanations of natural phenomena or may lead to better applications of technology. The development of critical and constructive approaches to both theory and practice in science, engineering, and other professions is a central objective of the Institute's educational programs. More information on Science General Institute Requirements.

—Sophomore Year Fall

	Course Title	Term
15.069 or 18.05 or 14.30 [REST] Choose one of these courses	Probability and Statistics	Fall	0 Cr.
Choose one of these courses	15.069 Applied Probability and Statistics [REST]² Prereq: Calculus I (GIR) Applied Probability and Statistics 4-0-8 units. REST² Presents probability from the perspective of applied mathematics, with strong emphasis on an intuitive overview of key theorems and continuing demonstrations of their usefulness. Covers the laws of probability and numerous important discrete and continuous random variables, both individually and in combination. Introduces simulation. Offers an introduction to statistics that emphasizes its probabilistic foundations and the fact that statistical reasoning is applied common sense. Covers hypothesis testing, statistical sampling, and various forms of regression analysis. Draws applications from economics, finance, engineering, marketing, public policy, operations management, and operations research. 18.05 Introduction to Probability and Statistics [REST]² Prereq: Calculus II (GIR) 4-0-8 units. REST² Elementary introduction with applications. Basic probability models. Combinatorics. Random variables. Discrete and continuous probability distributions. Statistical estimation and testing. Confidence intervals. Introduction to linear regression. 14.30 Introduction to Statistical Methods in Economics [REST]² Prereq: Calculus II (GIR) 4-0-8 units. REST² Self-contained introduction to probability and statistics with applications in economics and the social sciences. Covers elements of probability theory, statistical estimation and inference, regression analysis, causal inference, and program evaluation. Couples methods with applications and with assignments involving data analysis. Uses basic calculus and matrix algebra. Students taking graduate version complete additional assignments. May not count toward HASS requirement. Notes: ²Contact the Sloan Undergrad Office for alternative options for the Probability & Statistics requirement. Please note, the course or courses MUST cover both Probability and Statistics in depth similar to 15.069. Course 15/6 and 15/14 double majors can petition Course 6/Course 14 to count 15.069 as a substitute for 14.30 or 18.05. Subjects fulfill both Course 15-2 and GIR requirements are in bold.
15.312 [CI-M]	Organizational Processes for Business Analytics	Fall	0 Cr.
	5.312 Organizational Processes for Business Analytics [CI-M]² Prereq: None 3-0-9 units Develops appreciation for organizational dynamics and competence in navigating social networks, working in a team, demystifying rewards and incentives, leveraging the crowd, understanding change initiatives, and making sound decisions. Provides instruction and practice in written and oral communication through presentations, and interpersonal and group exercises. Subjects fulfills both Course 15-1 and GIR requirements. Notes: ²Contact the Sloan Undergrad Office for alternative options for the Probability & Statistics requirement. Please note, the course or courses MUST cover both Probability and Statistics in depth similar to 15.069. Course 15/6 and 15/14 double majors can petition Course 6/Course 14 to count 15.069 as a substitute for 14.30 or 18.05. Subjects fulfill both Course 15-2 and GIR requirements are in bold.
6.100A(6.0001) or 6.100L(6.000L) Choose one of these courses	Introduction to Computer Science Programming	Fall	0 Cr.
Choose one of these courses	6.100A (3.0001) Introduction to Computer Science Programming in Python Prereq: None Units: 2-0-4 Credit cannot also be received for 6.100L Introduction to computer science and programming for students with little or no programming experience. Students develop skills to program and use computational techniques to solve problems. Topics include the notion of computation, Python, simple algorithms and data structures, testing and debugging, and algorithmic complexity. Combination of 6.100A and 6.100B or 16.C20 counts as REST subject. Final given in the seventh week of the term. 6.100L (6.000L) Introduction to Computer Science and Programming Prereq: None Units: 2-0-4 Credit cannot also be received for 6.100A Introduction to computer science and programming for students with no programming experience. Presents content taught in 6.100A over an entire semester. Students develop skills to program and use computational techniques to solve problems. Topics include the notion of computation, Python, simple algorithms and data structures, testing and debugging, and algorithmic complexity. Lectures are viewed outside of class; in-class time is dedicated to problem-solving and discussion. Combination of 6.100L and 6.100B or 16.C20 counts as REST subject. Notes: Subjects fulfill both Course 15-2 and GIR requirements are in bold.
HASS	Humanities, Arts, and Social Sciences	Fall	0 Cr.
	As part of MIT’s General Institute Requirements, all undergraduates must complete the HASS Requirement. It consists of eight subjects of at least nine units each in the humanities, arts, and social sciences. Learning in the humanities, arts, and social sciences (HASS) is an indispensable part of your undergraduate education. The HASS Requirement provides you with opportunities to deepen your knowledge in a variety of cultural and disciplinary areas, practice critical thinking, and develop vital skills while trying something new. There are three components to the HASS Requirement: Distribution, Concentration, and HASS Electives. To stay on pace, we recommend that you take one HASS subject each semester during your four years at MIT. Two of the subjects you complete to fulfill the HASS Requirement may also count toward the Communication Requirement if they are also designated as CI‑H subjects. Plan to take at least one HASS subject each semester. One of your two HASS subjects should be designated as Communication Intensive (CI‑H or CI‑HW). Consider a HASS Exploration Subject (HEX).

—Sophomore Year Spring

	Course Title	Term
15.053 [REST]	Optimization Methods in Business Analytics [REST]	Spring	0 Cr.
	15.053 Optimization Methods in Business Analytics [REST] Prereq: 1.00, 1.000, 6.100A, or permission of instructor Units: 4-0-8 Introduces optimization methods with a focus on modeling, solution techniques, and analysis. Covers linear programming, network optimization, integer programming, nonlinear programming, and heuristics. Applications to logistics, manufacturing, statistics, machine learning, transportation, game theory, marketing, project management, and finance. Includes a project in which student teams select and solve an optimization problem (possibly a large-scale problem) of practical interest. Notes: Subjects that fulfill both Course 15-3 and GIR requirements are in bold.
15.276 [CI-M]	Communicating with Data	Spring	0 Cr.
	15.276 Communicating with Data [CI-M] Prereq: None Units: 3-0-9 Equips students with the strategies, tactics, and tools to use quantitative information to inform and persuade others. Emphasizes effective communication skills as the foundation of successful careers. Develops the skills to communicate quantitative information in a business context to drive people and organizations toward better decisions. Focuses heavily on the cycle of practicing, reflecting, and revising. Students receive extensive, personalized feedback from teaching team and classmates. Limited to 25; priority to 15-2 and 6-14 majors. Notes: Subjects that fulfill both Course 15-3 and GIR requirements are in bold.
6.100A (6.0001) or 6.100L (6.000L) Choose one of these courses	Introduction to Computer Science Programming	Spring	0 Cr.
Choose one of these courses	6.100A Introduction to Computer Science Programming in Python [REST]² Prereq: None Units: 2-0-4 Credit cannot also be received for 6.100L Introduction to computer science and programming for students with little or no programming experience. Students develop skills to program and use computational techniques to solve problems. Topics include the notion of computation, Python, simple algorithms and data structures, testing and debugging, and algorithmic complexity. Combination of 6.100A and 6.100B or 16.C20 counts as REST subject. Final given in the seventh week of the term. 6.100L Introduction to Computer Science and Programming [REST]² Prereq: None Units: 2-0-4 Credit cannot also be received for 6.100A Introduction to computer science and programming for students with no programming experience. Presents content taught in 6.100A over an entire semester. Students develop skills to program and use computational techniques to solve problems. Topics include the notion of computation, Python, simple algorithms and data structures, testing and debugging, and algorithmic complexity. Lectures are viewed outside of class; in-class time is dedicated to problem-solving and discussion. Combination of 6.100L and 6.100B or 16.C20 counts as REST subject Notes; ²Contact the Sloan Undergrad Office for alternative options for the Probability & Statistics requirement. Please note, the course or courses MUST cover both Probability and Statistics in depth similar to 15.069. Course 15/6 and 15/14 double majors can petition Course 6/Course 14 to count 15.069 as a substitute for 14.30 or 18.05. Subjects that fulfill both Course 15-2 and GIR requirements are in bold.
HASS	Humanities, Arts, and Social Sciences	Spring	0 Cr.
	As part of MIT’s General Institute Requirements, all undergraduates must complete the HASS Requirement. It consists of eight subjects of at least nine units each in the humanities, arts, and social sciences. Learning in the humanities, arts, and social sciences (HASS) is an indispensable part of your undergraduate education. The HASS Requirement provides you with opportunities to deepen your knowledge in a variety of cultural and disciplinary areas, practice critical thinking, and develop vital skills while trying something new. There are three components to the HASS Requirement: Distribution, Concentration, and HASS Electives. To stay on pace, we recommend that you take one HASS subject each semester during your four years at MIT. Two of the subjects you complete to fulfill the HASS Requirement may also count toward the Communication Requirement if they are also designated as CI‑H subjects. Plan to take at least one HASS subject each semester. One of your two HASS subjects should be designated as Communication Intensive (CI‑H or CI‑HW). Consider a HASS Exploration Subject (HEX).

—Junior Year Fall

	Course Title	Term
15.069 or 18.05 or 14.30 [REST] Choose one of these courses	Probability and Statistics	Fall	0 Cr.
Choose one of these courses	15.069 Applied Probability and Statistics [REST²] Prereq: Calculus I (GIR) Applied Probability and Statistics 4-0-8 units. Presents probability from the perspective of applied mathematics, with strong emphasis on an intuitive overview of key theorems and continuing demonstrations of their usefulness. Covers the laws of probability and numerous important discrete and continuous random variables, both individually and in combination. Introduces simulation. Offers an introduction to statistics that emphasizes its probabilistic foundations and the fact that statistical reasoning is applied common sense. Covers hypothesis testing, statistical sampling, and various forms of regression analysis. Draws applications from economics, finance, engineering, marketing, public policy, operations management, and operations research. 18.05 Introduction to Probability and Statistics [REST²] Prereq: Calculus II (GIR) 4-0-8 units. Elementary introduction with applications. Basic probability models. Combinatorics. Random variables. Discrete and continuous probability distributions. Statistical estimation and testing. Confidence intervals. Introduction to linear regression. 14.30 Introduction to Statistical Methods in Economics [REST²] Prereq: Calculus II (GIR) 4-0-8 units. Self-contained introduction to probability and statistics with applications in economics and the social sciences. Covers elements of probability theory, statistical estimation and inference, regression analysis, causal inference, and program evaluation. Couples methods with applications and with assignments involving data analysis. Uses basic calculus and matrix algebra. Students taking graduate version complete additional assignments. May not count toward HASS requirement. Notes: ²Contact the Sloan Undergrad Office for alternative options for the Probability & Statistics requirement. Please note, the course or courses MUST cover both Probability and Statistics in depth similar to 15.069. Course 15/6 and 15/14 double majors can petition Course 6/Course 14 to count 15.069 as a substitute for 14.30 or 18.05. Subjects fulfill both Course 15-2 and GIR requirements are in bold.
15.312 [CI-M]	Organizational Processes for Business Analytics	Fall	0 Cr.
	15.312 Organizational Processes for Business Analytics [CI-M] Prereq: None 3-0-9 units Develops appreciation for organizational dynamics and competence in navigating social networks, working in a team, demystifying rewards and incentives, leveraging the crowd, understanding change initiatives, and making sound decisions. Provides instruction and practice in written and oral communication through presentations, and interpersonal and group exercises. Subjects fulfills both Course 15-1 and GIR requirements. Notes: Subjects fulfill both Course 15-2 and GIR requirements are in bold.
6.100A(6.0001) or 6.100L(6.000L)	Introduction to Computer Science Programming	Fall	0 Cr.
	6.100A Introduction to Computer Science Programming in Python Prereq: None Units: 2-0-4 Credit cannot also be received for 6.100L Introduction to computer science and programming for students with little or no programming experience. Students develop skills to program and use computational techniques to solve problems. Topics include the notion of computation, Python, simple algorithms and data structures, testing and debugging, and algorithmic complexity. Combination of 6.100A and 6.100B or 16.C20 counts as REST subject. Final given in the seventh week of the term. 6.100L Introduction to Computer Science and Programming Prereq: None Units: 2-0-4 Credit cannot also be received for 6.100A Introduction to computer science and programming for students with no programming experience. Presents content taught in 6.100A over an entire semester. Students develop skills to program and use computational techniques to solve problems. Topics include the notion of computation, Python, simple algorithms and data structures, testing and debugging, and algorithmic complexity. Lectures are viewed outside of class; in-class time is dedicated to problem-solving and discussion. Combination of 6.100L and 6.100B or 16.C20 counts as REST subject Notes: Subjects fulfill both Course 15-2 and GIR requirements are in bold.
HASS	Humanities, Arts, and Social Sciences	Fall	0 Cr.
	As part of MIT’s General Institute Requirements, all undergraduates must complete the HASS Requirement. It consists of eight subjects of at least nine units each in the humanities, arts, and social sciences. Learning in the humanities, arts, and social sciences (HASS) is an indispensable part of your undergraduate education. The HASS Requirement provides you with opportunities to deepen your knowledge in a variety of cultural and disciplinary areas, practice critical thinking, and develop vital skills while trying something new. There are three components to the HASS Requirement: Distribution, Concentration, and HASS Electives. To stay on pace, we recommend that you take one HASS subject each semester during your four years at MIT. Two of the subjects you complete to fulfill the HASS Requirement may also count toward the Communication Requirement if they are also designated as CI‑H subjects. Plan to take at least one HASS subject each semester. One of your two HASS subjects should be designated as Communication Intensive (CI‑H or CI‑HW). Consider a HASS Exploration Subject (HEX).

—Junior Year Spring

	Course Title	Term
15.053 [REST]	Optimization Methods in Business Analytics	Spring	0 Cr.
	15.053 Optimization Methods in Business Analytics [REST] Prereq: 1.00, 1.000, 6.100A, or permission of instructor Units: 4-0-8 Introduces optimization methods with a focus on modeling, solution techniques, and analysis. Covers linear programming, network optimization, integer programming, nonlinear programming, and heuristics. Applications to logistics, manufacturing, statistics, machine learning, transportation, game theory, marketing, project management, and finance. Includes a project in which student teams select and solve an optimization problem (possibly a large-scale problem) of practical interest. Notes: Subjects fulfill both Course 15-2 and GIR requirements are in bold.
15.076	Analytics for a Better World	Spring	0 Cr.
	15.076 Analytics for a Better World [LAB] Prereq: Calculus I (GIR) Units: 4-0-8 Introduces predictive and prescriptive analytics methods to solve problems that contribute to the welfare of society. Emphasis on using machine learning and optimization methods in innovative ways using real world data. Methods used include: linear and discrete optimization, linear and logistic regression, optimal classification and regression trees, deep learning, random forests, and boosted trees. Projects utilize Julia, Jump, and Tensor Flow. Assessment based on projects, including a capstone project. Restricted to undergraduates. Notes: Subjects fulfill both Course 15-2 and GIR requirements are in bold.
15.276	Communicating with Data	Spring	0 Cr.
	*15.276 Communicating with Data [CI-M] Prereq: None Units: 3-0-9 Equips students with the strategies, tactics, and tools to use quantitative information to inform and persuade others. Emphasizes effective communication skills as the foundation of successful careers. Develops the skills to communicate quantitative information in a business context to drive people and organizations toward better decisions. Focuses heavily on the cycle of practicing, reflecting, and revising. Students receive extensive, personalized feedback from teaching team and classmates. Limited to 25; priority to 15-2 and 6-14 majors. Notes: Subjects fulfill both Course 15-2 and GIR requirements are in bold.**
6.100B (6.0002) [REST] or 6.1010 (6.009) [LAB] Choose one of these courses	Introduction to Computational Thinking and Data Science	Spring	0 Cr.
Choose one of these courses	6.100B (6.0002) Introduction to Computational Thinking and Data Science [REST]¹ Prereq: 6.100A or permission of instructor Units: 2-0-4 Credit cannot also be received for 9.C20, 16.C20, 18.C20, CSE.C20 Provides an introduction to using computation to understand real-world phenomena. Topics include plotting, stochastic programs, probability and statistics, random walks, Monte Carlo simulations, modeling data, optimization problems, and clustering. Combination of 6.100A and 6.100B counts as REST subject. 6.1010 (6.009) Fundamentals of Programming [Lab]¹ Prereq: 6.100A Units: 2-4-6 URL: https://py.mit.edu Introduces fundamental concepts of programming. Designed to develop skills in applying basic methods from programming languages to abstract problems. Topics include programming and Python basics, computational concepts, software engineering, algorithmic techniques, data types, and recursion. Lab component consists of software design, construction, and implementation of design. Enrollment may be limited. Notes: ¹15-2 majors taking 15.0711 to fulfill the 15-2 Machine Learning requirement can take either 6.100B(6.0002) or 6.1010(6.009) to complete their 15-2 Programming requirement. 15-2 majors taking 6.3900(6.036) to fulfill the 15-2 Machine Learning requirement are encouraged to take 6.1010(6.009) to complete their 15-2 Programming requirement. Subjects fulfill both Course 15-2 and GIR requirements are in bold.

—Senior Year Fall

	Course Title	Term
15-2	Restricted Elective	Fall	0 Cr.
	Restricted Electives cover a wide range encompassing data analysis, modeling, decision making, and communicating. Some restricted electives can also be double counted towards other majors/minors or HASS requirement. With the updated prerequisites for 6.3900(6.036) it is recommended that 15-2 majors taking 6.3900(6.036) take 18.06 or 18.C06 as one of their 15-2 Restricted Elective. The Undergraduate Office and your advisor are good resources for planning your restricted electives depending on your professional and skill acquisition goals. See the list of 15-2 Restricted Electives.
15-2	Restricted Elective	Fall	0 Cr.
	Restricted Electives³ cover a wide range encompassing data analysis, modeling, decision making, and communicating. Some restricted electives can also be double counted towards other majors/minors or HASS requirement. With the updated prerequisites for 6.3900(6.036) it is recommended that 15-2 majors taking 6.3900(6.036) take 18.06 or 18.C06 as one of their 15-2 Restricted Elective. The Undergraduate Office and your advisor are good resources for planning your restricted electives depending on your professional and skill acquisition goals. See the list of 15-2 Restricted Electives. ³15-2 majors taking 6.3900(6.036) to fulfill the 15-2 Machine Learning requirement are required to take the prerequisite 18.06 or 18.C06. 18.06 or 18.C06 can count as a 15-2 Restricted Elective.
15.780	Analytics of Operations Mangement	Fall	0 Cr.
	Analytics of Operations Management Prereq: 6.3700, 15.069, or permission of instructor Units: 3-0-9 Introduces core concepts in data-driven modeling that inform and optimize business decisions under uncertainty. Covers models and frameworks, such as machine learning, time series forecasting, dynamic programming, stochastic optimization, and multi-armed bandits.
HASS	Humanities, Arts, and Social Sciences	Fall	0 Cr.
	As part of MIT’s General Institute Requirements, all undergraduates must complete the HASS Requirement. It consists of eight subjects of at least nine units each in the humanities, arts, and social sciences. Learning in the humanities, arts, and social sciences (HASS) is an indispensable part of your undergraduate education. The HASS Requirement provides you with opportunities to deepen your knowledge in a variety of cultural and disciplinary areas, practice critical thinking, and develop vital skills while trying something new. There are three components to the HASS Requirement: Distribution, Concentration, and HASS Electives. To stay on pace, we recommend that you take one HASS subject each semester during your four years at MIT. Two of the subjects you complete to fulfill the HASS Requirement may also count toward the Communication Requirement if they are also designated as CI‑H subjects. Plan to take at least one HASS subject each semester. One of your two HASS subjects should be designated as Communication Intensive (CI‑H or CI‑HW). Consider a HASS Exploration Subject (HEX).

—Senior Year Spring

	Course Title	Term
15-2	Restricted Elective	Spring	0 Cr.
	Restricted Electives cover a wide range encompassing data analysis, modeling, decision making, and communicating. Some restricted electives can also be double counted towards other majors/minors or HASS requirement. With the updated prerequisites for 6.3900(6.036) it is recommended that 15-2 majors taking 6.3900(6.036) take 18.06 or 18.C06 as one of their 15-2 Restricted Elective. The Undergraduate Office and your advisor are good resources for planning your restricted electives depending on your professional and skill acquisition goals. See the list of 15-2 Restricted Electives.
15-2	Restricted Elective	Spring	0 Cr.
	Restricted Electives cover a wide range encompassing data analysis, modeling, decision making, and communicating. Some restricted electives can also be double counted towards other majors/minors or HASS requirement. With the updated prerequisites for 6.3900(6.036) it is recommended that 15-2 majors taking 6.3900(6.036) take 18.06 or 18.C06 as one of their 15-2 Restricted Elective. The Undergraduate Office and your advisor are good resources for planning your restricted electives depending on your professional and skill acquisition goals. See the list of 15-2 Restricted Electives.
15-2	Restricted Elective	Spring	0 Cr.
	Restricted Electives cover a wide range encompassing data analysis, modeling, decision making, and communicating. Some restricted electives can also be double counted towards other majors/minors or HASS requirement. With the updated prerequisites for 6.3900(6.036) it is recommended that 15-2 majors taking 6.3900(6.036) take 18.06 or 18.C06 as one of their 15-2 Restricted Elective. The Undergraduate Office and your advisor are good resources for planning your restricted electives depending on your professional and skill acquisition goals. See the list of 15-2 Restricted Electives.
15.0711 or 6.3900(6.036) Choose one of these courses	The Analytics Edge or Machine Learning	Spring	0 Cr.
Choose one of these courses	15.0711 The Analytics Edge^{1 4} Prereq: 15.060 Units: 4-0-8 Credit cannot also be received for 15.0711, 15.072 You must participate in Sloan's Course Bidding to take this subject. Develops models and tools of data analytics that are used to transform businesses and industries, using examples and case studies in e-commerce, healthcare, social media, high technology, criminal justice, the internet, and beyond. Covers analytics methods such as linear regression, logistic regression, classification trees, random forests, neural networks, text analytics, social network analysis, time series modeling, clustering, and optimization. Uses mostly R programming language and some work in Jupyter notebooks. Includes team project. Meets with 15.0711 when offered concurrently. Expectations and evaluation criteria differ for students taking graduate version; consult syllabus or instructor for specific details. 6.390 (6.036)^{1 4} Introduction to Machine Learning^{1 4} Prereq: (6.1010 or 6.1210) and (18.03, 18.06, 18.700, or 18.C06) Units: 4-0-8 Introduction to the principles and algorithms of machine learning from an optimization perspective. Topics include linear and non-linear models for supervised, unsupervised, and reinforcement learning, with a focus on gradient-based methods and neural-network architectures. Previous experience with algorithms may be helpful. Notes: ¹15-2 majors taking 15.0711 to fulfill the 15-2 Machine Learning requirement can take either 6.100B(6.0002) or 6.1010(6.009) to complete their 15-2 Programming requirement. 15-2 majors taking 6.3900(6.036) to fulfill the 15-2 Machine Learning requirement are encouraged to take 6.1010(6.009) to complete their 15-2 Programming requirement. ⁴15.0711 and 6.3900(6.036) cannot double count toward the 15-2 Machine Learning requirement and as a 15-2 Restricted Elective.

Choosing Between Alternate Versions of Subjects

Computer Programming: With the updated prerequisites for 6.3900(6.036), we recommend for those planning on taking 6.3900(6.036) that they take 6.100A (6.0001) or 6.100L (6.000L) and 6.1010 (6.009) to fulfill the computer programming requirement. 6.100B (6.0002) is an excellent alternative to 6.1010 for those looking for more application. 6.100L is an excellent alternative for 6.100A for those with no previous coding experience.

Machine Learning: For those looking for a more applied course using the tools of Machine Learning (and other data science tools), 15.0711 is an excellent option. For those interested in more software engineering or coding heavy internships/jobs, 6.3900 (6.036) may be the better option.

Probability & Statistics: We anticipate that the majority of Course 15 students will take 15.069, as it involves how to apply probability and statistics in different business areas/situations. 14.30 is an alternative for Course 14/15 and 6-14/15 double majors. 18.05 is an alternative for Course 6 and 18 majors. Contact the Sloan Undergrad Office for alternative options for the Probability & Statistics requirement. Please note, the course or courses MUST cover both Probability and Statistics in depth similar to 15.069.

15-2 Restricted Electives: Restricted Electives cover a wide range encompassing data analysis, modeling, decision making, and communicating. Some restricted electives can also be double counted towards other majors/minors or HASS requirement. With the updated prerequisites for 6.3900(6.036) it is recommended that 15-2 majors taking 6.3900 (6.036) take 18.06 or 18.C06 as one of their 15-2 Restricted Elective. The Undergraduate Office and your advisor are good resources for planning your restricted electives depending on your professional and skill acquisition goals. See the the list of 15-2 Restricted Electives on the Sloan Undergrad website

Course 15 subjects with a '1' in the fourth decimal place (ex. 15.034/15.0341): The subject number with an extra '1' is the undergraduate number of the graduate subject. They meet together, in that they share the same lecture and deliverables, but the faculty have a different expectation and evaluation criteria for the undergraduates as compared to the graduate students (due mainly to the difference in professional experience that students have to draw upon). The undergraduate course number was added as a way to hold seats specifically for undergraduates. As with all undergraduate Course 15 subjects, there is no bidding necessary.

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