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18.152 Introduction to Partial Differential Equations

Prereq: 18.100A, 18.100B, 18.100P, or 18.100Q; 18.06, 18.700, or 18.701
U (Spring)
12 Units

Introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. Includes mathematical tools, real-world examples and applications, such as the Black-Scholes equation, the European options problem, water waves, scalar conservation laws, first order equations and traffic problems.

J. Speck

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Subject meets with 18.1521

Mathematics (Course 18)

http://catalog.mit.edu/degree-charts/mathematics-course-18/

General Institute Requirements (GIRs) The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below. Summary of Subject Requirements Subjects Science Requirement 6 Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. 8 Restricted Electives in Science and Technology (REST) Requirement [one subject can be satisfied by 18.03 in the Departmental Program] 2 Laboratory Requirement (12 units) 1 Total GIR Subjects Required for SB Degree 17 Physical Education Requirement Swimming requirement, plus four physical education courses for eight points. Departmental Program Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.

Mathematics with Computer Science (Course 18-C)

http://catalog.mit.edu/degree-charts/mathematics-computer-science-course-18-c/

General Institute Requirements (GIRs) The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below. Summary of Subject Requirements Subjects Science Requirement 6 Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. 8 Restricted Electives in Science and Technology (REST) Requirement [can be satisfied by 18.03 or 18.06 and 18.062[J] (if taken under joint number 6.042[J] ) in the Departmental Program] 2 Laboratory Requirement (12 units) [can be satisfied by 6.009 in the Departmental Program] 1 Total GIR Subjects Required for SB Degree 17 Physical Education Requirement Swimming requirement, plus four physical education courses for eight points. Departmental Program Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.