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MIT Course Catalog 2014-2015

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Bachelor of Science in Mathematics/Course 18

General Institute Requirements (GIRs) Subjects
Science Requirement 6
Humanities, Arts, and Social Sciences Requirement 8
Restricted Electives in Science and Technology (REST) Requirement [one subject can be satisfied by 18.03 or 18.034 in the Departmental Program] 2
Laboratory Requirement 1
Total GIR Subjects Required for SB Degree 17
Communication Requirement  
The program includes a Communication Requirement of 4 subjects:
2 subjects designated as Communication Intensive in Humanities, Arts, and Social Sciences (CI-H); and 2 subjects designated as Communication Intensive in the Major (CI-M).
 
PLUS Departmental Program Units
Subject names below are followed by credit units, and by prerequisites, if any (corequisites in italics).
Required Subjects 12
One of the following two subjects:(1)
18.03 or 18.034 Differential Equations, 12, REST; Calculus II (GIR)

 

 

Restricted Electives 96–102
To satisfy the requirements that students take two CI-M subjects, students must take two of the following subjects: 18.104, 18.304, 18.384, 18.424, 18.434, 18.504, 18.704, 18.784, 18.821, 18.904, or 18.994
or
one from the above list and one of the following subjects: 8.06, 14.33, 18.100C, or 18.310.

 

General Mathematics Option
Eight 12-unit subjects of essentially different content, including at least six advanced subjects (first decimal digit one or higher). One of these eight subjects must be 18.06, 18.700, or 18.701.
 
Applied Mathematics Option
18.310A Principles of Discrete Applied Mathematics, 12; Calculus II (GIR)
or
18.310 Principles of Discrete Applied Mathematics, 15; CI-M; Calculus II (GIR)

18.311 Principles of Continuum Applied Mathematics, 12; Calculus II (GIR), 18.03*

One of the following two subjects:

18.04 Complex Variables with Applications, 12; Calculus II (GIR), 18.03*
18.112 Functions of a Complex Variable, 12; 18.100, 18.06*

One of the following two subjects:
(2)
18.06 Linear Algebra, 12, REST; Calculus II (GIR)
18.700 Linear Algebra, 12, REST; Calculus II (GIR)

Four additional 12-unit Course 18 subjects from the following two groups with at least one subject from each group:
(3)
Group I - Probability and statistics, combinatorics, computer science
Group II - Numerical analysis, physical mathematics, nonlinear dynamics

 
Theoretical Mathematics Option
18.100 Real Analysis, 12; Calculus II (GIR)*
18.701 Algebra I, 12; 18.100*
18.702 Algebra II, 12; 18.701
18.901 Introduction to Topology, 12; 18.100*

One of the following subjects:
18.101 Analysis and Manifolds, 12; 18.100, 18.06*
18.102 Introduction to Functional Analysis, 12; 18.100, 18.06*
18.103 Fourier Analysis—Theory and Applications, 12; 18.100, 18.06*

An undergraduate seminar from the following list: 18.104, 18.504, 18.704, 18.784, 18.904, 18.994 (12 units)

Two additional 12-unit Course 18 subjects of essentially different content, with the first decimal digit one or higher (24 units)
 
Departmental Program Units That Also Satisfy the GIRs (12)
Unrestricted Electives 78-84
Total Units Beyond the GIRs Required for SB Degree 180
No subject can be counted both as part of the 17-subject GIRs and as part of the 180 units required beyond the GIRs. Every subject in the student's departmental program will count toward one or the other, but not both.
Notes
*Alternate prerequisites and corequisites are listed in the subject description. 
(1) Students may substitute one of the more advanced subjects 18.152 Introduction to Partial Differential Equations or 18.303 Linear Partial Differential Equations: Analysis and Numerics for 18.03.
(2) Students may substitute the more advanced subject 18.701 Algebra I.
(3) A list of acceptable subjects is available from Math Academic Services and on the Mathematics Department website.
For an explanation of credit units, or hours, please refer to the online help in the MIT Subject Listing & Schedule, http://student.mit.edu/catalog/index.cgi.

 

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