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MIT Course Catalogue 2007-2008

Home > Degree Programs > Science > Mathematics > Course 18

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 132
18.03 Differential Equations, 12, REST; 18.02*
or
18.034 Differential Equations, 12, REST; 18.02*

 

 

Restricted Electives 96
To satisfy the requirements that students take two CI-M subjects, students must take two of the following subjects: 18.096, 18.100C, 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: 6.033, 6.111, 8.06, or 18.310C.

 

General Mathematics Option
Eight 12-unit subjects of different content, including at least six advanced subjects (first decimal digit one or higher).
 
Applied Mathematics Option
18.310 or 18.310C Principles of Applied Mathematics, 12; 18.02*
18.311 Principles of Applied Mathematics, 12; 18.03*

One of the following two subjects:
18.04 Complex Variables with Applications, 12; 18.03*
18.112 Functions of a Complex Variable, 12; 18.100

One of the following two subjects:
18.06 Linear Algebra, 12, REST; 18.02*
18.700 Linear Algebra, 12; 18.02

Four additional 12-unit Course 18 subjects from the following two groups with at least one subject from each group:(1)
Group I - Probability and statistics, combinatorics, computer science
Group II - Numerical analysis, physical mathematics, nonlinear dynamics
 
Theoretical Mathematics Option
18.100B Analysis I, 12; 18.03*
18.701 Algebra I, 12; 18.700*
18.702 Algebra II, 12; 18.701
18.901 Introduction to Topology, 12; 18.100

One of the following subjects:
18.101 Analysis II, 12; 18.100, 18.700*
18.103 Fourier Analysis—Theory and Applications, 12; 18.100
An upper-level mathematics seminar(2) (12 units)
Two additional 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 60
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 are listed in the subject description. 
(1) A list of acceptable subjects is available in Room 2-108.
(2) These seminars are 18.104, 18.504, 18.704, 18.784, 18.904, and 18.994.
For an explanation of credit units, or hours, please refer to the Subject Key in Part 3 of this Bulletin.

 

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