The Mathematical Sciences minor:
21-127 Concepts of Mathematics
21-228 Discrete Mathematics (or 21-301 Combinatorics or 21-484 Graph Theory)
21-241 Matrix Algebra (or 21-341 Linear Algebra I)
21-355 Principles of Real Analysis I
21-3xx Mathematical Science Elective
21-3xx Mathematical Science Elective
Notes: The pre-requisite for 21-355 Principles of Real Analysis I is 21-122 Integration, Differential Equations and Approximation and 21-127 Concepts of Mathematics.
21-341 Linear Algebra I is the recommended option for a student planning to choose 21-373 Algebraic Structures as an elective.
Three courses with numbers less than 300 qualify as Electives: 21-229 Set Theory, 21-270 Introduction to Mathematical Finance and 21-292 Operations Research I
The Discrete Mathematics and Logic minor:
21-300 Basic Logic (or 21-600 Mathematical Logic I)
21-301 Combinatorics
21-341 Linear Algebra I
21-484 Graph Theory
and two of the following:
21-229 Set Theory
21-374 Field Theory
21-441 Number Theory
21-602 Introduction to Set Theory
21-603 Introduction to Model Theory
21-610 Algebra I
21-700 Mathematical Logic II
The Computational Finance minor:
The requirements for the Computational Finance Minor are listed below. Beginning in Fall 2006, a student must satisfy one of the following requirements to declare a minor:
1. Completion of 21-270 Introduction to Mathematical Finance with a grade of A and an overall QPA of at least 3.2.
or
2. Completion of 21-270 Introduction to Mathematical Finance and 21-370 Discrete-Time Finance with an average grade of B and an overall QPA of at least 3.0.
When a student has met the necessary requirements, he or she may declare the minor by contacting the Associate Dean of the Mellon College of Science.
21-241 Matrix
Algebra (or 21-341 Linear
Algebra I)
21-259 Calculus in
Three Dimensions (or 21-256 Multivariate Analysis)
21-260 Differential
Equations
21-270 Introduction to
Mathematical Finance
21-370 Discrete-Time
Finance
21-420 Continuous-Time
Finance
To avoid excessive double counting, Mathematical Sciences majors must also take 21-365 Projects in Applied Mathematics or an approved substitute.
The pre-requisite for 21-370 is 21-270, and either 21-256 or 21-259, and the co-requisite is 70-207, 21-325, 36-225, or 36-217. Students in 21-370 are expected to read and write proofs.
The pre-requisite for 21-420 is 21-260, 21-370 and one of the following three calculus based probability courses: 21-325, 36-225, or 36-217. Note that 70-207 is not a sufficient preparation in probability. Also note that 21-122 is a pre-requisite for 21-260 and that 21-127 is a prerequisite for 21-341 and is recommended for 21-241.
Note that these are corrections of the pre-requisites listed in the 2004-06 catalog.
Students minoring in Computational Finance are strongly encouraged to take one or two economics courses,
e.g., 73-100, 73-150, 73-200 and 73-251