Language Study : The prospective candidate for an advanced degree in mathematics or statistics should keep in mind that many graduate programs require a reading knowledge of one or two foreign languages selected from French, German, and Russian.

The Bachelor of Science in Mathematics

1. Analytic Geometry and Calculus 1, 2, 3 (12 cr. total): MATH 0220, MATH 0230, MATH 0240
2. Three intermediate mathematics courses (10 cr. total): 2
   Introduction to Theoretical Mathematics (4 cr.): MATH 0413
   Introduction to Theory: 1--Variable Calculus (3 cr.): MATH 0420
   Introduction to Abstract Algebraic Systems (3 cr.): MATH 0430
   

3. Linear Algebra 1 (3 cr.): MATH 1180 or MATH 1185 3

4. Ordinary Differential Equations 1 (3 cr.): MATH 1270

5. At least one of the following courses:
   Applied Elementary Number Theory (3 cr.): MATH 1020
   Combinatorial Mathematics (3 cr.): MATH 1050
   Linear Algebra 2 (3 cr.): MATH 1240
   Abstract Algebra (3 cr.): MATH 1250

6. Three additional courses from this approved list (9 cr. total):
   Applied Elementary Number Theory (3 cr.): MATH 1020
   Combinatorial Mathematics (3 cr.): MATH 1050
   Numerical Mathematics: Analysis (3 cr.): MATH 1070
   Numerical Linear Algebra (3 cr.): MATH 1080
   Linear Programming (3 cr.): MATH 1100
   Industrial Numerical Analysis (3 cr.): MATH 1110
   Linear Algebra 2 (3 cr.): MATH 1240
   Abstract Algebra (3 cr.): MATH 1250
   Ordinary Differential Equations 2 (3 cr.): MATH 1280
   Topics in Geometry (3 cr.): MATH 1290
   Graph Theory (3 cr.): MATH 1310
   Projective Geometry (3 cr.): MATH 1330
   Introduction to Differential Geometry (3 cr.): MATH 1350
   Modeling in Applied Mathematics (3 cr.): MATH 1360
   Introduction to Foundations of Mathematics (3 cr.): MATH 1410
   Foundations of Mathematics 2 (3 cr.): MATH 1420
   Partial Differential Equations and Applications 1 (3 cr.): MATH 1470
   Advanced Calculus 1, 2 (3 cr. each): MATH 1530, MATH 1540
   Vector Analysis (3 cr.): MATH 1550
   Complex Variables for Science/Engineering Students (3 cr.): MATH 1560
   Transform Methods in Applied Mathematics (3 cr.): MATH 1570
   Introduction to Topology (3 cr.): MATH 1700
   Advanced Topics in Mathematics: MATH 1800, MATH 1801
   Intermediate Mathematical Statistics 1, 2 (3 cr. each): STAT 1631, STAT 1632
   Any three credit graduate level mathematics course.

7. Basic Physics for Science and Engineering 1 (3 cr.): PHYS 0104 or PHYS 0174

8. Students are required by CAS to complete a 12-credit related area. This area will be determined in consultation with the major advisor.

Requirements for Departmental Honors in Mathematics: The Department also offers a program for students pursuing a major in mathematics leading to graduation with departmental honors in mathematics. This program is designed for students who are considering graduate study in mathematics, or a related field which makes use of mathematics. In order to qualify for departmental honors in mathematics, a student must:

1. Fulfill all requirements for a degree in Mathematics
2. Complete the following courses with grade of at least B:
   MATH 1250 Abstract Algebra
   MATH 1530 Advanced Calculus 1
   MATH 1540 Advanced Calculus 2
   MATH 1800 or 1801 or one graduate level mathematics course.
   
3. Complete an honors thesis under the direction of a Mathematics faculty member or a second advanced mathematics course (MATH 1800 or 1801 or a graduate level course). (For students seeking a BPhil degree from the Honors College, this requirement could be satisfied by the Honors College Thesis.) Course credit for thesis work will normally be awarded as MATH 1902 (Directed Study).

   Although not required, it is highly recommended that honors degree candidates take the intermediate honors courses Math 1185, and 0450 during their freshman or sophomore year.

   Students interested in the departmental honors program should consult with the Undergraduate Director or Department Chairperson as early as possible, preferably during the freshman or sophomore year, even if they have not yet declared their major.

   The Department's Undergraduate Committee is responsible for certifying students who graduate with departmental honors in mathematics. The Undergraduate Committee is empowered to make minor changes in the requirements based on a student's individual circumstances.

1. Analytic Geometry and Calculus 1, 2, 3 (12 cr. total): MATH 0220, MATH 0230, MATH 0240
2. Two intermediate mathematics courses (7 cr. total): 4
   Introduction to Theoretical Mathematics (4 cr.): MATH 0413
   Introduction to Theory: 1--Variable Calculus (3 cr.): MATH 0420.
   
3. Linear Algebra 1 (3 cr.): MATH 1180 or MATH 1185 5
4. Ordinary Differential Equations 1 (3 cr.): MATH 1270
5. One course from each of the following two groups ( 6 cr. total):
   1. NUMERICAL MATHEMATICS GROUP:
      Numerical Analysis (3 cr.): MATH 1070
      Numerical Linear Algebra (3 cr.): MATH 1080
      Linear Programming (3 cr.): MATH 1100
      Industrial Numerical Analysis (3 cr.): MATH 1110
   2. APPLIED ANALYSIS GROUP:
      Vector Analysis and Applications (3 cr.): MATH 1550
      Complex Variables for Science and Engineering Students (3 cr.): MATH 1560
      Transform Methods in Applied Mathematics (3 cr.): MATH 1570
      
6. One additional course from one of the two groups in 5 or one course from:

   DIFFERENTIAL EQUATIONS GROUP:
   a. Ordinary Differential Equations 2 (3 cr.): MATH 1280
   b. Partial Differential Equations/Applications 1, 2 (3 cr. each): MATH 1470, MATH 1480
   

7. One of the following courses:
   Industrial Numerical Analysis (3 cr.): MATH 1110
   Modeling in Applied Mathematics (3 cr.): MATH 1360
   
8. Basic Physics for Science and Engineering 1, 2 (6 cr. total): (PHYS 0104 and PHYS 0105) or (PHYS 0174 and PHYS 1075).
   
9. One of the following courses providing an introduction to computer science:
   Intro. Computer Programming (3 cr.): CS0007
   Programming in C (3 cr.): CS 0132
   
10. One of the following courses providing an introduction to statistics :
    Introduction to Applied Statistics (4 cr.): STAT 1000
    Introduction to Probability/Mathematical Statistics 1 (3 cr.): STAT 1151
    
11. A related area (12 credits minimum) to be approved by the Department's Undergraduate Committee consisting of a coherent sequence of courses in a field to which mathematics is applied. 6 Students should consult the list of currently approved course sequences.

Students who are interested in graduate study are strongly advised to take Advanced Calculus, MATH 1530-1540. These two courses can be substituted for the course in the APPLIED ANALYSIS GROUP of 5 above and for the single course specified in 6 above, respectively. Note that no single course may fulfill two requirements simultaneously.

Requirements for Departmental Honors in Applied Mathematics: The Department also offers a program for students pursuing a major in applied mathematics leading to graduation with departmental honors in applied mathematics. This program is designed for students who are considering graduate study in mathematics or a related field which makes use of mathematics. In order to qualify for departmental honors in applied mathematics, a student must:

1. Fulfill all requirements for a degree in applied mathematics
2. Complete the following courses with grade of at least B:
   MATH 1470 Partial Differential Equations
   MATH 1530 Advanced Calculus 1
   MATH 1540 Advanced Calculus 2
   MATH 1800 or 1801 Advanced Topics in Mathematics
   
3. Complete an honors thesis under the direction of a Mathematics faculty member. (For students seeking a BPhil degree from the Honors College, this requirement could be satisfied by the Honors College Thesis.) Course credit for thesis work will normally be awarded as MATH 1902 (Directed Study).

The statistics requirement will be waived for honors candidates in Applied Math.

Although not required, it is highly recommended that honors degree candidates take the intermediate honors courses Math 1185, and 0450 during their freshman or sophomore year.

Students interested in the departmental honors program should consult with the Undergraduate Director or Department Chairperson as early as possible, preferably during the freshman or sophomore year, even if they have not yet declared their major.

The Department's Undergraduate Committee is responsible for certifying students who graduate with departmental honors in mathematics. The Undergraduate Committee is empowered to make minor changes in the requirements based on a student's individual circumstances.

The Bachelor of Science in Scientific Computing

Students in the program must fulfill the following minimal requirements, earning a grade of C or higher in each course. Students contemplating graduate study should discuss with their advisor at as early a date as possible the additional courses they should take to prepare for graduate study in their desired area.

1. Basic Courses of the Program (6 cr total)
   
   1. MATH 0400 Discrete Mathematical Structures (3 cr) or
      CS 0441 Discrete Structures for Computer Science (3 cr)
      
   2. MATH 1110 Industrial Mathematics (3 cr) or
      CS 1538 Introduction to Simulation (3 cr)
      
2. Basic Mathematics (15 cr or 16 cr total)
   
   1. MATH 0220 Analytic Geometry and Calculus Part 1: (4 cr)
      
   2. MATH 0230 Analytic Geometry and Calculus Part 2: (4 cr)
      
   3. MATH 0240 Analytic Geometry and Calculus Part 3: (4 cr)
      
   4. One of the following courses:
      
      MATH 0250 Matrix Theory and Differential Equations (4 cr)
      MATH 0280 Introduction to Matrices and linear algebra (3 cr)
      MATH 1180 Linear Algebra I (3 cr)
      MATH 1185 Honors Linear Algebra (3 cr)
      
3. Basic Computer Science (13 cr total)
   
   1. CS 0401 Introduction to Computer Science (4 cr)
      
   2. CS 0445 Introduction to Information Structures (3 cr)
      
   3. CS 0447 Computer Organization and Assembly Language Programming (3 cr)
      
   4. CS 1501 Data Structures and Algorithms (3 cr)
      
4. Advanced Undergraduate Computational Mathematics (9cr total)
   
   1. MATH 1070 Numerical Mathematics: Analysis (3cr)
      
   2. MATH 1080 Numerical Linear Algebra (3 cr)
      
   3. One of the following courses:
      MATH 1100 Linear Programming (3 cr)
      MATH 1270 Ordinary Differential Equations (3cr)
      MATH 1470 Partial Differential Equations and Applications (3 cr)
      
5. Advanced Undergraduate Computer Science (9 cr total)
   
   1. CS 1566 Introduction to Computer Graphics (3cr)
      
   2. CS 1659 Introduction to High Performance Computing Systems (3cr)
      
   3. One of the following courses:
      CS 1510 Design and Analysis of Algorithms (3cr)
      CS 1520 Programming Languages (3 cr)
      CS 1536 Software Engineering (3 cr)
      CS 1541 Introduction to Computer Architecture(3 cr)
      CS 1555 Data Base Management Systems (3 cr)
      
6. Applications Area Requirement (12 cr total)
   

   An application area to be approved by the Program Committee consisting of a coherent sequence of courses in the physical or biological sciences, economics, or an area of engineering.

1. (12 cr) Calculus I, II, III -- Math 0220, 0230, 0240
2. (3 cr) Linear Algebra -- Math 0280 or 1180 or 1185
3. (3 cr) Ordinary Differential Equations -- Math 0290 or Math 1270
4. (6 cr) Actuarial Mathematics -- Math 1120 and 1121
5. (3 cr) Numerical Methods -- Math 1070 or 1080
6. (6 cr) Applied Mathematics -- two courses from among Math 1280, 1360, 1470, 1480
7. (3 cr) Industrial Mathematics -- Math 1100
8. (12 cr) Economics -- Econ 0100, 0110, 1100 and 1110
9. (3 cr) Computer Science -- CS 0007 or CS 0132
10. (9 cr) Statistics -- Stat 1151, Stat 1152, and either 1631 or 1731
11. (3 cr) Business -- Bus Fin 1030 or Econ 1440

The Bachelor of Science in Mathematics-Economics

REQUIREMENTS IN MATHEMATICS: Students will take at least 31 credits of basic courses in mathematics. In addition, it is strongly recommended that students take at least one field course. The selection of field courses in mathematics varies with the choice of specialty in economics.

1. BASIC COURSES (31 cr. total)
   
   1. Analytic Geometry and Calculus 1, 2, 3 (12 cr. total): MATH 0220, MATH 0230, MATH 0240
      
   2. Three intermediate mathematics courses (10 cr. total): 7
      Introduction to Theoretical Mathematics (4 cr.): MATH 0413
      Introduction to Theory: 1--Variable Calculus (3 cr.): MATH 0420
      Introduction to Abstract Algebraic Systems (3 cr.): MATH 0430
      
   3. Introduction to Probability/Mathematical Statistics 1, 2 (6 cr. total): STAT 1151, STAT 1152
   4. Linear Algebra 1 (3 cr.): MATH 1180 or MATH 1185
2. FIELD COURSES.
   
   1. Economic Theory -- MATH 1110, MATH 1250, MATH 1270, MATH 1700
   2. Econometrics -- STAT 1221, STAT 1311, STAT 1321, STAT 1631, STAT 1632, STAT 1661, STAT 1761
   3. Mathematical Economics -- MATH 1100, MATH 1270, MATH 1700
   4. Other -- MATH 1070, MATH 1080, MATH 1110

REQUIREMENTS IN ECONOMICS: Students take a total of 27 credits in Economics distributed as follows.

1. BASIC COURSES (18 cr. total)
   1. Economic Theory (12 cr. total): ECON 0100, ECON 0110, ECON 1100, ECON 1110: 8
      
   2. Statistics -- Econometrics (3 cr. total): ECON 1150
   3. Game Theory (3 cr. total): ECON 1200
2. FIELD COURSES (9 cr. total)
   1. One ECON elective (3 cr.) which is not in the 0800 series and is not 1170
   2. Two ECON electives (6 cr.) from among ECON 1130, 1140, 1150, 1160, 1230, 1280, 1300, 1310, 1320, 1360 1420, 1440, 1450, 1470, 1500, 1510, 1520, 1530, 1540, 1560, 1670, 1700-1730

1. MATH 0235 (honors), MATH 0240 (honors)
2. MATH 0450
3. MATH 1185
4. MATH 1530
5. One additional junior-senior (i.e. 1000) level course.

In addition, the student must maintain a QPA of at least 3.0 in mathematics courses taken, a QPA of at least 3.25 in economics courses taken, and an overall QPA of at least 3.25.

1. BASIC COURSES. Ideally these are to be completed by the end of the sophomore year:
   1. Mathematics and Statistics Requirements: The basic introductory sequence or its equivalent; this includes MATH 0240, MATH 0413, MATH 0420, and MATH 0430.
   2. Philosophy Requirements: PHIL 0200, and PHIL 0210. (Some other introductory course may be substituted for one of these with the consent of the student's advisor.)
2. FIELD COURSES. At least 30 cr. of mathematics and philosophy courses at the upper level. These will normally be distributed as follows:
   1. Mathematics/Statistics Requirements (15 cr.):
      1. Advanced Calculus I (MATH 1530);
      2. One course each from at least two of the following groups:
         
         1. Advanced Calculus II (MATH 1540);
            
         2. Algebra (MATH 1250);
         3. Topology (MATH 1700) or Geometry (MATH 1290).
      3. One Foundations course ( MATH 1410 (Foundations of Math) or PHIL 1530 (Set Theory) or PHIL 1540 (Computability Theory).
      4. MATH 1180 (Linear Algebra).
   2. Philosophy Requirements (15 cr.):
      1. (9cr.) Three upper (i.e. 1000) level philosophy courses, including at least one of the following topics: philosophy of mathematics, philosophy of logic, philosophy of science or semantics, and at least one course which is not concerned with any of these topics.
      2. (6 cr.) By the end of the junior year, students in the joint major are expected to have completed PHIL 1500. By the end of the senior year, students are expected to have completed either PHIL 1520 or PHIL 1540.
   Note: A single course cannot satisfy both a Mathematics and a Philosophy requirement.

1. At least 9 credits of courses numbered 0250 or higher;
2. At least 6 credits of courses numbered 1000 or hither.