## Mathematics : Degrees & Policies

#### Degrees Offered

**Undergraduate:**BA, BS, Minor

**Concentrations:**Actuarial Sciences (BS), General Curriculum (BA), Computing and Applied Mathematics (BA), Preparation for Graduate Study in Mathematics (BA and BS), Preparation for Graduate Study in Applied Mathematics (BA and BS), and General Study in Mathematics and Education (BA)

**Combined:**BA/MA

**Graduate:**MA, PhD

**Other programs:**Joint programs with other departments including Economics (BA), Physics (BS), and Bioinformatics and Computational Biology (BS)

#### Advisement

Students intending or contemplating a mathematics major are encouraged to talk with the undergraduate director (645-8785) at the earliest opportunity.

#### Acceptance Information

Applicants to the mathematics program should schedule an appointment with the undergraduate director by calling 716.645.8785. Formal application to the major can be made at any time after they have completed the three-course calculus sequence MTH 141-MTH 142-MTH 241 or the equivalent at a transfer institution, with a 2.5 GPA. Regular advisement is available and recommended to all students intending or contemplating a mathematics major.

The department's requirement for admission is a minimum GPA of 2.5 in the three calculus courses. Students who have taken more than these three courses usually need a minimum grade of C in any additional required courses they have completed.

The department's requirement for admission is a minimum GPA of 2.5 in the three calculus courses. Students who have taken more than these three courses usually need a minimum grade of C in any additional required courses they have completed.

*Note: Admittance to the department guarantees admittance to the General Curriculum Program only-all other concentrations or programs require specific approval from the director of undergraduate studies. Students who expect difficulty in being admitted to the department should follow the requirements for the General Curriculum Program or see the director of undergraduate studies for advice on which concentration to follow, pending admittance.*#### Academic Requirements

**Departmental Probation.**Students whose math GPA drops below 2.0 are placed on departmental probation for one semester. If their GPA remains below 2.0 at the end of the probationary semester, they are dropped from the department. They may reapply after one semester.

**Departmental Requirements for Graduation.**After a student has been accepted as a major, progress toward fulfillment of the degree requirements is monitored by the department. A student is recommended for a baccalaureate degree in mathematics only if:

(1) the program has been approved by the director of undergraduate studies,

(2) all required/approved courses have been completed, and

(3) a minimum departmental GPA of 2.0 has been attained in the specific program except in the General Curriculum Program where the minimum is 2.5.

#### Transfer Policy

Transfer students who intend to major in mathematics are urged to consult the director of undergraduate studies before or very early in their first semester at the University at Buffalo to determine equivalency of transferred mathematics courses. Transfer students are required to complete at least four upper-division courses in the Department of Mathematics at the University at Buffalo.

#### Mathematics - B.S.

#### Concentration BSc: General Study In Mathematics

#### About the Concentration

This concentration provides a basic theoretical course of study for mathematics majors intending graduate study in mathematics. Admission to this concentration is by departmental approval only. See the director of undergraduate studies regarding approval.

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses.

#### Prerequisite Courses

#### Required Courses

MTH 311 Introduction to Higher Mathematics

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 419 Introduction to Abstract Algebra

MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 432 Introduction to Real Variables II

Three 300/400-level mathematics courses

Four 300/400-level courses in mathematics or computer science

Total required credit hours for the major (concentration BSc): 64-68

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 419 Introduction to Abstract Algebra

MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 432 Introduction to Real Variables II

Three 300/400-level mathematics courses

Four 300/400-level courses in mathematics or computer science

**Summary**Total required credit hours for the major (concentration BSc): 64-68

**See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST - THIRD YEARS**

Follow first three years of concentration GS

**FOURTH YEAR**

Three 300/400 level mathematics courses

Four 300/400 level courses in mathematics or computer science

*Note: Not all seven electives need to be taken in the senior year.*

#### Mathematics - B.S.

#### Concentration BSc/AM: General Study In Applied Mathematics

#### About the Concentration

This concentration provides a course of study for mathematics majors intending to pursue graduate study in applied mathematics. Admission to this concentration is by departmental approval only. See the director of undergraduate studies regarding approval.

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses.

#### Prerequisite Courses

#### Required Courses

CSE 115 Introduction to Computer Science for Majors I

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 337 Introduction to Scientific and Mathematical Computing

MTH 417 Survey of Multivariable Calculus

MTH 418 Survey of Partial Differential Equations

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 443 Fundamentals of Applied Mathematics I

Three 300/400-level mathematics courses

Three 300/400-level courses in mathematics or computer science

PHY 107 General Physics I

PHY 108 General Physics II

Total required credit hours for the major (concentration BSc/AM): 77-83

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 337 Introduction to Scientific and Mathematical Computing

MTH 417 Survey of Multivariable Calculus

MTH 418 Survey of Partial Differential Equations

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 443 Fundamentals of Applied Mathematics I

Three 300/400-level mathematics courses

Three 300/400-level courses in mathematics or computer science

PHY 107 General Physics I

PHY 108 General Physics II

**Summary**Total required credit hours for the major (concentration BSc/AM): 77-83

**See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall CSE 115, MTH 141, PHY 107

Spring MTH 142, PHY 108

**SECOND YEAR**

Fall MTH 241, MTH 309

Spring MTH 306, MTH 337

**THIRD YEAR**

Fall MTH 417; MTH 311; One 300/400 level courses in mathematics

Spring MTH 418; MTH 419 or MTH 420; One 300/400 level courses in mathematics or computer science

**FOURTH YEAR**

Fall MTH 443; Two 300/400 level mathematics courses or computer science

Spring MTH 431; Two 300/400 level courses in mathematics

#### Mathematics - B.S.

#### Concentration A: Actuarial Science

#### About the Concentration

The Actuarial Science concentration provides a curriculum for mathematics majors intending to pursue a career as an actuary. Please see the Director of Undergraduate Studies for more information on this course of study.

#### Acceptance Criteria

A minimum GPA of 2.5 in the prerequisite courses.

#### Prerequisites

STA 119 Statistical Methods

MTH 141 College Calculus I

MTH 142 College Calculus II

MTH 241 College Calculus III

MTH 141 College Calculus I

MTH 142 College Calculus II

MTH 241 College Calculus III

#### Required Courses

CSE 113 or CSE 115 Introduction to Computer Science

ECO 405 Microeconomic Theory

ECO 407 Macroeconomic Theory

ECO 461 Economic Fluctuations and Forecasting

ECO 480 Econometrics I

ECO 481 Econometrics II

MGA 201 Accounting I

MGA 202 Accounting II

MGF 301 Corporation Finance

MTH 306 Differential Equations

MTH 309 Linear Algebra

MTH 311 Intro to Higher Math

MTH 411 Probability or STA 301 Probability

MTH 412 Statistical Interference or STA 302 Statistical Inference

MTH 458 Mathematical Finance I

MTH 459 Mathematical Finance II

STA 403/STA 503 Regression Analysis or MGQ 301 Statistical Decisions in Management

One STA 400/500 level elective

Total required credit hours for the major (concentration A): 79

ECO 405 Microeconomic Theory

ECO 407 Macroeconomic Theory

ECO 461 Economic Fluctuations and Forecasting

ECO 480 Econometrics I

ECO 481 Econometrics II

MGA 201 Accounting I

MGA 202 Accounting II

MGF 301 Corporation Finance

MTH 306 Differential Equations

MTH 309 Linear Algebra

MTH 311 Intro to Higher Math

MTH 411 Probability or STA 301 Probability

MTH 412 Statistical Interference or STA 302 Statistical Inference

MTH 458 Mathematical Finance I

MTH 459 Mathematical Finance II

STA 403/STA 503 Regression Analysis or MGQ 301 Statistical Decisions in Management

One STA 400/500 level elective

**Summary**Total required credit hours for the major (concentration A): 79

**See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall MTH 141, STA 119

Spring MTH 142, CSE 113 or CSE 115

**SECOND YEAR**

Fall MTH 241, MGA 201

Spring MTH 306, MTH 309, MGA 202

**THIRD YEAR**

Fall MTH 411, ECO 480, ECO 405

Spring MTH 412, ECO 481, ECO 407

**FOURTH YEAR**

Fall ECO 461, MTH 458, MGF 301, STA 503 or MGQ 301

Spring MTH 311, MTH 459, STA 400/500 level elective

#### Mathematical Physics - B.S.

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses.

#### Advising Notes

Students should consult with the undergraduate director in the physics and mathematics department regarding approved electives.

This is a joint program. A student who follows this program but does not complete it will have difficulty completing a math major without substantial additional coursework.

This is a joint program. A student who follows this program but does not complete it will have difficulty completing a math major without substantial additional coursework.

#### Prerequisite Courses

MTH 141 College Calculus I

MTH 142 College Calculus II

PHY 107 General Physics I or PHY 117 Honors Physics I (preferred)

PHY 108 General Physics II or PHY 118 Honors Physics II (preferred)

PHY 158 General Physics II Lab

MTH 142 College Calculus II

PHY 107 General Physics I or PHY 117 Honors Physics I (preferred)

PHY 108 General Physics II or PHY 118 Honors Physics II (preferred)

PHY 158 General Physics II Lab

#### Required Courses

MTH 241 College Calculus III

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 417 Survey of Multivariable Calculus

MTH 418 Survey of Partial Differential Equations

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 425 Introduction to Complex Variables I

PHY 207 General Physics III or PHY 217 Honors Physics III

PHY 208 General Physics IV

PHY 257 General Physics III Lab

PHY 301 Intermediate Mechanics I

PHY 307 Modern Physics Lab

PHY 401 Modern Physics I

PHY 403 Electricity and Magnetism I

PHY 405 Thermal and Statistical Physics I

PHY 407 Advanced Laboratory or PHY 408 Advanced Laboratory

PHY 431 Introduction to Mathematical Physics I (or MTH 424, if offered)

One 300/400-level MTH elective

One PHY elective (one of the following: PHY 302 Intermediate Mechanics II, PHY 402 Modern Physics II, PHY 404 Electricity and Magnetism II, or PHY 406 Thermal and Statistical Physics II)

Total required credit hours for the major: 78

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 417 Survey of Multivariable Calculus

MTH 418 Survey of Partial Differential Equations

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 425 Introduction to Complex Variables I

PHY 207 General Physics III or PHY 217 Honors Physics III

PHY 208 General Physics IV

PHY 257 General Physics III Lab

PHY 301 Intermediate Mechanics I

PHY 307 Modern Physics Lab

PHY 401 Modern Physics I

PHY 403 Electricity and Magnetism I

PHY 405 Thermal and Statistical Physics I

PHY 407 Advanced Laboratory or PHY 408 Advanced Laboratory

PHY 431 Introduction to Mathematical Physics I (or MTH 424, if offered)

One 300/400-level MTH elective

One PHY elective (one of the following: PHY 302 Intermediate Mechanics II, PHY 402 Modern Physics II, PHY 404 Electricity and Magnetism II, or PHY 406 Thermal and Statistical Physics II)

**Summary**Total required credit hours for the major: 78

**See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

FIRST YEAR

Fall MTH 141, PHY 107 or PHY 117

Spring MTH 142, PHY 108 or PHY 118, PHY 158

SECOND YEAR

Fall MTH 241, MTH 306, PHY 208

Spring MTH 309; PHY 207 or PHY 217; PHY 257

THIRD YEAR

Fall MTH 417, PHY 301, PHY 401

Spring MTH 418, PHY 307, one PHY elective

FOURTH YEAR

Fall MTH 419 or MTH 420; PHY 431, PHY 403, PHY 405

Spring MTH 425; PHY 408; one 300/400 level MTH elective

Fall MTH 141, PHY 107 or PHY 117

Spring MTH 142, PHY 108 or PHY 118, PHY 158

SECOND YEAR

Fall MTH 241, MTH 306, PHY 208

Spring MTH 309; PHY 207 or PHY 217; PHY 257

THIRD YEAR

Fall MTH 417, PHY 301, PHY 401

Spring MTH 418, PHY 307, one PHY elective

FOURTH YEAR

Fall MTH 419 or MTH 420; PHY 431, PHY 403, PHY 405

Spring MTH 425; PHY 408; one 300/400 level MTH elective

#### Mathematics - B.A.

#### General Curriculum In Mathematics

#### General Curriculum in Mathematics

This is the basic liberal arts major program in mathematics, and allows for freedom in course choice by the students. A total of nine mathematics (MTH) courses are required: five core courses (MTH 141, MTH 142, MTH 241, MTH 306, MTH 309) and four electives. An overall GPA of 2.5 in these nine mathematics courses is required to graduate in this program. Several concentrations requiring additional coursework are available for students with specific career goals.

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses (or transfer equivalents).

#### Prerequisite Courses

#### Required Courses

MTH 306 Introduction to Differential Equations

MTH 309 Introduction to Linear Algebra

One of the following: MTH 311 Introduction to Higher Mathematics, MTH 313 Elements of Set Theory, MTH 335 Elements of Geometry, MTH 419 Introduction to Abstract Algebra, MTH 420 Advanced Linear Algebra, MTH 431 Introduction to Real Variables I, or other proofs course approved by the director of undergraduate studies in mathematics.

Three 300/400-level mathematics courses. For students transferring a non-computer-based differential equations course, one of these three courses must be a computer applications course approved by the director of undergraduate studies.

Total required credit hours for the major (basic curriculum): 33-36

The requirement of an overall GPA of at least 2.5 in the nine mathematics courses will be strictly enforced. Students who fail to meet this requirement with their first nine courses may take additional mathematics courses approved by the director of undergraduate studies to achieve a package of nine in which a 2.5 GPA is earned.

MTH 309 Introduction to Linear Algebra

One of the following: MTH 311 Introduction to Higher Mathematics, MTH 313 Elements of Set Theory, MTH 335 Elements of Geometry, MTH 419 Introduction to Abstract Algebra, MTH 420 Advanced Linear Algebra, MTH 431 Introduction to Real Variables I, or other proofs course approved by the director of undergraduate studies in mathematics.

Three 300/400-level mathematics courses. For students transferring a non-computer-based differential equations course, one of these three courses must be a computer applications course approved by the director of undergraduate studies.

**Summary**Total required credit hours for the major (basic curriculum): 33-36

The requirement of an overall GPA of at least 2.5 in the nine mathematics courses will be strictly enforced. Students who fail to meet this requirement with their first nine courses may take additional mathematics courses approved by the director of undergraduate studies to achieve a package of nine in which a 2.5 GPA is earned.

**See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall MTH 141

Spring MTH 142

**SECOND YEAR**

Fall MTH 241

Spring MTH 309

**THIRD YEAR**

Fall MTH 306

Spring One of the following: MTH 311, MTH 313, MTH 335, MTH 419, MTH 420, MTH 431, or other mathematical proofs course approved by the director of undergraduate studies in mathematics

(Note: selections above must be made in consultation with the director of undergraduate studies in mathematics.)

**FOURTH YEAR**

Fall and Spring Three 300/400 level-mathematics courses

*Each elective must be pre-approved by the director of undergraduate studies in mathematics*

#### Mathematics - B.A.

#### Concentration C: Computing And Applied Mathematics

#### About the Concentration

This concentration is designed to serve those students interested in careers as applied mathematicians or scientific applications programmers.

The courses in this concentration are like the calculus and computing courses, though more difficult. A student who can handle MTH 141, MTH 142, MTH 241, CSE 115, and CSE 116 should be able to handle concentration C.

The courses in this concentration are like the calculus and computing courses, though more difficult. A student who can handle MTH 141, MTH 142, MTH 241, CSE 115, and CSE 116 should be able to handle concentration C.

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses.

#### Prerequisite Courses

#### Required Courses

CSE 115 Introduction to Computer Science for Majors I

CSE 116 Introduction to Computer Science for Majors II

CSE 241 Digital Systems

CSE 250 Algorithms and Data Structures

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 417 Survey of Multivariable Calculus and MTH 418 Survey of Partial Differential Equation or MTH 431 Introduction to Real Variables I and MTH 432 Introduction to Real Variables II*

MTH 437 Introduction to Numerical Analysis I

MTH 438 Introduction to Numerical Analysis II

Two 300/400-level mathematics courses

Two 300/400-level courses in mathematics or computer science

Total required credit hours for the major (concentration C): 64-68

CSE 116 Introduction to Computer Science for Majors II

CSE 241 Digital Systems

CSE 250 Algorithms and Data Structures

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 417 Survey of Multivariable Calculus and MTH 418 Survey of Partial Differential Equation or MTH 431 Introduction to Real Variables I and MTH 432 Introduction to Real Variables II*

MTH 437 Introduction to Numerical Analysis I

MTH 438 Introduction to Numerical Analysis II

Two 300/400-level mathematics courses

Two 300/400-level courses in mathematics or computer science

**Summary**Total required credit hours for the major (concentration C): 64-68

**See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall CSE 115, MTH 141

Spring CSE 116, MTH 142

**SECOND YEAR**

Fall CSE 241, MTH 241

Spring CSE 250, MTH 306

**THIRD YEAR**

Fall MTH 309; MTH 417 or MTH 431*

Spring MTH 418 or MTH 432*

**FOURTH YEAR**

Fall MTH 437

Spring MTH 438

Fall or Spring Two 300/400-level mathematics courses, two 300/400-level courses in mathematics or computer science

**MTH 311 is a prerequisite for MTH 431. Students must take one complete sequence MTH 417-MTH 418 or MTH 431-MTH 432. Students intending to go to graduate school in applied mathematics should take MTH 311-MTH 431-MTH 432 instead of MTH 417-MTH 418. MTH 311 would then count as a technical elective.*

#### Approved Technical Electives

Any 300/400-level MTH course is acceptable. Note that MTH 431-MTH 432 and MTH 419-MTH 420 are designed for students who want intensive preparation in analysis and modern algebra, and are not good choices to just fill out a schedule. MTH 431-MTH 432 may be taken as electives (in addition to MTH 417 or MTH 418) or as requirements (in place of MTH 417 and MTH 418).

Approved technical electives outside the Mathematics department: any 300 or 400 level CSE course.

Approved technical electives outside the Mathematics department: any 300 or 400 level CSE course.

#### Mathematics - B.A.

#### Concentration GS: General Study In Mathematics

#### About the Concentration

This concentration describes a basic theoretical course of study for mathematics majors intending to pursue graduate study in mathematics, or intending careers in such fields as actuarial science, financial analysis, or cryptography.

Admission to this concentration is by departmental approval only. See the director of undergraduate studies regarding approval.

Admission to this concentration is by departmental approval only. See the director of undergraduate studies regarding approval.

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses.

#### Advising Notes

Concentration GS has the fewest courses of any of the math concentrations except General Curriculum, but many courses are quite difficult; MTH 311, MTH 431-MTH 432, and MTH 419-MTH 420 are abstract theoretical courses emphasizing proofs. A student must do well in MTH 311 to enter this program.

Students planning to go to graduate school should meet with the director of undergraduate studies in mathematics in the fall semester of their junior year. They should plan to take the GREs in either spring of the junior year or fall of the senior year.

Students planning to go to graduate school should meet with the director of undergraduate studies in mathematics in the fall semester of their junior year. They should plan to take the GREs in either spring of the junior year or fall of the senior year.

#### Prerequisite Courses

#### Required Courses

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 419 Introduction to Abstract Algebra

MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 432 Introduction to Real Variables II

One 300/400-level mathematics course

Two 300/400-level courses in mathematics or computer science

Total required credit hours for the major (concentration GS): 49-52

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 419 Introduction to Abstract Algebra

MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 432 Introduction to Real Variables II

One 300/400-level mathematics course

Two 300/400-level courses in mathematics or computer science

**Summary**Total required credit hours for the major (concentration GS): 49-52

*(thirteen courses in math and related areas)***See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall MTH 141

Spring MTH 142

**SECOND YEAR**

Fall MTH 241, MTH 309

Spring MTH 306, MTH 311

**THIRD YEAR**

Fall MTH 419, MTH 431

Spring MTH 420, MTH 432

**FOURTH YEAR**

Fall or Spring One 300/400-level mathematics course (not MTH 417), two 300/400-level courses in mathematics or computer science (not MTH 417)

#### Mathematics - B.A.

#### Concentration GS/AM: General Study In Applied Mathematics

#### About the Concentration

This concentration describes a course of study for mathematics majors intending to pursue graduate study in applied mathematics. Admission to this concentration is by departmental approval only. See the director of undergraduate studies regarding approval.

#### Acceptance Criteria

A minimum GPA of 2.5 in the prerequisite courses.

#### Advising Notes

MTH 311, MTH 431, MTH 419 and MTH 420 are abstract theoretical courses emphasizing proofs. A student must do well in MTH 311 to enter this program.

Students planning to go to graduate school should meet with the director of undergraduate studies in mathematics in the fall semester of their junior year. They should plan to take the GREs in either spring of the junior year or fall of the senior year.

Students planning to go to graduate school should meet with the director of undergraduate studies in mathematics in the fall semester of their junior year. They should plan to take the GREs in either spring of the junior year or fall of the senior year.

#### Prerequisite Courses

#### Required Courses

CSE 115 Introduction to Computer Science for Majors I

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 337 Introduction to Scientific and Mathematical Computing

MTH 417 Survey of Multivariable Calculus

MTH 418 Survey of Partial Differential Equations

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 443 Fundamentals of Applied Mathematics I

Two 300/400-level courses in mathematics or computer science

PHY 107 General Physics I

PHY 108 General Physics II

Total required credit hours for the major (concentration GS/AM): 65-67

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 337 Introduction to Scientific and Mathematical Computing

MTH 417 Survey of Multivariable Calculus

MTH 418 Survey of Partial Differential Equations

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

MTH 443 Fundamentals of Applied Mathematics I

Two 300/400-level courses in mathematics or computer science

PHY 107 General Physics I

PHY 108 General Physics II

**Summary**Total required credit hours for the major (concentration GS/AM): 65-67

*(seventeen courses in math and related areas)***See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

#### Mathematics - Economics - B.A.

#### Program M/E: Joint Major In Mathematics/Economics

#### About the Concentration

This is a program for students intending graduate study in economics. Acceptance into this program requires a minimum GPA of 2.5 in both the mathematics and economics courses during the first year. Separate applications must be submitted to both the Department of Mathematics and the Department of Economics. Admission to this program is by departmental approval only. See the director of undergraduate studies regarding approval.

#### Acceptance Criteria

A minimum GPA of 2.5 in the prerequisite courses.

#### Advising Notes

A student must be able to handle MTH 311 to enter this program. Students should consult the advisor in each department concerning senior-level courses. Exceptions in the curriculum may be allowed through consultation with the appropriate department. Interested students should contact the departments upon application for up-to-date information on possible changes.

#### Prerequisite Courses

#### Required Courses

ECO 405 Microeconomic Theory

ECO 407 Macroeconomic Theory or ECO 337 Honors Macroeconomic Theory

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 411 Probability Theory

MTH 412 Introduction to Statistical Inference

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

One 300/400-level mathematics course

Two 300/400-level courses in economics (not ECO 480 or ECO 481)

Total required credit hours for the major (program M/E): 58-61

ECO 407 Macroeconomic Theory or ECO 337 Honors Macroeconomic Theory

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 411 Probability Theory

MTH 412 Introduction to Statistical Inference

MTH 419 Introduction to Abstract Algebra or MTH 420 Advanced Linear Algebra

MTH 431 Introduction to Real Variables I

One 300/400-level mathematics course

Two 300/400-level courses in economics (not ECO 480 or ECO 481)

**Summary**Total required credit hours for the major (program M/E): 58-61

*(fifteen courses in math and economics)***See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall MTH 141

Spring MTH 142

**SECOND YEAR**

Fall ECO 407 or ECO 337; MTH 241

Spring ECO 405, MTH 306, MTH 309, MTH 311

**THIRD YEAR**

Fall MTH 411, MTH 431

Spring MTH 419 or MTH 420, one 300/400-level mathematics course (not MTH 417)

**FOURTH YEAR**

Fall One 300/400-level courses in economics (not ECO 480 or ECO 481)

Spring MTH 412; one 300/400-level course in economics (not ECO 480 or ECO 481)

#### Mathematics - B.A.

#### Concentration GS/ED: General Study In Mathematics And Education

#### About the Concentration

This concentration is designed for the student whose career goal is to attain a master's degree for professional certification in adolescent mathematics education. Students interested in this concentration should obtain advisement from the director of undergraduate studies in mathematics, 233 Mathematics Building, and, for questions related to the education courses, from the Teacher Education Institute (TEI), 375 Baldy Hall.

Admission to the major must be sought from the Department of Mathematics, usually in the student's second year. For advice on prerequisites for required courses in education and selection of general education courses fulfilling the State Education Department (SED) requirement for prospective teachers, students should consult with TEI as early as their freshman year.

Completion of the major concentration (including the required education courses) provides advanced status toward initial New York State teacher certification, accomplished through one year of subsequent coursework at the graduate level through the Graduate School of Education. It is then possible to complete, within the state-mandated three years, the master's degree required for a professional teaching certificate, provided that all NYS requirements have been successfully completed.

Admission to the major must be sought from the Department of Mathematics, usually in the student's second year. For advice on prerequisites for required courses in education and selection of general education courses fulfilling the State Education Department (SED) requirement for prospective teachers, students should consult with TEI as early as their freshman year.

Completion of the major concentration (including the required education courses) provides advanced status toward initial New York State teacher certification, accomplished through one year of subsequent coursework at the graduate level through the Graduate School of Education. It is then possible to complete, within the state-mandated three years, the master's degree required for a professional teaching certificate, provided that all NYS requirements have been successfully completed.

#### Acceptance Criteria

A minimum GPA of 2.5 in the prerequisite courses.

#### Advising Notes

The courses in this concentration are more theoretical than those in concentration C; MTH 311, MTH 419, and MTH 431 are difficult. A student must be able to handle MTH 311 in order to enter this concentration.

*Warning: In order to graduate with a degree in mathematics in concentration GS/ED, a student must complete all the required education courses, as well as the required mathematics courses. Students who complete concentration GS/ED math requirements but do not complete the education requirements must change to the basic curriculum or to another concentration in order to graduate.*It is recommended that students interested in this concentration contact the department upon application for up-to-date information on possible changes in requirements.#### Prerequisite Courses

#### Required Courses

CEP 400 Educational Psychology

CSE 113 Introduction to Computer Science I or CSE 115 Introduction to Computer Science for Majors I

MTH 337 Introduction to Scientific and Mathematical Computing or CSE 114 Introduction to Computer Science II or CSE 116 Introduction to Computer Science for Majors II

ELP 405 Sociology of Education

LAI 350 Introduction to Education

LAI 414 Language, Cognition & Writing

MTH 191 Introduction to Discrete Mathematics or CSE 191 Discrete Structures

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 335 Elements of Geometry

MTH 411 Probability Theory

MTH 419 Introduction to Abstract Algebra

MTH 431 Introduction to Real Variables I

One 300/400-level mathematics elective

Two 300/400-level electives from the Educational Leadership and Policy department or the Counseling, School, and Educational Psychology department, or one education-related College of Arts and Sciences course

Total required credit hours for the major: 74-75

CSE 113 Introduction to Computer Science I or CSE 115 Introduction to Computer Science for Majors I

MTH 337 Introduction to Scientific and Mathematical Computing or CSE 114 Introduction to Computer Science II or CSE 116 Introduction to Computer Science for Majors II

ELP 405 Sociology of Education

LAI 350 Introduction to Education

LAI 414 Language, Cognition & Writing

MTH 191 Introduction to Discrete Mathematics or CSE 191 Discrete Structures

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 335 Elements of Geometry

MTH 411 Probability Theory

MTH 419 Introduction to Abstract Algebra

MTH 431 Introduction to Real Variables I

One 300/400-level mathematics elective

Two 300/400-level electives from the Educational Leadership and Policy department or the Counseling, School, and Educational Psychology department, or one education-related College of Arts and Sciences course

**Summary**Total required credit hours for the major: 74-75

*(fourteen courses in math and related areas)***See Baccalaureate Degree Requirements for general education and remaining university requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall MTH 141, CSE 113 or CSE 115

Spring MTH 142, CSE 113 or MTH 337

**SECOND YEAR**

Fall MTH 241, MTH 191 or CSE 191

Spring LAI 350, MTH 306, MTH 311

**THIRD YEAR**

Fall MTH 309, MTH 431

Spring CEP 400, ELP 405, MTH 335

**FOURTH YEAR**

Fall MTH 411, MTH 419 or MTH 420, LAI 414, one 300/400-level course chosen from the list of approved electives for the Undergraduate Minor in Education

Spring One 300/400-level mathematics elective; one 300/400-level course chosen from the list of approved electives for the Undergraduate Minor in Education

#### Mathematics - B.A./M.A.

#### About the Program

This program is designed for students who demonstrate, in their first two years of mathematical study, a high level of competence and motivation. Upon admission to the BA/MA program, students follow an integrated course of study leading to a combined degree. Admission to this program is by departmental approval only and requires a minimum GPA of 3.0 in mathematics courses (calculus, differential equations, linear algebra) as well as letters of recommendation.

#### Acceptance Criteria

A minimum GPA of 2.5 in the prerequisite courses.

#### Prerequisite Courses

#### Required Courses

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 519 Introduction to Abstract Algebra

MTH 520 Advanced Linear Algebra

MTH 531 Introduction to Real Variables I

MTH 532 Introduction to Real Variables II

Three 300/400-level courses in mathematics or computer science. At least one of these must be a mathematics course (excluding MTH 498, 499). Electives require approval by the director of undergraduate studies.

Six graduate-level courses, including at least 12 credits in mathematics. Included must be at least one year-long sequence in mathematics at the 500 level or above (other than 519-520 or 531-532). Electives require approval by the director of graduate studies.

Total required credit hours for the undergraduate portion: 33-36

Total required credit hours for the B.A./M.A.: 63-66

MTH 309 Introductory Linear Algebra

MTH 311 Introduction to Higher Mathematics

MTH 519 Introduction to Abstract Algebra

MTH 520 Advanced Linear Algebra

MTH 531 Introduction to Real Variables I

MTH 532 Introduction to Real Variables II

Three 300/400-level courses in mathematics or computer science. At least one of these must be a mathematics course (excluding MTH 498, 499). Electives require approval by the director of undergraduate studies.

Six graduate-level courses, including at least 12 credits in mathematics. Included must be at least one year-long sequence in mathematics at the 500 level or above (other than 519-520 or 531-532). Electives require approval by the director of graduate studies.

**Summary**Total required credit hours for the undergraduate portion: 33-36

Total required credit hours for the B.A./M.A.: 63-66

**See Baccalaureate Degree Requirements for general education and remaining university requirements.****Refer to the Graduate School's Policies and Procedures Manual for Master's Candidate Requirements.**#### Recommended Sequence of Program Requirements

**FIRST YEAR**

Fall MTH 141

Spring MTH 142

**SECOND YEAR**

Fall MTH 241, MTH 309

Spring MTH 306, MTH 311

**THIRD YEAR**

Fall and Spring Three 300/400-level courses in mathematics or computer science. At least one of these must be a mathematics course other than MTH 417. Electives require approval by the director of undergraduate studies in mathematics.

**FOURTH YEAR**

Fall MTH 519, MTH 531

Spring MTH 520, MTH 532

**FIFTH YEAR**

Fall and Spring Six graduate-level math electives, including at least 12 credits in mathematics. Included must be at least one year-long sequence in mathematics at the 500 level or above (other than MTH 519-MTH 520 or MTH 531-MTH 532). Electives require approval by the director of graduate studies.

Project or thesis (up to 6 credits of the 18 credits of graduate level electives may be used for MTH 800 Thesis Guidance.)

#### Mathematics - Minor

#### Acceptance Criteria

Minimum GPA of 2.5 in the prerequisite courses (or approved transfer equivalent).

#### Prerequisite Courses

#### Required Courses

MTH 306 Introduction to Differential Equations

MTH 309 Introductory Linear Algebra

Two additional 300/400-level mathematics electives from within the Department of Mathematics

Total required credit hours for the minor: 26-28

MTH 309 Introductory Linear Algebra

Two additional 300/400-level mathematics electives from within the Department of Mathematics

*Note: A minimum GPA of 2.0 is required in these courses for departmental recommendation for a minor in mathematics.***Summary**Total required credit hours for the minor: 26-28

*(7 courses from within the Mathematics department)*Updated: 13 Nov 2012 06:01:36 EST