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GRADUATE PROGRAMS


Master of Arts in Pure Mathematics

Master of Arts in Statistics and Applied Mathematics
T eacher Education Programs in Adolescent Mathematics (Grades 7-12)


MASTER of ARTS in PURE MATHEMATICS

Admission Requirements
The general college admission requirements must be satisfied. These include the Graduate Record Examination and two letters of recommendation. The Department’s requirements are flexible. They are intended to encourage students without a prior specialization in mathematics to pursue a degree in mathematics.

Degree Requirements
Ten courses, 30 credits, chosen as described below
Four comprehensive examinations
Language competency

Core Curriculum (15 credits, 5 courses)

Algebra Core
MATH 721 Modern Algebra I  and
either
MATH 722 Modern Algebra II
or
  MATH 725 Advanced Linear Algebra

Analysis Core
MATH 746 Theory of Functions of a Real Variable I   and
either
  MATH 747 Theory of Functions of a Real Variable II
or
  MATH 742 Analytic Functions

Geometry and Topology Core
MATH 750 Calculus on Manifolds  
or
  MATH 751 General Topology


Electives (15 credits, 5 courses)


Fifteen credits in mathematics and statistics to constitute a cohesive program. The student’s selection of elective courses must have advisor approval. The 600-level courses are intended as preparation. Due to the rotation schedule, however, a 700-level course may not be available to a student. A limited number of 600-level courses may be used as electives to ensure that students graduate in a timely fashion.

Comprehensive Examinations

Students must complete comprehensive examinations in four areas of mathematics during their final semester. Examinations in algebra and analysis are required, and the other two topics can be selected with an advisor's approval. A failed examination may be repeated. After two failures the student must have the approval of a committee formed by the department chair to review the case. The student may be allowed to repeat the exam or may be required to leave the program.

Language Examination

Students must exhibit a working knowledge of a foreign language by translating a mathematical passage into English.


For further information on the MA in Pure Mathematics, please contact Professor Rob Thompson: robert.thompson@hunter.cuny.edu
.


MASTER of ARTS in STATISTICS and APPLIED MATHEMATICS:

Admission Requirements

The general college admission requirements must be satisfied. These include the Graduate Record Examination and two letters of recommendation. In addition, the Department requires one semester of Linear Algebra (MATH 260) and one semester of Multivariate Calculus (MATH 250). The Department’s requirements are minimal. They are intended to encourage students without a previous specialization in mathematics to pursue a degree in statistics and applied mathematics.

Four program sequences are available for the MA in Statistics and Applied Mathematics -
Track I: Statistics, Track II: Applied Mathematics, Track III: Bioinformatics, and Track IV:  Mathematical Finance.

Track I: STATISTICS

Degree Requirements
Thirty credits (10 courses)*, chosen as described below:

Core Curriculum** (15 credits, 5 courses)

1. STAT 701 Advanced Probability Theory I
2. STAT 702 Advanced Probability Theory II
3. STAT 703 Mathematical Statistics
4. STAT 706 General Linear Models I
5. STAT 707 General Linear Models II

Electives (12 credits, 4 courses)

Twelve credits in statistics, computer science, mathematics, or relevant areas of application, selected to constitute a cohesive program. Typically, these courses are at the MATH 700 and/or STAT 700 level. Electives must be approved by the Graduate Statistics and Applied Mathematics Advisor.

Project (3 credits, 1 course)

STAT 790 Case Seminar
The student, guided by a member of the faculty, prepares a project in statistics. The student presents the results to faculty and students in a seminar during the student’s final semester. This replaces the comprehensive examination requirement.

Students must exhibit a working knowledge of two useful computer languages or data analysis packages. This replaces the foreign language requirement.
  Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS.  MATHEMATICA is used in Math 685, and R in Stat 706, 707, 715, 716, and 717.


For further information on the MA in Statistics, please contact the statistics advisor.


*The 30 credits (10 courses) must be approved by an advisor and constitute a concentration.
**Courses already taken as an undergraduate will satisfy specific course requirements but are not included in the 30-credit (10-course) total.


Track II: APPLIED MATHEMATICS

Degree Requirements
Thirty credits (10 courses)*, chosen as described below:

Core Curriculum** (15 credits, 5 courses)

1. MATH 68500 Numerical Methods 3.0 cr
2. STAT 70100 Advanced Probability Theory I 3.0 cr
3. STAT 78600 Modeling and Visualization 3.0 cr
4. One of:

  • MATH 74600 Theory of Functions of a Real Variable I 3.0 cr

  • MATH 74700 Theory of Functions of a Real Variable II 3.0 cr

5. One of:
  • MATH 72100 Modern Algebra I 3.0 cr

  • MATH 72500 Advanced Linear Algebra 3.0 cr

  • MATH 78500 Advanced Numerical Analysis, Finite Differences, and Collocation 3.0 cr

  • MATH 79562 Stochastic Optimization: Computation and Simulation 3.0 cr

  • Electives (12 credits, 4 courses)

    Twelve credits in statistics, computer science, mathematics, or relevant areas of application, selected to constitute a cohesive program. Typically, these courses are at the MATH 70000 and/or STAT 70000 level. Electives must be approved by the Graduate Applied Mathematics Advisor. Alternatives to required courses that were not selected may be used as electives.

    Suggested electives are:
    MATH 64200 Introduction to Theory of Functions of a Complex Variable 3.0 cr
    MATH 65400 Dynamical Systems and Chaos 3.0 cr
    MATH 78500 Advanced Numerical Analysis, Finite Differences, and Collocation 3.0 cr
    MATH 74700 Theory of Functions of a Real Variable II
    STAT 70300 Mathematical Statistics 3.0 cr
    STAT 70600 General Linear Models I 3.0 cr
    STAT 71500 Time Series Analysis 3.0 cr
    STAT 72200 Theory of Games 3.0 cr
    STAT 72600 The Theory and Methods of Sampling 3.0 cr
    STAT 73900 Bayesian Statistics 3.0 cr
    STAT 76100 Advanced Concepts in Financial Markets 3.0 cr
    STAT 78700 Statistical Models for Spatial Data 3.0 cr

    Project (3 credits, 1 course)

    STAT 790 Case Seminar

    The student, guided by a member of the faculty, prepares a project in applied mathematics. The student presents the results to faculty and students in a seminar during the student’s final semester. This replaces the comprehensive examination requirement.

    Also, the student must exhibit a working knowledge of two useful computer languages or data analysis packages. This replaces the foreign language requirement.   Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS.  MATHEMATICA is used in Math 68500, and R in Stat 70600, 70700, 71500, 71600, and 71700.


    For further information on the MA in Applied Mathematics, please contact Professor John Loustau: jloustau@msn.com.

    *The 30 credits (10 courses) must be approved by an advisor and constitute a concentration.
    **Courses already taken as an undergraduate will satisfy specific course requirements but are not included in the 30-credit (10-course) total.


    Track III: BIOINFORMATICS

    Additional Admission Requirements
    The Bioinformatics track allows students with career plans in the biomedical sciences and without a previous specialization in mathematics to pursue a degree in statistics and applied mathematics. In addition to the above departmental requirements for admission to the MA program in Statistics and Applied Mathematics, it is required that the student have an adequate undergraduate training in biological sciences, chemistry, or related fields, as well as strong computer programming skills. The following track requirements, or their equivalents, are the minimal requirements that the student must meet in order to enter the Bioinformatics track:
    1. One semester of introductory biology (BIOL 100 or equivalent)
    2. One year of general chemistry (CHEM 102-105 or equivalent)
    3. One semester of organic chemistry (CHEM 222 or equivalent)
    4. One semester of biological chemistry (BIOL 300 or equivalent)
    5. Familiarity with UNIX and database programming (CSCI 132-232 or equivalent)

    Degree Requirements
    Thirty credits (10 courses)*, from courses chosen as follows:

    Core Curriculum** (15 credits, 5 courses)

    1. STAT 701 Advanced Probability I
    2. STAT 703 Mathematical Statistics
    3. STAT 706 General Linear Models I
    4. STAT 716 Data Analysis -or- STAT 717 Multivariate Analysis
    5. STAT 739 Bayesian Statistics

    Electives (12 credits, 4 courses)

    Four graduate courses in biology, chemistry, or related fields. Those must constitute a cohesive curriculum in bioinformatics, and must be approved by the Graduate Bioinformatics Advisor.

    Suggested electives in the natural sciences are:
    ANTH 790 Biological Anthropology
    ANTH 793 Human Evolutionary Genetics
    BIOL 700.05 Genetics
    BIOL 710.13 Molecular Biology Lecture
    BIOL 750.03 Developmental Biology
    BIOL 790.49 Computational Molecular Biology
    CHEM 698.03 Chemical Genomics

    Project (3 credits, 1 course)

    STAT 790 Case Seminar
    The student, guided by a member of the faculty, prepares a project in bioinformatics. The student presents the results to faculty and students in a seminar during the student's final semester. This replaces the comprehensive examination requirement.

    Students must exhibit a working knowledge of two useful computer languages or data analysis packages. This replaces the foreign language requirement.  Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS.  MATHEMATICA is used in Math 685, and R in Stat 706, 707, 715, 716, and 717.


    For further information on the MA in Bioinformatics, please contact the statistics advisor.

    *The 30 credits (10 courses) must be approved by an advisor and constitute a concentration.
    **Courses already taken as an undergraduate will satisfy specific course requirements but are not included in the 30-credit (10-course) total.


    Track IV: MATHEMATICAL FINANCE

    Degree Requirements
    Thirty credits (10 courses) as described below.

    Required Core (24 credits, 8 courses)

    STAT 701 Advanced Probability Theory I
    STAT 702 Advanced Probability Theory II
    STAT 703 Mathematical Statistics
    MATH 685 Numerical Methods
    STAT/ECO 761 Advanced Concepts in Financial Markets
    STAT 762 Stochastic Models in Finance
    ECO 701 Microeconomic Theory
    ECO 760 Financial Economics

    Electives (3 credits, 1 course)

    ECO 711 Banking and Financial Markets
    ECO 721 Linear Econometric Analysis
    STAT 715 Time Series
    STAT 722 Theory of Games
    ECO 760 Games and Information

    Project (3 credits, 1 course)

    STAT 790 Case Seminar
    The student, guided by a member of the faculty, prepares a project in mathematical finance. The student presents the results to faculty and students in a seminar during the student’s final semester. This replaces the comprehensive examination requirement.

    Students must exhibit a working knowledge of two useful computer languages or data analysis packages. This replaces the foreign language requirement.   Typically, this is satisfied by learning and using R, MATHEMATICA, SPSS, or SAS.  MATHEMATICA is used in Math 685, and R in Stat 706, 707, 715, 716, and 717.


    For further information on the MA in Mathematical Finance, please contact the statistics advisor.




    TEACHER EDUCATION PROGRAMS in ADOLESCENT MATHEMATICS (Grades 7-12):

    Three graduate programs are available: an MA in adolescent mathematics education, an Advanced Certificate in mathematics, and Professional Certification in mathematics education.

    A. Master of Arts in Adolescent Mathematics Education


    This is a 41- to 42-credit MA program designed for individuals who completed an undergraduate major in mathematics but have little or no background in teacher education. The program is offered in collaboration with the School of Education and leads to New York State initial certification.

    Admission Requirements
    1. A bachelor’s degree from an accredited institution acceptable to Hunter College with an overall cumulative grade point average (GPA) of 3.0.
    2. 24 or more credits in mathematics approved by the mathematics education advisor, including a course in elementary statistics, a year of calculus, and a course in matrix algebra or linear algebra. Applicants may be admitted on the condition that they complete up to 12 credits of additional course work in mathematics. A transcript review will determine which additional credits, if any, are needed.
    3. A grade point average of at least 2.7 in mathematics courses.
    4. A general education core in the liberal arts and sciences to include the following in addition to math: 6 credits in English, 6 credits in a language other than English (3 years of high school study in the same foreign language with grades of C or better documented by a high school transcript will meet this requirement), 6 credits in social studies (to include at least one course in U.S. history or U.S. geography), 6 credits in science/technology, 3 credits in the arts.

    Degree Requirements

    Education (26-27 credits)

    See the School of Education section of the graduate catalog for specification of courses.

    Mathematics (15 credits)

    MATH 620 Secondary School Mathematics from an Advanced Perspective I
    MATH 630 Secondary School Mathematics from an Advanced Perspective II
    MATH 633* Axiomatic Geometry
    MATH 635* Problem Solving Explorations in Mathematics
    STAT 612*/** Discrete Probability  or  STAT 614*/** Data Analysis Using Statistical Software

    Comprehensive Examination

    Also required is passing a comprehensive examination in mathematics consisting of three parts covering the material in MATH 620, 630 and 633. Students may sit for the comprehensive examination only after having taken all three courses. Students who fail any part of the examination need only retake that part of the examination. A student can take any part of the comprehensive exam in mathematics twice; after that, a committee formed by the Mathematics/Statistics Chairperson and consisting of members from the Department of Mathematics and Statistics and the Department of Curriculum and Teaching, will decide if the student can take the exam a third and final time.

    *With approval of the graduate mathematics adviser, students who have had substantial coverage of a given area within an undergraduate curriculum may be allowed to replace a course or courses in this category with electives, preferably elective courses at a more advanced level in the same area.
    **Although students are required to take EITHER STAT 612 OR STAT 614, students are encouraged to take both courses.

    B. Advanced Certificate in Mathematics


    The School of Education offers an Advanced Certificate Program in Mathematics Education that leads to initial certification. This program is designed for individuals who already have a master’s degree in mathematics, but who need the appropriate pedagogical preparation for teaching mathematics in grades 7-12. For more information, go to:
    http://hunter.cuny.edu/school-of-education/programs/graduate/adolescent/mathematics. If the link does not work, please copy the address in the URL box.

    C. Professional Certification in Mathematics Education

    This master’s degree in mathematics education is designed for teachers who already hold New York State certification in mathematics 7-12. The program meets the academic requirements for professional certification in mathematics 7-12. Graduates of the program also need to have completed three years of full-time teaching in order to obtain professional certification. For more information, go to: http://hunter.cuny.edu/school-of-education/programs/graduate/adolescent/mathematics. If the link does not work, please copy the address in the URL box.

    For further information on the graduate programs in Adolescent Mathematics Education,
    please contact Dr. Patrick Burke, pburke@hunter.cuny.edu  .

 


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Department of Mathematics and Statistics

last updated 08/18/21

by Rob Thompson
Department of Mathematics and Statistics

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Hunter College
Department of Mathematics and Statistics
Room 919/944 East
695 Park Avenue
New York, NY 10065
Phone: 212-772-5300
http://math.hunter.cuny.edu