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Undergraduate Programs at UMass Dartmouth, Department of Mathematics

The Undergraduate Program in Mathematics

General Information
Mathematics major, BA degree
Requirements
Electives
Mathematics major, BS degree
Mathematics major, Computational Mathematics Option
Requirements
Mathematics minor

General Information

Mathematics can be pursued as a scholarly discipline of an especially elegant kind - a creative art form - or it can be treated as a valuable tool in an applied discipline.

The program for mathematics majors is designed to provide a solid foundation in the theoretical and applied aspects of mathematics necessary for a variety of professional careers. The flexibility within the third and fourth years was established to enable mathematics majors to concentrate in areas of their interest. The Computational Mathematics Program (COMP) is designed for those seeking positions in industry or with the government. The program emphasizes applied and computer mathematics. Students can choose their curricula so as to emphasize that role of mathematics which will be useful to them in later years. For example, students may use our offerings as preparation for

  • secondary school teaching;
  • graduate school in mathematics, applied mathematics, or computer science;
  • a career in applied mathematics in either the public or private sector;
  • graduate school in an area that uses mathematics, such as economics, biology or psychology.

Some mathematics majors have had success in law school, pharmaceutical school, and medical school.

The Department offers both a major and a minor program.

The need for K-12 teachers in the areas of mathematics and science is great in the region. Mathematics is a strong major for future teachers. The Mathematics Department participates in UMass Dartmouth's programs to prepare teachers who are highly qualified, helping provide opportunities for students to receive both initial and professional licensure. Specifically, the department supports students who seek initial licensure as a Teacher of Mathematics (5-8) (8-12) through the MAT program. Students should indicate their interest both to their Mathematics major advisor and to an advisor in UMass Dartmouth's Educatoin Department, to plan to take appropriate prerequisite and enrichment courses.

Student Learning Outcomes

  1. Content knowledge and skills: Students possess specific technical/analytical skills and conceptual understanding in core areas of mathematics including calculus, linear algebra, combinatorics, differential equations, advanced calculus (analysis) & modern algebra.
  2. Context and modeling: Students connect different areas of mathematics with other disciplines; they effectively use the interplay between applications and problem-solving, applying what they know from one realm to answer questions from another. Students use concepts and skills from the core areas to formulate mathematical models and solve multi-step problems. Students demonstrate knowledge of a discipline making significant use of mathematics.
  3. Mathematical rigor: Students are able to reason rigorously in mathematical arguments. They can follow abstract mathematical arguments and write their own proofs.
  4. Communication: Students are able to communicate mathematics: reading, writing, listening, and speaking. Students make effective use of the library, conduct research and make oral and written presentations of their findings.
  5. Computers: Students are able to write programs or use mathematical software to explore, visualize, and solve mathematical problems and to verify analytical calculations.
  6. Flexible problem solving: Students are able to transfer facts, concepts, and skills learned in a given context to solve problems in novel settings.

 

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Mathematics major, BA degree

At the end of the sophomore year, students, aided by their faculty advisors, should plan a course of study for the completion of the college program.

The advanced courses selected during the third and fourth years should be consistent with the students' interests and goals.

Students must earn a grade of C- or higher in all mathematics courses taken at the 200 or higher level in all undergraduate mathematics degree programs.

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Requirements

  Semester Credits 
     First  Second
 First Year
     
 MTH 111, 112 Analytic Geometry and Calculus I & II  4  4
 ENL 101, 102  Critical Writing and Reading I, II  3 3
   Humanities, Social Science or
 Free Electives
6 6
 MTH 181, 182 Discrete Structures 3 3
     16  16
 Second Year
     
 MTH 211  Analytic Geometry and Calculus III  4  
 MTH 212  Differential Equations    3
 MTH 221  Linear Algebra  3  
 MTH 204  Experiments in Computational Mathematics  3  
 PHY 113, 114  Classical Physics  4  4
   Literature  3  3
   Humanities, Social Science or
 Free Electives
   6
     17 16
 Third Year
     
 MTH 311  Advanced Calculus I  3  
 MTH 312  Advanced Calculus II    3
   Mathematics Electives  3  3
   Humanities or Social Science Electives  3  3
   Free Electives  6  6
     15  15
 Fourth Year      
 MTH 441  Modern Algebra  3  
   Mathematics Electives  3 3
   Humanities or Social Science  3  3
   Free Electives  4 6
     13  12
     Total Credits:
 120

General Education Departmental Requirements

Students majoring in Mathematics will meet their departmentally-determined General Education requirements as follows:

Area E: Students select a course from approved list
Area I, Tier 2: Students select a course from approved list
Area W, Tier 2: Students select a course from approved list
Area O: Students select a course from approved list

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Electives

   code*
 MTH 302  Theory of Numbers  T
 MTH 310  Modern Methods in Mathematics Teaching  T
 MTH 311, 312  Advanced Calculus I, II  T, G, A
 MTH 331  Probability  A, G
 MTH 332  Mathematical Statistics  A, G
 MTH 353  Applied Linear Algebra  A
 MTH 361, 362  Numerical Analysis I, II  A, G
 MTH 381  Combinatorial Theory  A, G
 MTH 382  Graph Theory  A, G
 MTH 421  Complex Variables  A, G
 MTH 441, 442  Modern Algebra I, II  A, G
 MTH 443  Applied Modern Algebra  A, G
 MTH 451  Differential Geometry  G
 MTH 452  Higher Geometry  G, T
 MTH 461  Elementary Topology  G
 MTH 463  Math Models  A
 MTH 471  Partial Differential Equations  A, G
 MTH 472  Numerical Methods for Partial Differential Equations  A, G
 MTH 473  Numerical Linear Algebra  A, G
 MTH 474  Numerical Optimization  A, G
 MTH 487  Math Inquiry I  T, G
 MTH 488  Math Inquiry II  T, G
 MTH 489  Selected Topics in Math  T, G
 *code
T-
recommended for students preparing to teach
G-recommended for students preparing for graduate school
A-recommended for students in applied mathematics

 

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Mathematics major, BS degree

Students may elect to earn a Bachelor of Science degree provided that they complete the requirements for the BA degree and also take an additional six credits of Natural Science (but only courses that the science departments themselves would credit to a major in their areas). The humanities/social science requirements for the BS degree are a combined total of eighteen credits. At least six must be taken from each area.

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Mathematics major, Computational Mathematics Option
BS Degree

In order to meet the needs of our present-day computer-oriented society, the Mathematics Department presently offers an alternative to the mathematics major program of study-a computational mathematics program leading to the BS degree in Mathematics. This program requires a core of computer science courses and emphasizes the applied mathematics areas more than the mathematics program. This program allows the student a large choice of electives within the context of computational/applied mathematics. The student can thus pursue his or her special interests in any particular phase of computational/applied mathematics.

The program has virtually the same freshman and sophomore years as the other programs in mathematics, computer and information science, computer engineering and electrical engineering. This allows a student to find his or her interests and make a final choice from among these before the end of the second year without any loss of time.

A BS degree in Mathematics (COMP) allows the student to enter graduate programs that specialize in computer-oriented mathematics or enter industrial employment where physical and industrial problems are analyzed mathematically.

The program offers a large choice of electives within the context of computational/applied mathematics. The student can thus pursue his or her special interests in any particular phase of applied mathematics.

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Requirements

   Semester Credits
     First Second
 First Year
     
MTH 111, 112 Analytical Geometry and Calculus I, II  4  4
 ENL 101, 102 Critical Writing and Reading I, II  3  3
  Humanities/Social Science Electives  6  6
 MTH 181, 182 Discrete Structures I, II  3  3
     16  16
 Second Year
     
 MTH 211  Analytical Geometry and Calculus III  4  
 MTH 212  Differential Equations    3
 MTH 221  Linear Algebra  3  
 MTH 204  Experiments in Computational Mathematics  3  
 MTH 280  Introduction to Scientific Programming    3

 CIS 215
 CIS 180
 CIS 261

 Computer Programming-C
 Object-oriented Programming
 Fortran Programming
   3
PHY 113, 114  Classical Physics I, II  4  4
   Humanities/Social Science Electives    3
     14  16
 Third Year
     
 MTH 361, 362  Numerical Analysis I, II  3  3
 MTH 353  Applied Linear Algebra    3
   Science Electives *  3  3
   Free Electives  3  3
   Literature  3  3
   Humanities/Social Science Electives  3  3
     15  15
 Fourth Year
     
 MTH 331  Probability  3  
 MTH 332  Mathematical Statistics    3
 MTH 471  Partial Differential Equations  3  
   Computational Mathematics**    3
   Technical Electives ***  3  3
   Free Electives  6  6
     15  15
     Total Credits:
122
*
The Science Elective is defined as any course in
Biology, Chemistry, Physics, or Medical Laboratory Science
which is accepted for credit by majors in those programs.
**
The Computational Mathematics elective is any one
of the numerical Mathematics courses
MTH 472, 473, or 474.
***
The Technical Elective is defined as any upper-division Mathematics
or Computer and Information Sciences course.

Students must receive a grade of C- or higher in all Mathematics courses,
technical electives, and required Physics and CIS courses.

 

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Mathematics minor

The minor in mathematics comprises a central core of required courses followed by opportunities for advanced work and some specialization. Any student of the university is eligible for the designation "Minor in Mathematics" upon completion of the following requirements. Each course for the minor must be completed with a grade of C- or better, and the student must maintain at least a C average (2.0 GPA) in the minor program.

Requirements

   Credits
 MTH 111 Analytic Geometry and Calculus I 4
 MTH 112 Analytic Geometry and Calculus II  4
 MTH 211 Analytic Geometry and Calculus III  4
   At least one of the following courses:
 MTH 212 Differential Equations  3
 MTH 221 Linear Algebra  3
At least three additional three-credit courses,
numbered 300 or higher
9
                                    Total:  24

 

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