The curriculum in mathematical sciences promotes understanding of the mathematical sciences and their structures, uses and relationships to other disciplines. To this end, the scholarly growth of the faculty and students in the mathematical sciences is nurtured through study, research and a high standard of teaching. The curriculum provides a sound foundation for the student seeking to enter a career with a technological orientation or for the student who wishes to pursue graduate study in applied mathematics, biomathematics, mathematics, operations research, statistics, teaching mathematics in secondary schools or related fields.

A Bachelor of Science is offered jointly by the Department of Mathematics and Applied Mathematics and the Department of Statistical Sciences and Operations Research. In the Department of Mathematics and Applied Mathematics, students pursuing the Bachelor of Science in Mathematical Sciences can choose a concentration of mathematics, which fosters the understanding of the power and the beauty of pure mathematics and its applications to various branches of knowledge.

Student learning outcomes

Upon completing this program, students will know how to do the following:

Bachelor of Science in Mathematical Sciences core outcomes

  • Solve mathematical problems
  • Solve and interpret mathematical problems which originate from applications outside of mathematics
  • Use technology to solve and/or explore mathematics problems

Mathematics concentration-specific outcomes

  • Write mathematics (not including mathematical proofs) clearly, concisely and correctly
  • Write mathematical proofs clearly, concisely and correctly
  • Read and comprehend mathematical works
  • Will collaborate in projects
  • Make effective presentations to demonstrate their understanding of mathematical ideas
  • Write prose about mathematics
  • Construct mathematical proofs about advanced topics in pure mathematics at an undergraduate level
 

Special requirements

The B.S. in Mathematical Sciences requires a minimum of 120 credits. Along with the general education requirements of the College of Humanities and Sciences and the undergraduate degree requirements, students are required to take core courses and fulfill specific requirements for the degree.

Based on the results of the Mathematics Placement Test, students may be required to take MATH 151. No more than one course in mathematics (MATH) at the 100 level can count for the general requirements toward the degree. Credit for 100-level mathematical sciences courses cannot be applied toward the mathematical sciences courses required for the major in mathematical sciences.

Double major

Students who meet the requirements for two of the concentrations within the mathematical sciences curriculum can receive a double major. To initiate a double major, students must obtain the appropriate form from the Office of Records and Registration.

Second baccalaureate degree

For students possessing a bachelor’s degree and wishing to gain undergraduate preparation in an area of mathematical sciences, second baccalaureate degrees are offered through the department. For detailed information about these programs, refer to the “Academic regulations and general degree requirement” section of this bulletin.

Degree requirements for Mathematical Sciences, Bachelor of Science (B.S.) with a concentration in mathematics

Course Title Hours
General education
Select 30 credits of general education courses in consultation with an adviser.30
Major requirements
• Major core requirements
MATH 201Calculus with Analytic Geometry II 14
MATH 307Multivariate Calculus 14
MATH 310Linear Algebra 13
• Additional major requirements
MATH 255Introduction to Computational Mathematics3
or CMSC 245 Introduction to Programming Using C++
or EGRE 245 Engineering Programming
MATH 300Introduction to Mathematical Reasoning 13
MATH 407Real Analysis3
MATH 490Mathematical Expositions3
• Concentration requirements
MATH 301Differential Equations 13
MATH 350Introductory Combinatorics3
or MATH 356 Graphs and Algorithms
MATH 401Introduction to Abstract Algebra3
MATH 409General Topology3
MATH 427Excursions in Analysis: Real3
or MATH 428 Excursions in Analysis: Complex
or MATH 429 Excursions in Analysis: Applied
Concentration electives 20-6
Ancillary requirements
HUMS 202Choices in a Consumer Society1
MATH 200Calculus with Analytic Geometry I (satisfies general education quantitative foundations) 14
STAT 212Concepts of Statistics3
Experiential fine arts 31-3
Foreign language through the 102 level (by course or placement)0-6
Natural science sequence: Select one sequence from list below (satisfies general education BOK for natural sciences and AOI for scientific and logical reasoning)8-10
Natural science elective (different from chosen science sequence)3-5
Open electives
Select any course.21-39
Total Hours120
1

These courses/credits require a minimum grade of C.

2

Six additional upper-level credits in the mathematical sciences (MATH, STAT, OPER, CMSC) or the completion of a minor or a double major.

3

Course offered by the School of the Arts

The minimum number of credit hours required for this degree is 120.

Natural science sequence

Course Title Hours
Select one of the following sequences:8-10
Sequence 1
BIOL 151Introduction to Biological Sciences I (satisfies general education BOK for natural sciences and AOI for scientific and logical reasoning)3
BIOZ 151Introduction to Biological Science Laboratory I1
BIOL 152Introduction to Biological Sciences II3
BIOZ 152Introduction to Biological Science Laboratory II1
Sequence 2
CHEM 101General Chemistry I (satisfies general education BOK for natural sciences and AOI for scientific and logical reasoning)3
CHEZ 101General Chemistry Laboratory I (satisfies general education AOI for scientific and logical reasoning)1
CHEM 102General Chemistry II3
CHEZ 102General Chemistry Laboratory II1
Sequence 3
PHYS 201General Physics I (satisfies general education BOK for natural sciences and AOI for scientific and logical reasoning)4
PHYS 202General Physics II4
Sequence 4
PHYS 207University Physics I (satisfies general education BOK for natural sciences and AOI for scientific and logical reasoning)5
PHYS 208University Physics II5

What follows is a sample plan that meets the prescribed requirements within a four-year course of study at VCU. Please contact your adviser before beginning course work toward a degree.

Freshman year
Fall semesterHours
MATH 200 Calculus with Analytic Geometry I (satisfies general education quantitative foundations) 4
UNIV 101 Introduction to the University 1
UNIV 111 Play VideoPlay course video for Focused Inquiry I Focused Inquiry I (satisfies general education UNIV foundations) 3
General education course (select AOI in consultation with adviser) 3
General education course 3
 Term Hours: 14
Spring semester
HUMS 202 Choices in a Consumer Society 1
MATH 201 Calculus with Analytic Geometry II 4
STAT 212 Concepts of Statistics 3
UNIV 112 Play VideoPlay course video for Focused Inquiry II Focused Inquiry II (satisfies general education UNIV foundations) 3
Experiential fine arts 1-3
General education course (select AOI in consultation with adviser) 3
 Term Hours: 15-17
Sophomore year
Fall semester
MATH 255 Introduction to Computational Mathematics 3
MATH 300 Introduction to Mathematical Reasoning 3
MATH 307 Multivariate Calculus 4
UNIV 200 Advanced Focused Inquiry: Literacies, Research and Communication (satisfies general education UNIV foundations) 3
Foreign language 101 3
 Term Hours: 16
Spring semester
MATH 301 Differential Equations 3
MATH 310 Linear Algebra 3
Foreign language 102 3
General education course (select BOK to complete breadth of knowledge requirement) 3
General education course (select BOK to complete breadth of knowledge requirement) 3
 Term Hours: 15
Junior year
Fall semester
MATH 407 Real Analysis 3
Natural sciences sequence (select one of the following) (satisfies general education BOK for natural sciences and AOI for scientific and logical reasoning) 4-5
BIOL 151
BIOZ 151
Introduction to Biological Sciences I
and Introduction to Biological Science Laboratory I
-
CHEM 101
CHEZ 101
General Chemistry I
and General Chemistry Laboratory I
-
PHYS 201 General Physics I -
PHYS 207 University Physics I -
Open electives 7
 Term Hours: 14-15
Spring semester
MATH 427
Excursions in Analysis: Real
or Excursions in Analysis: Complex
or Excursions in Analysis: Applied
3
Concentration elective (upper level) 3
Natural sciences sequence (Select one of the following with appropriate matching course.) 4-5
BIOL 152
BIOZ 152
Introduction to Biological Sciences II
and Introduction to Biological Science Laboratory II
-
CHEM 102
CHEZ 102
General Chemistry II
and General Chemistry Laboratory II
-
PHYS 202 General Physics II -
PHYS 208 University Physics II -
Open electives 6
 Term Hours: 16-17
Senior year
Fall semester
MATH 401 Introduction to Abstract Algebra 3
MATH 409 General Topology 3
Natural sciences elective 1 3-5
Open electives 6
 Term Hours: 15-17
Spring semester
MATH 350
Introductory Combinatorics
or Graphs and Algorithms
3
MATH 490 Mathematical Expositions 3
Concentration elective (upper-level) 3
Open electives 6
 Term Hours: 15
 Total Hours: 120-126
1

Different science than chosen for sequence.

The minimum number of credit hours required for this degree is 120.

 

Accelerated B.S. and M.S.

The accelerated B.S. and M.S. program allows qualified students in the mathematics concentration to earn both the B.S. in Mathematical Sciences and the M.S. in Mathematical Sciences with a concentration in mathematics in a minimum of five years by completing approved graduate courses during the senior year of their undergraduate program. Students in the program may count up to 12 hours of graduate courses toward both the B.S. and M.S. degrees. Thus, the two degrees may be earned with a minimum of 138 credits rather than the 150 credits necessary if the two degrees are pursued separately.

Students holding these degrees are better prepared for a career in a technical industry, for a career in teaching and/or for further studies in a quantitative Ph.D. program, such as mathematics, data sciences or statistics. An accelerated B.S. and M.S. degree in Mathematics offers a direct pathway toward high-paying positions in big tech companies and financial institutions. Over the past decade, the increasingly competitive application process for Ph.D. programs in mathematics has made it extremely difficult for students holding only a B.S. degree to be admitted. On the other hand, students graduating from VCU with a master’s in mathematical sciences have a history of getting into highly rated Ph.D. programs, often with generous funding.

Entrance to the accelerated program

Interested undergraduate students should consult with their adviser as early as possible to receive specific information about the accelerated program, determine academic eligibility and submit (no later than two semesters prior to graduating with a baccalaureate degree, that is, before the end of the spring semester of their junior year) an Accelerated Program Declaration Form to be approved by the graduate program director. Limited spaces may be available in the accelerated program. Academically qualified students may not receive approval if capacity has been reached.

Minimum qualifications for entrance to this accelerated program include completion of 90 undergraduate credit hours, including STAT 212MATH 255MATH 301MATH 307MATH 310 and MATH 407; an overall GPA of 3.0; and a GPA of 3.0 in mathematics course work. Students who do not meet the minimum GPA requirements may submit general GRE scores to receive further consideration. Students who are interested in the accelerated program should consult with the faculty adviser to the Mathematical Sciences M.S. program before they have completed 90 credits. Successful applicants would enter the program in the fall semester of their senior year.

Once enrolled in the accelerated program, students must meet the standards of performance applicable to graduate students as described in the “Satisfactory academic progress” section of the Graduate Bulletin, including maintaining a 3.0 GPA. Guidance to students admitted to the accelerated program is provided by both the undergraduate mathematics adviser and the faculty adviser to the graduate program.

Admission to the graduate program

Entrance to the accelerated program enables the student to take the approved shared courses that will apply to the undergraduate and graduate degrees. However, entry into an accelerated program via an approved Accelerated Program Declaration Form does not constitute application or admission into the graduate program. Admission to the graduate program requires a separate step that occurs through a formal application to the master’s program, which is submitted through Graduate Admissions no later than a semester prior to graduation with the baccalaureate degree, that is, before the end of the fall semester of the senior year. In order to continue pursuing the master’s degree after the baccalaureate degree is conferred, accelerated students must follow the admission to graduate study requirements outlined in the VCU Bulletin. One of the three required reference letters must come from a Department of Mathematics and Applied Mathematics faculty member.

Degree requirements

The Bachelor of Science in Mathematical Sciences degree (with a concentration in either applied mathematics or biomathematics) will be awarded upon completion of a minimum of 120 credits in undergraduate program credits and the satisfactory completion of all undergraduate degree requirements as stated in the Undergraduate Bulletin.

Students must pass a comprehensive exam in the core courses and selected elective courses determined by the Department of Mathematics and Applied Mathematics.

A maximum of 12 graduate credits may be taken prior to completion of the baccalaureate degree. These graduate credits may substitute for major requirements and required major electives for the undergraduate degree and are shared with the graduate program, meaning that they will be applied to both undergraduate and graduate degree requirements.

The graduate mathematics courses that may be taken as an undergraduate once a student is admitted to the program are below.

Course Title Hours
MATH 502Abstract Algebra I3
or MATH 610 Advanced Linear Algebra
MATH 507Bridge to Modern Analysis3
MATH 550Combinatorics3
or MATH 602 Abstract Algebra II
MATH 556Graph Theory3

Recommended course sequence/plan of study

What follows is the recommended plan of study for students interested in the accelerated program beginning in the fall of the junior year prior to admission to the accelerated program in the senior year.

Course Title Hours
Junior year
Fall semester
MATH 401Introduction to Abstract Algebra3
MATH 407Real Analysis3
Experiential fine arts1-3
General education course3
Natural science sequence4-5
Term Hours:14-17
Spring semester
MATH 427Excursions in Analysis: Real3
or MATH 428 Excursions in Analysis: Complex
or MATH 429 Excursions in Analysis: Applied
Concentration elective3
General education course3
Natural science sequence4-5
Open elective3
Term Hours:16-17
Senior year
Fall semester
MATH 502Abstract Algebra I3
or MATH 610 Advanced Linear Algebra
MATH 507Bridge to Modern Analysis3
MATH 556Graph Theory3
Natural science elective3-5
Open elective3
Term Hours:15-17
Spring semester
MATH 490Mathematical Expositions3
MATH 550Combinatorics3
or MATH 602 Abstract Algebra II
Concentration elective3
Open electives6
Term Hours:15
Fifth year
Fall semester
MATH 502Abstract Algebra I3
or MATH 610 Advanced Linear Algebra
Math electives (600 to 700-level)6
Term Hours:9
Spring semester
MATH 550Combinatorics3
or MATH 602 Abstract Algebra II
MATH 607Measure and Integration Theory3
or MATH 707 Functional Analysis I
MATH 656Advanced Graph Theory3
MATH 690Research Seminar2
Term Hours:11