Department of Mathematics
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Courses

The department offers courses leading to a Bachelor of Science or a Bachelor of Arts Degree in Mathematics. A flowchart of the courses required or counting towards undergraduate math degrees is available [HERE].

In addition the department offers introductory courses to prepare undergraduate students for programs in premedical studies, management, the social sciences, and the natural sciences. A flowchart of the 100-and 200-level math courses is available [HERE].

The department offers graduate courses:

  • 500-level courses, oriented specifically towards the needs of secondary teachers of mathematics. These courses are suitable for fulfillment of the Graduate College of Education's Content Core Requirement for the M. Ed. in Secondary Mathematics.
  • 600-level courses, designed for a proposed new interdisciplinary graduate program, Ph.D. in Computational Sciences.
Course Number Course Title Credits Prerequisites Comments Sample Materials
MATH 114 Quantitative Reasoning 3 Math Placement Test. Degree students only
MATH 115 College Algebra 3 Math Placement Test or MATH 125. Designed primarily but not exclusively for students seeking a stronger foundation in algebra before taking MATH 129 or MATH 130. Sample Materials
MATH 125 Introductory Statistics 3 Math Placement Test or MATH 114Q or 115 or 124 or 129 or 130 or 140. Sample Materials
MATH 129 Precalculus for Management and Social Sciences 3 Math Placement Test or MATH 115 with a grade of B or better in the previous semester. Students intending to take Calculus I and II (MATH 140 and 141) should take MATH 130 instead of MATH 129. Students may take MATH 130 after MATH 129, but only with the explicit permission of the department, and then only for two credits. Sample Materials
MATH 130 Precalculus 3 Math Placement Test or MATH 115 with a grade of B or better in the previous semester. No student receives graduation credits for MATH 130 if it is taken after successful completion of any higher math course. Students who have successfully completed MATH 130 may not subsequently take MATH 129 for credit. Students may take MATH 130 after MATH 129 only with explicit permission of the department, and then only for two credits. Sample Materials
MATH 134 Managerial Calculus 3 Math Placement Test or successful completion of MATH 129 or MATH 130. Students may not receive graduation credit for both MATH 134 and MATH 135. Students may take MATH 140 after MATH 134, but only with the explicit permission of the department and then only for two credits. Sample Materials
MATH 135 Survey of Calculus 3 Math Placement Test or MATH 130. No student receives graduation credit for MATH 135 if it is taken after successful completion of MATH 134 or 140 or a higher Math course. Students may take MATH 140 after 135 only with explicit permission of the Department, and then only for two credits.
MATH 140 Calculus I 4 Math Placement Test or completion of MATH 130 within the past semester with a grade of B or higher. A student who has received credit for either MATH 134 or MATH 135 may not take MATH 140 for credit without the explicit permission of the department and then only for two credits. Sample Materials
MATH 141 Calculus II 4 MATH 140 with grade of C- or better or MATH 145 with grade of C- or better. Because MATH 141 is the second part of a three-semester calculus sequence, it should be taken as soon as possible after MATH 140. Sample Materials
MATH 145 Calculus I for Life and Environmental Sciences 4 Math Placement Test or a grade of B or better in MATH 130 in the previous semester. Students who complete this course will be eligible for MATH 141, or MATH 146, as well as MATH 303.
MATH 146 Calculus II for Life and Environmental Sciences 4 MATH 140 or MATH 145. This course does not fulfill the Calculus II (Math 141) requirement and does not serve as a prerequisite for Multivariable Calculus (Math 240). This course satisfies the following GenEd requirements: Quantitative Reasoning, Distribution II: MT.
MATH 240 Multivariable Calculus 3 MATH 141. Because MATH 240 is the final part of a three-semester calculus sequence, it should be taken as soon as possible after MATH 141. No student receives graduation credit for MATH 240 if it is taken after successful completion of MATH 242. Students may take MATH 242 after MATH 240 only with the explicit permission of the Department and then only for one credit.
MATH 242 Multivariable and Vector Calculus 4 MATH 141. Because MATH 242 is the final part of a three-semester calculus sequence, it should be taken as soon as possible after MATH 141. No student receives graduation credit for MATH 240 if it is taken after successful completion of MATH 242. Students may take MATH 242 after MATH 240 only with the explicit permission of the Department and then only for one credit.
MATH 260 Linear Algebra 3 MATH 140. Sample Materials
MATH 280 Introduction to Proofs 3 MATH 141. Sample Materials
MATH 303 Introduction to Mathematical Biology 3 MATH 140.
MATH 310 Applied Ordinary Differential Equations 3 [MATH 240] AND [MATH 260 or PHYSICS 114].
MATH 320L Applied Discrete Mathematics 3 CS110 and MATH 260; or permission of instructor.
MATH 345 Probability and Statistics I 3 MATH 141 or permission of instructor. Sample Materials
MATH 346 Probability and Statistics II 3 MATH 345. Sample Materials
MATH 350 Applied Partially Differential Equations 3 MATH 240 and MATH 260 and MATH 310.
MATH 354 Vector Calculus 3 MATH 240 and MATH 260.
MATH 356 Differential Geometry 3 MATH 242 and MATH 260.
MATH 358 Complex Analysis 3 MATH 240 or MATH 354.
MATH 360 Abstract Algebra I 3 MATH 260. Course offered in the fall only.
MATH 361 Abstract Algebra II 3 MATH 360. Course is offered in the spring only.
MATH 370 History of Mathematics 3 Junior standing in mathematics or permission of instructor.
MATH 380 Introduction to Computational Algebraic Geometry 3 MATH 260 Sample Materials
MATH 384L Game Theory and Evolution 3
MATH 390 Problem Solving Seminar 3 MATH 280 or permission of instructor. Although this course is repeatable up to six credits, Mathematics majors (who are required to take a certain number of mathematics courses at the 300-level or higher) may count this course at most once toward their upper-level elective requirement. Sample Materials
MATH 420 Introduction to Combinatorics 3 [MATH 141 and MATH 260] or Permission of Instructor.
MATH 425 Numerical Analysis 3 MATH 141 and MATH 260.
MATH 440 General Topology 3 MATH 360 or permission of instructor.
MATH 447 Probability Models 3 MATH 345.
MATH 448 An Introduction to Statistical Learning 3 [MATH 260 and MATH 345 and CS 110] or Permission of Instructor.
MATH 450 Real Analysis 3 [MATH 310 or MATH 354] AND [MATH 280] Course offered in the spring only.
MATH 454 Analysis on Manifolds 3 Math 242 and Math 260
MATH 458 Theory of Numbers 3 MATH 260 or MATH/CS 320L or equivalent.
MATH 460 Topics in Geometry 3 MATH 260.
MATH 470 Mathematical Logic 3 MATH 360 or MATH/CS 320L, or equivalent.
MATH 478 Independent Study 3 Permission of instructor.
MATH 480 Special Topics 3 Permission of instructor. Sample Materials
MATH 490 Thesis Research 1-6 Permission of Instructor. Although this course is repeatable up to six credits, Mathematics majors (who are required to take a certain number of mathematics courses at the 300-level or higher) may count this course at most once toward their upper-level elective requirement.
MATH 540 Geometry I for Secondary Teachers 3
MATH 545 Probability and Statistics I for Secondary Teachers 3 BA/BS degree in Mathematics.
MATH 550 Analysis I for Secondary Teachers 3 BA/BS degree in Mathematics.
MATH 551 Analysis II for Secondary Teachers 3 MATH 550
MATH 560 Abstract Algebra I for Secondary Teachers 3
MATH 570 History of Mathematics for Secondary Teachers 3
MATH 597 Special Topics 1-6
MATH 620 Combinatorial Analysis 3 Permission of Instructor.
MATH 625 Numerical Analysis I 3 Permission of Instructor.
MATH 626 Numerical Analysis II 3 Math 625.
MATH 640 Computational Algebraic Topology 3 Permission of Instructor.
MATH 642 Probabilistic Simulation 3
MATH 647 Probability Models 3 Permission of Instructor.
MATH 648 Statistical Learning 3 Permission of Instructor.
MATH 673 Structure and Dynamics of Complex Networks I: Structural Properties 3 Permission of Instructor.
MATH 674 Structure and Dynamics of Complex Networks II: Dynamical Processes 3 MATH 673
MATH 677 Symbolic Computation 3 Permission of Instructor.
MATH 680 Introduction to Computational Algebraic Geometry 3 Permission of Instructor.
MATH 696 Independent Study 3


  Logo - Mathematics Department Department of Mathematics
University of Massachusetts Boston
Phone: 617-287-6460;   Fax: 617-287-6433
Information: math-info@math.umb.edu