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Course Criteria
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3.00 Credits
An historical survey of mathematical ideas (arithmetic, geometry, algebra) in various cultural contexts. The emphasis is on the mathematical content. Note: This course is not available for credit to students who have had MATH 130 or its equivalent. These students are referred, instead, to MATH 280. Prerequisite: LBST 100.
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3.00 Credits
A survey of problems of social conflict, fairness, and uses of mathematics in the modern world, emphasizing mathematical analysis of political and social structures. Topics may include voting methods, power distributions, apportionment, fair division, graph theory, coding theory, and scheduling problems.
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3.00 Credits
Study of algebraic, trigonometric, exponential and logarithmic functions within the context of mathematical modeling.
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3.00 Credits
Study of limits, differentiation, and integration of functions of one variable. Prerequisite: MATH 120 or its equivalent.
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3.00 Credits
Further aspects of integration of functions of one variable. Infinite series. Prerequisite: MATH 130 or advanced placement.
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1.00 Credits
Practical sessions in solving challenging problems in mathematics (possible sources: periodicals, problem collection books, or Putnam exams). The class meets biweekly to discuss solutions and receive new assignments. Most problems are solved between sessions, individually or in groups. A student receives one course credit after four semesters of successful problem solving. Prerequisite: MATH 130 or MATH 140 or consent of instructor.
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3.00 Credits
An introduction to some of the mathematical and statistical methods used in the analysis of social and natural scientific phenomena with an emphasis on the interpretation of experimental and survey data. Topics include elementary and combinatorial designs, basic statistical methods, correlation and inference, and regression analysis. Applications to the students' major disciplines will be included throughout the course as well as in a culminating project. (This course will not satisfy any requirements for a major or minor in mathematics. Students may not receive credit for both this course and another introductory statistics course such as PSYC 290 or BUSI 250.) Prerequisite: Sophomore standing or higher.
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3.00 Credits
Vectors and coordinate systems in two and three dimensions, vector-valued functions, functions of several variables, extrema, multiple integrals, vector fields, including fundamental theorems of vector calculus. This course will have an emphasis on developing geometric intuition. Offered in alternate years. Prerequisite: MATH 140 or consent of instructor.
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3.00 Credits
An introduction to the discrete paradigm in mathematics and computer science. Topics include induction, recursion, logic, algorithmic problem-solving, graph theory, number theory, and counting techniques. Prerequisite: MATH 130 or consent of instructor.
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3.00 Credits
Study of ordinary differential equations and systems of equations, through the use of analytic, qualitative/geometric, and numerical techniques. Applications from physics, biology, chemistry, engineering, economics, and psychology will be presented. Prerequisite: MATH 140.
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