MATH121 with a minimum grade of C, MATH075, or MATH level 5
4.00
Functions, limits and continuity; instantaneous rate of change, tangent slopes, and the definition of the derivative of a function; power, product, and quotient rules, trig derivatives, chain rule, implicit differentiation; higher order derivatives; applications(curve sketching, limits at infinity, optimization, differentials); other transcendental functions (inverse trig functions, exponential and log functions, hyperbolic trig functions); antiderivatives; indefinite integrals; applications (net change). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
MATH 165 with grade of C or better
4.00
Riemann sums and definite integrals; Fundamental Theorem; applications (areas); integration of exponential functions, trig functions, and inverse trig functions; techniques of integration (by parts, trig substitution, partial fractions); area, volume, and average value applications; differential equations (separable, exponential growth, linear); infinite sequences and series; convergence tests; power series; Taylor and Maclaurin series (computation, convergence, error estimates, differentiation and integration of Taylor series). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
MATH 166 with grade of C or better
4.00
Parametric equations and polar coordinates (curves, areas, conic sections); vectors and the geometry of space (the dot product, vector arithmetic, lines and planes in 3space, the cross product, cylinders and quadratic surfaces); vector functions (limits, derivatives and integrals, motion in space); partial derivatives (functions of several variables, limits and continuity, tangent planes and differentials, chain rule, directional derivatives, gradient, extrema, Lagrange multipliers); multiple integrals (double integrals, applications); vector calculus (vector fields, line integrals, fundamental theorem for line integrals, Green's Theorem, curl and divergence, parametric surfaces, surface integrals). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
MATH165 and MATH166 with a grade of C or better
4.00
this course is intended to provide a firm foundation for and a taste of the study of advanced mathematics. While the course content varies somewhat, it is designed to give students a deeper understanding of the algebraic and analytical structure of the integers, the rational numbers and the real numbers and how they act as a building block to a variety of fields of mathematics. Students are introduced to the process of mathematical discovery and the language of mathematics. Exercises and projects are designed to illustrate the need for proof and to further refine the student's ability to analyze, conjecture and write mathematical proofs. This course is a prerequisite for most upper level mathematics courses and, after completing it a student will be in a position to determine realistically if he or she ought to major or minor in mathematics.
Math 331 must have grade C or higher
4.00
System of linear equations, Gaussian elimination, matrices and their algebra, inverse of a matrix, determinants, cofactor expansion, Cramer's rule, vectors in and their algebra, abstract vector spaces, subspaces, linear independence, basis and dimension, linear transformations, isomorphism of vector spaces, rank and nullity, matrix of a linear transformation, inner product spaces, angle and orthogonality, eigenvalues and eigenvectors of a linear transformation, characteristic equation, CayleyHamilton theorem, diagonalization.
MATH 431
4.00
An introduction to elementary group theory, including properties of groups, subgroups, first isomorphism theorem for groups, normal subgroups, finite group classification; elementary properties of rings, such as homomorphisms of rings, ideals, fields, Euclidean algorithm, rings of polynomials, factorization theory, integral domains, associates, primes and units in domains, and other topics in number theory. Prerequisite: MATH 431 with a grade of C or higher.
MATH 331 with at least a grade of C
4.00
A detailed treatment of the basic concepts of analysis including the real numbers; completeness and its equivalence to other properties of the reals such as monotone convergence, Archimedean property, BolzanoWeierstrass theorem; the topology of Euclidean spaces, compactness and the HeineBorel theorem, connectedness, continuity and uniform continuity and uniform continuity, pointwise and uniform convergence of functions, and an introduction to metric spaces.
Junior or Senior standing
1.00
This teamtaught course is designed to explore career opportunities in Mathematics in depth. This course focuses on career search, the application process, entry, transition and networking for career success. Alternative options such as graduate school will also be explored. Students articulate and reflect on academic work, and cocurricular experiences from the perspective of professionals entering or advancing their careers. The goal of this course is to help students reach their fullest professional potential following graduation.
4.00
This is a rigorous introduction to computer science in Java with an emphasis on problem solving, structured programming, objectoriented programming, and graphical user interfaces. Topics include expressions, input/output, control structures, intrinsic data types, classes and methods, iteration, topdown programming, arrays, graphical user interfaces, and elements of UML. Normally offered each semester.
Quantitative Reasoning
Take MATH121 or MATH 165. PHYS L151 concurrently
3.00
Introduction to the fundamental principles of physics using calculus. The course includes the study of vectors, Newton's laws, rotations, rigid body statics and dynamics, simple harmonic motion, heat and temperature.
Offered Both Fall and Spring
NATURAL SCIENCE FOR BA BFA & BSJ,NATURAL SCIENCE FOR BS,SCI TECH ENGNR
PHYS 151 concurrently
1.00
The laboratory consists of experiments to illustrate the basic concepts studied in the course: measurements, propagation of errors, vectors, Newton's laws, work and energy, momentum, rotations, oscillations, simple harmonic motion, fluid. Knowledge of algebra, trigonometry, differentiation and integration required.
Offered Both Fall and Spring
NATURAL SCIENCE FOR BA BFA & BSJ,NATURAL SCIENCE FOR BS,SCI TECH ENGNR
Although not required, it is strongly recommended that Mathematics majors also take CMPSCF132 Computer Science II and an internship in Mathematics. Note that the BA and BS degrees have an additional science requirement.
Residency Requirement Policy: In the College of Arts and Sciences, a twocourse residency requirement must be satisfied for completion of a minor and a fourcourse residency requirement must be satisfied for the completion of a major.
MATH121 with a minimum grade of C, MATH075, or MATH level 5
4.00
Functions, limits and continuity; instantaneous rate of change, tangent slopes, and the definition of the derivative of a function; power, product, and quotient rules, trig derivatives, chain rule, implicit differentiation; higher order derivatives; applications(curve sketching, limits at infinity, optimization, differentials); other transcendental functions (inverse trig functions, exponential and log functions, hyperbolic trig functions); antiderivatives; indefinite integrals; applications (net change). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
MATH 165 with grade of C or better
4.00
Riemann sums and definite integrals; Fundamental Theorem; applications (areas); integration of exponential functions, trig functions, and inverse trig functions; techniques of integration (by parts, trig substitution, partial fractions); area, volume, and average value applications; differential equations (separable, exponential growth, linear); infinite sequences and series; convergence tests; power series; Taylor and Maclaurin series (computation, convergence, error estimates, differentiation and integration of Taylor series). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
MATH 166 with grade of C or better
4.00
Parametric equations and polar coordinates (curves, areas, conic sections); vectors and the geometry of space (the dot product, vector arithmetic, lines and planes in 3space, the cross product, cylinders and quadratic surfaces); vector functions (limits, derivatives and integrals, motion in space); partial derivatives (functions of several variables, limits and continuity, tangent planes and differentials, chain rule, directional derivatives, gradient, extrema, Lagrange multipliers); multiple integrals (double integrals, applications); vector calculus (vector fields, line integrals, fundamental theorem for line integrals, Green's Theorem, curl and divergence, parametric surfaces, surface integrals). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
MATH165 with a grade of C or better
4.00
Topics include: random variable and distribution; expectation and variance; special discrete/continuous distributions (uniform, binomial, negative binomial, geometric, hypergeometric, Poisson, normal, and exponential distributions); joint distribution, marginal distribution and conditional distribution; covariance; limit theorems (law of large numbers and central limit theorem); introduction to confidence interval and hypothesis testing; regression analysis. Offered as needed.
MATH166 with a grade of C or better
4.00
This course is mainly designed for students who are interested in financial mathematics and/or actuarial sciences, especially if they plan to take the second actuarial exam, and/or if they plan to study more in financial mathematics. The materials covered include time value of money, annuities, loans, bonds, cash flows and portfolios, general derivatives, options, hedging and investment strategies, forwards and futures, and swaps.
Expanded Classroom Requirement
MATH165 and MATH166 with a grade of C or better
4.00
this course is intended to provide a firm foundation for and a taste of the study of advanced mathematics. While the course content varies somewhat, it is designed to give students a deeper understanding of the algebraic and analytical structure of the integers, the rational numbers and the real numbers and how they act as a building block to a variety of fields of mathematics. Students are introduced to the process of mathematical discovery and the language of mathematics. Exercises and projects are designed to illustrate the need for proof and to further refine the student's ability to analyze, conjecture and write mathematical proofs. This course is a prerequisite for most upper level mathematics courses and, after completing it a student will be in a position to determine realistically if he or she ought to major or minor in mathematics.
Math 331 must have grade C or higher
4.00
System of linear equations, Gaussian elimination, matrices and their algebra, inverse of a matrix, determinants, cofactor expansion, Cramer's rule, vectors in and their algebra, abstract vector spaces, subspaces, linear independence, basis and dimension, linear transformations, isomorphism of vector spaces, rank and nullity, matrix of a linear transformation, inner product spaces, angle and orthogonality, eigenvalues and eigenvectors of a linear transformation, characteristic equation, CayleyHamilton theorem, diagonalization.
MATH 331 with at least a grade of C
4.00
A detailed treatment of the basic concepts of analysis including the real numbers; completeness and its equivalence to other properties of the reals such as monotone convergence, Archimedean property, BolzanoWeierstrass theorem; the topology of Euclidean spaces, compactness and the HeineBorel theorem, connectedness, continuity and uniform continuity and uniform continuity, pointwise and uniform convergence of functions, and an introduction to metric spaces.
Junior or Senior standing
1.00
This teamtaught course is designed to explore career opportunities in Mathematics in depth. This course focuses on career search, the application process, entry, transition and networking for career success. Alternative options such as graduate school will also be explored. Students articulate and reflect on academic work, and cocurricular experiences from the perspective of professionals entering or advancing their careers. The goal of this course is to help students reach their fullest professional potential following graduation.
MATH128 or higher and WRI102 or WRIH103 or SBS220
3.00
Introduces students to the accounting cycle, the financial statements, and the theory underlying accounting as information. Provides users of accounting information with a basic understanding of how to appraise and manage a business. Addresses current accounting topics, including relevant ethical and international issues found in the financial press.
Offered Both Fall and Spring
Arts Admin Minor Elective
ACCT201
3.00
Enables students to apply the concepts and skills from ACCT 201. They learn how to analyze the financial condition and performance of a firm, and how to use accounting information in business planning, decisionmaking, and control. Topics include costvolumeprofit analysis, costing systems, variance analysis, and the budget process. Discusses relevant current ethical and competitive issues found in the financial press.
Offered Both Fall and Spring
4.00
This is a rigorous introduction to computer science in Java with an emphasis on problem solving, structured programming, objectoriented programming, and graphical user interfaces. Topics include expressions, input/output, control structures, intrinsic data types, classes and methods, iteration, topdown programming, arrays, graphical user interfaces, and elements of UML. Normally offered each semester.
Quantitative Reasoning
Non CAS majors need to have completed at least 15 credits.
3.00
This course introduces students to foundational principles of microeconomic theory, with an emphasis on applications of concepts to management decisionmaking in specific industry and market settings. It describes and analyzes the interaction of supply and demand and the behavior of the prices of goods, services. It explains the determinations of costs, output, strategic pricing, and governance by firms under conditions of perfect and imperfect competition in a global economy. In addition, it describes the supply demand for factors of production and the impact of taxes and government regulation and intervention on firms and consumers.
Social Science,BSJ SOCIAL SCIENCE
NonCAS majors need to have completed at least 15 credits
3.00
This course examines the workings of the national and the global economy. It will describe the determination of Gross Domestic Product, the problems of unemployment, inflation, and the determination of economic growth. It will also describe and analyze the determination of the country's exchange rate, the balance of payments, and international borrowing and lending. A particular focus will be on understanding economic fluctuations (booms, busts, and recessions) in the domestic economy and its effects on other economies. It will analyze the role of the government and the effects of government spending and taxation on the economy. Furthermore, it will describe and analyze the determination of the quantity of money and interest rates in the economy and the role of the country's central bank. It examines the basis and pattern of international trade and the effects of a country's trade policy on the economy.
Social Science,BSJ SOCIAL SCIENCE
STATS250 or STATS240 or MATH255 or permission of instructor
4.00
This course begins with a brief review of statistical methods, including probability theory, estimation, and hypothesis testing. This background is used in the construction, estimation, and testing of econometric models. The consequences of a misspecified model, where the assumptions of a classical regression model are violated, are studied and the appropriate remedial measures are suggested. Other topics include dummy variables, binary choice models, and autoregressive models. Emphasis is on applied aspects of econometric modeling. There is extensive use of statistical software for data analyses. Normally offered every year.
Social Science,BSJ SOCIAL SCIENCE
MATH 128 or higher; ACCT 201; STATS 240 or STATS 250 (can take concurrently with FIN 200); Sophomore standing
3.00
This course is a study of the functions of business finance and focuses on basic financial principles such as time value of money, risk and return tradeoffs, and asset valuation. Formally FIN 310.
Offered Both Fall and Spring
FIN 200 (formerly FIN 310)
3.00
Intermediate Finance expands on basic financial concepts and introduces more advanced topics. Material emphasizes solutions to problems of capital structure, investment and financing. Other major topics include distribution policy, working capital management, derivative corporate securities, and corporate restructuring.
Offered Both Fall and Spring
FIN 200 (formerly FIN 310); Junior standing
3.00
This course includes the theory, practice and problems of risk bearing in business and personal pursuits including life, property and casualty insurance and dealing with contract analysis and investments as well as corporate risk management.
Offered Fall Term
FIN 200 (formerly FIN 310); Junior standing
3.00
This course covers the investment of funds by individuals and institutions. Focuses on analysis of investments and security markets, and the mechanics of trading and investing. A variety of investment vehicles are discussed, including stocks, bonds, futures, and options.
Offered Both Fall and Spring
FIN 315; Junior standing;
3.00
This course is an indepth analysis of derivatives: futures, options, and swaps. The course explains why these securities exist, where and how they are traded, how to employ them in managing risk, and how to accurately price them. It also covers the use of these derivatives in the context hedging or speculation.
Offered Spring Term
FIN 315, Junior standing
3.00
This course is an advanced course in investment analysis stressing efficient frontier and diversification. Also studies portfolio construction and management, and the tradeoff of risk versus return.
Offered Fall Term
Although not required, it is strongly recommended that Applied Mathematics majors also take CMPSCF132 Computer Science II and an internship in Mathematics.
Residency Requirement Policy: In the College of Arts and Sciences, a twocourse residency requirement must be satisfied for completion of a minor and a fourcourse residency requirement must be satisfied for the completion of a major.
In both the Pure Mathematics and Mathematics with Actuarial Concentration majors, students who have an overall GPA of 3.0 or better and a GPA of 3.0 or better in the major will be eligible for honors. To achieve honors a student must take a course of four credits or more in an advanced mathematics topic. This will typically be an independent study. The course should lead to a project or a senior thesis, done under the direction of a faculty member. The topic of study will be agreed upon by the student and faculty member.
Instructor permission required.
4.00
Students study a particular topic in mathematics and demonstrate their results in a final project.
4.00
Members of the department will hold conference hours with students and will direct their readings and study of topics in mathematics which may be of interest to them. Prerequisite: Consent of instructor. 1 term  credits to be arranged.
Learning GoalsGraduates will... 
Learning ObjectivesPure Mathematics students will be able to… 
Have strengthened their problemsolving skills and further developed their mathematical maturity. 

Understand, evaluate, and interpret quantitative information given in a variety of formats. 

Understand the need for proof and what comprises mathematical proof. 

Have a working knowledge of foundational technical material. 

Know how to frame appropriate realworld problems in mathematical language. 

Skillfully communicate (both orally and in writing) mathematical ideas and applications. 

Learning GoalsGraduates will... 
Learning ObjectivesMathematics with Actuarial Concentration students will be able to… 
Have strengthened their problemsolving skills and further developed their mathematical maturity. 

Understand, evaluate, and interpret quantitative information given in a variety of formats. 

Understand the need for proof and what comprises mathematical proof. 

Have a working knowledge of coursespecific technical material. 

Know how to frame appropriate realworld problems in mathematical language. 

Skillfully communicate (both orally and in writing) mathematical ideas and applications. 
