Mathematics

This course is open only to freshmen. This course aims to provide the tools for students to make good decisions and form good habits. We will focus on the areas of time management, nutrition, fitness, current events, and personal finance. Faculty: P. KOSICK

This course is designed for students who intend to take calculus and who do not yet possess complete mastery of such precalculus topics as functions and graphs; exponential, logarithmic, and trigonometric functions; inverse functions. Students who do not intend to take calculus and who desire algebra review in preparation for work in statistics or other quantitative studies (such as BSNS 2120, Quantitative Business Methods) are advised to take GEN 1135, College Algebra, instead of MATH 1100. Precalculus students who intend to take Calculus I are strongly encouraged to do so in the semester immediately following completion of precalculus. Offered each term. Prerequisites: GNM 1126 with a grade of C or better OR GNM 2310 with a grade of C or better OR FRST 2310 with a grade of C or better OR AAF 260 OR APCM 55 OR MATH SAT 570 OR A02 24 OR 0000 TO 4999 Course Attribute 403. Corequisites: None Attributes: Q1 Quantitative Reasoning Intensive

Prerequisite: A basic knowledge of English grammar. International/multicultural course (I). This course focuses on learning the Russian language, together with brief mentions of Russian culture and history. Faculty: J. TOLOSA

Independent Study in Mathematics

Description: Calculus course intended for students majoring in the life sciences, marine science. Topics include functions and their graphs, limits, derivatives and their applications, introduction to integration, and trigonometric, exponential and logarithmic functions. Emphasis is made on applications to the life sciences. Not open to MATH, PHYS, or CSIS majors, or students who have completed MATH 2215 or equivalent course. Prerequisites: MATH SAT score of 620 or Accuplacer AAF score of 276, or MATH 1100 with a grade of C or better Corequisites: None Attributes: Q1 Quantitative Reasoning Intensive

First course of the basic three-term calculus sequence, but also appropriate for students wishing to take only two semesters of calculus. Topics include functions and their graphs, limits, derivatives and their applications, introduction to integration, and trigonometric, exponential, and logarithmic functions. Offered each term. Prerequisites: MATH 1100 with a grade of C or better, may not be taken concurrently; OR Accuplacer College Math 85, OR MATH SAT score of 620-800, OR ACT Math 27, OR AAF 285, none of which may be taken concurrently. Corequisites: None. Restrictions: None.

First course of the basic three-term calculus sequence, but also appropriate for students wishing to take only two semesters of calculus. Topics include functions and their graphs, limits, derivatives and their applications, introduction to integration, and trigonometric, exponential, and logarithmic functions. Offered each term. Prerequisites: MATH 1100 with a grade of C or better, may not be taken concurrently; OR Accuplacer College Math 85, OR MATH SAT score of 600, OR ACT Math 27, OR Math Section Score 620-800, OR AAF 285, none of which may be taken concurrently.

Techniques and applications of integration, improper integrals, sequences and series, and conic sections. Offered each term. Prerequisites: MATH 2215 with a grade of C or better.

The theory and applications of functions of more than one variable and of vector-valued functions. Partial derivatives and multiple integration. Vector analysis including the Divergence Theorem and Stokes's Theorem. Offered each term. Prerequisites: MATH 2216 with a grade of C or better.

This course examines the historical and intellectual impact of women in the field of mathematics. It will investigate the role of women as learners, educators and researchers. It will discuss ways in which women's roles differ from their male counterparts. Faculty: B. McSHEA, J. VOGEL

This course is designed for students interested in computer science and is a required course for CSIS majors. Topics include Boolean algebra, mathematical proofs, sets, functions, sequences, matrices, number theory, mathematical induction, introductory combinatorics, and discrete probability. Offered each term. Prerequisites: MATH 1100 OR MATH 2215 OR CSCI 2101 OR CSIS 2101 with a grade of C or better; AND a working knowledge of high school algebra (two years), geometry, and trigonometry. Corequisites: None. Restrictions: Not open to students with credit for MATH 3325. Attributes: Q1 - Quant Reasoning Intensive.

Prerequisite: GNM 1125, GEN 1135 or High School Algebra. This course applies mathematical reasoning to problems arising in politics. We will apply game theory to analyze international conflicts. We will examine voting systems by studying voter power in two option systems and investigating the problem of finding a fair system to choose between three or more options. Many current real world systems will be studies in this course. Faculty: B. FORREST

Preparation for students who wish to enter secondary Math education before clinical practice. Prerequisite: Math 2215 Calculus I with grade C or better.

Values/ethics course (V). This course will investigate the plight of the children during the Holocaust. It will study how children were often the focus of the atrocities and the relief efforts. Content will include children of the ghetto, children in concentration camps, hidden children, children survivors, and Hitler Youth. Special attention will be placed on how the children’s experiences differed from that of the adult victims. Faculty: J. VOGEL

Winning at a social game requires more than luck. Without being aware, we use game theory and Bayesian stats every day, but most people rely on previous experiences and information to make decisions. Game theory is a mathematical approach to making choices to maximize outcomes. By learning approaches to various play styles and analyzing outcomes we can become better platers of social games. This course looks at fleshing out the nuances of game theory and it application by learning how to play various types of games and their connection to the real world.

Independent Study in Mathematics

A one (1) credit independent study. Student will assist professor with procedures and processes of the course.

Prerequisite: MATH 2215, CALCULUS I. This is a quantitative reasoning course (Q1). A unified approach to the theory and application of finance is provided by the study of the underlying mathematical principles. Applications include simple and compound interest and discount; force of interest; annuities and perpetuities; amortization and sinking funds; bonds and other securities; depreciation, depletion, and capitalized cost; and installment loans. Faculty: Y. Shen

Holocaust and Genocide/Women’s Gender Sexuality. This course presents an overview of sexualized violence in genocide and armed conflict. We ill investigate how it is used as a weapon of gender-based violence with profound effects. We will also interrogate common assumptions, examine perpetrators’ motivations, compare it to “everyday” forms of sexualized violence, and critically examine efforts in combating impunity, protecting, and prevention. Staff

Holocaust and Genocide/Women’s Gender Sexuality Studies. Cold Ware competition exasperated the plight of numerous vulnerable nations across the globe. This course will focus on the effects of the cold war in Latin America which was devasted by the geopolitical ambitions of foreign powers as external intervention helped facilitate the conditions for mass atrocity and other forms of violence perpetrated by the state. Staff

This course is designed for students who intend to become mathematics teachers in K-12 school courses; it is a core course for the Education Concentration of the Mathematics Major. It provides students with background in both college geometry and topics in the K-12 geometry curriculum. The main focus of the course is the conceptual development of plane geometry. Topics include: Brief introduction to logic and logical proofs. Plane Euclidean geometry, basic concepts and axioms; main results about plane geometric figures, especially triangles and circles; symmetries and rigid motions in the plane. Use of geometry software to explore and illustrate geometric facts. Geometric constructions with ruler and compass. Basic results about solids in space; regular solids. Introduction to non-Euclidean plane geometries. Prerequisites: MATH 2216 AND (MATH 2225 OR MATH 3325) with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

: Linear systems and Gaussian elimination. Matrices and matrix operations. Determinants and their properties; invertible matrices. Euclidean and general vector spaces. Linear independence, subspaces, bases, and dimension. Linear transformations in Euclidean and in general vector spaces. Matrix of a transformation relative to fixed bases. Eigenvalues and eigenvectors; matrix diagonalization, and other applications. Inner product spaces, orthogonality; the Gram-Schmidt process. Quadratic forms and symmetric matrices; orthogonal and unitary matrices; applications. Offered each term. Prerequisites: MATH 2216 and MATH 2225 with a grade of C or better, or MATH 3325 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive. .

Description: Logic, set theory, and selected topics in advanced mathematics. This course attempts to develop mathematical sophistication and the ability to prove theorems. Offered each term. Prerequisites: MATH 2216 with a grade of C or better AND MATH 2217 with a grade of C or better (may be taken concurrently) Corequisites: None Attributes: Q1 Quantitative Reasoning Intensive

Methods of solution of differential equations, with emphasis on qualitative methods. Topics include first order equations, linear equations, the phase line, equilibrium points, existence and uniqueness, systems of linear equations, phase portraits stability, and behavior of non-linear autonomous two-dimensional systems. MATH 3323 recommended. Prerequisites: MATH 2217 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

This course is an introduction to number theory. Topics include divisibility, primes, congruences, Diophantine equations, and number-theoretic functions. Additional topics may include primitive roots, quadratic residues, continued fractions, and cryptography. Prerequisites: Math 2215 with grade C or better, and Math 2225 or Math 3325 with grade C or better.

A course for students in Math/Secondary Education concentration providing a foundation and knowledge in the area of applied probability and Statistics. Topics include probability, statistical inference, regression, distribution functions. Prerequisites: Math 2225 Discrete Math, Math 2216 Calculus II with grades C or better. Corequisites: None. Restrictions: Not open to first year students. Attributes: Q1.

This course provide rigorous theoretical treatment of real numbers, sequences, limit theorem, Continuity, Differentiability, and integrability. Course not open to students with credit for MATH 4431 Real Analysis. Prerequisites: Math 2217 with grade C or better, and Math 2225 or Math 3325 with grade C or better.

This course is designed for students intending to teach high school mathematics. Students will advance their skills in reading and writing proofs though the study of abstract algebra. Topics include relations, functions, cardinality, groups, rings, fields, and polynomials. Prerequisites: MATH 2216 and (MATH 2225 or MATH 3325) with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 Quantitative Reasoning Intensive.

This course examines content-based issues that arise when teaching mathematics at the secondary level. Mathematical topics from K-12 are examined from an advanced perspective providing students with the sophistication and depth necessary to teach the high school curriculum; topics include arithmetic, fractions, polynomials, equations, functions, and other mathematical structures. Prerequisites: MATH 2217, and MATH 2225 or MATH 3325. Corequisites: None. Restrictions: None. Attributes: Q1.

A course offered to students who major in Mathematics with a concentration in secondary education. Students have the opportunity to explore various topics related to secondary math education. Topics include Mathematical Technology, Global engagement in Math education, and study tour. Prerequisites: Permission of Instructor. Corequisites: None. Restrictions: None.

Independent Study in Mathematics

A zero (0) credit internship. Student will assist professor with procedures and processes of the course.

No course description is available.

Grader for Mathematics Courses.

Properties of the set of real numbers; the completeness axiom. Sequences and their limits. Functions, limits, and continuity. Differentiability, theory of integration. Sequences of functions and uniform convergence. Prerequisites: MATH 2217 AND MATH 3325 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Complex numbers and the complex plane; powers and roots. Limits, continuity, and derivatives. Analytic functions; properties and examples. Complex integration; the Cauchy-Goursat theorem, and the Cauchy integral formula; consequences. Taylor series and Laurent series; regions of convergence; examples. Singularities, and the Residue theorem. Applications of residues. Conformal mapping; examples. Prerequisites: MATH 2217 AND MATH 3323 AND MATH 3325 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Group theory, subgroups and quotient groups, homomorphisms and automorphisms, permutation groups and Cayley's theorem. Ring theory and field theory; ideals and quotient rings, integral domains and fields, prime and maximal ideals. Prerequisites: MATH 3323 AND MATH 3325 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Content varies from year to year. Recent topics were Euclidean and non-Euclidean geometries, differential geometry, classification of two-dimensional and three-dimensional manifolds, and elliptic curves. The course can be repeated for credit if the topics in the two MATH 4445 courses are substantially different; however, only the first course can count as fulfilling the 4000-level requirement. Prerequisites: MATH 3323 AND MATH 3325 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Basic concepts of probability. Combinations and permutations. Conditional probability and conditional expectation. Random walks. Gambler's ruin problems, and Markov chains. Discrete and continuous random variables. Bivariate and multivariate distributions. Transformations of random variables. Variance, covariance, correlation, and moments and moment generating functions. Prerequisites: MATH 2217 with a grade of C or better, AND MATH 2225 or MATH 3325 or MATH 3323 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Special distributions, including binomial, hypergeometric, Poisson, negative binomial, normal, gamma, beta, multinomial, and bivariate normal distributions. Prior and posterior distributions. Estimations of parameters, including Bayes estimators and maximum likelihood estimators. Confidence intervals, testing, and hypotheses. Chi-square test and t-test. Non-parametric tests. Regression and analysis of variance. Prerequisites: MATH 4451 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Numerical algorithms and techniques for solving mathematical problems. Topics include root finding, approximation of functions, differentiation and integration, differential equations, and linear systems. Analysis of errors involved in the various methods. Prerequisites: MATH 2217 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

This course will include a study of the design, space/time analysis, and correctness of algorithms. Examples will come from diverse areas of computer science and include algorithms for searching, sorting, graphs, trees, and geometric problems. Prerequisites: CSIS 2102 AND MATH 2217 AND MATH 3323 with a grade of C or better; AND MATH 3325 or CSIS 2226 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Prerequisite: Basic Algebra. This course covers history, principles and techniques of risk-taking. Examples illustrate how risk is a key issue in many situations (safety, security, environment, medicine, finance, insurance, etc.) Introduced are logical tools, like root-cause, fault and event trees to capture failures before decision-making. Students conduct simulated risk analyses on their chosen topics and present results. Staff

Description: An introduction to the mathematical foundations of computer science. Models of computation including automata, formal languages, real world devices, and abstract models. Notations for grammars and design of language recognizers. Unsolvable problems. Turing machines and Church's thesis. Computational complexity and NP-completeness. Applications to software and hardware design. Prerequisites: CSIS 2101 and MATH 3323 and MATH 3325 all with a grade of C or better Corequisites: None Attributes: Q1 Quantitative Reasoning Intensive

Mathematical topics not covered in other regularly scheduled MATH courses. This course investigates the content of high school mathematics from an advanced perspective. Topics covered include but are not limited to the real number line, complex numbers, limits, polynomials, number theory, and number fields. The course also examines effective presentation of mathematical content. Prerequisites: MATH 3323 AND MATH 3325 AND MATH 2217 with a grade of C or better. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

International Multicultural Course (I). Open to Juniors and Seniors only. This class will investigate the implications of climate change for various types of conflict, with a particular emphasis on genocide. We will study and discuss the stresses and strains imposed on communities due to changes in climate from both a historical perspective and as a predictive analysis. In particular, we will investigate the risk for the development of genocidal ideologies and policies as communities struggle to cope with the changes imposed by a warming world. Staff

Linear partial differential equations with applications in physics and engineering, including wave(hyperbolic), heat (parabolic) and Laplace (elliptic) equations. Solutions on bounded and unbounded domains using Fourier series, Fourier transforms, separation of variables, eigenfunction expansion and characteristics. Introduction to non-linear partial differential equations. Prerequisites: MATH 2217 with a grade of C or better. MATH 3325 recommended. Corequisites: None. Restrictions: None. Attributes: Q1 - Quant Reasoning Intensive.

Weekly talks given by Stockton faculty, students, and speakers from other institutions, on multiple mathematical topics as well as career issues. May be repeated for credit. Offered each semester. Prerequisites: MATH 2215 with a grade of C or better Corequisites: None. Restrictions: None.

Historical Consciousness Course. Open only to Juniors and Seniors. This course will look at the roots of propaganda, investigating its uses in manipulation of the human psyche. It will use a multi-discipline approach to investigate the nature of modern propaganda covering topics related to media, art, history, economics, and the social sciences. In particular, it will explore the standard techniques used by the propaganda professionals of both the Allied and German governments during World War I, the interwar period, and World War II. Faculty: A. Millin/J. Vogel

This course is recommended to synthesize various program courses or explore areas outside of undergraduate mathematics. It is required for, but does not guarantee, graduation with distinction in mathematics. The project must be approved by the mathematics faculty and must be planned and carried out under the guidance of a member of the faculty. Special project request form required. Prerequisites: Completion of two advanced courses in mathematics (MATH 4000-4999). Corequisites: None. Restrictions: Open only to juniors and seniors. Special project request form required.

This course consists of an off-campus work-study experience planned and conducted under the guidance of a member of the faculty. The project must be approved by the mathematics faculty and should culminate in a substantial written report. Special project request form required. Prerequisites: None. Corequisites: None. Restrictions: Open only to juniors and seniors. Special project request form required.