
Latin 


LAT 10100  Beginning Latin LAT 10100 not credited without LAT 10200. 4 hrs 4 cr. offered fall 


LAT 10200  Beginning Latin 4 hrs 4 cr. offered spring 


LAT 10700  Beginning Latin, Intensive 6 hrs 6 cr. offered summer 


LAT 11000  Latin Reading prereq: LAT 10200 or equiv. 3 hrs 3 cr. offered fall 


LAT 20100  Ovid’s Metamorphoses prereq: LAT 11000 or equiv. 3 hrs 3 cr.



LAT 20200  Roman Biography prereq: LAT 11000 or equiv. 3 hrs 3 cr.



LAT 20300  Vergil’s Aeneid prereq: LAT 11000 or equiv. 3 hrs 3 cr.



LAT 20400  Cicero’s De Senectute prereq: LAT 11000 or equiv. 3 hrs 3 cr.



LAT 22000  Medieval Latin prereq: LAT 11000 or equiv. 3 hrs 3 cr. offered summer 


LAT 30200  Roman Letter prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30300  Roman Comedy prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30400  Roman Satire prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30500  Vergil’s Eclogues and Georgics prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30600  Cicero prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30700  Lucretius’ De Rerum Natura prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30800  Roman Epic prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 30900  Lyric Poetry of the Golden Age prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 31000  The Roman Novel prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 31100  Elegiac Poets prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 31200  Livy prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 31300  Caesar prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 31400  Tacitus prereq: LAT 20100 or equiv. 3 hrs 3 cr.



LAT 31500  Anthology of Latin Verse prereq: LAT 20100 or equiv. 1 hr 1 cr.



LAT 31600  Advanced Readings in Latin Literature prereq: LAT 20100 or equiv. 3 hrs 3 cr.

Latin American and Caribbean Studies 


LACS 33000  Latin America and the Caribbean Field Course/Internship A field course for students to study in the region or who are interning in an institution either in the New York area or in the region. Major research paper based on field or internship experience. 3 cr.



LACS 43400  Seminar in Latin American and Caribbean Studies Open to sophomores, juniors, and seniors who have completed at least 18 credits in LACS or have instructor permission. Interdisciplinary reading, research, and discussion of selected topics involving cultural, economic, political, and social problems. Research paper required. May be repeated for a maximum of 6 edits. 3 cr.

Macaulay Honors 


MHC 10000  MHC Seminar 1, The Arts in New York City (W) Fulfills GER 2D, Visual and Performing Arts: Media, Art, Dance, Film, Music, Theatre prereq: Open to Macaulay Honors College students only 3 hours 3 credits



MHC 15000  MHC Seminar 2: Peopling of New York (W) Macaulay Honors College Fulfills GER 2B, Social Science: People and Their Societies. prereq: Open only to Macaulay Honors College students. 3 hours 3 credits



MHC 20000  MHC Seminar 3: Science and Technology (W) Macaulay Honors college only Fulfills GER 3B, Social Science or Natural Science/Mathematics prereq: Macaulay Honors College only. ENGL 12000; MHC 15000 or its equivalent at another CUNY Honors College campus 3 hours 3 credits



MHC 25000  MHC Seminar 4: Shaping the Future of New York City (W) Macaulay Honors College Fulfills GER 2B, Social Science: People and their Societies prereq: Open only to Macaulay Honors College students. 3 hours 3 credits

Mathematics and Statistics: Mathematics In planning their schedules, prospective majors should note that some advanced required courses are offered only once each year and several advanced elective courses are offered only once every other year. A rotation schedule for course offerings is available in the department office and on the departmental web site.
Prerequisites: Because of the nature of mathematics, the department recommends that students refrain from enrolling in any course that carries prerequisites unless these prerequisites have been completed with a grade of C or better. 


MATH 10000  Basic Structures of Mathematics GER 1/B Not open to students who have received credit for any math or stat course that satisfies the GER 1/B requirement. Not recommended for students majoring in mathematics, statistics, computer science, or natural sciences. Symbolic logic, sets, number systems, relations and operations and topics in probability and statistics. This course is a terminal course and does not serve as a prerequisite to any other course in the department prereq: CUNY Math Proficiency 3 hrs 3 cr.



MATH 10100  Algebra for College Students Topics in algebra, graphing and functions Includes: algebraic and graphical solutions to systems of equations and inequalities; absolute value, polynomial, rational and radical expressions and equations; complex numbers; the function concept; introduction to polynomial, rational and exponential functions and their graphs.
In planning their schedules, prospective majors should note that some advanced required courses are offered only once each year and several advanced elective courses are offered only once every other year. A rotation schedule for course offerings is available in the department office and on the departmental web site. prereq: appropriate score on placement exam or exit from appropriate departmental workshop 4 hrs (2 lec, 2 lab) 3 cr.





MATH 10400  Mathematics for Elementary Education I GER 1/B Fundamental and relevant mathematics as recommended by the NCTM for prospective elementary school teachers, including problem solving, sets, logic, numeration, computation, integers and number theory. Required of students planning to teach in elementary schools. Not open to other students. prereq: grade of C or better in MATH 10100 or appropriate score on the placement exam 3 hrs 3 cr.



MATH 10500  Mathematics for Elementary Education II GER 1/B Continuation of MATH 10400. Continuation of the content of the mathematics recommended by the NCTM for prospective elementary school teachers, including probability, statistics, plane and transformational geometry, congruence and similarity. prereq: grade of C or better in MATH 10400 3 hrs 3 cr.



MATH 11000  Topics in the Mathematical Sciences GER 1/B Not open to students who have completed MATH 10500, 16000 or 26000. Intended for liberal arts or social science students. Applications of topics selected from algebra, analysis, computer science, geometry, probability and statistics. prereq: collegelevel mathematics or statistics course. 3 hrs 3 cr.



MATH 11100  Matrices, Vectors and Linear Programming GER 1/B Not open to students who have completed MATH 16000 or 26000. Recommended for accounting students; not recommended for students majoring in mathematics or statistics. Introduction to matrices and vectors, systems of linear equations and linear programming with applications. prereq: MATH 10100 or appropriate score on placement exam 3 hrs 3 cr.



MATH 12500  Precalculus GER 1/B Functions and their graphs: polynomial, rational, exponential, logarithmic and trigonometric functions; conic sections; topics in trigonometry; graphical and analytical solutions to systems of equations and inequalities. Not credited to students who have completed MATH 15000 or its equivalent. prereq: grade of C or better in MATH 10100 or appropriate score on placement exam 4 hrs 4 cr.



MATH 12600  Precalculus Technology Laboratory Students are introduced to MATHEMATICA as a tool for exploring qualitative features of functions and solving precalculus problems: simplifying algebraic expressions, solving equations, plotting functions and curves, finding and approximating zeros and solving systems of equations. MATH 12600 cannot be taken for credit after a student has passed MATH 15000. Students who have passed MATH 15000 should register for MATH 15400 to satisfy the symbolic proficiency requirement. prereq: grade of C or better in MATH 10100 or appropriate score on placement exam prereq or coreq: MATH 12500 2 hrs 1 cr.



MATH 15000  Calculus with Analytic Geometry I GER 1/B Limits, continuity, differentiation and integration of elementary functions and trigonometric functions, applications. prereq: grade of C or better in MATH 12500 or appropriate score on placement exam. 4 hrs 4 cr.



MATH 15100  Calculus I with Symbolic Computation Combines MATH 15000 (Calculus I) with MATH 15400. Some previous experience with computers is desirable but not required prereq: grade of C or better in MATH 12500 or appropriate score on placement exam 6 hrs 5 cr.



MATH 15400  An Introduction to Symbolic Computation Laboratory introduction to machineaided computation with an emphasis on examples related to calculus. Students use a symbolic computation package to investigate and solve problems numerically, analytically and graphically. The same package is used to create reports of their results. Some previous experience with computers is desirable but not required. prereq: MATH 15000 2 hrs 1 hr.



MATH 15500  Calculus with Analytic Geometry II GER 1/B Differentiation and integration of transcendental functions, integration techniques, infinite sequences and series, improper integrals, polar coordinates. prereq: grade of C or better in MATH 15000 4 hrs 4 cr.



MATH 15600  Introduction to Mathematical Proof Workshop Techniques of proof will be introduced, among them the direct and indirect methods of proof, epsilondelta arguments and induction. These will be applied to theorems in number theory, set theory and in differential and integral calculus. In planning their schedules, prospective majors should note that some advanced required courses are offered only once each year and several advanced elective courses are offered only once every other year. A rotation schedule for course offerings is available in the department office and on the departmental web site. prereq: MATH 15000. Because of the nature of mathematics, the department recommends that students refrain from enrolling in any course that carries prerequisites unless these prerequisites have been completed with a grade of C or better. prereq or coreq: MATH 15500 2 hrs 1 cr.



MATH 16000  Matrix Algebra GER 1/B Systems of linear equations, matrices, determinants, introduction to vector spaces and linear transformations, applications. prereq: MATH 12500 or appropriate score on placement exam 3 hrs 3 cr.



MATH 25000  Calculus with Analytic Geometry III GER 3/B Vector geometry, dot and cross products, partial derivatives, matrices, determinants, Jacobians, multiple integration. prereq: MATH 15500 4 hrs 4 cr.



MATH 25400  Ordinary Differential Equations GER 3/B Firstorder equations, secondorder linear equations and linear systems, power series solutions, transform and numerical methods, introduction to qualitative theory. prereq: MATH 25000 3 hrs 3 cr.



MATH 25500  Vector Analysis GER 3/B Line and surface integrals, Green’s Theorem, divergence theorem, Stokes’ Theorem, generalized coordinates. prereq: MATH 25000 3 hrs 3 cr.



MATH 26000  Linear Algebra GER 3/B Vector spaces, linear transformations, canonical forms, inner product spaces, bilinear forms, applications. prereq: MATH 15600 prereq or coreq: MATH 25000 4 hrs 4 cr.



MATH 26100  Mathematics in Human History (W) GER 2/B A historical treatment of themes in mathematics, probability and statistics, with applications in the arts and sciences. Roots of mathematics in non Western cultures and contributions of women and minorities are included. prereq: ENGL 12000, collegelevel mathematics course beyond MATH 10100 3 hrs 3 cr.



MATH 27500  Intermediate Symbolic Logic GER 3/B Symbolization of statements in sentential and predicate notation, sentential derivations, interpretations, predicate derivations through logic of identity and definite descriptions. Crosslisted as PHIL 27500. prereq: MATH 15600 3 hrs 3 cr.



MATH 29500  Intermediate Topics in Mathematics GER 3/B May be repeated as topics vary, but not more than twice. Topics to be studied in any given term will be announced prior to registration. prereq: MATH 15000; additional depend on specific course offered 3 hrs 3 cr.



MATH 30100  Mathematical Methods for the Physical Sciences GER 3/B The solution of linear partial differential equations and boundary value problems. Solution techniques such as separation of variables, Fourier series, Green’s functions and Laplace transforms are covered. These are applied to several equations which occur in physical applications such as the heat equation, the Laplace equation and the wave equation. Crosslisted as PHYS 30100. prereq: MATH 25400 3 hrs 3 cr.



MATH 31100  Abstract Algebra I GER 3/B Introduction to the theory of groups and rings. prereq: MATH 26000 3 hrs 3 cr.



MATH 31200  Abstract Algebra II GER 3/B Elements of Galois theory, construction with ruler and compass, advanced topics in ring theory and linear algebra. prereq: MATH 31100 3 hrs 3 cr.



MATH 31300  Theory of Numbers GER 3/B Congruences, quadratic residues, elementary Diophantine analysis, continued fractions, sums of squares. prereq: MATH 26000 3 hrs 3 cr.



MATH 33100  Geometries GER 3/B Topics in affine and projective geometry and/or topics in differential geometry. prereq: MATH 26000 3 hrs 3 cr.



MATH 34000  Topology GER 3/B Metric and topological spaces, continuity, homeomorphisms, compactness, connectedness, homotopy, fundamental group. prereq: MATH 35100 3 hrs 3 cr.



MATH 35100  Mathematical Analysis I GER 3/B Rigorous treatment of foundations of calculus, including topology of real line and higher dimensional spaces. Basic results on continuous functions. prereq: MATH 25000, 26000 3 hrs 3 cr.



MATH 35200  Mathematical Analysis II GER 3/B Integration, sequences and series, uniform convergence, differentiation of functions of several variables, inverse and implicit function theorems, formula for change of variables. prereq: MATH 35100 3 hrs 3 cr.



MATH 35300  Introduction To Complex Variables GER 3/B Complex numbers, analytic functions, elementary functions, contour integrals, Cauchy integral theory, series. prereq: MATH 15600, 25500 3 hrs 3 cr.



MATH 35400  Dynamical Systems and Chaos GER 3/B Linear flows, qualitative theory of lowdimensional nonlinear systems, introduction to chaos in discrete onedimensional dynamical systems. prereq: MATH 25000, 26000 3 hrs 3 cr.



MATH 37000  Mathematical Logic GER 3/B A survey of the central results and techniques of metalogic, principally mathematical induction, the soundness and completeness of theorems for firstorder logic, the Skolem Theorem and Church’s Theorem on undecidability. Crosslisted as PHIL 37500. prereq: MATH 26000 or perm instr. 3 hrs 3 cr.



MATH 37100  Fundamental Concepts of Modern Mathematics GER 3/B Axiomatic approach to set theory: axiom of choice, Zorn’s Lemma, transfinite arithmetic. prereq: two of the following: MATH 26000, 31100, 35100, 35200 3 hrs 3 cr.



MATH 37600W  Philosophy of Mathematics GER 3/B Study of such issues as the nature of demonstration or proof and the nature of mathematical knowledge and mathematical objects such as numbers and sets. Crosslisted as PHIL 37600. crosslisted PHIL 37600 prereq: ENGL 12000; PHIL 10100, MATH 27500 3 hrs 3 cr.



MATH 38500  Numerical Methods I GER 3/B Accuracy and precision, convergence, iterative and direct methods. Topics selected from: solution of polynomial equations and linear systems of equations, curve fitting and function approximation, interpolation, differentiation and integration, differential equations. prereq: MATH 25000 and MATH 26000 or permission of the instructor 3 hrs 3 cr.



MATH 39100  Independent Study in Mathematics GER 3/B Open to Jr/Sr only. Independent study and reading under direction of faculty member. prereq: perm dept. 13 hrs 13 cr.



MATH 39200  Independent Study in Mathematics GER 3/B Open to Jr/Sr only. Independent study and reading under direction of faculty member. prereq: perm dept. 13 hrs 13 cr.



MATH 39300  Independent Study in Mathematics GER 3/B Open to Jr/Sr only. Independent study and reading under direction of faculty member. prereq: perm dept. 13 hrs 13 cr.



MATH 39500  Advanced Topics in Mathematics GER 3/B Topics to be studied in any given term will be announced prior to registration. May be repeated as topics vary, but not more than twice. prereq: MATH 25000, 26000; additional depend on specific course offered 3 hrs 3 cr.



MATH 45400  Calculus on Manifolds GER 3/B Functions on Euclidean space, implicit function theorem, Fubini’s Theorem, integration on chains and manifolds. prereq: MATH 35200 3 hrs 3 cr.



MATH 48500  Numerical Methods II GER 3/B Advanced topics in numerical solutions to partial differential equations, finite element method, von Neumann stability analysis, finite difference method. Examples from computational fluid dynamics and structural mechanics. crosslisted CSCI 48500 and PHYS 48500 prereq: MATH 38500 or permission of instructor 3 hrs 3 cr.



MATH 49000  Honors Seminar GER 3/B prereq: MATH 31100, 35100, perm dept. 3 hrs 3 cr.

Mathematics and Statistics: Statistics In planning their schedules, prospective majors should note that some advanced required courses are offered only once each year and several advanced elective courses are offered only once every other year. A rotation schedule for course offerings is available in the department office and on the departmental web site.
Prerequisites: Because of the nature of mathematics, the department recommends that students refrain from enrolling in any course that carries prerequisites unless these prerequisites have been completed with a grade of C or better. 


STAT 11000  Selected Topics in Elementary Probability and Statistics as Applied to Popular Science and Current Events GER 1/B Topics to be studied in any given term will be announced prior to registration. This course does not serve as a prerequisite for any other mathematics or statistics course. This course is a topics course that serves as an introduction to selected topics in probability and statistics with applications to the real world. prereq: CUNY Math Proficiency 3 hrs 3 cr









STAT 21400  Data Analysis Using Statistical Software GER 3/B Familiarity with the Windows computing environment encouraged. Analysis of variance, simple and multiple regression, nonparametric statistics, statistical model building prereq: STAT 21300 or MATH 12500 and STAT 11300 with grade of C or better in each course. 3 hrs 3 cr.



STAT 22000  Statistical Analysis in Forensics GER 3/B A second course in probability and statistics and the evaluation of evidence in the forensic sciences. prereq: STAT 21200 and either STAT 21300 or 11300 by permission of instructor. One of the above, i.e., STAT 21200 or STAT 21300 or STAT 11300 by permission of instructor may be taken as a coreq. 3 hrs 3 cr.



STAT 29500  Intermediate Topics in Statistics GER 3/B Topics to be studied in any given term will be announced prior to registration. May be repeated as topics vary, but not more than twice. prereq: STAT 21300 or STAT 11300 and MATH 12500; additional prereqs. depend on specific course offered. 3 hrs 3 cr.



STAT 31100  Probability Theory GER 3/B Combinatorics, distribution theory for discrete and continuous random variables, central limit theorems. prereq: MATH 25000. 3 hrs 3 cr.



STAT 31200  Stochastic Processes GER 3/B Discrete and continuous stochastic processes including Markov chains, birth processes, queues and Brownian motion. prereq: STAT 31100 3 hrs 3 cr.



STAT 31300  Introduction to Mathematical Statistics GER 3/B Estimation, hypothesis testing, confidence limits for normal, binomial, Poisson and exponential random variables. prereq: STAT 31100 3 hrs 3 cr.



STAT 31900  Bayesian Statistical Inference in the Sciences GER 3/B Fundamental principles and techniques of probability, statistical inference and data analysis, as pertains to the sciences, especially bioinformatics. Random variables and their distributions. Central limit theorem. Conditional probability, Markov chains and Hidden Markov Models. Bayesian statistical paradigm and inference using Markov chain Monte Carlo. Computer simulations and data analysis. prereq: MATH 15500; at least one of STAT 21200, STAT 21300 or STAT 21400 (or permission of instructor). Prerequisites waived for students who have passed STAT 311.
Familiarity with matrix algebra (at the level of MATH 160) and with the Windows computing environment are encouraged.
3 hrs 3 cr



STAT 35100  Advanced Biometrics GER 3/B A second course in statistics covering quantitative methods applicable in the life sciences. Topics include experimental design, life table analysis, ethical issues, survival analysis, logistic regression and Cox regression. Linear algebra recommended but not required. prereq: math at level of MATH 12500, STAT 11300, 21300 or equiv. intro. statistics course 3 hrs 3 cr.



STAT 39100  Independent Study GER 3/B Open to Jr/Sr majors only. Independent study in which a topic of interest is selected by the student. The study is carried out under the direction of a faculty member. prereq: perm. dept. 1 hr. 1 cr.







STAT 39500  Advanced Topics in Statistics GER 3/B Topics to be studied in any given term will be announced prior to registration. May be repeated as topics vary, but not more than twice. prereq: STAT 31100; STAT 31200 or 31300; additional prereqs. depend on specific course offered 3 hrs 3 cr.



STAT 48600  Elements of Visualization GER 3/B The structure and purpose of visualization systems; includes fully developed examples from statistics and applied mathematics. Final project required. prereq: MATH 38500 (or CSCI 38500, PHYS 38500) or all of MATH 16000, MATH 25000 and STAT 21300.
3 hrs 3 cr.

Medical Laboratory Science 


MLS 30000  Fundamental Concepts and Techniques in the Medical Laboratory Function of the medical laboratory, data analysis and operation of basic laboratory equipment. Approximately 12 informal laboratory hours are required to practice the use of equipment. MLS 60000 is the graduate component of this course prereq: BIOL 10000, 10200, CHEM 10200, 10300, 10400, 10500 or equiv. 3 hrs (2 lec, 1 lab) 3 cr.



MLS 31200  Human Physiology: Integration and Control Study of function at the cellular and systemic level, with emphasis on the integrated organism and associated control systems. Electronic resources are used extensively in this course. prereq: BIOL 10000 and 10200, CHEM 10400, 10500 or equiv. 3 hrs 3 cr.



MLS 34700  Human Histology Structure and function of normal human tissues and cells, including systematic study of microscopic morphology. coreq: MLS 31200 5 hrs (2 lec, 3 lab) 3 cr.



MLS 34900  Hematology Study of normal and pathological conditions of blood. Use of current diagnostic techniques to analyze peripheral blood and bone marrow, differential counting and blood banking. prereq or coreq: MLS 30000 5 hrs (2 lec, 3 lab) 3 cr.



MLS 35100  Clinical Miobiology I Properties and mechanisms of pathogenesis of microorganisms associated with disease and the antimicrobial agents used to control them. prereq or coreq: MLS 30000 5 hrs (2 lec, 3 lab) 3 cr.



MLS 35200  Clinical Miobiology II Continuation of MLS 35100 with particular emphasis on anaerobic bacteria, fungi, and viruses. Diagnostic strategies using classical, serological and molecular techniques. prereq: MLS 30000, 35100 or equiv. 5 hrs (2 lec, 3 lab) 4



MLS 35400  Clinical Biochemistry I: Biomolecules & Metabolism Basic macromolecules of life, including amino acids, lipids, nucleic acids, and carbohydrates; membrane biochemistry and signal transduction; cellular metabolism and bioenergetics; clinical and biochemical laboratory methods. prereq: CHEM 22200 5 hrs (2 lec, 3 lab) 3.5 cr.



MLS 35500  Clinical Biochemistry II: Genes to Proteins Structure and function of nucleic acids and proteins and the genetic basis of human disease. Laboratory methodologies include analysis of proteins, including enzymes in clinical samples, and manipulation of microbial nucleic acids. prereq: MLS 35400 5 hrs (2 lec, 3 lab) 3.5 cr.



MLS 36100  Computers and Data Processing in the Medical Laboratory Study of computer integration in the medical and research lab, data compilation and medical information systems. Approximately 3 additional informal lab hours are required weekly. prereq: MATH 15000 or STAT 11300 3 hrs (1 lec, 2 lab) 3 cr.



MLS 40000  Topics in Biomedical Sciences Topics vary from semester to semester and are announced before registration. 13 hrs 13 cr.


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