Undergraduate Program
Term Schedule
Spring 2022
Number  Title  Instructor  Time 

MATH 1301
Alex Iosevich
MW 9:00AM  10:15AM


The nature of mathematics and its application. Emphasis on concepts and understanding rather than acquisition of techniques. Intended for concentrators in the humanities and social sciences.


MATH 1411
Emmett Wyman
MW 9:00AM  10:15AM


Analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverses and composites. Their graphs and derivatives. Topics include limits, continuity, asymptotes, the definition of the derivative, derivatives and derivative rules for algebraic, trigonometric, exponentials, and logarithms. Implicit differentiation, related rates, linear appoximation, differentials, mean value theorem, maxima and minima, curve sketchings, l'Hospital's rule. MTH 141, 142, and 143 is a threesemester sequence that covers, at a slower pace, exactly the same material as the twosemester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing any of MTH 141, 142, 143, 161, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1414
Saul Lubkin
TR 2:00PM  3:15PM


Analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverses and composites. Their graphs and derivatives. Topics include limits, continuity, asymptotes, the definition of the derivative, derivatives and derivative rules for algebraic, trigonometric, exponentials, and logarithms. Implicit differentiation, related rates, linear appoximation, differentials, mean value theorem, maxima and minima, curve sketchings, l'Hospital's rule. MTH 141, 142, and 143 is a threesemester sequence that covers, at a slower pace, exactly the same material as the twosemester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing any of MTH 141, 142, 143, 161, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1421
Carl Mueller
MW 3:25PM  4:40PM


Prerequisites: MTH 141. Description: Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.This course cannot be taken for credit after completing MTH 143 or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 14213
Ivan Chio
TR 9:40AM  10:55AM


Prerequisites: MTH 141 Description: Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.This course cannot be taken for credit after completing MTH 143 or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1422
Firdavs Rakhmonov
MW 12:30PM  1:45PM


Prerequisites: MTH 141. Description: Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.This course cannot be taken for credit after completing MTH 143 or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1431
Anurag Sahay
TR 2:00PM  3:15PM


Prerequisites: MTH 141, MTH 142. Description: This is the third semester of a threesemester calculus sequence. Calculus with parametric curves and polar coordinates. Sequences, series, tests for convergence including comparison tests, integral test, alternating series test, ratio test, root test. Taylor and Maclaurin series. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing MTH 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1432
Mary Cook
MW 10:25AM  11:40AM


Prerequisites: MTH 141, MTH 142. Description: This is the third semester of a threesemester calculus sequence. Calculus with parametric curves and polar coordinates. Sequences, series, tests for convergence including comparison tests, integral test, alternating series test, ratio test, root test. Taylor and Maclaurin series. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing MTH 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1501
Cheng Zhang
MW 10:25AM  11:40AM


Logic, functions, algorithms, mathematical reasoning, mathematical induction, recurrence relations, techniques of counting, equivalence relations, graphs, trees. Required for Computer Science majors.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1502
Brian McDonald
MW 2:00PM  3:15PM


Logic, functions, algorithms, mathematical reasoning, mathematical induction, recurrence relations, techniques of counting, equivalence relations, graphs, trees. Required for Computer Science majors.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 150A1
Cheng Zhang
–


Prerequisites: Permission of instructor required. This module is only open to students in honors calculus. Description: Passing the course will grant a waiver to the MTH 150 requirement for the Computer Science program, but does not fulfill any other requirements that MTH 150 may fulfill.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1612
Joshua Sumpter
TR 2:00PM  3:15PM


Elementary real functions: algebraic, trigonometric, exponential, their inverses, graphs, derivatives and integrals; limits, l'Hopital's rules, Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications, substitution rule for integration. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 161 to MTH 141 up to one week following the first exam in MTH 161. Interested students should speak with their professor for details. This course cannot be taken for credit after completing any of MTH 141, 142, 143, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1613
Tritium Shen
MW 2:00PM  3:15PM


Elementary real functions: algebraic, trigonometric, exponential, their inverses, graphs, derivatives and integrals; limits, l'Hopital's rules, Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications, substitution rule for integration. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 161 to MTH 141 up to one week following the first exam in MTH 161. Interested students should speak with their professor for details. This course cannot be taken for credit after completing any of MTH 141, 142, 143, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1621
Saul Lubkin
TR 9:40AM  10:55AM


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 16211
Charles Wolf
MW 3:25PM  4:40PM


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1622
Sergio Chaves Ramirez
MW 10:25AM  11:40AM


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1623
Arda Huseyin Demirhan
MW 12:30PM  1:45PM


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1624
Bogdan Krstic
MW 2:00PM  3:15PM


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.


MATH 1641
Mary Cook
MW 10:25AM  11:40AM


Prerequisites: MTH 143, 162, or 172. Description: Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes' theorem. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1643
Tingsong Jiang
MW 12:30PM  1:45PM


Prerequisites: MTH 143, 162, or 172. Description: Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes' theorem. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1644
Mark Herman
TR 9:40AM  10:55AM


Prerequisites: MTH 143, 162, or 172. Description: Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes' theorem. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1651
Jonathan Pakianathan
MW 10:25AM  11:40AM


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1652
Eric Hopper
MW 12:30PM  1:45PM


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1653
Juan Rivera Letelier
MW 9:00AM  10:15AM


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1654
Carlos Rojas Mena
MW 2:00PM  3:15PM


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 1721
Steven Gonek
TR 12:30PM  1:45PM


Prerequisites: MTH 171 Description: This course is a continuation of MTH 171. Note: The honors calculus sequence regulation requires that students earn at least a B in honors calculus to continue to the next course in sequence


MATH 1741
Allan Greenleaf
MW 10:25AM  11:40AM


This course is a continuation of MTH 173.


MATH 2001
Naomi Jochnowitz
MW 12:30PM  1:45PM


Prerequisites: MATH 162 or equivalent. Description: Techniques and methods of proof used in mathematics and computer science. Logical reasoning, mathematical induction, relations, functions. Applications to group theory or real analysis.A significant focus of this course is developing proof writing skills, which are central to the transition to higher mathematics. Students cannot take MATH 200 for credit after completion of MATH 172 or 235. Students wishing an exception can petition the mathematics department undergraduate committee by emailing mathdugs@lists.rochester.edu.


MATH 200W1
Naomi Jochnowitz
MW 12:30PM  1:45PM


Crosslisted with Math 200 Descriiption: Writing intensive version of Math 200


MATH 2011
Thomas Tucker
MW 10:25AM  11:40AM


Cross Listed: MTH 201 (P), STT 201 Prerequisites: MTH 162 or equivalent, MTH 164 recommended. Same as STT 201. Description: Probability spaces; combinatorial problems; random variables and expectations; discrete and continuous distributions; generating functions; independence and dependence; binomial, normal, and Poisson laws; laws of large numbers. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 201. MTH 162 and 201 cannot be taken concurrently.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 2012
Joshua Sumpter
TR 12:30PM  1:45PM


Cross Listed: MTH 201 (P), STT 201 Prerequisites: MTH 162 or equivalent, MTH 164 recommended. Same as STT 201. Description: Probability spaces; combinatorial problems; random variables and expectations; discrete and continuous distributions; generating functions; independence and dependence; binomial, normal, and Poisson laws; laws of large numbers. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 201. MTH 162 and 201 cannot be taken concurrently.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 2021
Sevak Mkrtchyan
MW 12:30PM  1:45PM


Prerequisites: MATH 201. Description: Theory and applications of random processes, including Markov chains, Poisson processes, birthanddeath processes, random walks.


MATH 2031
Javier Bautista
TR 3:25PM  4:40PM


Cross Listed: MTH 203 (P), STT 203 Prerequisites: MTH 201 Description: Discrete and continuous probability distributions and their properties. Principle of statistical estimation and inference. Point and interval estimation. Maximum likelihood method for estimation and inference. Tests of hypotheses and confidence intervals, contingency tables, and related topics.


MATH 2101
Alexander Carney
MW 2:00PM  3:15PM


Prerequisites: FIN 205 and 206 and (MTH 143 or 162) and (one of STT 211, 212, 213, ECO 230, or MTH 201). Description: Mathematical concepts and techniques underlying finance theory; arbitrage pricing theory and option pricing. Finance track and FEC students should take FIN 205/206 before MTH 210. Other students can seek instructor permission.


MATH 2331
Alexander Carney
MW 12:30PM  1:45PM


Prerequisites: Some mathematical sophistication required. MTH 162 or 171 or 230 recommended. Description: A mathematicallyoriented inroduction to modern cryptography: weaknesses of historical cryptosystems, modular arithmetic, primality testing and factorization algorithms, privatekey/symmetric cryptosystems, publickey/asymmetric cryptosystems and keysharing (including RSA and DiffieHellman). Additional topics may include zeroknowledge protocols, digital signatures, homomorphic encryption and secured computation, elliptic curve cryptography, latticebased cryptography, and other applications such as digital voting and cryptocurrencies. The course will include a technical paper exploring a modern topic of each student’s choice.


MATH 2353
Cheng Zhang
MW 2:00PM  3:15PM


Prerequisites: MTH 165. MTH 200W recommended. Description: Finitedimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 2354
Eric Hopper
MW 10:25AM  11:40AM


Prerequisites: MTH 165. MTH 200W recommended. Description: Finitedimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.


MATH 235W1
Cheng Zhang
MW 2:00PM  3:15PM


Crosslisted with MATH 235 Description: Writing intensive version of MATH 235


MATH 235W2
Eric Hopper
MW 10:25AM  11:40AM


Crosslisted with MATH 235 Description: Writing intensive version of MATH 235


MATH 2363
Ivan Chio
TR 2:00PM  3:15PM


Prerequisites: MATH 235 or 173. Description: Basic algebraic structures, including groups, rings, and fields with applications to specific examples.


MATH 2364
Dinesh Thakur
MW 2:00PM  3:15PM


Basic algebraic structures, including groups, rings, and fields with applications to specific examples.


MATH 236H2
Jonathan Pakianathan
MW 2:00PM  3:15PM


Prerequisites: MATH 235 or 173. Description: Honors version of MATH 236.


MATH 236HW1
Jonathan Pakianathan
MW 2:00PM  3:15PM


Crosslisted with MATH 236H Description: Writing intensive version of MATH 236H


MATH 236W1
Ivan Chio
TR 2:00PM  3:15PM


Crosslisted with MATH 236 Description: Writing intensive version of MATH 236


MATH 236W2
Dinesh Thakur
MW 2:00PM  3:15PM


Crosslisted with MATH 236 Description: Writing intensive version of MATH 236


MATH 2402
Bogdan Krstic
MW 12:30PM  1:45PM


Prerequisites: MATH 173 or (MATH 164 and MATH 235) or (MATH 164 and MATH 200). Description: Review of set theory; metric spaces and topological spaces; functions and continuous functions; convergence, completeness, connectedness, and compactness; applications to surfaces.


MATH 240H2
Sergio Chaves Ramirez
MW 12:30PM  1:45PM


Prerequisites: MTH 173 or (MTH 164 and MTH 235) or (MTH 164 and MTH 200). Description: Honors version of MTH 240.


MATH 240HW1
Sergio Chaves Ramirez
MW 12:30PM  1:45PM


Crosslisted with MATH 240H Description: Writing intensive version of MATH 240H


MATH 240W1
Bogdan Krstic
MW 12:30PM  1:45PM


Crosslisted with MATH 240 Description: Writing intensive version of MATH 240


MATH 2481
Charles Wolf
MW 10:25AM  11:40AM


Prerequisites: MTH 173 or MTH 235 or (MTH 200 and MTH 165). Description: Paths, circuits, trees; bipartite graphs, matching problems; unicursal graphs, Hamiltonian circuits, factors; independent paths and sets; matrix representations; planar graphs; coloring problems.


MATH 2631
Dan Geba
MW 10:25AM  11:40AM


Prerequisites: MTH 165 or 173. Description: Theoretical approach to ordinary differential equations and the qualitative behavior of their solutions.


MATH 2821
Emmett Wyman
MW 2:00PM  3:15PM


Prerequisites: MTH 164 or MTH 174 (MTH 200 or MTH 235 recommended unless you have taken MTH 174). Description: Complex differentiation and integration, analytic functions, singularities, residues, poles, power series, conformal mapping, with some applications. This course is independent of MTH 281.


MATH 2822
Arda Huseyin Demirhan
MW 10:25AM  11:40AM


Prerequisites: MTH 164 or MTH 174 (MTH 200 or MTH 235 recommended unless you have taken MTH 174). Description:Complex differentiation and integration, analytic functions, singularities, residues, poles, power series, conformal mapping, with some applications. This course is independent of MTH 281.


MATH 2851
Dan Geba
MW 11:50AM  1:05PM


Prerequisites: MTH 164 and 165, or MTH 174. Description: Topics emphasized can vary yeartoyear. Typical topics covered are: Minimum principles; eigenvalues and dynamical systems; constraints and Lagrange multipliers; differential equations of equilibrium; calculus of variations; stability and chaos; nonlinear conservation laws.


MATH 2871
William Renninger
TR 11:05AM  12:20PM


This course introduces techniques in mathematical study of optical phenomena. Emphasis is places on gaining insight and experience in the use of these powerful and elegant tools for describing, solving and resolving optical systems and schema.


MATH 2872
William Renninger
F 2:00PM  3:15PM


Techniques used in mathematical study of optical phenomena. Emphasis on gaining insight and experience in the use of these powerful and elegant tools for describing, solving and resolving optical systems and schema.


MATH 2873
William Renninger
F 2:00PM  3:15PM


Techniques used in mathematical study of optical phenomena. Emphasis on gaining insight and experience in the use of these powerful and elegant tools for describing, solving and resolving optical systems and schema.


MATH 300W1
Kalyani Madhu
MW 2:00PM  3:15PM


Prerequisites: Some mathematical sophistication required. MATH 161 or equivalent recommended. The nature and style of mathematics in ancient Babylonia, Egypt, and Greece; medieval and Renaissance Europe; seventeenthcentury Europe; and some aspects of the development of abstraction and rigor in analysis and set theory since 1700. This course has a limited number of seats. Students that need an upperlevel writing course in mathematics can explore the alternatives of MATH 200W or MATH 391W. See the Math Department website for more information.


MATH 3911
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–


Independent Study in Mathematics. Special work arranged individually. An online independent study form is available at: https://www.rochester.edu/college/ccas/handbook/independentstudies.html Registration for Independent Study courses needs to be completed thru the instructions for online independent study registration. 

MATH 3941
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–


Math 394  An online independent study form is available at: https://www.rochester.edu/college/ccas/handbook/independentstudies.html. Registration for Independent Study courses needs to be completed thru the instructions for online independent study registration. 

MATH 3951
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Math 395 An online independent study form is available at: https://www.rochester.edu/college/ccas/handbook/independentstudies.html Registration for Independent Study courses needs to be completed thru the instructions for online independent study registration. 
Spring 2022
Number  Title  Instructor  Time 

Monday and Wednesday  
MATH 1301
Alex Iosevich


The nature of mathematics and its application. Emphasis on concepts and understanding rather than acquisition of techniques. Intended for concentrators in the humanities and social sciences. 

MATH 1411
Emmett Wyman


Analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverses and composites. Their graphs and derivatives. Topics include limits, continuity, asymptotes, the definition of the derivative, derivatives and derivative rules for algebraic, trigonometric, exponentials, and logarithms. Implicit differentiation, related rates, linear appoximation, differentials, mean value theorem, maxima and minima, curve sketchings, l'Hospital's rule. MTH 141, 142, and 143 is a threesemester sequence that covers, at a slower pace, exactly the same material as the twosemester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing any of MTH 141, 142, 143, 161, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1653
Juan Rivera Letelier


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1641
Mary Cook


Prerequisites: MTH 143, 162, or 172. Description: Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes' theorem. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1741
Allan Greenleaf


This course is a continuation of MTH 173. 

MATH 2354
Eric Hopper


Prerequisites: MTH 165. MTH 200W recommended. Description: Finitedimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 2822
Arda Huseyin Demirhan


Prerequisites: MTH 164 or MTH 174 (MTH 200 or MTH 235 recommended unless you have taken MTH 174). Description:Complex differentiation and integration, analytic functions, singularities, residues, poles, power series, conformal mapping, with some applications. This course is independent of MTH 281. 

MATH 1651
Jonathan Pakianathan


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 235W2
Eric Hopper


Crosslisted with MATH 235 Description: Writing intensive version of MATH 235 

MATH 2631
Dan Geba


Prerequisites: MTH 165 or 173. Description: Theoretical approach to ordinary differential equations and the qualitative behavior of their solutions. 

MATH 2481
Charles Wolf


Prerequisites: MTH 173 or MTH 235 or (MTH 200 and MTH 165). Description: Paths, circuits, trees; bipartite graphs, matching problems; unicursal graphs, Hamiltonian circuits, factors; independent paths and sets; matrix representations; planar graphs; coloring problems. 

MATH 1622
Sergio Chaves Ramirez


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1501
Cheng Zhang


Logic, functions, algorithms, mathematical reasoning, mathematical induction, recurrence relations, techniques of counting, equivalence relations, graphs, trees. Required for Computer Science majors.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1432
Mary Cook


Prerequisites: MTH 141, MTH 142. Description: This is the third semester of a threesemester calculus sequence. Calculus with parametric curves and polar coordinates. Sequences, series, tests for convergence including comparison tests, integral test, alternating series test, ratio test, root test. Taylor and Maclaurin series. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing MTH 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 2011
Thomas Tucker


Cross Listed: MTH 201 (P), STT 201 Prerequisites: MTH 162 or equivalent, MTH 164 recommended. Same as STT 201. Description: Probability spaces; combinatorial problems; random variables and expectations; discrete and continuous distributions; generating functions; independence and dependence; binomial, normal, and Poisson laws; laws of large numbers. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 201. MTH 162 and 201 cannot be taken concurrently.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 2851
Dan Geba


Prerequisites: MTH 164 and 165, or MTH 174. Description: Topics emphasized can vary yeartoyear. Typical topics covered are: Minimum principles; eigenvalues and dynamical systems; constraints and Lagrange multipliers; differential equations of equilibrium; calculus of variations; stability and chaos; nonlinear conservation laws. 

MATH 240W1
Bogdan Krstic


Crosslisted with MATH 240 Description: Writing intensive version of MATH 240 

MATH 2402
Bogdan Krstic


Prerequisites: MATH 173 or (MATH 164 and MATH 235) or (MATH 164 and MATH 200). Description: Review of set theory; metric spaces and topological spaces; functions and continuous functions; convergence, completeness, connectedness, and compactness; applications to surfaces. 

MATH 2331
Alexander Carney


Prerequisites: Some mathematical sophistication required. MTH 162 or 171 or 230 recommended. Description: A mathematicallyoriented inroduction to modern cryptography: weaknesses of historical cryptosystems, modular arithmetic, primality testing and factorization algorithms, privatekey/symmetric cryptosystems, publickey/asymmetric cryptosystems and keysharing (including RSA and DiffieHellman). Additional topics may include zeroknowledge protocols, digital signatures, homomorphic encryption and secured computation, elliptic curve cryptography, latticebased cryptography, and other applications such as digital voting and cryptocurrencies. The course will include a technical paper exploring a modern topic of each student’s choice. 

MATH 240H2
Sergio Chaves Ramirez


Prerequisites: MTH 173 or (MTH 164 and MTH 235) or (MTH 164 and MTH 200). Description: Honors version of MTH 240. 

MATH 2021
Sevak Mkrtchyan


Prerequisites: MATH 201. Description: Theory and applications of random processes, including Markov chains, Poisson processes, birthanddeath processes, random walks. 

MATH 200W1
Naomi Jochnowitz


Crosslisted with Math 200 Descriiption: Writing intensive version of Math 200 

MATH 2001
Naomi Jochnowitz


Prerequisites: MATH 162 or equivalent. Description: Techniques and methods of proof used in mathematics and computer science. Logical reasoning, mathematical induction, relations, functions. Applications to group theory or real analysis.A significant focus of this course is developing proof writing skills, which are central to the transition to higher mathematics. Students cannot take MATH 200 for credit after completion of MATH 172 or 235. Students wishing an exception can petition the mathematics department undergraduate committee by emailing mathdugs@lists.rochester.edu. 

MATH 240HW1
Sergio Chaves Ramirez


Crosslisted with MATH 240H Description: Writing intensive version of MATH 240H 

MATH 1652
Eric Hopper


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1643
Tingsong Jiang


Prerequisites: MTH 143, 162, or 172. Description: Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes' theorem. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1623
Arda Huseyin Demirhan


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1422
Firdavs Rakhmonov


Prerequisites: MTH 141. Description: Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.This course cannot be taken for credit after completing MTH 143 or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 2821
Emmett Wyman


Prerequisites: MTH 164 or MTH 174 (MTH 200 or MTH 235 recommended unless you have taken MTH 174). Description: Complex differentiation and integration, analytic functions, singularities, residues, poles, power series, conformal mapping, with some applications. This course is independent of MTH 281. 

MATH 300W1
Kalyani Madhu


Prerequisites: Some mathematical sophistication required. MATH 161 or equivalent recommended. The nature and style of mathematics in ancient Babylonia, Egypt, and Greece; medieval and Renaissance Europe; seventeenthcentury Europe; and some aspects of the development of abstraction and rigor in analysis and set theory since 1700. This course has a limited number of seats. Students that need an upperlevel writing course in mathematics can explore the alternatives of MATH 200W or MATH 391W. See the Math Department website for more information. 

MATH 2353
Cheng Zhang


Prerequisites: MTH 165. MTH 200W recommended. Description: Finitedimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 236W2
Dinesh Thakur


Crosslisted with MATH 236 Description: Writing intensive version of MATH 236 

MATH 236HW1
Jonathan Pakianathan


Crosslisted with MATH 236H Description: Writing intensive version of MATH 236H 

MATH 236H2
Jonathan Pakianathan


Prerequisites: MATH 235 or 173. Description: Honors version of MATH 236. 

MATH 2364
Dinesh Thakur


Basic algebraic structures, including groups, rings, and fields with applications to specific examples. 

MATH 235W1
Cheng Zhang


Crosslisted with MATH 235 Description: Writing intensive version of MATH 235 

MATH 2101
Alexander Carney


Prerequisites: FIN 205 and 206 and (MTH 143 or 162) and (one of STT 211, 212, 213, ECO 230, or MTH 201). Description: Mathematical concepts and techniques underlying finance theory; arbitrage pricing theory and option pricing. Finance track and FEC students should take FIN 205/206 before MTH 210. Other students can seek instructor permission. 

MATH 1654
Carlos Rojas Mena


Prerequisites: MTH 143, 162, or MTH 172. NOTE: MTH 164 is not a prerequisite for MTH 165. Due to overlapping content, it is not recommended to take both MTH 163 and 165. Description: Matrix algebra and inverses, Gaussian elimination, determinants, vector spaces, eigenvalue problems. First order differential equations, linear second order differential equations with constant coefficients, undetermined coefficients, linear systems of differential equations. Applications to physical, engineering, and life sciences. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 165. MTH 162 and 165 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1624
Bogdan Krstic


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1613
Tritium Shen


Elementary real functions: algebraic, trigonometric, exponential, their inverses, graphs, derivatives and integrals; limits, l'Hopital's rules, Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications, substitution rule for integration. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 161 to MTH 141 up to one week following the first exam in MTH 161. Interested students should speak with their professor for details. This course cannot be taken for credit after completing any of MTH 141, 142, 143, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1502
Brian McDonald


Logic, functions, algorithms, mathematical reasoning, mathematical induction, recurrence relations, techniques of counting, equivalence relations, graphs, trees. Required for Computer Science majors.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 16211
Charles Wolf


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1421
Carl Mueller


Prerequisites: MTH 141. Description: Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.This course cannot be taken for credit after completing MTH 143 or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

Tuesday and Thursday  
MATH 14213
Ivan Chio


Prerequisites: MTH 141 Description: Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time.This course cannot be taken for credit after completing MTH 143 or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1621
Saul Lubkin


Prerequisites: MTH 161 or equivalent. Description: Techniques of integration, improper integrals, applications to geometry and physics. Infinite series, Taylor series in one variable. Plane curves, parametric equations, polar coordinates, arc length. NOTE: Either MTH 164 or 165 can be taken after MTH 162 or 143. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 162 to MTH 142 up to one week following the first exam in MTH 162. Interested students should speak with their professor for details. This course cannot be taken for credit after completing MTH 143. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1644
Mark Herman


Prerequisites: MTH 143, 162, or 172. Description: Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes' theorem. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 2871
William Renninger


This course introduces techniques in mathematical study of optical phenomena. Emphasis is places on gaining insight and experience in the use of these powerful and elegant tools for describing, solving and resolving optical systems and schema. 

MATH 1721
Steven Gonek


Prerequisites: MTH 171 Description: This course is a continuation of MTH 171. Note: The honors calculus sequence regulation requires that students earn at least a B in honors calculus to continue to the next course in sequence 

MATH 2012
Joshua Sumpter


Cross Listed: MTH 201 (P), STT 201 Prerequisites: MTH 162 or equivalent, MTH 164 recommended. Same as STT 201. Description: Probability spaces; combinatorial problems; random variables and expectations; discrete and continuous distributions; generating functions; independence and dependence; binomial, normal, and Poisson laws; laws of large numbers. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 201. MTH 162 and 201 cannot be taken concurrently.This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. 

MATH 1414
Saul Lubkin


Analysis of the elementary real functions: algebraic, trigonometric, exponentials and their inverses and composites. Their graphs and derivatives. Topics include limits, continuity, asymptotes, the definition of the derivative, derivatives and derivative rules for algebraic, trigonometric, exponentials, and logarithms. Implicit differentiation, related rates, linear appoximation, differentials, mean value theorem, maxima and minima, curve sketchings, l'Hospital's rule. MTH 141, 142, and 143 is a threesemester sequence that covers, at a slower pace, exactly the same material as the twosemester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing any of MTH 141, 142, 143, 161, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1431
Anurag Sahay


Prerequisites: MTH 141, MTH 142. Description: This is the third semester of a threesemester calculus sequence. Calculus with parametric curves and polar coordinates. Sequences, series, tests for convergence including comparison tests, integral test, alternating series test, ratio test, root test. Taylor and Maclaurin series. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing MTH 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 1612
Joshua Sumpter


Elementary real functions: algebraic, trigonometric, exponential, their inverses, graphs, derivatives and integrals; limits, l'Hopital's rules, Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications, substitution rule for integration. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. Students can drop from MTH 161 to MTH 141 up to one week following the first exam in MTH 161. Interested students should speak with their professor for details. This course cannot be taken for credit after completing any of MTH 141, 142, 143, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form. 

MATH 2363
Ivan Chio


Prerequisites: MATH 235 or 173. Description: Basic algebraic structures, including groups, rings, and fields with applications to specific examples. 

MATH 236W1
Ivan Chio


Crosslisted with MATH 236 Description: Writing intensive version of MATH 236 

MATH 2031
Javier Bautista


Cross Listed: MTH 203 (P), STT 203 Prerequisites: MTH 201 Description: Discrete and continuous probability distributions and their properties. Principle of statistical estimation and inference. Point and interval estimation. Maximum likelihood method for estimation and inference. Tests of hypotheses and confidence intervals, contingency tables, and related topics. 

Friday  
MATH 2872
William Renninger


Techniques used in mathematical study of optical phenomena. Emphasis on gaining insight and experience in the use of these powerful and elegant tools for describing, solving and resolving optical systems and schema. 

MATH 2873
William Renninger


Techniques used in mathematical study of optical phenomena. Emphasis on gaining insight and experience in the use of these powerful and elegant tools for describing, solving and resolving optical systems and schema. 