Course Description: 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 three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:00-09:30am 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.

Course Description: 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 three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:00-09:30am 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.

Course Description: 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 three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:00-09:30am 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.

Course Description: 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 three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:00-09:30am 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.

Course Description: 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 three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:00-09:30am 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.

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 08:00-09:30am 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.

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 08:00-09:30am 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.

Description: This is the third semester of a three-semester 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 08:00-09:30am 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.

Description: This is the third semester of a three-semester 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 08:00-09:30am 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.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am 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.

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 08:00-09:30am 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.

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 08:00-09:30am 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.

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 08:00-09:30am 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.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

Description: Covers the material of MTH 161-165 in greater depth from the standpoint of both theory and applications. Students completing this sequence successfully will have met the requirements of MTH 235 and can begin taking upper-level courses immediately. Credit: 5 hours for each course in the 171-174 sequence. This course uses the Tuesday/Thursday 08:00-09:30am Common Exam time.

Description: Covers the material of MTH 161-165 in greater depth from the standpoint of both theory and applications. Students completing this sequence successfully will have met the requirements of MTH 235 and can begin taking upper-level courses immediately. Credit: 5 hours for each course in the 171-174 sequence. This course uses the Tuesday/Thursday 08:00-09:30am Common Exam time.

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.

Description: Credit: 5 hours for each course in this sequence. An honors sequence covering the material of MTH 161-165 in greater depth from the standpoint of both theory and applications. Students completing this sequence successfully will have met the requirements of MTH 235 and can begin taking upper-level courses immediately.This course uses the Tuesday/Thursday 08:00-09:30am Common Exam time.

Description: General techniques and approaches to solving difficult nonstandard problems such as those on the Putnam examination.

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. This course partially satisfies the upper-level writing requirement in mathematics. Students cannot take MTH 200W for credit after completion of MTH 172 or 235. Students wishing an exception can petition the mathematics department undergraduate committee by emailing mathdugs@lists.rochester.edu.

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. This course partially satisfies the upper-level writing requirement in mathematics. Students cannot take MTH 200W for credit after completion of MTH 172 or 235. Students wishing an exception can petition the mathematics department undergraduate committee by emailing mathdugs@lists.rochester.edu.

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 08:00-09:30am Common Exam time.

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 08:00-09:30am Common Exam time.

Prerequisites: MTH 201

Description: Principles of statistical estimation and inference, point and interval estimation. Maximum likelihood method for estimation and inference. Tests of hypotheses and confidence intervals, multivariate normal distribution, linear hypotheses, contingency tables, and related topics.

Description: Linear and nonlinear programming, simplex method, duality theory, sensitivity analysis, shipping and assignment problems, Karmakar's algorithm, genetic algorithms, game theory, genetic algorithms, flow problems.

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.

Description: Divisibility, primes, congruences, quadratic residues and quadratic reciprocity, primitive roots, and selected topics, with applications to cryptography and computer science.

Description: Finite-dimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.This course uses the Tuesday/Thursday 08:00-09:30am Common Exam time.

Description: Finite-dimensional vector spaces over R and C axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.This course uses the Tuesday/Thursday 08:00-09:30am Common Exam time.

Cross-listed with MATH 235-3

Description: Writing intensive version of MATH 235-3

Cross-listed with MATH 235-2

Description: Writing intensive version of MATH 235-2

Description: Continuation of MTH 236 covering field theory and Galois theory including proofs of the impossibility of trisecting angles, doubling the cube, squarng the circle, and solving 5th-degree polynomials'.

Description: Permutations and combinations; enumeration through recursions and generating functions; Polya's theory of counting; finite geometrics and block designs; counting in graphs.

Description: Torsion, curvature; curves and surfaces in 3-space.

Description: Real number system, continuity and uniform continuity, mean value theorems, bounded variation, Riemann-Stieltjes integral, sequences of functions.