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Math 113 corteel

Linear equations and geometric sequences with mathematical modeling Quadratic equations including quadratic formula and applications Inequalities including linear, polynomial and rational inequalities Graphs of equations including intercepts and symmetry Cartesian plane, Lines in the plane review with applications Functions with modeling Graphs of functions, including translations and reflections Combinations of functions including composition Inverse functions Quadratic functions graphing and max-min problems Polynomial functions including graphing and the intermediate value theorem Graphing rational functions with applications.

Definition, graph, models Solving logarithmic and exponential equations Application of exponential and logarithmic functions. Angles, radians Trigonometric functions, graphs Trigonometric equations Law of sines and Law of cosines. Systems of equations in two or more variables Substitutions Elimination Gauss-Jordan or Gaussian elimination Systems of inequalities in two variables Matrices and matrix operations Sequences and summation notation including arithmetic sequences and geometric sequences.

Give to the Math Department. These grants are highly competitive with a … Read More. The prestigious fellowships provide support for faculty scientists to extend a one-term, university-sponsored sabbatical into a full year, allowing them to focus solely on advancing fundamental research in mathematics … Read More.

Congratulations to our Putnam Team that ranked 14th in the competition In a total of 4, students from institutions from all over the US and Canada participated in the 80th Putnam competition.

The University of Maryland Putnam team was ranked 14th out of participating schools. Every year in the … Read More. This distinction is awarded to a young researcher 10 years within the PhD in the international conference on hyperbolic problems. William E. Kirwan Hall, home of the Mathematics Department.

The Experimental Geometry Lab explores the structure of low dimensional space. Hyperbolic Space Tiled with Dodecahedra. Isotropoic Gaussian random field with Matern correlation. Part of the proof of the Peter-Weyl theorem. To Top.If you're seeing this message, it means we're having trouble loading external resources on our website.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Login Sign up Search for courses, skills, and videos.

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Early math Learn early elementary math—counting, shapes, basic addition and subtraction, and more. Counting : Early math. Addition and subtraction intro : Early math. Place value tens and hundreds : Early math. Addition and subtraction within 20 : Early math. Addition and subtraction within : Early math. Measurement and data : Early math.

Geometry : Early math. Kindergarten Learn kindergarten math—counting, basic addition and subtraction, and more. Addition and subtraction : Kindergarten. Measurement and geometry : Kindergarten. Addition and subtraction : 1st grade.

MATH 113: Calculus I

Measurement, data, and geometry : 1st grade. Addition and subtraction within : 2nd grade. Measurement, data, and geometry : 2nd grade. This course is aligned with Common Core standards. Intro to multiplication : 3rd grade. Addition, subtraction, and estimation : 3rd grade. Intro to division : 3rd grade. Understand fractions : 3rd grade.

Equivalent fractions and comparing fractions : 3rd grade. More with multiplication and division : 3rd grade.Olivier Mallet, Jehanne Dousse, Isaac Konan, Modular forms and quantum knot invariants, Banff, March Automorphic forms workshop, March, Dublin.

Hypergeometric series and their generalizations in algebra, geometry, number theory and physics, May 29 - June 1,Paris. Prospects in q-series and modular forms, July, Dublin. International Journal of Number Theory.

math 113 corteel

Ramanujan Journal. Bailey pairs and indefinite quadratic forms, II.

Math 55 and Math 113?

False theta functions In preparation. On weighted overpartitions related to some q-series in Ramanujan's lost notebook with Byunghcan Kim and Eunmi KimSubmitted. Generalizations of Capparelli's identity with Jehanne Dousse Bull. London Math. IMRN, Vol. Identities for overpartitions with even smallest parts with Min-Joo Jang Int.

Number Theory 14 Ramanujan-type partial theta identities and conjugate Bailey pairs, II. Multisums with Byungchan Kim Ramanujan J. Number Theory Phys. Mock theta double sums with Robert Osburn Glasgow Math.

math 113 corteel

Partial indefinite theta identities with Byungchan Kim J. Number Theory Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity with Byungchan Kim and Subong Lim Proc. A partition identity and the universal mock theta function g2 x;q with Kathrin Bringmann and Karl Mahlburg Math.For meetings changes and assistance with your teaching and research during this time.

Author: Sylvie Corteel Journal: Proc. Abstract: This paper gives a simple combinatorial proof of the second Rogers-Ramanujan identity by using cylindric plane partitions and the Robinson-Schensted-Knuth algorithm. References [Enhancements On Off] What's this? Memiors of the American Mathematical Society, No. Theory Ser. Ano. Gessel and C. KrattenthalerCylindric partitionsTrans. Algebraic Combin. A 72no. Garsia and S.

MilneA Rogers-Ramanujan bijectionJ. A 31no. An expository article based on presentations of Alex Postnikov. KnuthPermutations, matrices, and generalized Young tableauxPacific J. MR [17] C. KrattenthalerGrowth diagrams, and increasing and decreasing chains in fillings of Ferrers shapesAdv. AR, B46f, MR [22] L. Rogers and Srinivasa Ramanujan, Proof of certain identities in combinatorial analysisCamb. StanleyEnumerative combinatorics. IMRN 2Art.

ID rnm, MR References [1] George E. Krattenthaler, Cylindric partitionsTrans. Milne, A Rogers-Ramanujan bijectionJ. Knuth, Permutations, matrices, and generalized Young tableauxPacific J. Krattenthaler, Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapesAdv. B46f, 13 pp. Stanley, Enumerative combinatorics.Open the Navigation Management window, which can be used to view the full current branch of the menu tree, and edit it.

The information presented here is intended to describe the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to replace the instructional policies and course materials presented in class. Every effort is made to update this information on a routine basis.

However, if you have questions about enrollment, course materials, and pre-requisite skills, please check with your adviser or instructor. Course Description.

Current Sections. How can I save time delivering an advertisement to all houses in a development? How does mathematics assist in developing a plan to schedule priorities for event planning initiative? How is statistics used to describe the variation in income among college graduates? How can mathematics assist in planning election strategy? This course is designed to help answer these types of questions and others and prepare students in non-technical majors for college work, for their careers, and for mathematical challenges of life in general.

This course is a terminal math course — it does not prepare students for another math course. The course grade will not fulfill enrollment requirements for any other math course. Students whose majors require additional mathematics should enroll in other math courses such as Math or Math For instance, students should know how to work with fractions and percents.

However, students should wait until the first day of class to ensure the appropriate textbook and other course materials are purchased. You will need a calculator with basic arithmetic operations, and exponential exp and logarithm log functions. Also, it must be able to determine mean, median, and standard deviation on a data set. Older graphing calculators such as the TI would be sufficient. Graphing calculators such as the TI or TI plus are optional.

In most cases, the course meets three hours per week in either a MWF or Tues. Course enrollments are usually at most 30 students per class with some very small classes less than Assessment activities generally include tests, quizzes, group and individual work and projects.For meetings changes and assistance with your teaching and research during this time.

Abstract: We discuss a generalization of partitions, called overpartitions, which have proven useful in several combinatorial studies of basic hypergeometric series. After showing how a number of finite products occurring in -series have natural interpretations in terms of overpartitions, we present an introduction to their rich structure as revealed by -series identities. References [Enhancements On Off] What's this?

Corteel prism. MR 2. George E. AndrewsOn a calculus of partition functionsPacific J. MR 3. Generalizations of the Durfee squareJ. London Math. AndrewsProblems and prospects for basic hypergeometric functionsTheory and application of special functions Proc.

Advanced Sem. Center, Univ. Wisconsin, Madison, Wis. Wisconsin, Publ.

math 113 corteel

MR 5. With a foreword by J. MR 6. AndrewsPartitions and Durfee dissectionAmer. Reprint of the original. MR 9. AndrewsGeneralized Frobenius partitionsMem. AndrewsFreeman J. Dysonand Dean HickersonPartitions and indefinite quadratic formsInvent. Bressoud and M. Chapman, Partition identities arising from involutionsAustralas.

Corteel, Particle seas and basic hypergeometric seriesAdv. Theory Ser.A conjectured formula for the coefficients in this basis was given earlier in by Alexandersson. We give a new proof of D'Adderio's result which also proves the conjectured formula. The problem of finding such an e-expansion is surprisingly similar to the still open problem of Shareshian-Wachs, regarding the e-expansion of chromatic polynomials associated with unit-interval graphs.

We shall discuss this connection as well. Joint with Andy Wilson. The box-ball system is a cellular automaton in which a sequence of balls moves along a row of boxes. An interesting feature of this automaton is its soliton behavior: regardless of the initial state, the balls in the system eventually form themselves into connected blocks solitons which remain together for the rest of time.

InT. Lam, P. Pylyavskyy, and R. Sakamoto conjectured a formula which describes the solitons resulting from an initial state of the box-ball system in terms of the tropicalization of certain polynomials they called cylindric loop Schur functions.

In this talk, I will describe the various ingredients of this conjecture and discuss its proof. Among its many proofs, my favorite is a gorgeous bijection due to Andre Joyal in This talk will review Joyal's proof, and its recent revisitation by Tom Leinster in arXiv Leinster gives a beautiful q-analogue of the proof, that proves a q-analogous theorem of Fine and Herstein The -Grothendieck polynomials are simultaneous generalizations of Schubert and Grothendieck polynomials that arise in the study of the connective K-theory of the flag variety.

They can be calculated as a generating function of combinatorial objects known as pipe dreams, as well as recursively via geometrically-motivated divided difference operators. We combine these two points of view by defining a chromatic lattice model whose partition function is a -Grothendieck polynomial. Cluster algebras, as originally defined by Fomin and Zelevinsky, are characterized by binomial exchange relations.

Jeremy Lovejoy

A natural generalization of cluster algebras, due to Chekhov and Shapiro, allows the exchange relations to have arbitrarily many terms. A subset of these generalized cluster algebras can be associated with triangulations of orbifolds, analogous to the subset of ordinary cluster algebras associated with triangulated surfaces.

We then show that our construction can be extended to give expansions for generalized arcs on triangulated orbifolds. This is joint work with Esther Banaian. We introduce separable elements in finite Weyl groups, generalizing the well-studied class of separable permutations.

They enjoy nice properties in the weak Bruhat order, enumerate faces of the graph associahedron of the corresponding Dynkin diagrams, and can be characterized by pattern avoidance in the sense of Billey and Postnikov.

W for a generalized quotient of the symmetric group is always surjective when V is a principal order ideal, providing the first combinatorial proof of an inequality due originally to Sidorenko inanswering an open problem of Morales, Pak, and Panova. This is joint work with Christian Gaetz. In this talk we will discuss a new result about the double-dimer model: under certain conditions, the partition function for double-dimer configurations of a planar bipartite graph satisfies an elegant recurrence, related to the Desnanot-Jacobi identity from linear algebra.

A similar identity for the number of dimer configurations or perfect matchings of a graph was established nearly 20 years ago by Kuo and others. We will also explain one of the motivations for this work, which is a problem in Donaldson-Thomas and Pandharipande-Thomas theory that will be the subject of a forthcoming paper with Gautam Webb and Ben Young. A convex body is unconditional if it is symmetric with respect to reflections in all coordinate hyperplanes.


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