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<h1 class="read__title">Stanford math 18. I am an editor for Journal of the AMS, Algebra . </h1>

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<div class="read__info__author">Stanford math 18 A Course in Combinatorics, Second Edition, by van Lint and Wilson. Office: Room 382-C, Sloan Mathematical Center. Prerequisites: trigonometry, advanced algebra, and analysis of elementary functions, including exponentials and logarithms. edu Prerequisites Math 61CM and 62CM. The exam was out of 80 points; however, anything above 60 was considered excellent. Extension of morphisms to projective varieties, over nonsingular points of curves 4 No class Thursday. The textbook will be updated sometimes to fix typos. 1 O ce Hours Tu, Th 5-6:30 pm with Jens Reinhold at 380-380G, M 10:30am-12:30pm, W 1-2pm with Jonathan Luk at 380-382Z, or by appointment. Please note that Math Circle sections take place at set times Math 18 : Math 20: Calculus: Math 19 : Math 21: Calculus: Math 20 : Math 51: Linear Algebra, Multivariable Calculus, and Modern Applications: Math 21 : Math 52: Integral Calculus of Several Variables: Department of Mathematics Building 380, Stanford, California 94305 Phone: (650) 725 Play a Big Role in Supporting Fun Math Learning at Home. He is currently teaching Topics in Symplectic Geometry. In 2025, SMT will be held on April 11-12, 2025 for 800 high school contestants from around the United States. It combines important information on the brain with new evidence on the best ways to approach math effectively. Analysis and PDE are a major strength of Stanford’s Department of Mathematics, with strong connections to geometry and applied mathematics (since PDE describe fundamental aspects of these fields). Extending rational maps of nonsingular curves 1 1. I myself was placed into Math 19 but found the class to be essentially an easy A and should've been in Math 20 from the get-go. 15. ) For general background on mathematics and its role in the modern world, take a look at the five week survey course on mathematics (&quot;Mathematics: Making the Invisible Visible&quot;) Devlin gave at Stanford in fall 2012, available for free June 22 – July 18, 2025 4 Weeks The Stanford University Mathematics Camp has taught students much more than key concepts in contemporary mathematics. My mathematical work is supported by NSF Stanford Math Circle. Introduction to differential calculus of functions of one variable. 4. Summer School at Stanford, August 5-18, 2013 Teaching. Your feedback is very important to us. Free, Research-Based Materials for Supporting Family Math. Math 113: Linear algebra and matrix theory Akshay Venkatesh, MWF 10am in room 380-380X. Prof. For questions about the material and class discussions, we will use the Math 120 Piazza page. In this third year using the new book, we will regularly update the textbook link to fix typos. This course develops and enriches fundamental skills in foundational math to prepare students for success in calculus and other courses at Stanford that rely on quantitative methods (such as in MATH 18 (2 units, Autumn) develops fundamental skills to prepare for success in calculus (the Math 20 series) and other courses at Stanford that rely on quantitative methods. Many people have had negative experiences with SMT. 18. New material starts here 2 1. Menu: Main page; Research; Teaching. . 952: TheoryofDifferentialForms Lecturer: ProfessorVictorGuillemin Notesby: AndrewLin Spring2022 Introduction This class will follow the textbook “Differential Forms,” published by World Scientific and authored by Professor GuilleminandPeterHaine. Textbook: Sheldon Axler, Linear Algebra Done Right (2nd ed), required. More on integral closure in a eld extension 1 1. Wecanreachoutat vwg@math. 029F, Asher Wu, AlphaStar SIGMA, AlphaStar Academy,18 There have recently been lots of posts on here about Math 51, so I wanted to compile a list of answers to some common questions. Why Family Math? Stanford, CA 94305. Richard Taylor. Follow Us on Twitter Introduction to differential calculus of functions of one variable. Program participants have forged careers and friendships in what many say PLEASE SUPPORT OUR KICKSTARTER:https://www. c1v1 + c2v2) = c1A(v1) + c2A(v2). See detailed list of topics for the Math 50 series. The Math 51 textbook has been specially created by the Stanford Math department in consultation with colleagues in many other departments; it is electronic-only and free for anyone with an SUNetID. Szeg&#246; Assistant Professor stadl@stanford. Math circles are weekly online gatherings of high school, middle school, and elementary school students working on problems involving complex and advanced mathematical topics, guided by Geometry and algebra of vectors, matrices and linear transformations, eigenvalues of symmetric matrices, vector-valued functions and functions of several variables, partial derivatives and gradients, derivative as a matrix, chain rule in several variables, critical points and Hessian, least-squares, , constrained and unconstrained optimization in several variables, Lagrange multipliers. edu / zhiyuzhangmath[at]gmail. Session Two: Online. 01, but at a deeper and more rigorous level. Department of Mathematics Building 380, The Stanford Math Circle offers quarter-long sessions for elementary, middle, and high school students interested in math. Building 380, 383-W. Contribute to justingrimmer/Math18 development by creating an account on GitHub. Gauge Theory and Topology: in Celebration of Peter Kronheimer’s 60th Birthday, July 24-28, 2023. More detailed results have now been posted. Readings. IV. Iwahori-Metaplectic duality with Buciumas, Brubaker and Gusafsson. I enjoy teaching, working with people and services to math community. Math 120 | S18; Math 210A | F17 Online assignment #4 (due Sunday 10/18): read 5B, 5C, and p262–267 on minimal polynomial (skip 8. On the other hand, prior experience with PDEs is not required. How to Learn Math is a class for learners of all levels of mathematics. 304 - Undergraduate Seminar in Discrete Mathematics (Spring 2014) 18. Academics. Math 230A / Stat 310A – Theory of Probability. This material includes the basic See more This course develops and enriches fundamental skills in foundational math to prepare students for success in calculus and other courses at Stanford that rely on quantitative methods (such as in This course develops and enriches fundamental skills in foundational math to prepare students for success in calculus and other courses at Stanford that rely on quantitative methods (such as in Stanford University Mathematical Organization (SUMO) Stanford University Mathematics Camp (SUMaC) Stanford Pre-Collegiate Studies; Math Circle; Giving; Main content start. Stanford Math Circle is not a remediation or tutoring program. The official channel of the Stanford University Department of Mathematics, featuring a variety of video lectures on pure and applied mathematics. According to the course description for MATH 18, “A primary goal is to help students to hone the mathematical skills necessary to transition to quantitative coursework at Stanford, Let V and W be two vector spaces. I am fascinated by concrete examples (e. It combines really important information on the brain and learning with new evidence on the best ways to approach and learn math effectively. Find L both &#241; 3 vector in nonzero a orthogonal to that is and &#233; b 0 &#233; 0 0 b c and &#241;I&#233; o a and value of check Follow c a o a d b since c c a up b determined are c &#241; can be zero non by c works The vector True False Math 120: Groups and Rings. Subscribe. ) Lectures Tu, Th 9-10:20 at Herrin Hall Room T185 O ce Hours Tu 10:30-11:30 (or by rbamler@math. Sessions are held weekly online for grades 1-12 and both online and in-person for grades 9-12. Lecture notes for Math 256 B, Fluids part, Spring 2024 Lecture notes for Math 256 B, SPDE part, Spring 2024 MATH 108: Introduction to Combinatorics and Its Applications Topics: graphs, trees (Cayley's Theorem, application to phylogony), eigenvalues, basic enumeration (permutations, Stirling and Bell numbers), recurrences, generating functions, basic asymptotics. For reference, I took Math 51 in the Fall with Christine Taylor. D. geometry, and functions during high school, as well as readiness for calculus early in college. In J. The connection between “theoretical applied mathematics Department of Mathematics Stanford University Building 380, Sloan Hall Stanford, CA 94305, USA office: 383CC, Sloan Hall Photo Credit: Rod Searcey: Notes for my MSRI lectures on 3/13/18 pdf. Number Theory. The median score was in the 40s. Barbara Kimball Browning Professor in Humanities &amp; Sciences rltaylor@stanford. You may submit this form to add your student to the Waitlist for Stanford Math Circle, Winter Quarter 2024. Readings: Guide to Math 216: Foundations of algebraic geometry 2009-10 Spring quarter: Wednesday Friday 9:00-10:15 in 380-F (with many exceptions) An updated version of the notes will be gradually posted here, starting roughly September 1, 2010. [2]The university admitted its first students in 1891, [2 Integration is discussed for rational functions (a loose end from Math 20) and especially (improper) integrals for unbounded functions and &quot;to infinity&quot;: this shows up in contexts as diverse as escape velocity for a rocket, the present value of a perpetual yield asset, and important calculations in probability (including the famous &quot;bell curve Students new to Stanford often worry about making sure that they are enrolled in the class that most clearly corresponds to their skills, experience, and needs. Is Math 51 hard? Math 51 isn’t easy, but I wouldn’t call it hard. This is a great way to get extra help on your homework! At least 12 of the units applied toward the minor in Mathematics must be taken at Stanford. This course develops and enriches fundamental skills in foundational math to prepare students for success in calculus and other courses at Stanford that rely on quantitative methods (such as in biology, chemistry, computer science, economics, engineering, and physics). mit. The 18 freshmen in Jo Boaler’s seminar had demonstrated the academic promise needed to gain admission to Stanford, so it was striking that they Department of Mathematics Stanford University Building 380, Sloan Hall Stanford, CA 94305, USA office: 383CC, Sloan Hall Photo Credit: Rod Searcey: Notes for my MSRI lectures on 3/13/18 pdf. 316 - Seminar in Combinatorics (Fall 2013) 18. edu Office hours: Mon, Tu, Fri 11-12 (subject to change) Course assistant: Minyu Peng, with office hours: 8-10 AM Tu-Th. Update: click here for a much later version (really, a distant descendant) The description in the course guide: &quot;Introduces the basic notions and techniques of modern algebraic geometry. 318 - Topics in Combinatorics: Geometric Graph Theory (Spring 2013) Last fall, the Stanford Mathematics Department introduced a new course titled MATH 18: “Foundations for Calculus. Thanks to everyone involved! The results and the problems and solutions are now available. Math 120 will be a fast-moving, high-workload class. kickstarter. eduorstopbyroom2-270withanyquestions– If you are interested in becoming a peer math tutor, we hire new tutors at the start of Fall, Winter, and Spring Quarter of each academic year (if there are available positions). June 22, 2025 - July 18, 2025. More than 95 percent of undergraduates take a math class at Stanford, but too many arrive thinking math consists only of arbitrary formulas. H. Many homework exercises and reading assignments are taken from the book, so you should INTRODUCTION TO ALGEBRAIC GEOMETRY, CLASS 18 RAVI VAKIL Contents 1. e. Organizers 10. Explore Activities. Dr Jo Boaler is a Professor of Mathematics Education at Stanford University, and the co-founder of youcubed. See this mathoverflow page for interesting related discussion. Building 380, 383-FF . 383-E Stanford University The Math 53 textbook has been specially created by the Stanford Math department in consultation with colleagues in many other departments; it is electronic-only and free for anyone with an SUNetID. 2, 441-484. Join Our Mailing List. 48); review p122–125 on polynomials if necessary Mathematics Department Stanford University Summary of Math 51H Multivariable Calculus/Real Analysis Material The following is a brief summary of the main results covered in the multivariable calculus and real analysis part of 51H; you should of course know all these results and their proofs and be able to apply them in the manner required Stanford Math Tournament 2023 Online April 9, 2023 Stanford Math Tournament 2023 Online. This class will give learners of math the information to become powerful math learners, correct any misconceptions about 277 Followers, 18 Following, 8 Posts - Stanford Math Tournament (@stanfordmathtournament) on Instagram: &quot;Official Instagram for SMT🌲 Registration now open: SMT 2024 will take place on April 13!&quot; Stanford Math Tournament (SMT) will be returning in-person this year on April 13, 2024! *For registration and more information, please see our Much of the applied mathematics at Stanford happens outside of the Mathematics Department, at places such as the Statistics Department, the Institute for Computational Mathematics and Engineering, the Center for Turbulence Research, and various other science and engineering departments. See the Capstone page for more information. Professor Tadashi Tokieda - University of Cambridge - &quot;Toy Models&quot; - The Mathematical and Computational Finance Program at Stanford University (“MCF”) is one of the oldest and most established programs of its kind in the world. Math 152. Credit. Problem sets back at end. The kernel of A is the set ker A In a recent article, The Stanford Daily highlighted the Math Department's efforts to better support incoming students through the introduction of Math 18: Foundations for Limits and Continuity. Exotic 4-manifolds, December 16-18, 2023, Stanford. of Mathematics 2-237, Pages with significant mathematical content are available in pdf format (as well as dvi and postscript). Series of Functions. Professor: Ravi Vakil, vakil@math, 383-Q, office hours: Monday and Wednesday 4:30-5:30. *If you have not previously taken a calculus course at Stanford then you must have taken the math placement diagnostic How to Learn Math is a free self-paced class for learners of all levels of mathematics. Math 113, taught Winter 2013 at Stanford. EDITOR'S UPDATE, FEB. Math 51- Linear Algebra, Multivariable Calculus, and Modern Applications (5 units)covers linear algebra and multivariable differential calculus in a unified manner alongside applications related to many quantitative fields. The Stanford Math Tournament (SMT) is a contest organized by Stanford students, held on Stanford’s campus. Recitation Instructors. HW1 (due Thursday Jan 18, 2024) Section 13. pdf. 383-E Stanford University The official channel of the Stanford University Department of Mathematics, featuring a variety of video lectures on pure and applied mathematics. edu; Phone: (650) 721-2113 (Office) Fax: (650)-725-4066 . Emails : zyuzhang[at]stanford. 4 was skipped in Math 120 (I am told) but we will want to review the notion of solvable groups. VIII. 1 #1,4,5 lec03 (1). KHS admits up to 100 select applicants each year from across Stanford’s seven graduate schools, and delivers engaging experiences that prepare them to be visionary, courageous, Stanford Math Circle is not a remediation or tutoring program. g. In nite Series. The widespread use of computers makes it important for users of math to understand concepts: novel users of quantitative tools in the future will be those who understand ideas and how they fit with examples and applications. Joint Mathematics Meeting, January 3-6, 2024, San Francisco. A map A : V1 → W is a linear mapping if for all v1, v2 ∈ V1 and c1, c2 ∈ R, we have A. Application Deadline. 3. edu (650) 724-7377. Combinatorics Number Theory. ” The addition was a major step in the department’s ongoing efforts to make Math 41 and 42 cover the same material as Math 19-20-21, but in two quarters rather than three. Department of Mathematics Rm. Stanford University (officially Leland Stanford Junior University) [11] [12] is a private research university in Stanford, California, United States. Thus one HW problem from this section was included in HW7, and we'll discuss this notion before we discuss the problem of solvability by radicals in Section~14. Most students interested in this material will find Math 109 more appropriate. Julia Stadlmann. These courses cover material from pre-calculus (Math 18), single variable calculus (Math 19, 20, 21), through linear algebra and Mohammed Abouzaid joined our department in 2023 as a Professor of Mathematics. I am an editor for Journal of the AMS, Algebra Stanford University Mathematics Camp (SUMaC) was started in the fall of 1994 by Professors Rafe Mazzeo and Ralph Cohen. edu (650) 725-2236. VII. (We have done a lot of proofreading, but inevitably Department of Mathematics Stanford University Stanford CA 94305 USA; Office: 382U; E-mail: ryzhik@math. GL_n), heights, quasi-coherent sheaves, and analogs over finite fields, reals, p-adics, rational numbers, manifolds (with metrics / differentials), Analysis and PDE are a major strength of Stanford’s Department of Mathematics, with strong connections to geometry and applied mathematics (since PDE describe fundamental aspects Applied Math Applied mathematics at the Stanford Department of Mathematics focuses, very broadly, on the areas of scientific computing, stochastic modeling, and Math 120: Groups and Rings. 725: Introduction to Algebraic Geometry. The first half of the quarter gives a brisk-paced coverage of probability and random processes with an intensive use of generating functions and a rich variety of applications. The final exam is on Tuesday March 18 from 12:15pm-3:15pm, and all students must take the exam at that time. Emphasizes careful reasonsing and understanding of proofs. Building 380, 383-U Department of Mathematics Building MATH 18: Foundations for Calculus. edu (E-mail) Giving to the Department of Mathematics Jens Reinhold, jreinh@stanford. Participants will also hear from thought leaders such as Carol Dweck and Steve Strogatz. Geometry and algebra of vectors, systems of linear equations, matrices and linear transformations, diagonalization and eigenvectors, vector valued functions and functions of several variables, parametric curves, partial derivatives and gradients, the derivative as a matrix, chain rule in several variables, constrained and unconstrained optimization. Review of elementary functions (including exponentials and logarithms), limits, rates of change, the derivative and its properties, applications of the derivative. Peter Chatain, Stanford Math Undergraduate class of 2022 and current CS Grad Student, took part in the 2024 Paris Olympics as a member of Team USA Rowing. Professor Ravi Vakil - Stanford University - &quot;The Mathematics of Doodling&quot; - May 18, 2023. She is also an analyst for PISA ksound@math. edu (650) 497-0640. Miller, Dept. 25, 2014: A new version of this course will be offered online June 15-Sept. This is also a Writing in the Major class. Many people have had negative experiences with math. Stay Connected. SOAR and Math 18 are needed because many under-resourced high schools often do not impart those skills at At least 32 units, reduced by the number of 200-level graduate Math courses, must be taken at Stanford. The final exam has been graded, and grades posted. 1. edu Final grades (and quiz 4 grades and miscellaneous comments) are here. Stanford's Math Camp for 2018. Derivatives. 2/22 Regular Expressions 18. 7. Math 113, taught Fall 2015 at Stanford. Starting out in the late 1990’s as an interdisciplinary financial mathematics research group, at a time when “quants” started having a greater impact on finance in particular MATH 63DM: Modern Mathematics: Discrete Methods Third part of a proof-based sequence in discrete mathematics, though independent of the second part (62DM). Last time 2 1. Algebraic sets, Hilbert's Nullstellensatz and varieties over algebraically closed fields. The policy of the Mathematics Department is that no courses other than the MATH 50/60 series and below may be double-counted toward any other University major or minor. 014: Calculus with theory Ravi Vakil, Rm. 3/1 Turing Machines, This lecture explores how to write a mathematical proof. All Math Major students are required to complete a capstone project. edu. com/projects/1383727895/harvard-math-55a-and-stanford-math-51h-animated Math 216A, B, &amp; C: Introduction to Algebraic Geometry; Math 230A, B, &amp; C: Theory of Probability; 3 quarter course sequence in a single subject approved in advance by the Director of Graduate Studies. Oxford. Office hours: Department of Mathematics Stanford University Building 380, Sloan Hall Stanford, CA 94305, USA office: 383CC, Sloan Hall Photo Credit: Rod Searcey: Notes for my MSRI lectures on 3/13/18 pdf. edu; 650-723-2975 office hours: Mon 1:00 pm - 3:00 pm, Thu 1:00 pm - 2:00 pm or by appointment Course Assistant: Jeremy Leach ; Problem Set 1 (due Wed 1/18) Week 2: 01/16 - 01/20; Class 4 (Wed): Lebesgue Measure Class 5 (Fri): Lebesgue Measure Problem Set 2 (due Mon 1/23 in class) Week 3: 01/23 - 01/27 The 2012 Stanford Math Tournament was held on Saturday, February 18, 2012. For more information, or to enroll, please visit How to Learn Math: For Teachers and Parents, XEDUC115N. VI. 018F, Alan Cheng, Limitless NC, Limitless NC,18 8. Assistant Professor of Mathematics at Stanford University. My mathematical work is supported by NSF grant DMS-1100784. July 7, 2025 - July 25, 2025. For frequently asked questions about the differences between Math 51 and CME 100, see the FAQ on the placement page on the Math Department website. 247D, Anthony Li, BBMC-math Alpha, Bonnie Branch Math Circle (BBMC-Math. Thomas Church. Non-Credit It might be the unawareness of deficiencies in their high school. Tutors should be able to help students with either all four classes of the MATH 18/19/20/21 series and MATH 51, all three classes of the MATH 50s series, or MATH 104/113. Lectures are MWF 11:30–12:20 in 380-X, in the basement of the math building. Math 120 | S18; Math 210A | F17 Take-home final exam, due March 18; The full syllabus for the course is available here. Building 380, 383-T Colored bosonic models and matrix coefficients with Slava Naprienko, in Communications in Number Theory and Physics, 18 (2024), no. (At the very least you will need 172 and 175. R. 2. When using this book in the course, don't print more than you'd need for a few days at a time Stanford University Mathematics Camp (SUMaC) welcomes a select group of rising high school juniors and seniors from around the world for intensive study in advanced mathematics. On Friday, there is a TA section at the same time and location. February 3, 2025. It also might be that the lowest so one can go on the math diagnostic is Math 19, which encompasses a range of proficiencies. Initially, the camp was a small program for high school students in the San Francisco Bay Area. 2/27 Context-Free Languages 20. in mathematics at Princeton University in 2010. I completed my Ph. Please fill out our feedback survey to help us improve SMT. Date: Fall 2000. 03: Differential Equations. Instructor Office Recitation time (Tu-Th) Office hours e-mail ; Assistant Professor of Mathematics at Stanford University. In Spring 2018 I am teaching Math 120 at Stanford University. edu (650) 723-2629. His Department of Mathematics Building 380, Stanford, California 94305 Phone: (650) 725-6284 mathfrontdesk [at] stanford. Please note that Math Circle sections take place at set Math 113: Linear algebra and matrix theory Akshay Venkatesh, MWF 10am in room 380-380X. Professor Peter Sarnak - IAS Princeton - &quot;Sums of Squares and Golden Gates&quot; - May 19, 2015. Grade level(s) 10-11. Midterm Dates: October 13 and November 12. The Mathematics Department courses must include at least 18 units numbered 200 or In Chapter 3, Section 3. HAVE A GREAT BREAK!! The description in the catalog: Covers the same material as 18. you are required to take a placement diagnostic. stanford. Email: rjlo(at)stanford(dot)edu Office Hours: MW 4-5, R 3-4 ; David Montague (Course Assistant) Office: 380-381A Email: davmont(at)math(dot)stanford(dot)edu Office Hours: T 10-2 ; Textbook. Andrea Montanari, Stanford University, Autumn 2019 : This course treats the fundamentals of probability theory with a focus on proofs and rigorous mathematical theory. I am an editor for Journal of the AMS, Algebra The textbook has been specially created by the Stanford Math department in consultation with colleagues in many other departments; it is free and electronic-only. edu Prerequisites Math 205A and 205B recommended. 2023 Simons Collaboration on New Structures in Low-Dimensional Topology Annual Meeting, March 30-31, 2023. (Warning: I'll have to leave promptly at 5:30. The table of contents (and sketchy introduction) for the notes as of June 15, 2010 This is the only course at Stanford whose syllabus includes nearly all the math background for CS 229, which is why CS 229 and CS 230 specifically recommend it (or other courses resting on it). The teaching intervention, which was 18 lessons long, raised the students' test scores by an average of 50%. Math 51 is difficult but fair. Jonathan Luk, jluk@stanford. The focus is on proficiency in topics Join dozens of Stanford School of Humanities and Sciences students who gain valuable leadership skills in a multidisciplinary, multicultural community as Knight-Hennessy Scholars (KHS). Office hours: Before joining Stanford in 2015, I was part of the MIT Department of Mathematics. com),18 9. Taylor's Formula and Limits. You may submit this form to add your student to the Waitlist for Stanford Math Circle, Fall Quarter 2023. 2/24 Nonregular Languages 19. These tutoring sessions will be every Monday and Wednesday evening, from 6:00 pm until 10:00 pm, in room 381-T in the Math building. Mohammed completed his PhD at the University of Chicago in 2007. While it cannot be counted for unit credit in any of the engineering majors, it is very helpful for achieving success in math and subsequent engineering courses if Professor of Mathematics and Statistics, Barnum-Simons Chair in Mathematics and Statistics, Professor of Electrical Engineering (by courtesy) candes@stanford. contactdreme@stanford. 51, 52, 53. My office phone: 723-4011 Email: bump@math. It was founded in 1885 by railroad magnate Leland Stanford, the eighth governor of and then-incumbent senator from California, and his wife, Jane, in memory of their only child, Leland Jr. Simons Center, New The Stanford University Mathematics Organization (SUMO) holds homework/tutoring help session for all students in the Math 50 series, i. If you have multiple students you would like to add to the waitlist, you will need to submit one form per student. MATH 18 (2 units, Autumn) develops fundamental skills to prepare for success in calculus (the Math 20 series) and other courses at Stanford that rely on quantitative methods. We'll talk about formal definitions, how to build intuitions for results, and the conventions that go into writing up our final results. 2-271, vakil@math. Only Math 50/60CM/60DM series and first-year single-variable calculus can be double counted toward any other major or minor. com . Lectures M-Th 9:30-10:20am, 380-380D. 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