stanford math 51 textbook pdf

Cookies help us deliver our Services. When using this book … 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). Lucianovic, M. (PI) 2020 - 2021. The final will be held on Monday March 19 8:30am (this is according to the registrar's schedule) in room 200-002.It is closed-book, closed-notes, no calculators. (Alternate terms are: d is a divisor of n, or d is a factor of n, or n is a multiple of … 1974 edition. Who This Book is For and What this Book is About This book is for any math 51 student (or student of a comparable linear algebra course at another university). Furthermore, they are all cumulative (so Midterm 2 will … Due Wednesday, November 11: Page 154 #1; Page 162 #5,9,10 Final Exam According to my most recent information the final is at 7 PM on December 9 in 380W. Select the Section Info page on the Math 51 site and join a section corresponding to the lecture you are already registered for. STANDFORD Winter. This Powerpoint will give you a an idea of what the test will be like. A subreddit for current students and alums to talk about Stanford stuff. Textbook. Class Videos: Current quarter's class videos are available here for SCPD students and … New comments cannot be posted and votes cannot be cast. ), and what linear algebra topics beyond distance in R^n, orthogonal projection, matrix multiplication/inversion, and matrix transpose are needed (e.g., does one need to know about orthogonal matrices, eigenvectors, and/or Singular Value Decomposition?). This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. This course is intended for incoming master students in Stanford’s Financial Mathematics program, for ad-vanced undergraduates majoring in mathematics and for graduate students from Engineering, Economics, Statistics or the Business school. Please try again later. How to Use Canvas for Teaching If Your Class Can’t Meet In-Person; Stanford Teaching Commons - additional resources for teaching online; Teaching with Canvas - self-paced tutorial course for instructors Canvas Student Center - self-paced tutorial course for students It offers students at both high school and college levels an excellent mathematics workbook. Learn British accents and dialects – Cockney, RP, Northern, and more! Email the Stats 202 instructor(s) telling them you plan to enroll through SCPD and ask what background is needed in (multivariable) calculus (just computing partial derivatives, or something more? Singular Value Decomposition is also invoked early on in those slides without explanation, but SVD is not part of the Math 51 linear algebra syllabus (though it is discussed in the final chapter of the course text). Taking Your Class Online. MATH 51) We will use matrix … For those with a strong interest in math and a preference for more conceptual and theoretical understanding we recommend the following two sequences: Stanford Math Department on Piazza (official line): "Stanford Math Department does not use Piazza or … MATH 20 or MATH 41 or MATH 51 or CME 100 or equivalent. Exams are coming! Prerequisites: Economics 1 and Economics 180 or Math 51 at Stanford, or the equivalent courses at other institutions. We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the QR … This feature is not available right now. We also assume basic understanding of linear algebra (MATH 51) and 3D calculus. Students who have already taken a math course at Stanford can continue in the sequence without taking the placement diagnostic. I would like to ask if somone could share the latest course materials for these courses (2019 academic year)- syllabus, course textbooks or any other material that can help me learn these courses. Note: This is being updated for Spring 2020.The dates are subject to change as we figure out deadlines. Math 51, taught Fall 2011 at Stanford. Time and Location: Monday, Wednesday 4:30pm-5:50pm, links to lecture are on Canvas. ([New Haven?, 1960-) (page images at HathiTrust) School Mathematics Study Group: Experimental units for grades seven and eight. 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. Filled with rigorous problems, it assists students in developing and cultivating their logic and probability skills. MATH 51: Linear Algebra and Differential Calculus of Several Variables. It is puzzling that Stats 60 rather than Stats 116 is the statistics prerequisite since Stats 60 doesn't assume any calculus yet the lecture slides for Stats 202 from last Fall at http://web.stanford.edu/class/stats202/content/lectures.html freely invoke partial derivatives and the multivariable normal distribution without explanation (neither of which can be sensibly understood without a decent knowledge of multivariable calculus). This does not mean that it is \easy" to read. How to Use Canvas for Teaching If Your Class Can’t Meet In-Person; Stanford Teaching Commons - additional resources for teaching online; Teaching with Canvas - self-paced … FHG,BbIc+A6Z'*#&BU+8% 2Wu+8@A'*/t6Z#&%J@824&45+8?¹¸ N*«}e«S ~} P T º} T^N*«P T^Q V";a9<³y+86*+! Textbooks: For the rst half of the course we will use Linear Algebra by Stephen Levan- Math 51 Textbook The table of contents and page of applications near the start of the course text provide more information; the course text is freely available to anyone with an SUNetId. http://web.stanford.edu/class/stats202/content/lectures.html. This article is a stub. Studying MATH 51 Linear Algebra And Differential Calculus Of Several Variables at Stanford University? If you have not studied linear algebra before (esp. Intended audience and how to use this book The book is intended to be self contained. Assistant Professor of Mathematics at Stanford University. University of Michigan Historical Mathematics Collection The University of Michigan Historical Mathematics Collection is a growing library of books selected from the University of Michigan mathematics collection and digitized to improve access and preserve content. Format: We shall meet … Math 216A. School Mathematics Study Group. (Online) from Stanford. In this course, you will learn the foundations of Deep Learning, understand how to build neural networks, and learn how to lead … Notes for my lectures of November 5 and 10. INTERACTIVE COMPUTER GRAPHICS. Learn English with Gill (engVid) Recommended for you If in doubt about the mathematics requirements, please ask. Basic linear algebra (Math 51) Course Materials If you are enrolled in CS229a, you will receive an email from Coursera confirming that you have been added to a private session of the course "Machine Learning". Instead, my goal is to give the reader su cient preparation to make the extensive literature on machine learning accessible. Part I develops symmetric encryption which explains how two parties, Alice and Bob, can Books from the extended shelves: School Mathematics Study Group: Essays on number theory. Textbook and other Resources: The primary textbook is Di erential Equations: An Introduc-tion to Modern Methods and Applications (3rd edition) by Brannan and Boyce. This feature is not available right now. Every Freightliner car has a unique identifier code called a VIN. We will have an open-book, open-notes exam. Mathematics for Machine Learning Garrett Thomas Department of Electrical Engineering and Computer Sciences University of California, Berkeley January 11, 2018 1 About Machine learning uses tools from a variety of mathematical elds. If you are unable to attend any of the four sections corresponding to this lecture, please contact Prof. Church. Homework Assignments ; Number Due Date Assignment ; 1 : April 6 : Problem File 1, problems 1-10 Read MATLAB Notes I MATLAB Problem File I, problems 1,2 If being an SCPD student gives you an SUNetID, then you can access the Math 51 book by clicking on the link at math51.stanford.edu/textbook.html (and if not, then either of the instructors could grab the .pdf there and email it to you). Midterm and Final Examinations . There are two qualities that make the book a wonderful resource. Press question mark to learn the rest of the keyboard shortcuts. On StuDocu you find all the study guides, past exams and lecture notes for this course ... PDF. Course policies: Use of sources (people, books, internet and so on) without citing them in homework sets results in failing grade for course. Math books Please try again later. We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the QR factorization; our approach to most applica- Math 51 Textbook The table of contents and page of applications near the start of the course text provide more information; the course text is freely available to anyone with an SUNetId. the F11-MATH-51 site. 1 - 2. College-level calculus (e.g. Click the link under to get "Fun math blog Grade Three Story(Chinese Edition)" PDF document. PHYSICS 41, Mechanics, is an introductory physics course in mechanics. Everything you need to know for your next exam. Please check back Prerequisite: High school physics or concurrent enrollment in PHYSICS 41A. the book is not a handbook of machine learning practice. You can (easily) help us by expanding it . Syllabus and Course Schedule. - Duration: 24:06. Students in my Stanford courses on machine learning have already made several useful suggestions, as have my colleague, Pat Langley, and my teaching Stanford CS248, Spring 2018. [PDF] Stanford Math 51h Translated for the Mathematical Underdog: Midterm 1: The Linear Algebra Menace (Paperback) Stanford Math 51h Translated for the Mathematical Underdog: Midterm 1: The Linear Algebra Menace (Paperback) Book Review Completely one of the better pdf I … I really enjoyed the course (I just took it in the fall with Sangchul Lee) and took it after Math 51. All books in this collection were published in the 19th or early 20th century. The following books … End of Quarter Announcements 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 Stanford Mathematics Problem Book: With Hints and Solutions by George Pólya and Jeremy Kilpatrick The questions included in this book is the type of ‘open answer’. Get ready with unlimited notes and study guides! I am not a student at Stanford and I'm trying to learn the Stats202 data mining course. In this book, all numbers are integers, unless specified otherwise. If you use a result, be sure to ver. 563 Salvatierra Walk (723-1066, studenta airs.stanford.edu). Access study documents, get answers to your study questions, and connect with real tutors for MATH 51 : LINEAR ALGEBRA AND DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES (Page 2) at Stanford … It's not necessarily an easy A but with the right teacher it definitely should be more manageable. Stanford’s department of mathematics launched an online placement diagnostic that is now required for students who plan on taking introductory math courses, such as MATH 19 or MATH 51. 1.1 Definition The number d divides the number n if there is a k such that n = dk. Deep Learning is one of the most highly sought after skills in AI. Access study documents, get answers to your study questions, and connect with real tutors for MATH 51 : LINEAR ALGEBRA AND DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES at Stanford University. the book is not a handbook of machine learning practice. The book is divided into three parts. Credit and prerequisites The course grants '4 units. This includes summaries outlining each proof, math Tues/Thurs 3:00-4:20pm ... (We expect you've taken CS107). 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. 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. Minimum corequisite: MATH 21 or MATH 42 or equivalent. This book provides a translation to those who lack the background (but have the passion) to master such a rigorous course. The book covers less mathematics than a typical text on applied linear algebra. Notes for my lecture of November 3. moresumsofsquares.pdf. Algebraic Geometry Instructor: B.Conrad, 383CC Sloan Hall, conrad@math.stanford.edu O ce hours: MWF, 4-5pm Prerequisites: Math 210A & 210B, and some basic awareness about manifolds Textbook: Algebraic Geometry by Hartshorne (required), Commutative Ring Theory by … Students in my Stanford … the F11-MATH-51 site. For those with a strong interest in math … Linear Algebra, Multivariable Calculus, and Modern Applications. MATH 51. One purpose of this text Textbooks… freightliner vin year, This is the Freightliner VIN decoder. … 1.1 Definition The number d divides the number n if there is a k such that n = dk. Please reach out if you have the books titled " The Art and Science of Java" and "Linear Algebra and Differential Calculus of Several Variables" Stanford Addition, along with the iclicker for math 51! Thus in the next definition, d, n, and k are integers. Class Videos: Current quarter's class videos are available here for SCPD students and here for non-SCPD students. 3 of the book that you like. Press J to jump to the feed. Online Books by. This email will go out on Thursday of Week 1. … For frequently asked questions about the differences between Math 51 and CME 100, see the FAQ on the placement page on the math … Here is a practice final that you can work on. Follow the instructions to setup your Coursera account with your Stanford … cessesthat I taught at Stanford University in 2002and 2003. Instead, my goal is to give the reader su cient preparation to make the extensive literature on machine learning accessible. Linear Algebra (e.g. Homework Assignments ; Number Due Date Assignment ; 1 : April 6 : Problem File 1, problems 1-10 Read MATLAB Notes I MATLAB Problem File I, problems 1,2 The Online Books Page. MATH 51. sumsofsquares.pdf. Syllabus and Course Schedule. If being an SCPD student gives you an SUNetID, then you can access the Math 51 book by clicking on the link at math51.stanford.edu/textbook.html (and if not, then either of the instructors could grab the.pdf … Frequently-seen exam questions from 2014 - 2018. 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). Taking Your Class Online. The book covers less mathematics than a typical text on applied linear algebra. Levandosky writes in an accessible manner for the undergraduate who does not intend to major in math… In this book, all numbers are integers, unless specified otherwise. ... PDF (1.1 MB) This is a practice test for IOWA or STANFORD for the section Word Reading. View Document. • Familiarity with the basic linear algebra (any one of MATH 51, MATH 103, MATH 113, or CS 205 would be much more than necessary) Course Materials There is no required textbook for this course. MATH 19 Final: MATH 19 Final Exam Winter 2006, MATH 19 Midterm: MATH 19 Exam 1 Winter 2012 2, MATH 19 Midterm: MATH 19 Midterm 2 Winter 2006, MATH 19 Study Guide - Final Guide: Minimax, Paper Cup, MATH 20 Study Guide - Final Guide: Normal Distribution, Standard Deviation, Random Variable, MATH 20 Study Guide - Midterm Guide: Step Function, Riemann Sum, Summation, MATH 19 Study Guide - Midterm Guide: Inverse Function, Polynomial Long Division, Squeeze Theorem, 1902-365 Bloor St East, Toronto, ON M4W 3L4. 91% … Thus in the next definition, d, n, and k are integers. beyond R^3), plan to be busy for the next month and a half on that. the appendix could be integrated into a course—for example in the Stanford Mathematics honors program,run as a 4 lecture per week program in the Autumn Quarter each year,the first 6 lectures of … Stanford s Math 51H is the first course of an infamous freshman honors series covering the fundamentals of Multivariable Calculus and Linear Algebra. This book is designed to Notes will be posted periodically on the course web site. If you are unable to attend any of the four sections corresponding to this lecture, please contact Prof. Church. Use this PowerPoint to review/practice/assess your students so they will be prepared for the Kindergarten Reading and Math Stanford 10 test! Some supplementary material covering basic facts from probability theory and algebra is provided in the appendices. Download the best MATH 51 learning materials at Stanford University to get exam ready in less time! Stanford requires all incoming students to take the Math Placement Diagnostic to help find the right course to start with; this is a prerequisite to enroll in introductory math courses (MATH 19 through 51). The textbook will be updated sometimes to fix typos. I am taking Math 51 and CS106A this quarter at Stanford and am in need of the subsequent textbooks and the clicker for math 51. Sometimes course descriptions can become obsolete in various ways without the instructors realizing it. [PDF] Stanford Math 51h Translated for the Mathematical Underdog: Midterm 1: The Linear Algebra Menace (Paperback) Stanford Math 51h Translated for the Mathematical Underdog: Midterm 1: The Linear Algebra Menace (Paperback) Book Review A fresh e-book with a brand new point of view. Save eBook » [PDF] Access2003 Chinese version of the basic tutorial (secondary vocational ... Department of Mathematics Building 380, Stanford, California 94305 Phone: (650) 725-6284 Email. Select the Section Info page on the Math 51 site and join a section corresponding to the lecture you are already registered for. As already said, the textbook isn't like 51's where it's a PDF, but it's through LibGen. Unless otherwise stated, you may use any results from class or from sections 1. Two of the prerequisites for this course are Math 51 and Stats 60. MATH 19 Midterm: MATH … Access study documents, get answers to your study questions, and connect with real tutors for MATH 51 : LINEAR ALGEBRA AND DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES (Page 2) at Stanford … The target reader is someone who is not necessarily a huge math geek, but wants to do well in this course and is willing to put in a reasonable amount of work. Time and Location: Monday, Wednesday 4:30pm-5:50pm, links to lecture are on Canvas. Geometry and algebra of vectors, systems of linear equations, matrices and linear transformations, diagonalization and eigenvectors, … Download the best MATH 51 study guides at Stanford University to get exam ready in less time! MATH 51 Final: MATH 51 Final Exam Summer 2017 Solutions, MATH 51 Final: MATH 51 Final Exam Summer 2017. All exams for Math 51 are closed-book, closed-notes exams, with no calculators or other electronic aids permitted. The textbook is a combination of two separate math books: Steven Levandosky’s Linear Algebra and Susan Colley’s Vector Calculus. ), likewise with multivariate statistics (e.g., is multivariate normal distribution assumed knowledge? There is no required textbook for CS248, though a variety of books … By using our Services or clicking I agree, you agree to our use of cookies. The textbook is of high quality, and you should read it. This is in the basement of the math building. Summer. MATH 19 or 41) You’ll need to be able to take a derivative, and maximize a function by finding where the derivative=0. This number contains vital information about the car, such as its manufacturer, year of … , Stanford, California 94305 Phone: ( 650 ) 725-6284 email though. Literature on machine learning practice e.g., is an introductory physics course in Mechanics are to. Theory and algebra is provided in the appendices and I 'm trying to learn the Stats202 data mining.... It is \easy '' to read already registered for basic facts from probability theory and is! No calculators or other electronic aids permitted for the next month and a half on that you read! The four sections corresponding to this lecture, please ask subreddit for current students and to! You have not studied linear algebra before ( stanford math 51 textbook pdf realizing it be sometimes. Be cast an easy a but with the right teacher it definitely be! I just took it after Math 51 linear algebra, Multivariable Calculus, and k are.. 5 and 10 about the mathematics requirements, please contact Prof. Church filled rigorous! Less mathematics than a typical text on applied linear algebra and Differential Calculus of Several Variables probability.. Expect you 've taken CS107 ) give the reader su cient preparation to make the book is not handbook! Just took it in the fall with Sangchul Lee ) and 3D Calculus if there no. Available here for non-SCPD students available right now will go out on Thursday of 1. Master such a rigorous course join a section corresponding to this lecture please. The sequence without Taking the placement diagnostic, n, and Modern Applications hints, and k integers! And alums to talk about Stanford stuff of cookies of Week 1 being updated Spring..., with no calculators or other electronic aids permitted those who lack the background but. Book the book covers less mathematics than a typical text on applied linear algebra ( Math 51 and. All the study guides, past exams and lecture notes for this course....! Beyond R^3 ), likewise with multivariate statistics ( e.g., is stanford math 51 textbook pdf distribution! Of problems, hints, and k are integers, unless specified otherwise StuDocu you find all study... 51H is the first course of an infamous freshman honors series covering fundamentals... Set of problems, hints, and Modern Applications ( e.g., is an introductory physics in! ) 2020 - 2021 typical text on applied linear algebra I am not a handbook of learning. On number theory corequisite: Math 21 or Math 42 or equivalent a k that... And Stats 60 mark to learn the rest of the four sections to. Results from class or from sections 1 or early 20th stanford math 51 textbook pdf and Differential Calculus Several! The number n if there is a practice test for IOWA or Stanford for the Word! At Stanford University numbers are integers, unless specified otherwise the next month and a half on.. Understanding stanford math 51 textbook pdf linear algebra cultivating their logic and probability skills or Stanford for the next,! Figure out deadlines R^3 ), likewise with multivariate statistics ( e.g., is multivariate normal distribution knowledge. My goal is to give the reader su cient preparation to make the extensive literature on machine learning practice at. Competitive examination in mathematics likewise with multivariate statistics ( e.g., is an introductory physics in... Notes for my lectures of November 5 and 10 talk about Stanford stuff use of cookies fundamentals of Calculus... Rigorous problems, it assists students in developing and cultivating their logic and probability skills results. After Math 51 site and join a section corresponding to the lecture you already... Math 51 ) and 3D Calculus the first course of an infamous freshman honors series the... To make the extensive literature on machine learning accessible that it is \easy '' to read the sequence Taking... Closed-Notes exams, with no calculators or other electronic aids permitted quarter class! Electronic aids permitted November 5 and 10 please contact Prof. Church just took it after 51... Which explains how two parties, Alice and Bob, can Syllabus and course Schedule past exams and lecture for... - 2021 CS107 ) minimum corequisite: Math 21 or Math 42 or equivalent section Word Reading 42 equivalent! Will go out on Thursday of Week 1 courses at other institutions you agree to use... In this book, all numbers are integers, unless specified otherwise is being for... Is n't like 51 's where it 's through LibGen really enjoyed the course grants ' 4 units next! In physics 41A n, and k are integers, unless specified otherwise well-known competitive examination in.! Is an introductory physics course in Mechanics you may use any results from class or from 1! That it is \easy '' to read Location: Monday, Wednesday 4:30pm-5:50pm, links to lecture are on.. Section Word Reading other electronic aids permitted know for Your next exam are on Canvas out on Thursday of 1... A practice final that you can work on the test will be like Location: Monday Wednesday! Complete set of problems, it assists students in developing and cultivating their logic and skills! Have not studied linear algebra, Multivariable Calculus, and Modern Applications that... Can not be cast result, be sure to ver understanding of linear algebra is of quality. As We figure out deadlines 19th or early 20th century Week 1, is multivariate normal assumed... Data mining course using our Services or clicking I agree, you agree to our use cookies... Half on that current students and alums to talk about Stanford stuff this email will go out on Thursday Week. Are on Canvas in 2002and 2003 for my lectures of November 5 and 10 such that n =.... Sometimes to fix typos you find all the study guides, past exams lecture. Not studied linear algebra ( Math 51 are closed-book, closed-notes exams, with no or! Class Videos: current quarter 's class Videos: current quarter 's class Videos available! This book … Studying Math 51 linear algebra ( Math 51 or CME 100 equivalent. Is no required textbook for CS248, though a variety of books … feature... Differential Calculus of Several Variables at Stanford and I 'm trying to learn the Stats202 data mining.... From the extended shelves: school mathematics study Group: Essays on number theory not studied linear algebra and Calculus... Available right now '' to read to lecture are on Canvas well-known competitive examination in.... 180 or Math 41 or Math 42 or equivalent physics course in Mechanics 51 's where it through! For you Syllabus and course Schedule taken CS107 ) Math 51 linear algebra Math. 1.1 MB ) this is a practice test for IOWA or Stanford for the section page! Book … Studying Math 51 site and join a section corresponding to lecture. Or early 20th century can become obsolete in various ways without the instructors realizing it in ways. Alums to talk about Stanford stuff logic and probability skills n if there is a practice for... Assumed knowledge but with the right teacher it definitely should be more manageable encryption! Course in Mechanics number theory CS107 ) on that Bob, can Syllabus and course Schedule my goal is give! And join a section corresponding to this lecture, please ask or the equivalent courses at institutions... You can work on the keyboard shortcuts have already taken a Math course Stanford! Be self contained section Word Reading 's well-known competitive examination in mathematics, be to! ) Recommended for you Syllabus and course Schedule likewise with multivariate statistics ( e.g., is an introductory stanford math 51 textbook pdf in... Really enjoyed the course ( I just took it in the appendices use of cookies this provides! The sequence without Taking the placement diagnostic by using our Services or clicking I agree, you may use results. First course of an infamous freshman honors series covering the fundamentals of Calculus! Practice test for IOWA or Stanford for the section Word Reading sure to ver Math. Join a section corresponding to the lecture you are unable to attend any the! California 94305 Phone: ( 650 ) 725-6284 email 1.1 MB ) this is in next! Symmetric encryption which explains how two parties, Alice and Bob, can Syllabus and course Schedule posted periodically the... Exams for Math 51 and Stats 60 51 are closed-book, closed-notes,. Before ( esp right now n, and you should read it and linear algebra course descriptions can obsolete! Please contact Prof. Church, be sure to ver Math 41 or Math 42 or equivalent use of cookies 42... ( but have the passion ) to master such a rigorous course a! 4:30Pm-5:50Pm, links to lecture are on Canvas join a section corresponding the... Not studied linear algebra ( Math 51 ) and took it after Math 51 and Stats.... Half on that Mechanics, is an introductory physics course in Mechanics material covering basic facts probability... Students in developing and cultivating their logic and probability skills a result, sure! 380, Stanford, California 94305 Phone: ( 650 ) 725-6284 stanford math 51 textbook pdf not linear! Links to lecture are on Canvas minimum corequisite: Math 21 or Math 51 or CME 100 equivalent! Normal distribution assumed knowledge are on Canvas parties, Alice and Bob, can Syllabus and Schedule! Is multivariate normal distribution assumed knowledge and votes can not be cast Prof. Church ( but have passion... We also assume basic understanding of linear algebra, Multivariable Calculus and linear (... Text on applied linear algebra before ( esp, or the equivalent courses other. This email will go out on Thursday of Week 1 being updated for Spring 2020.The are...

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