• University Of Chicago Math Program
• University Of Chicago Math Project
• University Of Chicago Math Program

Everyday Mathematics at Home Everyday Mathematics at Home provides help with Home and Study Link problems, selected answers, vocabulary definitions, tutorials on algorithms, and games. EM4 Edition EM3/CCSS Edition More in the Parent's section Resources by Grade Level The For Parents section is organized by grade level, so that parents can easily find resources and information most relevant to their child. Under each grade, you will find a detailed overview of the goals specific to that grade level, tables to help with homework and concepts for each unit, a Student Gallery of classroom projects and activities, Everyday Mathematics Family Letters in English and Spanish, as well as a compilation of Do-Anytime Activities to help supplement classroom activities. This section provides answers to common questions parents have about the Everyday Mathematics curriculum. Here you can learn more about the rationale behind the Everyday Mathematics position on topics such as basic math facts and calculator use, in addition to tips on how to assist your child. The Parents Resources page links to dozens of online resources to help parents help their children.

Both a BA and a BS program in mathematics are offered. At what level does an entering student begin mathematics at the University of Chicago? Lesson Samples Introducing Everyday Mathematics 4. Everyday Mathematics 4 is a comprehensive Pre-K through Grade 6 mathematics program.

These links include online games, tutorials, simulations, and teaching tips. The Student Resources page provides many useful resources for students, including links to interactive games, web-based virtual manipulatives and tutorials, quizzes, forums, and more.

Department Website: Program of Study The Department of Mathematics provides an environment of research and comprehensive instruction in mathematics and applied mathematics at both undergraduate and graduate levels. Both a BA and a BS program in mathematics are offered, including a BS degree in applied mathematics and a BS degree in mathematics with a specialization in economics.

Students in other fields of study may also complete a minor in mathematics; information follows the description of the major. The requirements for a degree in mathematics or in applied mathematics express the educational intent of the Department of Mathematics; they are drawn with an eye toward the cumulative character of an education based in mathematics, the present emerging state of mathematics, and the scholarly and professional prerequisites of an academic career in mathematics. Requirements for each bachelor's degree look to the advancement of students' general education in modern mathematics and their knowledge of its relation with the other sciences (BS) or with the other arts (BA). Descriptions of the detailed requirements that give meaning to these educational intentions follow. Students should understand that any particular degree requirement can be modified if persuasive reasons are presented to the department; petitions to modify requirements are submitted in person to the director of undergraduate studies or to one of the departmental counselors. Students should note that only one undergraduate degree may be earned from the Department of Mathematics.

Placement At what level does an entering student begin mathematics at the University of Chicago? Every entering student must take the Mathematics Placement Test. This online test must be taken during the summer before arrival on campus. Scores on the Mathematics Placement Test, combined with a student’s high school record, determine the appropriate beginning mathematics course for each student: Studies in Mathematics I, Elementary Functions and Calculus I, or Calculus I. Students who wish to begin at a level higher than Calculus I must take the Calculus Accreditation Examination, unless they have sufficiently good Advanced Placement scores as described in the following paragraphs. Students who place into Elementary Functions and Calculus I on the basis of the Mathematics Placement Test and who wish to improve their placement must take the Calculus Accreditation Exam.

Additionally, the College administers the Calculus Accreditation Examination. This exam must be taken during the summer before arrival on campus. On the basis of this exam, a student may receive placement out of up to three quarters of calculus. Students earning one quarter of placement on this exam may begin Calculus II, students earning two quarters of placement may begin with Calculus III, and students earning three quarters of placement may begin with Introduction to Proofs in Analysis, Mathematical Methods for Social Sciences, Linear Algebra, or Mathematical Methods for Physical Sciences I. Strong students, especially those planning to continue with higher level mathematics or other disciplines requiring advanced mathematics, are urged to take this accreditation exam. The Calculus Accreditation Examination may be taken only once and only by incoming students (first-years or transfers). On the basis of the Calculus Accreditation Examination or with a score of 5 on the Calculus BC Advanced Placement exam, students may also be invited to begin Honors Calculus I-II-III or Honors Calculus I (IBL); Honors Calculus II (IBL); Honors Calculus III (IBL).

These sequences build on the sound practical background provided in strong high school calculus courses and best prepare entering students for further study in mathematics. Students who take either version of Honors Calculus forgo placement out of Calculus I and/or Calculus II in order to take one of these full Honors Calculus sequences. A small number of students each year receive placement recommendations beyond Honors Calculus. Admission to Honors Analysis in Rn I is by invitation only to those first-year students with superior performance on the Calculus Accreditation Examination or to those sophomores who receive a strong recommendation from their instructor in Honors Calculus I-II-III or Honors Calculus I (IBL); Honors Calculus II (IBL); Honors Calculus III (IBL). Students who are granted three quarters of calculus placement on the basis of the Calculus Accreditation Examination and who do not qualify for admission to Honors Analysis in Rn I will place into Introduction to Proofs in Analysis. This latter option includes the possible starting points of Mathematical Methods for Social Sciences, Linear Algebra, or Mathematical Methods for Physical Sciences I.

Such students may also consult with one of the departmental counselors about the option of beginning with Honors Calculus I/ Honors Calculus I (IBL) so that they would be eligible for admission to Honors Analysis the following year. Students who submit a score of 5 on the Calculus AB Advanced Placement exam in mathematics or a score of 4 or 5 on the Calculus BC Advanced Placement exam in mathematics receive placement out of Calculus I. Currently no course credit or placement is offered in the Department of Mathematics at UChicago for work done in an International Baccalaureate Programme or for British A-level or O-level examinations, and students with these backgrounds are strongly encouraged to take the Calculus Accreditation Examination. Program Requirements Undergraduate Programs Four bachelor's degrees are available in the Department of Mathematics: the BA in mathematics, the BS in mathematics, the BS in applied mathematics, and the BS in mathematics with specialization in economics. Programs qualifying students for the degree of BA provide more elective freedom.

Programs qualifying students for the degrees of BS require more emphasis in the physical sciences, while the BS in mathematics with specialization in economics has its own set of specialized courses with more electives in economics in place of electives in the physical sciences. All degree programs, whether qualifying students for a degree in mathematics or in applied mathematics, require fulfillment of the College's general education requirements. The general education sequence in the physical sciences must be selected from either first-year chemistry or first-year physics. Except for the BS in mathematics with specialization in economics, each degree requires at least five courses outside mathematics (detailed descriptions follow for each degree). These courses must be within the Physical Sciences Collegiate Division (PSCD) or from Computational Neuroscience (CPNS). One of these courses must complete the three-quarter sequence in basic chemistry or basic physics.

At least two of these courses must be from a single department and all must be chosen from among Astronomy (20000 or above), Chemistry, Computer Science (not including 10100, 10200, 11000, 11100, or 11200), Physics (12000s or above), Geophysical Sciences, Statistics (22000 or above), CPNS, or Molecular Engineering. Graduate courses from these departments may also be used to fulfill these requirements.

No courses from the Financial Mathematics program may be used in any of the undergraduate degree programs in mathematics. Please note in particular the different requirements outside of mathematics described below in the degree program for the BS in mathematics with specialization in economics. Honors Basic Algebra I-II Three courses that are not MATH courses but are either from the same PSCD department or CPNS 300 Total Units 1700. Credit may be granted by examination. Students who complete (or receive credit for) Elementary Functions and Calculus III or Calculus III must use these courses as general electives, and Introduction to Proofs in Analysis must be completed for the major. May include Methods in Computational Neuroscience and Computational Approaches to Cognitive Neuroscience, or AP credit for Statistical Methods and Applications, Comprehensive General Chemistry I, and/or General Physics I-II.

May not include Introduction to Programming for the World Wide Web I, Introduction to Programming for the World Wide Web II, Multimedia Programming as an Interdisciplinary Art I, Multimedia Programming as an Interdisciplinary Art II, or Introduction to Interactive Logic, or any PHSC course. + The sequence Mechanics; Electricity and Magnetism; Waves, Optics, and Heat is recommended for mathematics majors. ^ Students who complete Honors Analysis in Rn I will not be required to take Abstract Linear Algebra; in its place they will take an additional course from the List of Approved Courses. Degree Program in Applied Mathematics Candidates for the BS in applied mathematics all take prescribed courses in numerical analysis, algebra, complex variables, ordinary differential equations, and partial differential equations. In addition, candidates are required to select, in consultation with one of the departmental counselors, a secondary field, which consists of three additional courses from a single department that is outside the Department of Mathematics but within the Physical Sciences Collegiate Division or among Computational Neuroscience (CPNS) courses. Summary of Requirements: BS in Applied Mathematics GENERAL EDUCATION One of the following: 200. Basic Theory of Partial Differential Equations Six courses that are not MATH courses but are either within the PSCD or from CPNS, at least three of which should be taken in a single department.

600 Total Units 1700. Credit may be granted by examination.

University Of Chicago Math Program

See restrictions on certain courses listed under previous summary. + The sequence Mechanics; Electricity and Magnetism; Waves, Optics, and Heat is recommended for mathematics majors. Degree Program in Mathematics with Specialization in Economics This program is a version of the BS in mathematics. The BS degree is in mathematics with the designation 'with specialization in economics' included on the final transcript.

Candidates are required to complete a yearlong sequence in calculus, Introduction to Proofs in Analysis if the calculus sequence did not terminate with Honors Calculus III/ Honors Calculus III (IBL), the one-quarter course Abstract Linear Algebra, a yearlong sequence in analysis ( Analysis in Rn I-II-III or Analysis in Rn I (accelerated); Analysis in Rn II (accelerated); Analysis in Rn III (accelerated) or Honors Analysis in Rn I-II-III), and one quarter of abstract algebra ( Basic Algebra I or Honors Basic Algebra I), and earn a grade of at least C- in each course. Students must also take Introduction to Mathematical Probability or Introduction to Mathematical Probability-A. The remaining two mathematics courses must be among the following five: Basic Complex Variables, Measure and Integration, Basic Functional Analysis, Basic Theory of Ordinary Differential Equations, or Markov Chains, Martingales, and Brownian Motion. A C average or higher must be earned in these two courses. In addition to the third quarter of basic chemistry or basic physics, the eight courses required outside the Department of Mathematics must include Statistical Models and Methods or Statistical Theory and Methods I. The remaining seven courses should be in the Department of Economics and must include The Elements of Economic Analysis I-II-III or -The Elements of Economic Analysis: Honors I-II-III and either Econometrics: Honors or Econometrics. The remaining two courses may be chosen from any undergraduate economics course numbered higher than The Elements of Economic Analysis: Honors III.

A University of Chicago Booth School of Business course may be considered for elective credit if the course requires the equivalent of ECON 20100 as a prerequisite and is numbered as a Chicago Booth 40000 or higher course. Additionally, the course needs to pertain to the application of economic theory to a course subject that is not offered by the Department of Economics. Courses such as accounting, investments, and entrepreneurship will not be considered for economics elective credit. Consideration for elective credit must be done by petition before a student registers for the course. There will be no retroactive consideration for credit.

Students must earn a grade of C or higher in each course taken in economics to be eligible for this degree. It is recommended that students considering graduate work in economics use some of their electives to include at least one programming course ( Introduction to Computer Science I is strongly recommended) and an additional course in statistics ( Statistical Theory and Methods I-II or Statistical Theory and Methods Ia and Statistical Theory and Methods II are appropriate two-quarter sequences). Students planning to apply to graduate economics programs are strongly encouraged to meet with one of the economics undergraduate program directors before the beginning of their third year.

Summary of Requirements: BS in Mathematics with Specialization in Economics GENERAL EDUCATION One of the following sequences: 200. Econometrics - Honors Three Economics courses numbered higher than 20210 300 Total Units 1800. Credit may be granted by examination. See restrictions on certain courses listed under earlier summary.

+ The sequence Mechanics; Electricity and Magnetism; Waves, Optics, and Heat is recommended for mathematics majors. Grading Subject to College grading requirements and grading requirements for the major and with consent of instructor, students (except students who are majoring in mathematics or applied mathematics) may take any mathematics course beyond the second quarter of calculus for either a quality grade or for P/F grading. A Pass grade is given only for work of C- quality or higher. All courses taken to meet requirements in the mathematics major must be taken for quality grades. A grade of C- or higher must be earned in each calculus, analysis, or algebra course; and an overall grade average of C or higher must be earned in the remaining mathematics courses that a student uses to meet requirements for the major.

Students must earn a grade of C or higher in each course taken in economics for the degree in mathematics with a specialization in economics. Mathematics or applied mathematics students may take any 20000-level mathematics courses elected beyond program requirements for P/F grading. Incompletes are given in the Department of Mathematics only to those students who have done some work of passing quality and who are unable to complete all the course work by the end of the quarter. Arrangements are made between the instructor and the student. Studies in Mathematics I-II.

MATH 11200 AND 11300 cover the basic conceptual foundations of mathematics by examining the ideas of number and symmetry. MATH 11200 addresses number theory, including a study of the rules of arithmetic, integral domains, primes and divisibility, congruences, and modular arithmetic. MATH 11300’s main topic is symmetry and geometry, including a study of polygons, Euclidean construction, polyhedra, group theory, and topology. These courses emphasize the understanding of ideas and the ability to express them through rigorous mathematical arguments. While students may take MATH 11300 without having taken MATH 11200, it is recommended that MATH 11200 be taken first.

Either course in this sequence meets the general education requirement in mathematical sciences. These courses are at the level of difficulty of the MATH 0-13300 calculus sequence. Studies in Mathematics I.

University Of Chicago Math Project

MATH 11200 AND 11300 cover the basic conceptual foundations of mathematics by examining the ideas of number and symmetry. MATH 11200 addresses number theory, including a study of the rules of arithmetic, integral domains, primes and divisibility, congruences, and modular arithmetic. These courses emphasize the understanding of ideas and the ability to express them through rigorous mathematical arguments. While students may take MATH 11300 without having taken MATH 11200, it is recommended that MATH 11200 be taken first.

Either course in this sequence meets the general education requirement in mathematical sciences. These courses are at the level of difficulty of the MATH 0-13300 calculus sequence. Terms Offered: Autumn,Spring. Studies in Mathematics II. MATH 11200 AND 11300 cover the basic conceptual foundations of mathematics by examining the ideas of number and symmetry.

MATH 11300’s main topic is symmetry and geometry, including a study of polygons, Euclidean construction, polyhedra, group theory, and topology. These courses emphasize the understanding of ideas and the ability to express them through rigorous mathematical arguments. While students may take MATH 11300 without having taken MATH 11200, it is recommended that MATH 11200 be taken first. Either course in this sequence meets the general education requirement in mathematical sciences.

These courses are at the level of difficulty of the MATH 0-13300 calculus sequence. Terms Offered: Winter Prerequisite(s): MATH 11200 recommended. Elementary Functions and Calculus I-II-III.

MATH 0-13300 is a sequence in calculus for students who need some precalculus reinforcement. The sequence completes the necessary background and covers basic calculus in three quarters. This is achieved through three regular one-hour class meetings and two mandatory one-and-one-half-hour tutorial sessions each week. A class is divided into tutorial groups of about eight students each, and these meet with an undergraduate junior tutor for problem solving related to the course. Students completing MATH 0-13300 have a command of calculus equivalent to that obtained in MATH 0-15300.

Students may not take the first two quarters of this sequence for P/F grading. MATH 0 meets the general education requirement in the mathematical sciences. Calculus I-II-III. This is the regular calculus sequence in the department. Students entering this sequence are to have mastered appropriate precalculus material and, in many cases, have had some previous experience with calculus in high school or elsewhere.

All Autumn Quarter offerings of MATH 15100, 15200, and 15300 begin with a rigorous treatment of limits and limit proofs. Students may not take the first two quarters of this sequence for P/F grading. MATH 0 meets the general education requirement in mathematical sciences. This is the first course in the regular calculus sequence in the department. Students entering this sequence are to have mastered appropriate precalculus material and, in many cases, have had some previous experience with calculus in high school or elsewhere. MATH 15100 undertakes a careful treatment of limits, the differentiation of algebraic and transcendental functions, applications of differentiation, and the Mean Value Theorem.

All Autumn Quarter offerings of MATH 15100 begin with a rigorous treatment of limits and limit proofs. Students may not take the first two quarters of this sequence for P/F grading. MATH 0 meets the general education requirement in mathematical sciences.

Terms Offered: Autumn Prerequisite(s): Superior performance on the mathematics placement test, or MATH 10500. This is the second course in the regular calculus sequence in the department.

Students entering this sequence are to have mastered appropriate precalculus material and, in many cases, have had some previous experience with calculus in high school or elsewhere. MATH 15200 covers integration, techniques of integration, applications of the integral, and transcendental functions. All Autumn Quarter offerings of MATH 15200 begin with a rigorous treatment of limits and limit proofs. Students may not take the first two quarters of this sequence for P/F grading. MATH 0 meets the general education requirement in mathematical sciences. Terms Offered: Autumn,Winter Prerequisite(s): MATH 15100; or placement based on the Calculus Accreditation Exam or appropriate AP score.

University Of Chicago Math Program

Calculus III. This is the third course in the regular calculus sequence in the department. MATH 15300 covers applications of integration, an introduction to infinite sequences and series and Taylor expansions, and an introduction to multivariable calculus including functions of several real variables, partial derivatives, gradients, and the total derivative, and integration of functions of several variables.

All Autumn Quarter offerings of MATH 15300 begin with a rigorous treatment of limits and limit proofs. Terms Offered: Autumn,Spring,Winter Prerequisite(s): MATH 15200; or placement based on the Calculus Accreditation Exam or appropriate AP score. Introduction to Proofs in Analysis and Linear Algebra. This course is intended for students who are making the transition from MATH 13300 or 15300 to MATH 20300, or for students who need more preparation in learning to read and write proofs. This course covers the fundamentals of theoretical mathematics and prepares students for upper-level mathematics courses beginning with MATH 20300. Topics include the axioms for the real numbers, completeness and the least upper bound property, the topology of the real line, the structure of finite-dimensional vector spaces over the real and complex numbers, and linear transformations and matrices, up through properties of the determinant.

Students who are majoring or minoring in mathematics may not use both MATH 15900 and MATH 16300 to meet program requirements. Terms Offered: Autumn,Spring,Winter.

Only offered in 2015-16; in subsequent years Math 15900 will be replaced by Math 15910 Prerequisite(s): Superior performance on the Calculus Accreditation Exam or MATH 15300 or 13300.