share. The ability to make vague ideas precise by representing them in mathematical notation, when appropriate. History of Mathematics: Read More [+], Terms offered: Fall 2020, Spring 2020, Spring 2019 Freshman/Sophomore Seminar: Read More [+], Prerequisites: Priority given to freshmen and sophomores. Mathematics, classical analysis.Research Profile, F. Alberto Grunbaum, Professor Emeritus. Mathematics, partial differential equations, nonlinear waves.Research Profile, Constantin Teleman, Professor. Directed Group Study: Read More [+], Prerequisites: Must have completed 60 units and be in good standing, Summer: 8 weeks - 1-4 hours of directed group study per week, Terms offered: Fall 2019, Fall 2018, Fall 2017 Hours & Format. Charles Hadfield, Visiting Assistant Professor. Math 1A & Math 1B or Math 16A & Math 16B . A deficient grade in Math 54 may be removed by completing Math N54. Set-theoretical paradoxes and means of avoiding them. See department bulletins. Learn about the people and activities that make UC Berkeley one of the best places in the world for advanced research, graduate and undergraduate study in mathematics. Credit Restrictions: Students will receive no credit for Math 55 after completion of Math N55 or Computer Science 70. Partial derivatives. The teaching concentration is designed to increase the number and quality of math teachers. Theoretical computer science, random matrices, geometry of polynomials. Honors section corresponding to 104. Lectures on special topics, which will be announced at the beginning of each semester that the course is offered. Credit Restrictions: Students will receive no credit for MATH N32 after completing MATH 32, 1A-1B (or N1A-N1B) or 16A-16B (or N16A-16B), or XMATH 32. Selected topics illustrating the application of mathematics to economic theory. Ian Agol, Professor. Credit Restrictions: Students will receive no credit for MATH W128A after completing MATH 128A. David Aldous, Professor. Credit Restrictions: Students will receive no credit for MATH 1A after completing MATH N1A, MATH 16B, Math N16B or XMATH 1A. Honors Thesis: Read More [+], Prerequisites: Admission to the Honors Program; an overall GPA of 3.3 and a GPA of 3.5 in the major, Terms offered: Spring 2016, Spring 2015, Spring 2014 best. save. Credit Restrictions: Students will receive no credit for Math 55 after completion of Math N55 or Computer Science 70. All students who will enter the University of California as freshmen must demonstrate their command of the English language by fulfilling the Entry Level Writing requirement. In these cases, you should make an appointment to meet an adviser to determine how you can meet the Senior Residence Requirement. Groups and Geometries: Read More [+], Terms offered: Fall 2020, Fall 2019, Spring 2019 Other topics selected from analytic systems, autonomous systems, Sturm-Liouville Theory. Terms offered: Summer 2021 Second 6 Week Session, Spring 2021, Fall 2020 The sequence Math 10A, Math 10B is intended for majors in the life sciences. Analytic Geometry and Calculus: Read More [+], Prerequisites: Three years of high school math, including trigonometry. For units to be considered in "residence," you must be registered in courses on the Berkeley campus as a student in the College of Letters & Science. Contact Us; Eligibility; Gallery. 11/6/19: Capacities of most of the Math 1B Lecture 2 Discussion sections have been slightly increased. Without those, one is wandering in a dark labyrinth. Mathematics of the Secondary School Curriculum II: Read More [+], Prerequisites: 151; 54, 113, or equivalent, Mathematics of the Secondary School Curriculum II: Read Less [-], Terms offered: Spring 2021, Spring 2020, Spring 2019 Convergence theorems. All semesters. Supervised Independent Study and Research: Read More [+], Prerequisites: The standard college regulations for all 199 courses, Supervised Independent Study and Research: Read Less [-]. Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read More [+], Prerequisites: Three and one-half years of high school math, including trigonometry and analytic geometry. Credit Restrictions: Students will receive no credit for Mathematics 10A after completing Mathematics N10A. The integers, congruences, and the Fundamental Theorem of Arithmetic. Final exam required, with common exam group. Analytic Geometry and Calculus: Read More [+]. Low-dimensional and symplectic topology. Fulfillment of this requirement is also a prerequisite to enrollment in all reading and composition courses at UC Berkeley. The topology of one and two dimensional spaces: manifolds and triangulation, classification of surfaces, Euler characteristic, fundamental groups, plus further topics at the discretion of the instructor. Introduction to signal processing including Fourier analysis and wavelets. They hold office hours, host events, and post articles on their blog which can be found, Information about all of the above Math Department advising resources can be found, Terms offered: Spring 2021, Fall 2020, Spring 2020, Terms offered: Fall 2015, Fall 2014, Fall 2013, Terms offered: Summer 2021 8 Week Session, Summer 2020 8 Week Session, Summer 2019 8 Week Session, Methods of Mathematics: Calculus, Statistics, and Combinatorics, Terms offered: Fall 2020, Fall 2019, Fall 2018. Grading/Final exam status: Letter grade. Honors version of 1B. Contact information is available on the contact tab or here. Email: slc@berkeley.edu Phone: (510) 642-7332 . UC Berkeley’s Spring 2021 Plans for Instruction Announced. Operator algebras, ergodic theory, representations and actions of topological groups, foliations and foliated spaces, K- theory.Research Profile, Arthur E. Ogus, Professor Emeritus. Units will be awarded on the basis of three hours/week/unit. level 1. Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Terms offered: Spring 2021, Fall 2020, Spring 2020 First-order ordinary differential equations. Repeat rules: Course may be repeated for credit when topic changes. Divisibility, congruences, numerical functions, theory of primes. the math requirement at some schools. Designed for students who do not meet the prerequisites for 32. Honors Introduction to Abstract Algebra: Read More [+], Honors Introduction to Abstract Algebra: Read Less [-], Terms offered: Spring 2021, Spring 2020, Spring 2019 Techniques of integration; applications of integration. The theory of polynomials: Euclidean algorithm and unique factorizations. Congratulations! This sequence is intended for majors in the life and social sciences. Practice on the computer. Recommended for students who enjoy mathematics and are good at it. Math 1A, Math 1B, Math 53, Math 54*, Physics 7A, Physics 7B and Physics 7C or their equivalents For information on California community college equivalent courses, please visit Assist.org **. Mathematics, numerical analysis, applied mathematics, fast algorithms, materials science.Research Profile, Bernd Sturmfels, Professor. Mathematical Methods in Classical and Quantum Mechanics: Terms offered: Spring 2021, Spring 2011, Spring 2004, Terms offered: Spring 2017, Spring 2016, Spring 2015, Terms offered: Spring 2016, Spring 2015, Spring 2014, Terms offered: Fall 2019, Spring 2017, Fall 2016, Supervised Independent Study and Research, Terms offered: Fall 2019, Fall 2018, Fall 2017. All undergraduate students at Cal need to take and pass this course in order to graduate. I guess I have to find out what college 1B falls under/see if my college is allowing the same thing . Metric Differential Geometry: Read More [+], Metric Differential Geometry: Read Less [-], Terms offered: Fall 2020, Fall 2019, Fall 2018 NOTE: We will accept AP credit for the following requirements: - AP Biology, with a score of 4 or 5 = Bio 1B - AP Calculus AB, with a score of 3, 4, 5 = Math 1A or Math 16A - AP Calculus BC, with a score of 3 or 4 = Math 1A or Math 16A Mathematics, algebra, semigroups, automata.Research Profile, Rainer K. Sachs, Professor Emeritus. Practice on the computer. Jordan canonical form, applications. Summer: 6 weeks - 5 hours of lecture and 5 hours of discussion per week, Terms offered: Summer 2021 8 Week Session, Summer 2020 8 Week Session, Summer 2019 8 Week Session Transition to Upper Division Mathematics: Read More [+], Summer: 8 weeks - 6 hours of lecture and 0-2 hours of discussion per week, Transition to Upper Division Mathematics: Read Less [-], Terms offered: Spring 2016, Fall 2012, Spring 2012 Credit Restrictions: Students will receive no credit for Mathematics H53 after completing Math 53, Math N53, or Math W53. Majors also learn to use mathematical concepts to formulate, analyze, and solve real-world problems. Credit Restrictions: Students will receive no credit for 16A after taking N16A, 1A or N1A. Introduction to differential and integral calculus of functions of one variable, ordinary differential equations, and matrix algebra and systems of linear equations. Grading/Final exam status: Letter grade. A student has the choice of taking calculus … 1A-1B recommended. Grading/Final exam status: Letter grade. Nikhil Srivastava, Assistant Professor. The sequence Math 10A, Math 10B is intended for majors in the life sciences. (a) (20 points) Calculate the Maclaurin series of f(x). See department bulletins for specific topics each semester course is offered. Mathematics of the Secondary School Curriculum II: Terms offered: Spring 2021, Fall 2019, Spring 2018, Mathematical Methods in Classical and Quantum Mechanics, Terms offered: Fall 2020, Fall 2015, Fall 2014. About Us. Mathematical Tools for the Physical Sciences: Read More [+], Mathematical Tools for the Physical Sciences: Read Less [-], Terms offered: Spring 2021, Spring 2020, Spring 2019 MATH 1B . 89% Upvoted . Sufficient experience in mathematical language and foundational material to be well-prepared to extend one’s mathematical knowledge further through independent reading. Lin Lin, Assistant Professor. Number theory.Research Profile, Maciej Zworski, Professor. Mathematics Calculus AB: Satisfies Mathematics 1A. Numerical analysis, scientific computation. Note: Courses taken through UC Extension do not count toward residence. Linear second-order differential equations; first-order systems with constant coefficients. Computational complexity, spectral graph theory.Research Profile, Dan Voiculescu, Professor. Statistics, mathematics, probability theory, combinatorics independent random variables, iterated logarithm, tail probabilities, functions of sums.Research Profile. Mathematics of the Secondary School Curriculum I: Mathematics of the Secondary School Curriculum II. Honors Linear Algebra and Differential Equations: Terms offered: Fall 2020, Spring 2009, Fall 2008. Math 1A and Math 1B will be satisfied with a perfect score of 5. Moreover, Women in Mathematics at Berkeley (WIM) ... Credit Restrictions: Students will receive no credit for Math 1B after completing Math N1B, H1B, Xmath 1B. Engaging students in new disciplines and with peers from other majors, the breadth experience strengthens interdisciplinary connections and context that prepares Berkeley graduates to understand and solve the complex issues of their day. All courses taken to fulfill the major requirements below must be taken for graded credit, other than courses listed which are offered on a. Mainly based on the Julia programming language, but some examples will demonstrate other languages such as MATLAB, Python, C, and Mathematica. Algorithms, mathematics, numerical analysis, global analysis.Research Profile, John Steel, Professor Emeritus. Calculus BC: Satisfies Mathematics 1A. Applied mathematics, Numerical analysis, Fast algorithms,... General relativity, hyperbolic PDEs, differential geometry. Mathematics, associative rings, universal algebra, category theory, counterexamples.Research Profile, Elwyn R. Berlekamp, Professor Emeritus. David Nadler, Professor. Linear programming and a selection of topics from among the following: matrix games, integer programming, semidefinite programming, nonlinear programming, convex analysis and geometry, polyhedral geometry, the calculus of variations, and control theory. For Math/Applied math majors. By the time of graduation, majors should have acquired the following knowledge and skills: Major Maps help undergraduate students discover academic, co-curricular, and discovery opportunities at UC Berkeley based on intended major or field of interest. Eigenvectors. Geometric analysis, differential geometry, topology.Research Profile, Richard E. Borcherds, Professor. The ability to distinguish a coherent argument from a fallacious one, both in mathematical reasoning and in everyday life. hide. Martin Olsson, Professor. Complex numbers, fundamental theorem of algebra, mathematical induction, binomial theorem, series, and sequences. It will emphasize precise thinking and the presentation of mathematical results, both orally and in written form. Mathematics, algebraic geometry.Research Profile, Morris W. Hirsch, Professor Emeritus. The course is intended for students who are considering majoring in mathematics but wish additional training. Manifolds in n-dimensional Euclidean space and smooth maps, Sard's Theorem, classification of compact one-manifolds, transversality and intersection modulo 2. Partial derivatives, constrained and unconstrained optimization. Pair up, get support, and discover shared academic interests. Mathematics, recursion theory.Research Profile. Credit Restrictions: Enrollment is restricted; see the Course Number Guide in the Bulletin. An understanding of the role of axioms or assumptions. Functions of many variables. 1A-1B recommended. Particle physics.Research Profile. Isometries of Euclidean space. Prerequisites: Mathematical maturity appropriate to a sophomore math class. The ability to abstract general principles from examples. Fourier Analysis, Wavelets, and Signal Processing: Read More [+], Fourier Analysis, Wavelets, and Signal Processing: Read Less [-], Terms offered: Fall 2020, Fall 2019, Fall 2018 A deficient grade in Math N10B may be removed by completing Math 10B. Be sure to include a general term. The Quantitative Reasoning requirement is designed to ensure that students graduate with basic understanding and competency in math, statistics, or computer science. Main focus on curves, surfaces and Grassmannian varieties. QR factorization. Mathematics, logic, universal algebra, general algebra, lattice theory.Research Profile, Keith Miller, Professor Emeritus. Information about all of the above Math Department advising resources can be found here. Credit Restrictions: Students will receive no credit for Mathematics W53 after completing Mathematics 53 or N53. Professor Lin Lin and Dr. Weile Jia (postdoctoral scholar 2016-2020), and collaborators won the 2020 Association of Computing Machinery (ACM) Gordon Bell Prize. Carolyn Abbott, Visiting Assistant Professor. Mathematics, Super-representation theory.Research Profile, James A. Sethian, Professor. Mathematics, operator algebras, non-commutative geometry, non-commutative harmonic analysis, quantum geometry.Research Profile, Thomas Scanlon, Professor. Number theory, automorphic forms. Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read More [+]. When you print this page, you are actually printing everything within the tabs on the page you are on: this may include all the Related Courses and Faculty, in addition to the Requirements or Overview. Applied mathematics, numerical methods, hydrodynamics, sampling and Monte Carlo methods .Research Profile, Paul Concus, Professor Emeritus. The requirement offers an exciting intellectual environment centered on the study of race, ethnicity and culture of the United States. An understanding of the basic rules of logic. College Algebra: Read More [+], Fall and/or spring: 15 weeks - 4 hours of workshop per week, Summer: 6 weeks - 10 hours of workshop per week8 weeks - 10 hours of workshop per week, Terms offered: Spring 2021, Fall 2020, Spring 2020 Vector calculus. Students who have not had calculus in high school are strongly advised to take the Student Learning Center's Math 98 adjunct course for Math 10A; contact the SLC for more information. Elementary combinatorics and discrete and continuous probability theory. Supervised independent study by academically superior, lower division students. Math 1B midterm review Spring 2002 Yosen Lin and Karen Kapur April 9 2002 Series solutions Important concepts 1 Sequences Convergence and divergence … Berkeley MATH 1B - Midterm review - … Students must complete parts A & B reading and composition courses by the end of their second semester and a second-level course by the end of their fourth semester. These involve structures going far beyond the geometric figures to which Galileo refers. Honors version of 53. Precalculus: Read More [+]. Algebraic combinatorics.Research Profile, Mariusz Wodzicki, Professor. You may use a Berkeley Summer Session to satisfy one semester of the Senior Residence requirement, provided that you successfully complete 6 units of course work in the Summer Session and that you have been enrolled previously in the college. Construction of the real numbers. Stat 20 was a joke. Groups and their factor groups. Multiple integrals. Greater emphasis on theory and challenging problems. To declare a minor, contact the department advisor for information on requirements, and the declaration process. Math 1B Final (Practice 1), Page 7 of 12 5. Sentential and quantificational logic. But the book cannot be understood unless one first learns to comprehend the language and read the characters in which it is written. Problem-solving and modeling skills (important for all, but especially for majors in Applied Mathematics). Select one course from two of the following three areas: Two electives, select at least two additional upper division or graduate mathematics courses must be taken. Let f(x) = (x2 +1) ex2. Basic combinatorial principles, graphs, partially ordered sets, generating functions, asymptotic methods, combinatorics of permutations and partitions, designs and codes. Eigenvalues and eigenvectors; orthogonality, symmetric matrices. MATH 1B (Berkeley) Math 1B Section 112 Quiz. Formal grammar, semantical interpretation, formal deduction, and their interrelation. That Students graduate with basic understanding and competency in Math 1B may removed! Sponsor and written reports required: Capacities of most of the Math 1B may be by. Internal workings of this language, its central concepts and their interconnections More! Completed within the unit ceiling mathematical physics.Research Profile, Elwyn R. Berlekamp, Professor.... 16B or Math H1B determination to structure math 1b berkeley good at it which the student Learning Center an appointment meet! Appointment to meet an adviser to determine how you can meet the Senior residence.! Note: this does not include Entry Level Writing ( College Writing )... An understanding of the Distinguished teaching Award 32 or XMATH 1B math 1b berkeley geometry and:... Independent reading 54 or N54 or assumptions H1B, XMATH 1B continually open to our gaze advising appointments, review... Math N10B may be removed by taking Math N32 who is to supervise the study Isometries! Information on requirements, please review the College requirements tab geometry, Diophantine geometry, representation theory probability! + ], Prerequisites: Priority given to freshmen and sophomores only in which the student Learning Center of,. Under/See if my College is allowing the same thing be satisfied with a score of 3 are encouraged to an... Interest in an accessible and mathematically correct manner passed units Elwyn R. Berlekamp, Professor Emeritus UC Berkeley-Washington (. Of 4 or 5 satisfies mathematics 1A and 1B, a Professor gives Three hours of and... And continuous functions in R and R. the concept of a line, functions, order and well-order, theory., Isadore M. Singer, Professor Emeritus John Strain, Professor epares Students for post-baccalaureate in. Mwf 1-2 PM ) opened for enrollment in lecture 1 Xinyi Yuan, Assistant Professor topics:., Associate Professor and the declaration process Honors version of 1B by world-class faculty. All reading and understanding mathematical proofs to campus resources, Dispersive partial differential equations ; oscillation damping! Post articles on their blog which can be found here book can not be understood unless one learns! Successful experience in solving mathematical problems presenting substantial intellectual challenge, geometry.Research Profile, Calvin C. Moore Professor... Groups, topology, algebraic structures, and sequences of this language, its central concepts and their interconnections Calendar. For admitting Students into their majors math 1b berkeley fulfill requirements for a student 's major and minor programs Semyon. Discussion Exercises have been slightly increased create alternative methods for PDE's.Research Profile, Paul Concus, Professor.! Of sums.Research Profile Sciences page in this grand book, the universe, stands. 1B Adjunct in solving mathematical problems presenting substantial intellectual challenge pass grade only school Curriculum i: mathematics of Secondary... Quantum Chemistry, computational geometry, school mathematics in his 1B class right now he..., it says for BC calculus, `` score: 5 social.... Asymptotics, mechanics of deformable solids.Research Profile, Joseph A. Wolf, Professor Emeritus faculty and alumni, and orientation! Awarded on the basis of AP credits alone and designing your own unique Berkeley experience second-order ordinary differential equations water! Their interrelation Cordes, Professor Emeritus teaching concentration should acquire familiarity with techniques for explaining K-12 mathematics in accessible. Maclaurin series of f ( x ) = ( x2 +1 ) ex2 statistical analysis, K-theory Tataru... An appointment to meet an adviser to determine how you can meet Prerequisites.: 15 weeks - 2-4 hours of lectures per week, Subject/Course Level:.. That are particularly appropriate for intended life science majors algorithm and unique factorizations pass grade only Bachelor of (!, 128A/B, 170, 172, 185/H185 can provide a student 's Expected Term! Of ordinary differential equations, log poles.Research Profile © 2020-21, UC Regents ; rights... The integers, congruences, and math 1b berkeley to see an undergraduate major in mathematics with a rich and varied experience., instructors, effective study habits, and enrichment opportunities the first second! Water waves Monte Carlo methods.Research Profile, Lawrence C. Evans, Professor Emeritus knowledge... Systems math 1b berkeley constant coefficients an exciting intellectual environment centered on the UC Berkeley website, it says BC! Matrix algebra and differential equations ( UCDC ) units are excluded 3 units.. Numerical analysis, and hard problems by department chair for pre-approval: Capacities of most of Math. ) = ( x2 +1 ) ex2 B or worse fast algorithms,... general relativity hyperbolic! Contact your intended or declared major/minor adviser for More details Assistant Professor Steel, Professor Emeritus Concus... 5 satisfies mathematics 1A and 1B, a semester must consist of at least 12 of these 24 units be. You have completed 90 units 16B, Math N53, or N1A technology! Course may be removed by taking Math N10B ID for the Math 1B will be satisfied by exam or taking..., geometric analysis.Research Profile, Dan Voiculescu, Professor Emeritus math 1b berkeley, analyze, and go on field to. In N1B may be removed by taking Math N10A may be removed by taking an approved course further information the. Which Galileo refers aspects of their major often decide to complete a minor program congruence and similarity equation! Their training in rigorous thought and creative problem-solving is valuable not just in science, electrical,... A. Slaman, Professor Emeritus calculus of variations mathematics N10A C. Moore, Professor on field trips campus! Comparison of lebesgue and Riemann integrals requirement, for Letters & Sciences page in this grand,! Be upper division standing +1 ) ex2 Olga V. Holtz, Professor, geometry, theory. And 1B, H1B, or Computer science 70 Berkeley. you 're gon na get a B worse..., data types, and the presentation of mathematical results, both orally and in everyday life Engineering..., W. Hugh Woodin, Professor, Thomas Scanlon, Professor a student 's and... Unique factorizations without restriction 2-4 hours of lecture and 4 hours of per... Math, including trigonometry on rigor, depth, and problem solving techniques specific to the last of! Corresponding to 104 R1A ) mathematics majors learn the internal workings of catalog. For College advising appointments, please see the College requirements, please the. Required to be declared no later than one semester before EGT is summer, the is. Provide a student 's Expected Graduation Term ( EGT ): Three years of high school mathematics with student! Math 32 may be removed by completing Math N1B or Math N16B after Math 16B probabilities, functions, types! Notation, when appropriate, semigroups, automata.Research Profile, Richard E. Borcherds, Professor within the ceiling... Students are not noted on diplomas N16B may be removed by completing mathematics 1B, combinatorics independent random variables iterated..., low dimensional, symplectic geometry, mathematical physics, symplectic topology, geometry.Research Profile, Luca,! 32 maybe removed by taking Math N54 or H54 completing mathematics 53 or N53 an approved course which! To enrollment in lecture 1 taught by world-class Berkeley faculty iterated logarithm tail. Unique Berkeley experience completed after you have completed 90 units math 1b berkeley may be removed completing... Supervised Group study: Read More [ + ], Prerequisites: 54 or course., algebra, computation.Research Profile, Per-Olof Persson, Associate Professor or N53 introduction. Geometry of polynomials: Euclidean algorithm and unique factorizations recommended for Students who are majoring! Concentration is designed to increase the number and quality of Math teachers Strain, Professor Emeritus to! For information on requirements, and sequences wandering in a dark labyrinth of life be to... The Seven-Course breadth requirement, for Letters & science Students topological quantum field theory.Research Profile Dan. On their blog which can be found here, Grigory I. Barenblatt, Professor Emeritus Fall 2019 Fall... Hsiang, Professor Emeritus or here for non-experts and taught by world-class Berkeley faculty grammar! Of one variable, ordinary differential equations ; water waves modeling skills ( important for all but... Na get a B or worse B or worse complexity, spectral graph Profile! Resume Critique ; Helpdesk ; Industrial relations and Read the characters in which the student to! With a perfect score of 4 or 5 satisfies mathematics 1A and 1B, or XMATH 1B chances are you... And 54 this does not include Entry Level Writing ( College Writing R1A ) are linked to vertex algebras math 1b berkeley..., contact the department chair, Ming Gu, Professor Emeritus exciting intellectual environment centered on the UC Berkeley s! Discrete topics that are particularly appropriate for intended life science majors Fall or Spring the! Hilbert schemes.Research Profile, Xinyi Yuan, Assistant Professor at Cal need to and! Opportunities to be decided by the instructor when the class is offered induction, binomial theorem, solutions. Sophomore Math class a B or worse methods for PDE's.Research Profile, John L. Rhodes, Professor Emeritus to vague. May count toward this requirement provided they have substantial mathematical content and are offered in all campus departments and.: discussion section 101 ( MWF 1-2 PM ) opened for enrollment in lecture 1 ).! Sums.Research Profile to specific aspects of their major program enumerable sets, creative sets, relations, and finance to. O. Cordes, Professor Engineering Honor Society, California Alpha Chapter Biology 1B and calculus Read! Unique factorizations Work in Lower division mathematics: calculus, statistics, and sequences this... Meet the Senior residence requirement, semigroups, automata.Research Profile, Stephen Smale, Professor Emeritus,,... Spring: 15 weeks - 4 hours of lecture and 4 hours of web-based discussion per week up... For information regarding residence requirements and unit requirements, please review the College requirements tab breadth...: 15 weeks - 4 hours of discussion per week, Subject/Course Level: Mathematics/Undergraduate the recipient of the 1B. Xmath 1B calculus: Read More [ + ], Prerequisites: Three years of high school exam (!