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Grading basis/credits:
Prereq: 3 yrs high school math or placement exam or grade of at least C- in GC 0731
Description: Student may contact the instructor or department for information.
Instructor: Rejto,Peter A
Grading basis/credits:
Prereq: Satisfactory score on placement exam or grade of at least C- in [PSTL 731 or PSTL 732] Credit will not be granted if credit has been received for: 1051, 1151, 1155
Description: Overview: Linear and quadratic equations and inequalities; graphs of equations, including lines, circles, parabolas, composition, inverses of functions; transformations of graphs; linear, quadratic models; polynomials; exponentials; logarithms; counting; probability. Audience: Business majors wanting to take Math 1142 and elementary education majors wanting to take Math 3113. Also works as prerequisite for Math 1151. Satisfies the CLE Mathematical Thinking requirement.
Instructor: STAFF
Grading basis/credits:
Prereq: Satisfactory score on placement exam or grade of at least C- in [PSTL 731 or PSTL 732] Credit will not be granted if credit has been received for: 1051, 1151, 1155
Description: Math 1031 is a course in algebra and analytic geometry beyond the usual coverage found in a three-year high school mathematics program. This course is equivalent to Math 1051, Precalculus I (3 credits). As the Course Outline indicates, this course covers topics on solving equations and inequalities, and explores straight lines and functions in general. The functions discussed include exponential and logarithmic functions. You will learn to analyze certain functions and draw their graphs. The course will also teach you how to solve systems of equations and the use of certain sequences of numbers. You will also learn counting techniques and basic probability concepts. Almost all sections in the textbook contain application problems so that you can see the connection to and the usefulness of theoretical mathematics in our daily lives. This course can serve as a terminal course in mathematics as well as a precursor to higher mathematics, depending on your needs. In many places in the course, concepts are developed that will feed into calculus. Like any other course in mathematics, this course is challenging. If you do the work patiently, logically, and with due diligence, however, you will find it easy to master the material. Countless other students have done exactly that.
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed, correspondence section.
Work Load: 3 exams, 7 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework. See downloadable syllabus for complete rgading information.
Exam Format: Two midcourse examinations and a final exam. All exams are closed book and closed notes. No formulas are provided. You may use a hand-held scientific calculator. You may not bring or use a graphing calculator when you take the exams.
Instructor: Kinney,Donald Patrick
Grading basis/credits:
Prereq: 1051 or 1151 or 1155
Description: Intended for students who have already had the equivalent of Math 1051 and need the Probability and Counting component of Math 1031. Students take the first part of Math 1031, and their grade is based on their performance up to the first midterm exam. Contact the department to get a permission number into this class. Students will register to Math 1038 but attend a section of Math 1031. Students should choose a section of Math 1031 they wish to attend before contacting the department.
Instructor: STAFF
Grading basis/credits:
Prereq: Satisfactory score on placement test or grade of at least C- in [PSTL 731 or PSTL 732] Credit will not be granted if credit has been received for: 1031, 1151, 1155
Description: This course assumes that students have a good working knowledge of high school algebra, at least through Algebra II. The course begins with a very brief review of high school algebra. Students needing a more extensive review should register for PsTL 0731 or PsTL 0732 Intermediate Algebra. Topics include linear, quadratic, polynomial, and rational equations and inequalities; graphs of equations, including lines, circles, parabolas, polynomial, rational, exponential, and logarithmic functions; compositions and inverses of functions; transformations of graphs; linear and quadratic models; linear, absolute value, polynomial, rational, exponential, and logarithmic functions, with applications. This course is for students who wish to complete precalculus at a moderate pace; the Math 1051/Math 1151 combination is equivalant to Math 1155 Intensive Precalculus and satisfies the prerequisite for Math 1271 or Math 1371. Math 1051 and Math 1038 essentially equals Math 1031 and satisfies the CLE Mathematical Thinking requirement.
Class URL: http://www.tc.umn.edu/%7Edroberts/
Class Time: 75% Lecture, 25% Discussion.
Work Load: 20 pages reading per week, 3 exams. 30 to 60 homework problems assigned each week
Grade: 45% mid exam, 35% final exam, 20% problem solving.
Exam Format: Solve problems such as "Graph f(x) = (x^3 - 1)/(x^2 - 9)
Instructor: STAFF
Grading basis/credits:
Prereq: Satisfactory score on placement test or grade of at least C- in [PSTL 731 or PSTL 732] Credit will not be granted if credit has been received for: 1031, 1151, 1155
Description: This is a course in algebra and analytic geometry beyond the usual coverage found in a three-year high school mathematics program. This course is equivalent to Math 1031, College Algebra and Probability. It is a prerequisite for Math 1151, Precalculus II. As the Course Outline indicates, this course covers topics on solving equations and inequalities, and explores polynomials, rational expressions, exponents, and radicals. The course will also teach you how to solve systems of equations and the use of certain sequences of numbers. You will also learn counting techniques. Almost all sections in the textbook contain application problems so that you can see the connection to and the usefulness of theoretical mathematics in our daily lives. This course can serve as a terminal course in mathematics as well as a precursor to higher mathematics, depending on your needs. In many places in the course, concepts are developed that will feed into calculus. Like any other course in mathematics, this course is challenging. If you do the work patiently, logically, and with due diligence, you will find it easy to master the material. Countless other students have done exactly that.
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed, correspondence section.
Work Load: 3 exams, 7 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework. See downloadable syllabus for complete grading information.
Exam Format: All exams are closed book and closed notes. No formulas are provided. You may use a hand-held scientific calculator when you take the exams. You cannot bring or use a graphing calculator when you take the exams.
Instructor: Kinney,Donald Patrick
Grading basis/credits:
Equivalencies:
Prereq: Satisfactory score on placement test or grade of at least C- in [1031 or 1051]
Description: Overview: A one-semester tour of differential and integral calculus in one variable, and differential calculus in two variables. Does not involve any trigonometry. Emphasis on formulas and their interpretation and use in applications. Audience: Business, architecture, and agricultural science majors, and students who want some exposure to calculus. Does not serve as a prerequisite to any higher math course, but does satisfy the CLE Mathematical Thinking requirement.
Instructor: STAFF
Grading basis/credits:
Equivalencies:
Prereq: Satisfactory score on placement test or grade of at least C- in [1031 or 1051]
Description: This course is designed for people who need only a brief introduction to calculus. Its purpose is to teach you the elements of differential and integral calculus, with an emphasis on business, economics, and the social sciences. This course requires proficiency in algebra. Knowledge of trigonometry is not needed. Some people think that mathematics is too abstract and too distant from everyday life. In this course, the authors of your textbook try to make the material come alive for you. You will be introduced to the ideas of limits of functions at particular points and continuity of functions. These concepts lead to the definitions of derivative and differentiation. You will learn how to differentiate polynomial, rational, exponential, and logarithmic functions. After you master differentiation techniques, you will learn integration of certain functions. The differentiation and integration techniques and connected processes are applied to solving problems related to real-life situations. You will work problems involving maximization of profits, minimization of costs, and other optimization problems. You will also tackle problems dealing with various rates, taxes, population growth, pollution levels, worker efficiency, spread of an epidemic, SAT scores, retail sales, radioactive decay, postal regulations, landscaping, experimental psychology, and other topics. Course Outline: Lesson 1: Functions and Limits Lesson 2: Differentiation Lesson 3: Marginal Analysis, Implicit Differentiation, and Relative Extrema of Functions Lesson 4: Curve Sketching and Optimization Lesson 5: Midcourse Exam 1 Lesson 6: Exponential and Logarithmic Functions Lesson 7: Integration Lesson 8: Additional Topics in Integration Lesson 9: Midcourse Exam 2 Lesson 10: Calculus of Two Variables Lesson 11: Final Exam Required Textbook: Hoffmann, Laurence D., Gerald L. Bradley, with Kenneth H. Rosen. Calculus for Business, Economics, and the Social and Life Sciences. 8th ed. New York: McGraw-Hill Companies, Inc., 2004. IMPORTANT: Your instructor will not accept coursework based on the use of other editions of this textbook. All assignments for the course are based on the 8th edition, no exceptions. Suggested Supplement: Nichols, Devilyna. Student Solutions Manual for use with Calculus for Business, Economics, and the Social and Life Sciences, 8th Edition. New York: McGraw-Hill Companies, 2004.
Class URL: http://www.cce.umn.edu
Class Time: This is a printed correspondence section.
Work Load: 3 exams, 8 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework.
Instructor: Corbett,John
Grading basis/credits:
Prereq: Satisfactory score on placement exam or grade of at least C- in [1031 or 1051] credit will not be granted if credit received for: Math1155
Description: Overview: Trigonometric functions and inverse trigonometric functions: definitions, graphs, identities, applications; real and complex zeroes of polynomials; polar coordinates; DeMoivre's Theorem; conic sections; solutions of linear systems by substitution and elimination; systems of nonlinear equations and systems of inequalities; arithmetic sequences and geometric series. Audience: Students from Math 1051 or Math 1031 and those that need a little refresher course before going on to calculus, often because of the trig. Satisfies the prerequisite for Math 1271 or Math 1371 and also satisfies the CLE Mathematical Thinking requirement.
Instructor: STAFF
Grading basis/credits:
Prereq: Satisfactory score on placement exam or grade of at least C- in [1031 or 1051] credit will not be granted if credit received for: Math1155
Description: This is a course in algebra, analytic geometry, and trigonometry beyond the usual coverage found in a four-year high school mathematics program. In many places in the course, concepts are developed that will feed into calculus. Depending on your needs, this course can serve as a terminal course in mathematics or as a precursor to higher mathematics. It is designed to prepare students for the full calculus sequence. Course Outline: Lesson 1--Polynomial Functions, submission 1 Lesson 2--Exponential and Logarithmic Functions, submission 2 Lesson 3--Trigonometric Functions, submission 3 Lesson 4--Midcourse Exam 1 Directions, submission 4 Lesson 5--Inverse Trigonometric Functions and Trigonometric Identities, submission 5 Lesson 6--Trigonometric Formulas and Equations, submission 6 Lesson 7--Applications of Trigonometric Functions, submission 7 Lesson 8--Midcourse Exam 2 Directions, submission 8 Lesson 9--Polar Coordinates, Partial Fraction Decomposition, and Sequences, submission 9 Lesson 10--Final Exam Directions, submission 10 Course Text: --Sullivan, Michael. Precalculus, 8th edition. New York: Pearson/Prentice Hall, 2008. This textbook comes bundled with Student Solutions Manual, Algebra Review (review of intermediate algebra), a CD Lecture Series tied to Precalculus, and access to the Pearson Tutor Center (one-to-one tutoring for any problem with an answer at the back of the textbook).
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed, correspondence section.
Work Load: 3 exams, 7 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework.
Exam Format: All exams are closed-book; you cannot use any books, notes, or a computer (not even the calculator portion of a computer). No formulas are provided. You may use a hand-held scientific calculator. You cannot bring or use a graphing calculator.
Instructor: Kinney,Donald Patrick
Grading basis/credits:
Prereq: Satisfactory score on placement exam or grade of at least C- in [PSTL 731 or PSTL 732] Credit will not be granted if credit has been received for: Math 1031, 1051, 1151
Description: Student may contact the instructor or department for information.
Instructor: Kirchner,Nicholas Raymond
Grading basis/credits:
Prereq: Three yrs high school math or placement exam Only Rochester-admitted students will be able to enroll in this course.
Description: Student may contact the instructor or department for information.
Instructor: Huq,Aminul
Grading basis/credits:
Equivalencies:
Prereq: Satisfactory score on placement test or grade of at least C- in [1151 or 1155]
Description: Overview: Tangent lines; limits and continuity; differentiation: definition, basic rules, chain rule, rules for trig, exp and log functions; implicit differentiation; rates of change, max-min, related rates problems; 2nd derivative test; curve sketching; linear approximation and differentials; L'Hospital's rule; integration: definition, antidifferentiation, area; simple substitution; volumes of solids by cross sections and shells; work; average value of a function. Audience: The beginning of the standard course for students outside of IT. Also taken by IT students who need to start calculus in the middle of year. Students desiring only one semester of calculus should take Math 1142.
Instructor: STAFF
Grading basis/credits:
Equivalencies:
Prereq: Satisfactory score on placement test or grade of at least C- in [1151 or 1155]
Description: The beauty of mathematics lies in its precision. We can see this in the definition of its terms and the proofs of its results. In mathematics, we are asked to believe something only after seeing it proven. The concept of limits is what bridges the gap between the mathematics of algebra and geometry and the mathematics of calculus. In this course you will study one of the central concepts of calculus, the derivative of a function, the most important of which is lines tangent to curves. Determining tangent lines by means of limits leads to the definition of the derivative of a function, which has important applications in connection with velocity, acceleration, and certain economic concepts. We will develop formulas that make calculating the derivative of a function relatively straightforward. The work you invest in memorizing these formulas will pay big dividends in the future. In Math 1271, you will study derivatives of the six trigonometric functions: sine, cosine, secant, cosecant, tangent, and cotangent. You will use the powerful chain rule for finding the derivatives of composite functions. You will also study the mean-value theorem, which is of great importance in theoretical mathematics, and its application to increasing and decreasing functions and to the maxima and minima of functions. In addition, you will find the derivatives of higher orders - especially the second order - that are useful in discussing concavity and the points of inflection of a graph of a given function. Implicit differentiation, a form of the chain rule, is practical in theoretical work and useful in the integration techniques. You will also study basic integrals and their applications.
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed, correspondence section.
Work Load: 3 exams, 11 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework. Please see downloadable syllabus for complete grading information.
Instructor: Frank,David L
Grading basis/credits:
Equivalencies:
Prereq: [1271 or equiv] with grade of at least C-
Description: Overview: Techniques of integration, including integration by parts, simple trig substitutions, partial fractions. Basic numerical integration; improper integrals; arc length; area of surface of revolution. Separable differential equations, Euler's method, exponential growth and decay. Parametric curves and polar coordinates. Review of conic sections. Sequences and series, comparison and ratio tests, Taylor series and polynomials. Vectors in three dimensions, dot product, cross product, lines, planes, cylinders, quadric surfaces; cylindrical and spherical coordinates. Audience: Part of the standard calculus course for students outside of IT.
Instructor: STAFF
Grading basis/credits:
Equivalencies:
Prereq: [1271 or equiv] with grade of at least C-
Description: In this course you will study techniques of integration and more applications of integrations. In addition, you will explore the parametric equations of curves and use this system to study more applications of integrals. You will also continue to study polar coordinates. And, you will study some sequences and series. The last major topic of this course is coordinate geometry in three dimensions, which is an introduction to the study of multivariable calculus.
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed, correspondence section.
Work Load: 3 exams, 10 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework. See downloadable syllabus for complete grading information.
Exam Format: Closed-book, proctored exams.
Instructor: Hewitt,Harlan A
Grading basis/credits:
Equivalencies:
Prereq: IT, background in [precalculus, geometry, visualization of functions/graphs], instr consent; familiarity with graphing calculators recommended
Description: Student may contact the instructor or department for information.
Instructor: Miracle,Chester L
Grading basis/credits:
Equivalencies:
Prereq: IT, background in [precalculus, geometry, visualization of functions/graphs], instr consent; familiarity with graphing calculators recommended
Description: Student may contact the instructor or department for information.
Instructor: Lewicka,Marta
Grading basis/credits:
Equivalencies:
Prereq: IT, background in [precalculus, geometry, visualization of functions/graphs], instr consent; familiarity with graphing calculators recommended
Description: Student may contact the instructor or department for information.
Instructor: Guo,Ren
Grading basis/credits:
Equivalencies:
Prereq: Grade of at least C- in [1371 or equiv], IT
Description: Student may contact the instructor or department for information.
Instructor: Frank,David L
Grading basis/credits:
Equivalencies:
Prereq: Grade of at least C- in [1371 or equiv], IT
Description: Student may contact the instructor or department for information.
Instructor: Pogan,Alexandru Alin
Grading basis/credits:
Equivalencies:
Prereq: Honors student and permission of University Honors Program
Description: Student may contact the instructor or department for information.
Instructor: Spirn,Daniel
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-
Description: Overview: The course is divided into two somewhat related parts. Linear algebra: matrices and matrix operations, Gaussian elimination, matrix inverses, determinants, vector spaces and subspaces, dependence, Wronskian, dimension, eigenvalues, eigenvectors, diagonalization. ODE: Separable and first-order linear equations with applications, 2nd order linear equations with constant coefficients, method of undetermined coefficients, simple harmonic motion, 2x2 and 3x3 systems of linear ODE's with constant coefficients, solution by eigenvalue/eigenvectors, nonhomogenous linear systems; phase plane analysis of 2x2 nonlinear systems near equilibria. Audience: Part of the standard 2nd year calculus course for students outside of IT.
Instructor: STAFF
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-
Description: In this course you will study the concepts of linear algebra and differential equations. You?ll start by examining first-order differential equations and their applications. Then you will study linear algebra with some applications. The last major topic you will study is higher order equations and their application to physics. Before you begin studying the topics of this course, you?ll probably find it helpful to review the calculus of one variable. Course Outline: 1. Basic Definitions and Separable Differential Equations 2. Exact and Linear Differential Equations 3. Applications: Radioactive Decay and Mixture Problems 4. Systems of Linear Equations and Matrices 5. Determinants, Cramer?s Rule, and the Inverse of a Matrix 6. Midcourse Exam 1 7. Vector Spaces, and Characteristic Values and Vectors 8. Higher Order, Constant Coefficient, and Nonhomogeneous Equations 9. Undetermined Coefficients and Variation of Parameters 10. Midcourse Exam 2 11. Linear Systems of Differential Equations 12. Solutions by Characteristic Values 13. Final Exam Course Materials: Rabenstein, Albert L. Elementary Differential Equations With Linear Algebra, 4th edition. Saunders College Publishing, 1992.
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed correspondence section.
Work Load: 3 exams, 10 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework. If you take this course S/N, you must earn at least 70% to receive a grade of S.
Instructor: Hewitt,Harlan A
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1372 or 1572] w/grade of at least C-
Description: Overview: Multivariable calculus: Curves in space, arc length and curvature, velocity and acceleration. Limits and continuity, partial differentiation, local extrema, exact differentials, chain rule, directional derivative and gradient, Lagrange multipliers, 2nd derivative test. Double integration, volume and other applications, polar coordinates, triple integration, cylindrical and spherical coordinates. Vector analysis: Vector fields, line integrals, path independence, Green's Theorem, surface integrals, Theorems of Gauss and Stokes. Audience: Part of the standard 2nd year calculus course for students outside of IT.
Instructor: STAFF
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1372 or 1572] w/grade of at least C-
Description: In this course you will study the concepts of multivariable calculus, an extension of differential and integral calculus. You will start by examining partial derivatives and their application to maxima, minima, rate problems, and approximations. Then you will study double and triple integrals and their applications to volume and mass. The last major topic you will study is vector analysis and its application to the work done by a force, flux, and other physical quantities. Before you begin studying the topics of this course, you may find it helpful to review the calculus of one variable that you studied in Math 1271 (Calculus I) and Math 1272 (Calculus II), or their equivalents. Almost all students will profit from a review of integration techniques. Course Outline: Lesson 1: Vector Functions Lesson 2: Functions of Several Variables; Limits; Partial Derivatives Lesson 3: Tangent Planes; Differentials; the Chain Rule Lesson 4: Directional Derivatives; the Gradient Vector; Maxima and Minima Lesson 5: Midcourse Exam 1 Directions Lesson 6: Double Integrals and Volume Lesson 7: Polar Coordinates; More Applications Lesson 8: Triple Integrals and Change of Variables Lesson 9: Triple Integrals; Cylindrical and Spherical Coordinates Lesson 10: Midcourse Exam 2 Directions Lesson 11: Vector Fields; Line Integrals; Fundamental Theorem Lesson 12: Green?s Theorem; Curl; Divergence; Parametric Surfaces Lesson 13: Surface Integrals; Divergence; Stokes Theorem Lesson 14: Final Exam Directions Course Text: Stewart, James. Calculus, Early Transcendentals, 6th edition. Belmont, Calif: Thomson/Brooks/Cole, 2008. This textbook includes an optional CD-ROM. Note: This textbook is also used for Math 1271 and 1272.
Class URL: http://www.cce.umn.edu/odl
Class Time: This is a printed correspondence section.
Work Load: 3 exams, 11 homework assignments.
Grade: 40% mid exam, 40% final exam, 20% written homework.
Instructor: Hewitt,Harlan A
Grading basis/credits:
Equivalencies:
Prereq: [Concurrent registration is required (or allowed) in 2243 or Concurrent registration is required (or allowed) in 2263 or Concurrent registration is required (or allowed) in 2373 or Concurrent registration is required (or allowed) in 2374] w/grade of at least C-
Description: Student may contact the instructor or department for information.
Instructor: Diaconu,Adrian
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, IT
Description: Student may contact the instructor or department for information.
Instructor: Miracle,Chester L
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, IT
Description: Student may contact the instructor or department for information.
Instructor: Lerman,Gilad M
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, IT
Description: Student may contact the instructor or department for information.
Instructor: Brenner,Eliot P
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, IT
Description: Student may contact the instructor or department for information.
Instructor: Wang,Jiaping
Grading basis/credits:
Equivalencies:
Prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, IT
Description: Student may contact the instructor or department for information.
Instructor: Sayas,Francisco Javier
Grading basis/credits:
Equivalencies:
Prereq: Math 1572H, honors student and permission of University Honors Program
Description: Student may contact the instructor or department for information.
Instructor: Prikry,Karel L
Grading basis/credits:
Prereq: Grade of at least C- in [1031 or PSTL 1006] or placement exam
Description: Student may contact the instructor or department for information.
Co-Instructor: Stanton,Dennis W
Co-Instructor: Stanley,Terrence
Grading basis/credits:
Equivalencies:
Prereq: [Concurrent registration is required (or allowed) in 2243 or Concurrent registration is required (or allowed) in 2263 or Concurrent registration is required (or allowed) in 2373 or Concurrent registration is required (or allowed) in 2374] w/grade of at least C-
Description: Student may contact the instructor or department for information.
Instructor: Baxter,John Robert
Grading basis/credits:
Prereq: dept consent; for students with mathematical talent
Description: Student may contact the instructor or department for information.
Instructor: Moeckel,Richard B
Grading basis/credits:
Prereq: 1272 or 1372 or 1572; primarily for [mathematics, business] majors interested in actuarial science
Description: Student may contact the instructor or department for information.
Instructor: Ashkenazi,Rina
Grading basis/credits:
Equivalencies:
Prereq: 2243 or 2373 or 2573
Description: Student may contact the instructor or department for information.
Instructor: Moeckel,Richard B
Grading basis/credits:
Equivalencies:
Prereq: 2243 or 2373 or 2573
Description: (Tentative description) This is the basic course in linear algebra, with applications. Topics include: linear trans-formations, matrix calculus, solutions of systems of linear equations, null space, range, rank-nullity theorem, orthogonality, orthogonal projections, fundamental theorem of linear algebra, SDU decompositions, bilinear forms, groups of linear operators. Selected Applications, for example: Gram-Schmidt process, Least-squares approximations, computer graphics and perspective.
Class Time: 100% Lecture.
Exam Format: problem solving
Instructor: Sell,George R
Grading basis/credits:
Equivalencies:
Prereq: 2243 or 2373 or 2573
Description: Student may contact the instructor or department for information.
Instructor: Wang,Jiaping
Grading basis/credits:
Equivalencies:
Prereq: 2243 or 2373 or 2573
Description: Student may contact the instructor or department for information.
Instructor: Guo,Yujin
Grading basis/credits:
Prereq: 2243 or 2373 or 2573
Description: Student may contact the instructor or department for information.
Instructor: Meyers,Norman G
Grading basis/credits:
Prereq: 2243 or 2373 or 2573
Description: Student may contact the instructor or department for information.
Instructor: Miller Jr,Willard
Grading basis/credits:
Prereq: [2263 or 2374 or 2573], [2283 or 2574 or 3283 or instr consent ]; Credit will not be granted if credit has been received for:5615
Description: Student may contact the instructor or department for information.
Instructor: Hejhal,Dennis A
Grading basis/credits:
Prereq: [2263 or 2374 or 2573]; [2283 or 2574 or 3283] recommended
Description: Student may contact the instructor or department for information.
Instructor: Gray,Lawrence F
Grading basis/credits:
Prereq: 2243, [2283 or 3283]
Description: Student may contact the instructor or department for information.
Instructor: Stanton,Dennis W
Grading basis/credits:
Prereq: 2243, [2283 or 3283]
Description: Student may contact the instructor or department for information.
Instructor: White,Dennis E
Grading basis/credits:
Prereq: 2 sem of upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Frank,David L
Grading basis/credits:
Prereq: 2 sem of upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor:
Fristedt,Bert
(Morse Alumni Award)
Grading basis/credits:
Prereq: 2 sem of upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Gray,Lawrence F
Grading basis/credits:
Prereq: 2 sem of upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: White,Dennis E
Grading basis/credits:
Prereq: 2 sem of upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Cooper,Bobbe J
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Anderson,Greg William
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Rejto,Peter A
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Baxter,John Robert
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Rogness,Jonathan Peter
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Polacik,Peter
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Nykamp,Duane Q
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: O'Brien,Larry John
Grading basis/credits:
Prereq: 2 sem upper div math, dept consent
Description: Student may contact the instructor or department for information.
Instructor: Shemyakin,Arkady
Grading basis/credits:
Prereq: 4065, [one sem [4xxx or 5xxx] [probability or statistics] course]
Description: Student may contact the instructor or department for information.
Instructor: O'Brien,Larry John
Grading basis/credits:
Prereq: Two yrs calculus, basic computer skills
Description: Student may contact the instructor or department for information.
Instructor: Shemyakin,Arkady
Grading basis/credits:
Equivalencies:
Prereq: 2283 or 3283 or Phil 5201 or CSci course in theory of algorithms or instr consent
Description: See the web site for Professor Richter at http://www.math.umn.edu/~richter/
Class URL: http://www.math.umn.edu/~richter/
Instructor: Richter,Wayne H
Grading basis/credits:
Prereq: 2 sems soph math
Description: Student may contact the instructor or department for information.
Instructor: Baxter,John Robert
Grading basis/credits:
Prereq: 2 sems soph math
Description: Student may contact the instructor or department for information.
Instructor: Brenner,Eliot P
Grading basis/credits:
Prereq: 2 sems soph math
Description: Student may contact the instructor or department for information.
Instructor: Cooper,Bobbe J
Grading basis/credits:
Prereq: [2243 or 2373 or 2573], [2283 or 2574 or 3283]
Description: Student may contact the instructor or department for information.
Instructor: Lawson,Tyler
Grading basis/credits:
Prereq: [2243 or 2373 or 2573], [concurrent enrollment 2263 or concurrent enrollment 2374 or concurrent enrollment 2574]
Description: Student may contact the instructor or department for information.
Instructor: Rogness,Jonathan Peter
Grading basis/credits:
Prereq: [2263 or 2374 or 2573], [concurrent enrollment 2283 or concurrent enrollment 2574 or concurrent enrollment 3283]
Description: Student may contact the instructor or department for information.
Instructor: Mosher,Bryan
Grading basis/credits:
Prereq: 2243 or 2373 or 2574
Description: Student may contact the instructor or department for information.
Instructor: Nykamp,Duane Q
Grading basis/credits:
Prereq: [2243 or 2373 or 2573], familiarity with some programming language
Description: Student may contact the instructor or department for information.
Instructor: Stinis,Panos
Grading basis/credits:
Prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]
Description: Student may contact the instructor or department for information.
Instructor: Nykamp,Duane Q
Grading basis/credits:
Prereq: 2 sems soph math [including [2263 or 2374 or 2573], [2283 or 3283]] recommended
Description: Student may contact the instructor or department for information.
Instructor: Anderson,Greg William
Grading basis/credits:
Prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]
Description: Student may contact the instructor or department for information.
Instructor: Chen,Ming
Grading basis/credits:
Prereq: [[2243 or 2373], [2263 or 2374], [2283 or 3283]] or 2574
Description: Student may contact the instructor or department for information.
Instructor: Anderson,Greg William
Grading basis/credits:
Prereq: [[2243 or 2373], [2263 or 2374], [2283 or 3283]] or 2574
Description: Student may contact the instructor or department for information.
Instructor: Conn,Jack Frederi
Grading basis/credits:
Prereq: [2263 or 2374 or 2573], [2243 or 2373]; [2283 or 2574 or 3283] recommended; Credit will not be granted if credit has been received for: Stat 4101, Stat 5101.
Description: Math 5651 is a basic introduction to probability with some applications to statistics. It presents the mathematical background for physical intuition. The theoretical and computational part is based on single- and multivariable calculus, which are prerequisites for this course. The text for the course is "Probability and Statistics", Third Edition, by Morris H. DeGroot and M.J. Schervish, published by Addison-Wesley. We plan to cover Chapters 1-5 (with some exceptions), and Sections 6.1-6.2. The grade will be based on two midterm exams, a final examination, and biweekly homework assignments. Math 5651 is essentially the same as Stat 5101, so that either course can serve as a prerequisite for the following three courses: Math 5652, Introduction to Stochastic Processes; Math 5654, Prediction and Filtering; and Stat 5102, Theory of Statistics II. Any or all of these courses may be taken for credit, and in any order.
Class URL: http://www.math.umn.edu/~safonov/
Class Time: 85% Lecture, 15% Discussion.
Work Load: 20 pages reading per week, 3 exams. biweekly homework assignments
Grade: 40% mid exam, 40% final exam, 20% problem solving.
Exam Format: Problem solving and proofs
Instructor: Safonov,Mikhail V
Grading basis/credits:
Prereq: 5651 or Stat 5101
Description: Topics: Conditioning. Markov chains. Martingales. Poisson processes. Renewal theory. Random walk and Brownian motion. This roughly covers the material in the official textbook: ``Essentials of Stochastic Processes" by R. Durrett (Springer, 1999). Each student will be required to take notes from one lecture. The notes will be distributed to the class.
Class URL: http://www.math.umn.edu/~zeitouni/5652
Class Time: 100% Lecture.
Work Load: 20 pages reading per week, 2 exams, 1 papers. 6 homework sheets
Grade: 10% reports/papers, 20% problem solving, 70% other evaluation. two exams during term, each 2 hours, each 35% of grade
Instructor: Zeitouni,Ofer
Grading basis/credits:
Prereq: [2243 or 2373 or 2573], [2263 or 2283 or 2374 or 2574 or 3283]
Description: Student may contact the instructor or department for information.
Instructor:
Fristedt,Bert
(Morse Alumni Award)
Grading basis/credits:
Prereq: 2 sems soph math [including 2243 or 2373 or 2573]
Description: Student may contact the instructor or department for information.
Instructor: Rangarajan,Bharath
Grading basis/credits:
Prereq: 4xxx algebra or equiv or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Cooper,Bobbe J
Grading basis/credits:
Prereq: 4xxx algebra or equiv or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Cooper,Bobbe J
Grading basis/credits:
Prereq: 8202 or #
Description: Student may contact the instructor or department for information.
Instructor: Garrett,Paul B
Grading basis/credits:
Prereq: 8202 or #
Description: Student may contact the instructor or department for information.
Instructor: Garrett,Paul B
Grading basis/credits:
Prereq: 8202 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Sperber,Steven I.
Grading basis/credits:
Prereq: 8202 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Ciocan-Fontanine,Ionut
Grading basis/credits:
Prereq: Math 8201, Math 8202; offered for one year or one semester as circumstances warrant
Description: Student may contact the instructor or department for information.
Instructor: Messing,William
Grading basis/credits:
Prereq: 8302 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Jiang,Dihua
Grading basis/credits:
Prereq: Grad math major or #; offered as one yr or one sem crse as circumstances warrant
Description: Student may contact the instructor or department for information.
Instructor: Lyubeznik,Gennady
Grading basis/credits:
Prereq: [Some point-set topology, algebra] or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Kahn,Donald William
Grading basis/credits:
Prereq: [Some point-set topology, algebra] or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Kahn,Donald William
Grading basis/credits:
Prereq: 8301 or basic point-set topology or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Li PhD,Tian-Jun
Grading basis/credits:
Prereq: 4xxx numerical analysis and applied linear algebra or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Othmer,Hans George
Grading basis/credits:
Prereq: [4xxx analysis, 4xxx applied linear algebra] or #
Description: Student may contact the instructor or department for information.
Instructor: Luskin,Mitchell B
Grading basis/credits:
Prereq: 4xxx numerical analysis, 4xxx partial differential equations or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Arnold,Douglas N.
Grading basis/credits:
Prereq: 4xxx ODE or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Scheel,Arnd
Grading basis/credits:
Prereq: [Some 5xxx PDE, 8601] or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Spirn,Daniel
Grading basis/credits:
Prereq: 5616 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Mc Gehee,Richard P
Grading basis/credits:
Prereq: 5616 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Mc Gehee,Richard P
Grading basis/credits:
Prereq: 5616 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Bobkov,Sergey G
Grading basis/credits:
Prereq: 8652 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Krylov,Nicolai Vladimi
Grading basis/credits:
Description: Student may contact the instructor or department for information.
Instructor: White,Dennis E
Grading basis/credits:
Prereq: 5616 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Marden,Albert
Grading basis/credits:
Prereq: 5616 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Marden,Albert
Grading basis/credits:
Prereq: 8602 or instr consent
Description: Student may contact the instructor or department for information.
Instructor: Polacik,Peter
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Adams,Scot Robert
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Calderer,Carme
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Polacik,Peter
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Adams,Scot Robert
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Mc Gehee,Richard P
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Santosa,Fadil
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Jiang,Dihua
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Wang,Jiaping
Grading basis/credits:
Prereq: instr consent
Description: Student may contact the instructor or department for information.
Instructor: Mori,Yoichiro