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Course Criteria
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4.00 Credits
Equips students with working knowledge of several major subject areas within the context of business and society studies. Topics include: role of management in organizations, corporate social responsibility and responsiveness, ethics and values in business, government regulation, and international business. 6 Introduction to Business (4). Introduction to the study of modern business enterprise, including a broad exposure to areas of study, vocabulary, and careers. Exposure to faculty from the area of Marketing, IS, Economics, Accounting, Finance, Operations and Decision Technologies, and Organization and Strategy. 7 Statistics for Business Decision Making (4). Basics of data analysis and the fundamental notion of statistical inference emphasizing applications to administrative and management decision problems. Classical estimation and hypotheses testing, regression, correlation, analysis of variance, nonparametric methods and statistical probability. Only one course from Management 7, Biological Sciences 7, or Mathematics 7/Statistics 7 may be taken for credit. No credit for Management 7 if taken after Mathematics 67. No credit for Management 7 if taken after Economics 15A-B. Management 7 may not be used to substitute for Economics 15A-B. ( V)
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4.00 Credits
Lecture, three hours. Introduction to the theory and practice of numerical computation. 105A: Floating point arithmetic, roundoff; solving transcendental equations; quadrature; linear systems, eigenvalues, power method. Corequisite: Mathematics 105LA if offered. Prerequisites: Mathematics 2A-B-J; some acquaintance with computer programming. Mathematics 105A and Engineering MAE185 may not both be taken for credit. 105B: Lagrange interpolation, finite differences, splines, Padé approximations; Gaussian quadrature; Fourier series and transforms. Corequisite: Mathematics 105LB if offered. Prerequisite: Mathematics 105A.
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1.00 Credits
Laboratory, two hours. Provides practical experience to complement the theory developed in Mathematics 105A-B. Corequisite: concurrent enrollment in Mathematics 105A-B.
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4.00 Credits
Lecture, three hours. Theory and applications of numerical methods to initial and boundary-value problems for ordinary and partial differential equations. Corequisite: concurrent enrollment in Mathematics 107L if offered. Prerequisites: Mathematics 3D and 105A-B.
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1.00 Credits
Laboratory, two hours. Provides practical experience to complement the theory developed in Mathematics 107. Corequisite: concurrent enrollment in Mathematics 107.
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3.00 Credits
Lecture, three hours. Introduction to ordinary and partial differential equations and their applications in engineering and science. Basic methods for classical PDEs (potential, heat, and wave equations). 112A: Classification of PDEs, separation of variables and series expansions, special functions, eigenvalue problems. 112B: Green functions and integral representations, method of characteristics. 112C: Galerkin method and other discretization techniques. Prerequisites for 112A: Mathematics 2D, 3D; for 112B: 2E and 112A.
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4.00 Credits
Lecture, three hours. Introduction to complex functions and their applications to engineering and science. 114A: Complex numbers, elementary functions; analytic functions; complex integration; power series; residue theory; conformal maps; applications. 114B: Applications to potential theory, flows; heat; Laplace transforms; asymptotic expansions. Prerequisites: for 114A: Mathematics 2D, 2J. Mathematics 2E and 3D recommended. For 114B: Mathematics 114A. Mathematics 114A may not be taken for credit after Mathematics 147. Mathematics 147 and 114B may not both be taken for credit. Mathematics 114B not offered every year.
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4.00 Credits
Lecture, three hours. Mathematical modeling and analysis of phenomena that arise in engineering physical sciences, biology, economics, or social sciences. Corequisite or prerequisite: Mathematics 112A or Engineering MAE140. Prerequisites: Mathematics 2D; 3A or 6G; 3D.
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3.00 Credits
Lecture, three hours; discussion, one hour. Introductory theoretical course in ordinary and/ or partial differential equations. Existence and uniqueness of solutions, methods of solution, the geometry of solutions. Students are expected to follow and understand proofs. Prerequisites: Mathematics 3A, 3D; 140A-B or consent of instructor.
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4.00 Credits
Lecture, three hours; discussion, two hours. Axioms for group theory; permutation groups, matrix groups. Isomorphisms, homomorphisms, quotient groups. Advanced topics as time permits. Special emphasis on doing proofs. Prerequisite: Mathematics 3A or 6G; Mathematics 13 is strongly recommended.
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