Browsing Mathematics (18) - Archived by Title
Now showing items 1-20 of 119
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1.138J / 2.062J / 18.376J Wave Propagation, Fall 2004
(2004-12)This course discusses the Linearized theory of wave phenomena in applied mechanics. Examples are chosen from elasticity, acoustics, geophysics, hydrodynamics and other subjects. The topics include: basic concepts, one ... -
12.006J / 18.353J / 2.050J Nonlinear Dynamics I: Chaos, Fall 2006
(2006-12)This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering. -
12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005
(2005-12)Introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. Forced and parametric oscillators. Phase space. Periodic, quasiperiodic, and aperiodic flows. Sensitivity to initial ... -
15.067 Competitive Decision-Making and Negotiation, Spring 2003
(2003-06)This course is centered on twelve negotiation exercises that simulate competitive business situations. Specific topics covered include distributive bargaining (split the pie!), mixed motive bargaining (several issues at ... -
15.082J / 6.855J Network Optimization, Spring 2003
(2003-06)15.082J/6.855J is an H-level graduate subject in the theory and practice of network flows and its extensions. Network flow problems form a subclass of linear programming problems with applications to transportation, ... -
18.01 Single Variable Calculus, Fall 2003
(2003-12)DIFFERENTIATION AND INTEGRATION OF FUNCTIONS OF ONE VARIABLE, WITH APPLICATIONS. CONCEPTS OF FUNCTION, LIMITS, AND CONTINUITY. DIFFERENTIATION RULES, APPLICATION TO GRAPHING, RATES, APPROXIMATIONS, AND EXTREMUM PROBLEMS. ... -
18.013A Calculus with Applications, Fall 2001
(2001-12)Differential calculus in one and several dimensions. Java applets and spreadsheet assignments. Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications. ... -
18.014 Calculus with Theory I, Fall 2002
(2002-12)18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary ... -
18.022 Calculus, Fall 2005
(2005-12)This is an undergraduate course on calculus of several variables. It covers all of the topics covered in Calculus II (18.02), but presents them in greater depth. These topics are vector algebra in 3-space, determinants, ... -
18.024 Calculus with Theory II, Spring 2003
(2003-06)This course is a continuation of 18.014. It covers the same material as 18.02 (Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear ... -
18.03 Differential Equations, Spring 2004
(2004-06)Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. ... -
18.03 Differential Equations, Spring 2006
(2006-06)Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary ... -
18.034 Honors Differential Equations, Spring 2007
(2007-06)Covers the same material as 18.03 with more emphasis on theory. First order equations, separation, initial value problems. Systems, linear equations, independence of solutions, undetermined coefficients. Singular points ... -
18.04 Complex Variables with Applications, Fall 2003
(2003-12)This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, ... -
18.05 Introduction to Probability and Statistics, Spring 2005
(2005-06)This course provides an elementary introduction to probability and statistics with applications. Topics include: basic probability models; combinatorics; random variables; discrete and continuous probability distributions; ... -
18.05 Introduction to Probability and Statistics, Spring 2014
(2014-06)This course provides an elementary introduction to probability and statistics with applications. Topics include: basic combinatorics, random variables, probability distributions, Bayesian inference, hypothesis testing, ... -
18.06 Linear Algebra, Fall 2002
(2002-12)Basic subject on matrix theory and linear algebra, emphasizing topics useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. ... -
18.06 Linear Algebra, Spring 2005
(2005-06)This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and ... -
18.085 Computational Science and Engineering I, Fall 2007
(2007-12)This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential ... -
18.085 Mathematical Methods for Engineers I, Fall 2002
(2002-12)Review of linear algebra, applications to networks, structures, and estimation, Lagrange multipliers, differential equations of equilibrium, Laplace's equation and potential flow, boundary-value problems, minimum principles ...