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4434Beginning Algebra Module 1: First Degree Equations and Inequalities with One Variable
http://www.merlot.org/merlot/viewMaterial.htm?id=893610
This eCourse (module) is designed to stand alone as an instructional tool to cover the topic of First-Degree Equations and Inequalities in Beginning Algebra. Learners would benefit by reviewing modules in sequence.Pre-Algebra Module 1: Whole Numbers
http://www.merlot.org/merlot/viewMaterial.htm?id=892016
Precollege Math module on Whole numbers. 5 sections.Learning Objective: Student will use properties of whole numbers to perform basic math operations in order to solve simple equations.Prealgebra Module 2: Integers
http://www.merlot.org/merlot/viewMaterial.htm?id=892073
An open access, self-paced Prealgebra Module on Integers with a pretest, 4 sections, and a posttest.PreAlgebra Module 2: IntegersLO: Student will use properties of integers to solve simple equations and application problems• PA Module 2 Section 1: Integers and the Number LineStudent will compare integer values using properties of inequalities, opposites, and absolute values.• PA Module 2 Section 2: Operations with IntegersStudent will apply the rules of addition, subtraction, multiplication and division to simplify expressions involving positive and negative integers.• PA Module 2 Section 3: Order of Operations with IntegersStudent will use the properties and methods for the order of operations when evaluating and simplifying mathematical expressions.• PA Module 2 Section 4: Solving Linear One Variable EquationsStudent will use properties and methods to solve linear equations with one variable.18.330 Introduction to Numerical Analysis (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=883831
This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods in linear algebra.15.070J Advanced Stochastic Processes (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884047
This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems, elements of large deviations theory, Brownian motion and reflected Brownian motion, stochastic integration and Ito calculus and functional limit theorems. In addition, the class will go over some applications to finance theory, insurance, queueing and inventory models.18.440 Probability and Random Variables (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884379
This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.6.262 Discrete Stochastic Processes (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884733
Discrete stochastic processes are essentially probabilistic systems that evolve in time via random changes occurring at discrete fixed or random intervals. This course aims to help students acquire both the mathematical principles and the intuition necessary to create, analyze, and understand insightful models for a broad range of these processes. The range of areas for which discrete stochastic-process models are useful is constantly expanding, and includes many applications in engineering, physics, biology, operations research and finance.18.782 Introduction to Arithmetic Geometry (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884035
This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry.18.783 Elliptic Curves (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=884049
This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.18.353J Nonlinear Dynamics I: Chaos (MIT)
http://www.merlot.org/merlot/viewMaterial.htm?id=883911
This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in engineering and science.