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Basic Algebra with Applications - 5th Edition
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Chapter 1. Concepts
Chapter 2. Linear Equations
Chapter 3. Graphing
Chapter 4. Linear Systems
Chapter 5. Polynomial Equations
Chapter 6. Factoring Polynomials
Chapter 7. Rational Expressions
Chapter 8. Radicals
Chapter 9. Quadratic Equations

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Ivan G. Zaigralin
Date Added:
01/01/2020
En avant les espaces vectoriels : une introduction à l’algèbre linéaire (première édition)
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Conçu pour un cours de première année universitaire, ce manuel en algèbre linéaire adopte une approche peu commune : il présente les espaces vectoriels dès le début et traite des systèmes linéaires qu’après une introduction approfondie aux espaces vectoriels. Cette approche est fondée sur l’expérience des auteurs ayant observé au cours des 25 dernières années que les étudiantes et étudiants ont souvent besoin davantage de temps pour maîtriser les espaces vectoriels alors que les manuels traditionnels relèguent plutôt le sujet à la fin du cours. De cette façon, ces nouvelles notions au coeur de l’algèbre linéaire qui sont souvent considérées comme abstraites et difficiles dans un cours d’introduction peuvent ensuite être utilisées dans le reste du cours ainsi que différents contextes.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Ottowa
Author:
Abdelkrim El basraoui
Barry Jessup
Monica Nevins
Thierry Giordano
Date Added:
08/25/2022
Feedback Control Systems
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This course will teach fundamentals of control design and analysis using state-space methods. This includes both the practical and theoretical aspects of the topic. By the end of the course, you should be able to design controllers using state-space methods and evaluate whether these controllers are robust to some types of modeling errors and nonlinearities. You will learn to:

Design controllers using state-space methods and analyze using classical tools.
Understand impact of implementation issues (nonlinearity, delay).
Indicate the robustness of your control design.
Linearize a nonlinear system, and analyze stability.

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Frazzoli, Emilio
How, Jonathan
Date Added:
09/01/2010
Introduction to Computational Neuroscience
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This course gives a mathematical introduction to neural coding and dynamics. Topics include convolution, correlation, linear systems, game theory, signal detection theory, probability theory, information theory, and reinforcement learning. Applications to neural coding, focusing on the visual system are covered, as well as Hodgkin-Huxley and other related models of neural excitability, stochastic models of ion channels, cable theory, and models of synaptic transmission.
Visit the Seung Lab Web site.

Subject:
Applied Science
Biology
Engineering
Life Science
Physical Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Seung, Sebastian
Date Added:
02/01/2004
Introduction to Numerical Methods
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This course offers an advanced introduction to numerical analysis, with a focus on accuracy and efficiency of numerical algorithms. Topics include sparse-matrix/iterative and dense-matrix algorithms in numerical linear algebra (for linear systems and eigenproblems), floating-point arithmetic, backwards error analysis, conditioning, and stability. Other computational topics (e.g., numerical integration or nonlinear optimization) are also surveyed.

Subject:
Algebra
Applied Science
Computer Science
Engineering
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Johnson, Steven
Date Added:
02/01/2019
Numerical Methods Applied to Chemical Engineering
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This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems are presented. Probability theory and its use in physical modeling is covered, as is the statistical analysis of data and parameter estimation. The finite difference and finite element techniques are presented for converting the partial differential equations obtained from transport phenomena to DAE systems. The use of these techniques will be demonstrated throughout the course in the MATLAB® computing environment.

Subject:
Applied Science
Chemistry
Computer Science
Engineering
Mathematics
Physical Science
Statistics and Probability
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Beers, Kenneth
Date Added:
09/01/2005
Systems and Controls
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This course provides an introduction to linear systems, transfer functions, and Laplace transforms. It covers stability and feedback, and provides basic design tools for specifications of transient response. It also briefly covers frequency-domain techniques.

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Barbastathis, George
Date Added:
02/01/2013
Topics in Algebraic Geometry: Algebraic Surfaces
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The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Kumar, Abhinav
Date Added:
02/01/2008
Vector Spaces First: An Introduction to Linear Algebra (4th Edition)
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Created for a first-year university course, this linear algebra textbook takes an unusual approach: it introduces vector spaces at the outset and deals with linear systems only after a thorough introduction to vector spaces. This approach is based on the authors' experience over the past 25 years that students often need more time to master vector spaces while traditional textbooks relegate the topic to the end of the course. In this way, these new notions at the heart of linear algebra that are often considered abstract and difficult in an introductory course can then be used in the rest of the course as well as in different contexts.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Ottowa
Author:
Barry Jessup
Monica Nevins
Thierry Giordano
Date Added:
08/25/2022