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MA 262: 5.4 Review- Mechanical Vibrations

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Review of lesson 5.4 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 5.4 covers the application of differential equations (DEs) to describe mechanical vibrations, including mass-spring-dashpot systems, masses on springs, simple pendulums, free damped motion, free undamped motion, and overdamped and underdamped cases. Derivation of ap...

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  • Class notes
  •  • 2 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 5.1 Review- Introduction to 2nd-Order Linear Equations

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Review of lesson 5.1 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 5.1 introduces the concept of 2nd-order linear differential equations, including definitions, general form, homogeneous equations vs. nonhomogeneous equations, the principle of superposition for homogeneous equations, existence and uniqueness of solutions, the Wronsk...

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  • Class notes
  •  • 2 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 4.4-4.5 Review- Bases & Dimensions of Vector Spaces, Row & Column Spaces

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Review of lesson 4.4-4.5 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 4.4 covers bases and dimensions of vector spaces, including the definition(s) of a basis of a vector space, the standard basis of R^n, finite vs. infinite dimensionals, and relationships between bases, span, linear independence, and number of vectors in a set. De...

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  • Class notes
  •  • 4 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 4.3 Review- Linear Combinations & Independence of Vectors

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Review of lesson 4.3 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 4.3 covers criteria for linear independence/dependence and procedure to express a given vector as a linear combination of vectors. Reviews concepts of span, relationship between span and linear combinations, and the Rank-Nullity theorem.

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  • Class notes
  •  • 1 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 4.2 Review- The Vector Space R^n & Subspaces

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Review of lesson 4.2 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 4.2 covers vector spaces and subspaces in further detail (from 4.1) with multiple example cases for more complex evaluations (drawn from previous exams). Includes definition of vector spaces/subspaces, distinction between trivial and proper subspaces, procedure to ex...

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  • Class notes
  •  • 2 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 4.1 Review- Vector Spaces

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Review of lesson 4.1 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 4.1 defines vector spaces and various pertinent concepts to evaluate their existence. These include the definition and meaning of linear independence/dependence, linear combinations, span, null space, and requirements to be a vector space (closure under vector multipl...

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  • Class notes
  •  • 2 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 3.1-3.4 Review- Intro to Linear Systems, Matrices & Gaussian Elimination, Reduced-Row Echelon Matrices, & Matrix Operations

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Review of lessons 3.1, 3.2, 3.3, and 3.4 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 3.1 introduces linear systems by defining requirements and possible solution outcomes. 3.2 covers matrices and Gaussian elimination, specifically reviewing the details of matrix construction, types of matrices (i.e. coefficient matrix, augmented ...

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  • Class notes
  •  • 4 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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MA 262: 1.6 Review- Substitution Methods & Exact Equations

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Review of lesson 1.6 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 1.6 covers substitutions methods to solve differential equations (DEs) + methods to solve exact equations. Notable subtopics include: v-substitution, Bernoulli equations, exact equations, and second-order reducible differential equations. Derivation of v-substitutio...

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  •  Book & Paket-Deal
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  •  • 4 pages • 
  • by savannahrosehoar • 
  • uploaded  26-06-2024
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