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MA 262: 5.4 Review- Mechanical Vibrations
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...
- Book & Paket-Deal
- Class notes
- • 2 pages •
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...
MA 262: 5.1 Review- Introduction to 2nd-Order Linear Equations
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...
- Book & Paket-Deal
- Class notes
- • 2 pages •
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...
MA 262: 4.4-4.5 Review- Bases & Dimensions of Vector Spaces, Row & Column Spaces
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...
- Book & Paket-Deal
- Class notes
- • 4 pages •
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...
MA 262: 4.3 Review- Linear Combinations & Independence of Vectors
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.
- Book & Paket-Deal
- Class notes
- • 1 pages •
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.
MA 262: 4.2 Review- The Vector Space R^n & Subspaces
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...
- Book & Paket-Deal
- Class notes
- • 2 pages •
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...
MA 262: 4.1 Review- Vector Spaces
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...
- Book & Paket-Deal
- Class notes
- • 2 pages •
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...
MA 262: 3.6 Review- Determinants
Review of lesson 3.6 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). 
3.6 covers determinants. Specific concepts include cofactor expansion formula/procedure, Cramer's rule (definition and applications), row and column properties, and matrix transposes.
- Book & Paket-Deal
- Class notes
- • 2 pages •
Review of lesson 3.6 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). 
3.6 covers determinants. Specific concepts include cofactor expansion formula/procedure, Cramer's rule (definition and applications), row and column properties, and matrix transposes.
MA 262: 3.5 Review- Inverses of Matrices
Review of lesson 3.5 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). 
3.5 covers inverse matrices, including definitions, significance of invertibility, criteria for invertibility, and the procedure to obtain an inverse matrix.
- Book & Paket-Deal
- Class notes
- • 1 pages •
Review of lesson 3.5 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). 
3.5 covers inverse matrices, including definitions, significance of invertibility, criteria for invertibility, and the procedure to obtain an inverse matrix.
MA 262: 3.1-3.4 Review- Intro to Linear Systems, Matrices & Gaussian Elimination, Reduced-Row Echelon Matrices, & Matrix Operations
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 ...
- Book & Paket-Deal
- Class notes
- • 4 pages •
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 ...
MA 262: 1.6 Review- Substitution Methods & Exact Equations
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...
- Book & Paket-Deal
- Class notes
- • 4 pages •
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...