MATH 136 Course Outline.pdf - MATH 136 LINEAR ALGEBRA 1...

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MATH 136LINEAR ALGEBRA 1WINTER 2018Course Objectives:To understand several important concepts, methods, and techniques in linear algebra.To use the definitions, theorems, methods, and techniques from memory to construct solutionsto problems and/or proofs.To improve your ability to read and write mathematical proofs.To improve your ability to communicate mathematics.Course ScheduleWeekDatesSectionsTopics1Jan 3 - 51.1, 1.2Vectors inRn, Spanning2Jan 8 - 121.2, 1.3Linear Independence, Bases, Subspaces3Jan 15 - 191.4, 1.5Bases of Subspaces, Dot Product, Cross Product, Projections4Jan 22 - 262.1, 2.2Systems of Linear Equations5Jan 29 - Feb 23.1Matrix Operations6Feb 5 - 93.2, 3.3Linear Mappings, Special Subspaces7Feb 12 - 163.4, 4.1Operations on Mappings, Vector Spaces8Feb 19 - 23READING WEEK9Feb 26 - Mar 24.2, 4.3Dimension, Coordinates10Mar 5 - 94.3, 5.1, 5.2Change of Coordinates, Matrix Inverse, Elementary Matrices11Mar 12 - 165.2, 5.3Matrix Decomposition, Determinants12Mar 19 - 235.4, 5.5, 6.1Cofactor Method, Cramer’s Rule, Area and Volume, Similar Matrices13Mar 26 - 286.2, 6.3Eigenvalues, Diagonalization14Apr 2 - 46.3, 6.4Diagonalization. Powers of MatricesText Book:Linear Algebra Course Notes Version 4.0 by Dan Wolczuk. Available in the bookstore.Grades:Final Exam: 70%; Midterm: 25%; Assignments 5%Tests:Midterm: Monday, Feb 5th, 7:00 - 8:50 pmFinal Exam : TBANOTE: Missed tests or assignments will count as 0 unless suitable documentation is provided.

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