Math136_s17_course_outline.pdf - MATH 136 LINEAR ALGEBRA I...

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MATH 136 - LINEAR ALGEBRA I – Spring 2017 Course Objectives: To understand several important concepts in linear algebra, including spanning and linearly independent sets of vectors; systems of linear equations and their solutions; matrices and their properties; linear mappings; vector spaces; subspaces, bases, and dimension of vector spaces; determinants and matrix inverses; eigenvalues, eigenvectors, and diagonalization. To improve your ability to prove mathematical results. Text Book: Linear Algebra Course Notes Version 4.0 by Dan Wolczuk. (Available in the bookstore). Course Home Page: Learn webpage. Schedule: There are precisely 36 50-minute lectures in this term. WeekDates Sections Topics1 May 1 - 5 1.1, 1.2 Vectors in Rn, Span, Linear Independence 2 May 8 - 12 1.3 Subspaces, Bases of Subspaces, 3 May 15 - 19 1.4, 1.5 Cross Product, Projections, dot product 4 * May 23 – 26 2.1, 2.2 Solving Systems of Linear Eqns, Matrix Operations 5 May 29– June 2 3.1 Matrix Operations 6 June 5 - 9 3.2, 3.3 Linear Mappings, Subspaces. , 7 June 12 - 163.4,4.1Operations on mappings, vector space 8 June 19 - 23 4.2, 4.3 Vector Spaces, Subspaces, Bases 9 June 26 - 30 4.3, 5.1, 5.2 Dimension, Coordinates, Change of Coordinates 10 * July 5 - 7 5.2, 5.3 Matrix Inverse, Elementary Matrices, determinants 11 July 10 - 14 5.4, 5.5, 6.1 Determinants, Cofactor, Cramer, similar matrices 12 July 17 - 21 6.2, 6.3 Eigenvalues, Diagonalization, 13 July 246.4 Powers of Matrices *Note: Monday May 22 (civic holiday lecture takes place Tuesday May 23 *Note: July 3rdis a holiday. This week has only two lectures Instructors and classrooms for each section: Section #students Lecture time Class Room Instructor Office number LEC 001 100 01:30-02:20MWF MC 2017 Zhong, Ping MC6451 LEC 002 ~70 08:30-09:20MWF MC 2017 Troscheit, Sascha MC5311 LEC 003 100 10:30-11:20MWF MC 2054 André, Robert MC5421
Final Marks: Assignments 10% Midterm 25% Final Exam 65% NOTE: Missed tests will count as 0 unless suitable medical documentation is provided. There will not be any make-up tests.

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