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MATHalg - 1 Norm and Dot product of Vectors 2 General...

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Lahore University of Management Sciences B.Sc. (Honours) Programme MS Programme Course Outline Course: Linear Algebra (Math 221) Pre-requisite: Calculus II (Math 102) Quarter: Autumn Instructor: Dr. Wasiq Hussain E-mail: [email protected] Text: Elementary Linear Algebra, Applications Version, 8th Edition by Howard Anton and Chris Rorres. Units: 4 Sessions: Two lectures of 75 minutes & one of 50 minutes per week Sections: 1 Teaching Plan:- Topic Read 1st Week 1) Introduction to systems of linear equations. 2) Matrices and Matrix Operations. 3) Rules of Matrix Arithmetic (Transpose and Inverse of Non- Singular Matrices.) Pages: 1 - 7 Pages: 23 – 37 Pages: 37 - 49 2nd Week 1) Inverses of higher order Matrices . 2) Elementary row operations leading to Echelon and Reduced Echelon form for the solution of simultaneous linear equations . Pages: 50 - 58 Pages: 8 - 23 3rd Week 1) Determinants of higher order matrices and their properties. 2) Cofactor Expansion; Cramers’s Rule Pages: 81 – 103 Pages: 104 - 118 4th Week

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Unformatted text preview: 1) Norm and Dot product of Vectors. 2) General Vector Spaces. 3) Subspaces Pages: 126 – 137 Pages: 203 – 210 Pages: 211 - 221 5th Week 1) Linear dependence and Independence . 2) Basis and Dimension . Pages: 221 - 230 Pages: 231 - 245 6th Week 1) Mid-Term 2) Row Spac e, Column Space , and Null Space . 3) Rank and Nullity. Pages: 246 - 259 Pages: 259 - 273 7th Week 1) Inner Product Spaces. 2) Orthonormal Bases; Gram – Schmidt Process. 3) Orthogonal Matrices (an introduction ). Pages: 275 - 297 Pages: 298 - 311 Pages: 320 - 330 8th Week 1) Eigenvalues and Eigenvectors 2) Diagonalization . 3) Orthogonal Diagonalization. Pages: 337 - 346 Pages: 347 - 356 Pages: 357 - 363 9th Week 1) Introduction to Linear Transformations. 2) Kernel and Range. Pages: 365 - 375 Pages: 376 - 382 10th Week Inverse Linear Transformations (an introduction). Pages: 382 - 389 Grading: 40% Final. 30% Midterm. 30% Quizzes....
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MATHalg - 1 Norm and Dot product of Vectors 2 General...

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