Graphing and Writing Linear Functions SOLVING EQUATIONS INVOLVING RATIONAL EXPONENTS Linear Equations and Graphing Systems of Linear Equations Solving Polynomial Equations Matrix Equations and Solving Systems of Linear Equations Introduction Part II and Solving Equations Linear Algebra Graphing Linear Inequalities Using Augmented Matrices to Solve Systems of Linear Equations Solving Linear Inequalities Solution of the Equations Linear Equations Annotated Bibliography of Linear Algebra Books Write Linear Equations in Standard Form Graphing Linear Inequalities Introduction to Linear Algebra for Engineers Solving Quadratic Equations THE HISTORY OF SOLVING QUADRATIC EQUATIONS Systems of Linear Equations Review for First Order Differential Equations Systems of Nonlinear Equations & their solutions LINEAR LEAST SQUARES FIT MAPPING METHOD FOR INFORMATION RETRIEVAL FROM NATURAL LANGUAGE TEXTS Quadratic Equations Syllabus for Differential Equations and Linear Alg Linear Equations and Matrices Solving Linear Equations Slope-intercept form of the equation Linear Equations DETAILED SOLUTIONS AND CONCEPTS QUADRATIC EQUATIONS Linear Equation Problems Systems of Differential Equations Linear Algebra Syllabus Quadratic Equations and Problem Solving LinearEquations The Slope-Intercept Form of the Equation Final Exam for Matrices and Linear Equations Linear Equations |
Linear Algebra SyllabusCourse Description: Linear algebra is a fundamental branch of
mathematics dealing with the Text Book: Elementary Linear Algebra, 9th Edition, 2005, by Anton and Rorres Prerequisite: Calculus III, Math 335. Office Hours: 10am MTWF, 2pm MTW. Other times by appointment. My
schedule and office Practice Problems: Once material has been covered in class it is
expected that you will work Homework: Regular assignments and their due date will be announced in
class. These assignments Exams: Exams will be held in class on Monday February 2nd, Monday
March 2nd, and Monday Attendance: Students are expected to be present at every class.
Success in this course requires Grading: Grades will be based on 3 one-hour exams (a total of 300
points), homework assignments
Makeup Exams: Departmental policy dictates that make-up exams are to be given under extenuating circumstances only. No make-up quizzes will be given. Course Outline and Tentative Schedule
|
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Week | Date | Section | Topic |
| 1 | Jan 12 | §1.1 | Systems of Linear Equations |
| §1.2 | Gaussian Elimination | ||
| §1.3 | Matrices and Matrix Operations | ||
| 2 | Jan 19 | §1.4 | Inverses; Matrix Arithmetic |
| §1.5 | Elementary Matrices and the Inverse | ||
| 3 | Jan 26 | §1.6 | Systems of Equations and Invertibility |
| §1.7 | Diagonal, Triangular, Symmetric Matrices | ||
| 4 | Feb 2 | §2.1 | Determinants by Cofactor Expansion |
| §2.2 | Determinants by Row Reduction | ||
| 5 | Feb 9 | §2.3 | The Determinant Function |
| §2.4 | Combinatorial Approach to Determinants | ||
| 6 | Feb 16 | Ch 3 | Vectors in 2-Space and 3-Space |
| §4.1 | Euclidean n-Space | ||
| 7 | Feb 23 | §4.2 | Linear Transformations from Rn to Rm |
| §4.3 | Properties of Linear Transformations | ||
| 8 | Mar 2 | §4.4 | Linear Transformations and Polynomials |
| Mar 9 | - | Spring Break | |
| 9 | Mar 16 | §5.1 | Real Vector Spaces |
| §5.2 | Subspaces | ||
| 10 | Mar 23 | §5.3 | Linear Independence |
| §5.4 | Basis and Dimension | ||
| 11 | Mar 30 | §5.5 | Row Space, Column Space and Nullspace |
| §5.6 | Rank and Nullity | ||
| 12 | Apr 6 | §6.1 | Inner Product Spaces |
| §6.2 | Angles and Orthogonality in Inner Product Spaces | ||
| 13 | Apr 13 | §6.3 | Orthogonal Bases; Gram-Schmidt Process |
| §7.1 | Eigenvalues and Eigenvectors | ||
| 14 | Apr 20 | §7.2 | Diagonalization |
| §8.1 | General Linear Transformations | ||
| 15 | Apr 27 | §8.2 | Kernel and Range |
| - | Review | ||
| May 4 | Final Exam: Monday May 4th, 9-11am. |
Sections may be skipped or other sections added as time allows.