# Syllabus Math 125

## Math 125. Elementary Linear Algebra

Text: Brown, Sherbert, Adawi, and Royer, Linear Algebra with Business Applications, McGraw-Hill, Inc., Third Edition, 2001.
Note: Supplementary exercises for each chapter are located on pages 422-439.

 Chapter Class hours Chapter 1: Linear Systems in the Plane 1.1-1.2 (omit) 1.3 Linear Inequalities in the Plane (1 hr) 1.4 Linear Programming in R2 (1 hr) 1.5 Applications of Linear Programming (2 hrs) 4 Chapter 2: Linear Systems in Higher Dimensions 2.1 Gaussian Elimination (2 hr) 2.2 Reduced Echelon form (1 hr) 2.3 Consistency and Row Rank (2 hrs) 2.4 Geometry of R3 (2 hrs) 2.5 Gauss-Jordan Elimination (1 hr) 2.6 Simplex Algorithm (2 hrs) 2.7 Simplex Algorithm: Additional Considerations (cover p. 126-129) (2 hr) 12 Chapter 3: Matrices and Determinants 3.1 Matrix Algebra (1 hr) 3.2 The Inverse of a Matrix (2 hrs) 3.3 Loentief Model (2 hr) 3.4 Determinants (2 hrs) 3.5 Applications of Determinants (1 hr) 3.6 Markov Analysis (2 hrs) 10 Chapter 4: Vector Spaces 4.1 Vectors (1 hr) 4.2 Linear Combinations (2 hr) 4.3 Spans of Vectors (2 hrs) 4.4 Linear Independence (2 hr) 4.5 Bases (2 hrs) 4.6 Dimension and Rank (1 hr) 4.7 (omit) 10 Chapter 5: Orthogonality 5.1 Scalar Products and Orthogonality (1 hr) 5.2 Orthonormal Vectors and Projections (2 hr) 5.3 Least Squares Approximation (1 hr) 5.4 (omit) 4 Leeway and Examinations 4 Total 44