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