Math 125. Elementary Linear Algebra
Syllabus for Instructors

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.

CHAPTERCLASS 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 (1 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) (1 hr)
    		• 10
  • Chapter 3: Matrices and Determinants
    • 3.1 Matrix Algebra (1 hr)
    • 3.2 The Inverse of a Matrix (2 hrs)
    • 3.3 Loentief Model (1 hr)
    • 3.4 Determinants (2 hrs)
    • 3.5 Applications of Determinants (1 hr)
    • 3.6 Markov Analysis (2 hrs)
    		• 9
  • Chapter 4: Vector Spaces
    • 4.1 Vectors (1 hr)
    • 4.2 Linear Combinations (1 hr)
    • 4.3 Spans of Vectors (2 hrs)
    • 4.4 Linear Independence (1 hr)
    • 4.5 Bases (2 hrs)
    • 4.6 Dimension and Rank (1 hr)
    • 4.7 (omit)
    		• 8
  • Chapter 5: Orthogonality (If time permits, discuss section 1.5)
    		• 2
  • Chapter 6: Eigenvalues and Eigenvectors
    • 6.1 Eigenvalues and Eigenvectors (2 hrs)
    • 6.2 Diagonalization of Matrices (omit the symmetric case) (1 hr)
    • 6.3 (cover calculating powers)
    		• 5
  • Chapter 7: Linear Transformations (optional)
       Sections 7.1 and 7.2 - only if time is available
    		•  
  • Leeway and Examinations
    		• 6
  • Total
    		• 44

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    Last modified 5/22/02