Topics include geometry and algebra of vectors and matrices, unit vectors, dot and cross products, elementary concepts of a matrix, row operations, solutions of a system of linear equations; Systems of linear equations and matrices, vector spaces and subspaces, linear dependence and independence, dimensions and bases, linear transformations and matrices, eigenvalues and eigenvectors, changes of coordinates, orthogonality, diagonalization.

Course Type | Major |
---|---|

Credit Hour | 3 |

Lecture Hour | 45 |

- Solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
- Carry out matrix operations, including inverses and determinants.
- Demonstrate understanding of the concepts of vector space and subspace.
- Demonstrate understanding of linear independence, span, and basis.
- Determine eigenvalues and eigenvectors and solve eigenvalue problems.
- Apply principles of matrix algebra to linear transformations.
- Demonstrate understanding of inner products and associated norms.

*Elementary Linear Algebra*by Howard Anton*Linear Algebra and Its Applications (4th Edition)*by David C. Lay

Biweekly Quiz, One Midterm Exam, One Final Exam, Project

Letter Grade | Marks | Grade Point |
---|---|---|

A | 90 - 100 | 4.00 |

A- | 85 - 89 | 3.70 |

B+ | 80 - 84 | 3.30 |

B | 75 - 79 | 3.00 |

B- | 70 - 74 | 2.70 |

C+ | 65 - 69 | 2.30 |

C | 60 - 64 | 2.00 |

C- | 55 - 59 | 1.70 |

D+ | 50 - 54 | 1.30 |

D | 45 - 49 | 1.00 |

F | 00 - 44 | 0.00 |