Department:

MATH
Course Number:

1502
Hours - Lecture:

3
Hours - Lab:

0
Hours - Recitation:

2
Hours - Total Credit:

4
Typical Scheduling:

Not offered after Spring 2016 Description:

See MATH 1552, 1553, 1554, 1564.
Concludes the treatment of single variable calculus, and begins linear algebra; the linear basis of the multivariable theory. The first 1/3 of this course covers more advanced single variable calculus. The remaining 2/3 is an introduction to linear algebra, the theory of linear equations in several variables.

Prerequisites:

Course Text:

Thomas' *Calculus (Early Transcendentals)*, (13th Edition) Pearson; * Linear Algebra and its Applications* by David Lay, (5th Edition), Pearson, Inc. 2012 [referred to as Lay in the table below].

Flow chart describing textbook choices for fall 2015.

Topic Outline:

Topic | Text Sections | Lectures |
---|---|---|

Numerical Integration | 8.7 | 1 |

ODE's | 7.2, 9.2 | 2 |

L'Hospital's Rule | 4.5 | 2 |

Improper Integrals | 8.8 | 1 |

Infinite Series | 10.1-10.6 | 5 |

Taylor Polynomials, Taylor Series, Power Series | 10.7-10.9 | 4 |

Solving Systems of Linear Equations | 1.1-1.2 in Lay | 3 |

Vectors, Geometry of R^n, and Solution Sets | 1.3-1.5 in Lay | 4 |

Linear Independence and Linear Transformations | 1.7-1.9 in Lay | 2 |

Matrix Operation and Matrix Inverses | 2.1-2.3 in Lay | 2 |

LU Factorization | 2.5 in Lay | 2 |

Subspaces, Bases, Dimension, Rank | 2.8-2.9 in Lay | 2 |

Determinants | 3.1-3.2 in Lay | 2 |

Vector Spaces | 4.3 in Lay | 1 |

Eigenvalues and Eigenvectors | 5.1-5.3 in Lay | 3 |

Diagonalization and Symmetric Matrices | 7.1-7.2 in Lay | 2 |

Inner Products and Orthogonality | 6.1-6.3 in Lay | 3 |

Gram Schmidt and QR | 6.3-6.4 in Lay | 3 |

Least Squares | 6.5 in Lay | 1 |

45 |