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Department:

MATH

Course Number:

1552

Hours - Lecture:

3

Hours - Lab:

0

Hours - Recitation:

2

Hours - Total Credit:

4

Typical Scheduling:

Every Semester

Definite and indefinite integrals, techniques of integration, improper integrals, infinite series, applications.

Course Text:

Thomas, *Calculus: Early Transcendentals, (14th ed.)*

Flow chart describing textbook choices for Fall 2019.

Topic Outline:

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

Review of differentiation and indefinite integration | Ch. 3, 4.8 | 2 |

Riemann Sums and the fundamental theorem of calculus | 5.1-5.4 | 4 |

Integration by substitution, area | 5.5-5.6 | 3 |

Transcendental functions: logarithms, exponentials | 7.1-7.2 | 2 |

Techniques of integration | 8.2-8.5, 8.7 | 7 |

L’Hôpital’s rule, improper integrals | 4.5, 8.8 | 4 |

First-order linear differential equations | 9.2 | 1 |

Infinite sequences and series | 10.1-10.2 | 3 |

Convergence tests, power series | 10.3-10.7 | 6 |

Taylor polynomials and Taylor approximation | 10.8-10.9 | 4 |

Applications: volumes, length, work, center of mass | 6.1-6.6 | 6 |