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Department:

MATH

Course Number:

1550

Hours - Lecture:

3

Hours - Lab:

0

Hours - Recitation:

0

Hours - Total Credit:

3

Typical Scheduling:

Every Summer

An introduction to differential calculus including the theory of limits for functions and sequences (only for Summer Freshmen).

Prerequisites:

SAT Math score of 600 **or** Math SAT Section Score (new SAT) of 620 **or** ACT 26 **or** ACT equivalent 600 **or** MATH 1113 Precalculus.

Course Text:

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

Topic Outline:

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

Real numbers, absolute value, lines, circles, parabolas | A.1, A.3 | 1 |

Functions, transcendental functions, inverses, and graphs | 1.1-1.3, 1.5-1.6 | 3 |

Limits and continuity, asymptotes | 2.1-2.6 | 3 |

Differentiation: computations, related rates, differentials | 3.1-3.11 | 5.5 |

Max/min problems, mean value theorem, curve sketching | 4.1-4.4 | 2 |

Optimization, Newton’s method | 4.6, 4.7 | 1.5 |

Indefinite integrals | 4.8 | 1 |

Fundamental theorem of calculus | 5.4 | 1 |