# Math 165: Calculus for Business

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### Course Prerequisite(s)

One of:

- Grade of C or better in MATH 110 (College Algebra)
- Appropriate performance on the math placement test

### Course Description

Math 165 is a calculus course intended for those studying business, economics, or other related business majors. The following topics are presented with applications in the business world: functions, graphs, limits, exponential and logarithmic functions, differentiation, integration, techniques and applications of integration, partial derivatives, optimization, and the calculus of several variables. Each textbook section has an accompanying homework set to help the student better understand the material.

### Credit Awarded

5 hours (some exceptions noted below)

Prior credit for MATH 170 or MATH 180 will be lost with subsequent completion of MATH 165.

### Course Materials

#### Textbook

None required

#### Gradarius

Gradarius is an online-learning tool for calculus. A “Complete” account is required for this course. It can be purchased by following the link provided in the blackboard page for this course.

Module | Topics |
---|---|

1 | Limits, Continuity |

2 | Rates of Change, The Derivative |

3 | Derivative Rules, Product/Quotient Rules, Chain Rule |

4 | Logarithms and Exponentials, Implicit Differentiation, Marginal Analysis |

5 | Maxima/Minima, Applications of Maxima/Minima, Elasticity |

6 | Higher Order Derivatives, Graphs, Related Rates |

7 | Indefinite Integral, Method of Substitution |

8 | Definite Integral, Fundamental Theorem |

9 | Integration by Parts, Area Between Curves, Averages |

10 | Consumer/Producer’s Surplus, Income Streams, Improper Integrals |

11 | Multi-Variable Functions, Partial Derivatives |

12 | Maxima/Minima/Saddle Points, LaGrange Multipliers |