# Math 1296

## Mathematics & Statistics Department

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### Math 1296: Calculus I

**Credits:** 5

**Prerequisites:** Math ACT 27 or higher or a grade of at least C- in Math 1250 or department consent; Credit will not be granted if credit has been received for: 1290, 1596

**Grading:** A-F only

**Liberal Education Category:**

Category Satisfied: CATEGORY TWO: Math, Logic and Critical Thinking Liberal Education Goals and Objectives: By the end of the term, the successful student will understand the important role that calculus plays in modeling real-world phenomena and how to apply calculus to problems in his/her discipline. Business, economics, biology, geology, chemistry, physics, engineering and numerous other disciplines make heavy use of calculus. Whenever numerical quantities change with respect to time or with respect to other variables, calculus is probably involved. The incredible success of the physical sciences and engineering in today's world is largely due to "the unreasonable effectiveness of mathematics," and calculus plays a major role in that effectiveness! The biological social and managerial scientists today also make tremendous use of calculus to solve their problems.

**Course Description:**

This course covers the first part of a standard introduction to calculus of functions of a single variable. It includes limits, continuity, derivatives, integrals, and their applications.

**Text: **Calculus, 8E Early Transcendentals, James Stewart, 2016.

**Course Content:**

Chapters |
Sections |

1 Functions and Models |
1.1 Four Ways to Represent a Function* |

2 Limits and Derivatives |
2.1 Tangent and Velocity Problems |

3 Differentiation Rules |
3.1 Derivatives of Polynomials and Exponential Functions |

4 Applications of Differentiation |
4.1 Maximum and Minimum Values |

5 Integrals |
5.1 Areas and Distances |

6 Integrals |
6.1 Area Between Curves |

7 Techniques of Integration |
7.1 Integration by Parts |