# Math 1297

## Mathematics & Statistics Department

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### Math 1297: Calculus II

**Credits:** 5

**Prerequisites:** 1290, 1296 or 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 second part of a standard introduction to calculus. It in includes discussion of parametric equations and polar coordinates, applications of integrals, series, and partial derivatives.

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

**Course Content:**

Chapter |
Section |

7 Integration Techniques |
7.1 Integration by Parts (review only) 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.6 Integration Using Tables 7.7 Approximate Integration 7.8 Improper Integrals |

8 Applications of Integration |
8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications to Physics and Engineering 8.4 Applications to Economics and Biology** |

10 Parametric Equations |
10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 10.5 Conic Sections 10.6 Conic Sections in Polar Coordinates |

11 Sequences and Series |
11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 Comparison Tests 11.9 Representations of Functions as Power Series |

14 Partial Derivatives |
14.1 Functions of Several Variables 14.2 Limits and Continuity |

** Included as time permits