# CCNY Math 21200-1XA: Calculus II with Introduction to Multivariable Functions, Summer 2020

## Course Links

- Click here to join lectures on Zoom (MTWTh 8:30am-10:10pm EST)
- Click here to join office hours on Zoom (MW 1:30-3:30pm)

## Course Documents

- Course Information Sheet
- Register for Online Textbook and Homework
- Purchasing Options
- Assigned Exercises and Supplementary Exercises
- Course Learning Outcome
- Academic Calendar
- Free online tutoring provided by CCNY Math and Physics Dept
- Free online tutoring provided by CCNY Math Dept

## Lectures

Date | Agenda | Notes | Video |
---|---|---|---|

6/1/2020 | Welcome, 7.1 The Logarithm Defined as an Integral | Notes | Video |

6/2/2020 | 7.1 continued, 7.3 Hyperbolic Functions, 8.1 Using Basic Integration Formulas | Notes | Video |

6/3/2020 | 8.1 Continued | Notes | Video |

6/4/2020 | 8.2 Integration by Parts, 8.3 Trigonometric Integrals | Notes | Video |

6/8/2020 | 8.3 continued. 8.4 Trigonometric Substitution | Notes | Video |

6/9/2020 | Quiz 1 (7.1, 7.3, 8.1-8.2), 8.4 continued, 8.5 Integration of Rational Functions by Partial Fractions | Notes | Video |

6/10/2020 | 8.5 continued | Notes | Video |

6/11/2020 | 8.7 Numerical Integration (omit error estimates), 8.8 Improper Integrals | Notes | Video |

6/15/2020 | 8.8 Continued | Notes | Video |

6/16/2020 | Quiz 2 (8.3-5, 8.7), 10.1 Sequences | Notes | Video |

6/17/2020 | 10.1 continued, 10.2 Infinite Series (omit example 5) | Notes | Video |

6/18/2020 | 10.2 continued, 10.3 The Integral Test | Notes | Video |

6/22/2020 | 10.4 The Comparison Tests | Notes | Video |

6/23/2020 | Quiz 3 (8.8, 10.1-3), 10.5 Absolute Convergence, the Ratio and Root Tests | Notes | Video |

6/24/2020 | 10.6 Alternating Series and Conditional Convergence | Notes | Video |

6/25/2020 | 10.7 Power Series (omit multiplication of series) | Notes | Video |

6/29/2020 | 10.7 continued | Notes | Video |

6/30/2020 | Midterm Exam (7.1, 7.3, 8.1-5, 8.7-8, 10.1-6) | ||

7/1/2020 | 10.8 Taylor and Maclaurin Series, 10.9 Convergence of Taylor Series (omit theorem 24) | Notes | Video |

7/2/2020 | 10.9 continued, 10.10 Applications of Taylor Series (evaluating non-elementary integrals only), 11.1 Parametrizations of Plane Curves | Notes | Video |

7/6/2020 | 11.1 continued, 11.3 Polar Coordinates | Notes | Video |

7/7/2020 | Quiz 4 (10.7-10), 11.3 continued, 12.1 Three-Dimensional Coordinate Systems | Notes | Video |

7/8/2020 | 12.1 continued, 12.2 Vectors (omit applications) | Notes | Video |

7/9/2020 | 12.2 continued, 12.3 The Dot Product (omit work) | Notes | Video |

7/13/2020 | 12.4 The cross product | Notes | Video |

7/14/2020 | Quiz 5 (11.1, 11.3, 12.1-4), 12.5 Lines and Planes in Space | Notes | Video |

7/15/2020 | 12.5 continued, 12.6 Cylinders and Quadric Surfaces | Notes | Video |

7/16/2020 | 12.6 continued, 14.1 Functions of Several Variables | Notes | Video |

7/20/2020 | 14.2 Limits and Continuity in Higher Dimensions (omit computing epsilon and delta), 14.3 Partial Derivatives | Notes | Video |

7/21/2020 | Optional Review | Notes | Video |

7/22/2020 | Optional Review | Notes | Video |

7/23/2020 | Final Exam (cumulative), 5-7:15pm EST. At this time, the exam will appear in the CONTENT section of our class BLACKBOARD page. |

Pracrice final exam Draft A -- Note: Questions 3 and 10 are both on topics that have been removed from the syllabus since this exam was created. | Solutions |

Pracrice final exam Draft B -- Note: Questions 7b and 10 are both on topics that have been removed from the syllabus since this exam was created. | Solutions |