**
Math 152 Syllabus and General Information **
**
****Fall **
**2017**

**Lecturer : Dr. Vladimir Shtelen**- Office and Office Hours: Hill Center 203, Mondays &Thursdays 10:10 -11;10am
- e-mail address: shtelen@math.rutgers.edu
- web site: http://www.math.rutgers.edu/~shtelen
- Departmental web page for Math 152
- Textbook: Jon Rogawski, Calculus (Early Transcendentals), W. H. Freeman and Co, 3rd ed.,2015
**Grading**: Midterm exams- 40%, Final exam - 40%, Quizzes - 10%, Workshops & Homework - 10%

Lecture | Date | Sections | Topics | Suggested Textbook Exercises |
---|---|---|---|---|

1 | 09/05 | 5.7 and 6.1 | Substitution method and areas between two curves | 5.7: 15, 19, 22, 23, 25, 27, 28, 31, 33, 35, 41, 42, 47, 50, 53, 54,
57, 58, 67, 68 6.1: 4, 9, 12, 17, 18, 21, 23, 25 |

2 | 09/08 | 6.2 | Setting up integrals, volume, density, average value | 6.2: 4, 5, 6, 7, 9, 10, 11, 15, 25, 26, 40, 42, 44, 46, 48 |

3 | 09/12 | 6.3 | Volumes of revolution | 6.3: 7, 10, 12, 17, 19, 22, 30, 31, 32 |

4 | 09/15 | 6.4 | The method of cylindrical shells | 6.4: 8, 10, 17, 20, 25, 29, 33, 37, 38 |

5 | 09/19 | 7.1 | Integration by parts | 7.1: 6, 10, 14, 22, 23, 26, 37, 50, 55, 56, 58, 60, 63, 76 |

6 | 09/22 | 7.2 | Trigonometric integrals | 7.2: 1, 2, 13, 16, 18, 20, 34, 37, 40, 49, 55, 62, 67, 71, 72, 75 |

7 | 09/26 | 7.3 | Trigonometric substitution | 7.3: 5, 6, 9, 10, 15, 16, 17, 22, 26, 29, 34, 35, 40, 43 |

8 | 09/29 | 7.4 | Integrals involving hyperbolic and inverse hyperbolic functions | 7.4: 11, 12, 24, 25, 31, 32, 35 |

9 | 10/03 | 7.5 | The method of partial fractions | 7.5: 4, 8, 12, 14, 17, 20, 33, 34, 41 |

10 | 10/06 | 7.6 | Strategies for integration | 7.6: 12, 13, 19, 20, 23, 28, 29, 32, 35, 38, 40, 43, 48, 54, 57 |

11 | 10/10 | 7.7 | Improper integralsReview for the Exam |
7.7: 8, 11, 12, 16, 23, 29, 35, 36, 37, 41, 44, 53, 54, 57, 59, 67, 68, 71, 73 |

12 | 10/13 | Exam 1 In classroom where lectures are given | ||

13 | 10/17 | 7.9 | Numerical integration | 7.9: 5, 10, 16, 18, 39, 40, 41, 42, 44, 47, 53 |

14 | 10/20 | 8.1 | Arc length and surface area | 8.1: 3, 4, 7, 9, 10, 17, 27, 29, 36, 38, 40, 42 |

15 | 10/24 | 10.1 | Sequences | 10.1: 14, 18, 23, 26, 27, 30, 43, 44, 52, 53 |

16 | 10/27 | 10.2 | Summing an infinite series | 10.2: 4, 6, 8, 11, 12, 14, 17, 20, 21, 24, 26, 27, 30, 31, 38, 40 |

17 | 10/31 | 10.3 | Convergence of series with positive terms | 10.3: 4, 5, 9, 10, 11, 17, 18, 20, 24, 25, 27, 37, 39, 42, 43, 52, 53, 55, 60, 62, 69 |

18 | 11/03 | 10.4 | Absolute and conditional convergence | 10.4: 3, 8, 10, 13, 21, 22, 23, 24, 28 |

19 | 11/07 | 10.5 | The ratio and root test. Strategies for choosing tests. | 10.5: 4, 7, 11, 14, 15, 22, 24, 25, 27, 38, 39, 47, 52, 59 |

20 | 11/10 | 10.6 | Power series | 10.6: 9, 10, 14, 16, 19, 25, 26, 30, 31, 38, 39, 45 |

21 | 11/14 | 8.4, 10.7 | Taylor polynomials and Taylor seriesReview for the Exam |
8.4: 4, 8, 15, 17, 21, 22, 31, 32, 37, 45, 46 10.7: 4, 12, 18, 20, 21, 30, 31, 32, 39, 41, 42, 48, 53, 54 |

22 | 11/17 | Exam 2 In classroom where lectures are given | ||

23 | 11/22 | 11.1 | Parametric Equations | 11.1: 8, 10, 12, 14, 18, 20, 21, 22 |

24 | 11/28 | 11.2 | Parametric arc length and speed | 11.2: 6, 7, 8, 9, 11, 12, 21, 22 |

25 | 12/01 | 11.3 | Polar coordinates | 11.3: 3, 5, 6, 9, 12, 14, 16, 20, 27, 28 |

26 | 12/05 | 11.4 | Area and arc length in polar coordinates | 11.4: 7, 8, 9, 10, 13, 16, 25, 27, 30 |

27 | 12/08 | Notes | Complex numbers | |

28 | 12/12 |
Review for the Final Exam
(Final exam is on Thursday, December 18, 2017
from 4:00 pm to 7:00 pm) |