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# Analysis I

Math 3150, Section 001 - Analysis I, Spring 2019 [Course Syllabus]

**Lectures:** MWF 11:15 - 12:05 at MONT 314

**Office hours:** MW 1pm-2pm at MONT 304

**Required Text Book:** Elementary Analysis: The Theory of Calculus
by Kenneth A. Ross. ISBN 978-1-4614-6270-5, Springer; 2nd ed. 2013 edition (April 17, 2013).

** Exam Dates**:

Exam 1: March 1, Friday.

Exam 2: April 5, Friday.

Final Exam: To be announced by the registrar office.

** Grading policy**: Quiz: %20, Homework: %10, 1st Exam: %20, 2nd Exam: %20, Final Exam:%30.

Exam 1: March 1, Friday.

Exam 2: April 5, Friday.

Final Exam: To be announced by the registrar office.

### Exams

### Homework

- HW1: Assigned problems for sections 1.1 to 1.5. Due date: Monday, February 4 before the class.
- HW2: Assigned problems for sections from 2.7 to 2.9. Due date:
~~Friday, February 8~~Monday, February 11 before the class. - HW3: Assigned problems for 2.9 (if you did not sovle in HW2) and problems in this old exam. Due date: Monday February 18 before the class.
### Quizzes

### Lecture and Assignment Schedule

### Important Links

- Please log-on HuskyCT for the course announcements and grades.
- Academic Calendar for this semester https://registrar.uconn.edu/academic-calendar/fall-2018/.
- Exam rescheduling https://guide.uconn.edu/student-interactions/rescheduling-exams/.
- Academic Integrity Policy https://community.uconn.edu/academic-integrity-faculty-faq/.

Section | Covered on | Topics | Assigned Problems |
---|---|---|---|

1.1 | 01/23 | The Set $\mathbb{N}$ of Natural Numbers | Page 5, Exercises 1.4, 1.7, 1.11. |

1.2 | 01/23 and 01/25 | The Set $\mathbb{Q}$ of Rational Numbers | Page 13, Exercises 2.3, 2.8. |

1.3 | 01/25 | The Set $\mathbb{R}$ of Real Numbers | Page 19, Exercises 3.6, 3.7. |

1.4 | 01/30 | The Completeness Axiom | Pages 27-28, Exercises 4.1,4.3, 4.14. |

1.5 | 02/01 | The Symbols $+\infty$ and $-\infty$ | Page 30, Exercise 5.6. |

2.7 and 2.8 | 02/01 and 02/04 and 02/06 | Limits of Sequences and A discussion about Proofs | Page 44, Exercises 8.2 (b) (d) (e), 8.4, 8.6. |

2.9 | 02/06 and 02/08 and 02/11 and 02/13 | Limit theorems for sequences | Page 54, Exercises 9.1 (a) (c), 9.2 (a) (b), 9.3, 9.4, 9.5. |

2.10 | 02/15 and 02/18 and 02/20 | Monotone sequences and Cauchy sequences | Pages 64-65-66, Exercises 10.1 (a) (c) (e), 10.2, 10.4, 10.6 (a) (b), 10.7, 10.10, 10.12. |

2.11 | 02/15 and 02/18 and 02/20 | Subsequences | Pages 76-77-78, Exercises 11.4, 11.10, 11.11 |