## Introduction to Analysis

### Math 260 - Spring 2012 - Vanderbilt UniversityNEWS

- Lecture:
- MWF 1:10pm-2:00pm
- Stevenson 1313

- Office Hours:
- Mon 2:30pm-3:30pm & Weds 2:30pm-3:30pm
- Stevenson 1418

### Course Information

Syllabus pdf |
posted on 5 Jan 2012 |

### Exams

Midterm #1 |
10 Feb 2012 |
1:10pm-2pm |
SC 1313 |

Take-Home Midterm #1 |
15 Feb 2012 |
1:10pm |
SC 1313 |

Midterm #2 |
30 Mar 2012 |
1:10pm-2pm |
SC 1313 |

Take-Home Midterm #2 |
4 Apr 2012 |
1:10pm |
SC 1313 |

Final Exam |
30 Apr 2012 |
9am-11am |
SC 1313 |

### Handouts

Course Handout pdf |
posted on 5 Jan 2012 |

### Course Description

The course is an introduction to mathematical analysis with an emphasis on proofs and logic. Topics to be covered include:

- Logic, Sets and Real Numbers
- Sequences and Limits
- Point-Set Topology of Real Numbers
- Continuity
- The Derivative
- Sequences and Series of Functions
- Uniform Convergence and Equicontinuity

### Grading Scheme

Grades will be determined as follows:

- Final Exam30%
- In Class Midterms15%
- Take Home Midterms15%
- Homework35%
- Presentations5%

### Exams

There will be two midterm exams, each with an in class and a take home portion. The take home portion will resemble the homework but you are not allowed to collaborate on the midterm exams.

There will be a final exam at the end of the semester.

### Homework

Homework will be assigned weekly and due on Fridays at the start of class. You may (and are in fact encouraged) to work together solving homework problems but you must write up your own solutions to hand in. The lowest two homework scores will be dropped. Homework problems will be assigned from the textbook for the most part.

Every other week students will present solutions to the homework in class, you are required to present at least one problem during the semester.

### Homework Assignments

HW 10 |
#6.6.5, 6.6.7, 6.6.8, 7.2.2, 7.2.4, 7.2.6, 7.3.3, 7.3.4, 7.3.6 |
Date Due: 20 Apr 2012 |

HW 9 |
#6.3.2, 6.3.5, 6.4.1, 6.4.4, 6.4.6, 6.4.8, 6.5.3, 6.5.7, 6.5.8, 6.5.11 |
Date Due: 13 Apr 2012 |

HW 8 |
#5.3.2, 5.3.3, 5.3.5, 5.3.8, 5.3.9, 6.2.1, 6.2.2, 6.2.4, 6.2.14, 6.2.16 |
Date Due: 23 Mar 2012 |

HW 7 |
#4.5.3, 4.5.7, 4.5.8, 5.2.2, 5.2.3, 5.2.5, 5.2.7, 5.2.8 |
Date Due: 16 Mar 2012 |

HW 6 |
#4.2.1, 4.2.3, 4.2.6, 4.2.7, 4.3.1, 4.3.4, 4.3.6, 4.3.9, 4.4.4, 4.4.6, 4.4.9, 4.4.13 |
Date Due: 2 Mar 2012 |

HW 5 |
#3.2.1, 3.2.2, 3.2.3, 3.2.4, 3.2.5, 3.2.9, 3.2.11, 3.2.13, 3.3.3, 3.3.4, 3.3.6, 3.3.7, 3.4.1, 3.4.2, 3.4.4, 3.4.7, 3.4.9 |
Date Due: 24 Feb 2012 |

HW 4 |
#2.3.2, 2.3.4, 2.3.7, 2.3.10, 2.3.12, 2.4.2, 2.4.4, 2.4.6, 2.5.2, 2.5.3, 2.5.4 |
Date Due: 3 Feb 2012 |

HW 3 |
#2.2.1, 2.2.2, 2.2.3, 2.2.4, 2.2.5, 2.2.6, 2.2.7, 2.2.8 |
Date Due: 27 Jan 2012 |

HW 2 |
#1.3.2, 1.3.3, 1.3.4, 1.3.6, 1.3.8, 1.4.1, 1.4.4, 1.4.5, 1.4.7, 1.4.8, 1.4.10, 1.4.13 |
Date Due: 20 Jan 2012 |

HW 1 pdf |
#1.2.1, 1.2.2, 1.2.3, 1.2.6, 1.2.7, 1.2.8, 1.2.10 (and read about induction) |
Date Due: 13 Jan 2012 |