### Course Meeting Times

Lectures: Three sessions / week, 1 hour / session

### Prerequisites

The official prerequisites for this course are Analysis I (18.100B), and either Algebra I (18.700 or 18.701). Students who have taken Linear Algebra (18.06) may consider this course, though 18.700 or 18.701 are preferable.

### Textbooks

The main textbook for this course is:

Munkres, J. *Analysis on Manifolds*. Cambridge, MA: Perseus Publishing, 1991. ISBN: 0201510359, ISBN: 0201315963 (paperback).

Some material and homework problems will be taken from:

Spivak, M. *Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus*. Cambridge, MA: Perseus Publishing, 1965. ISBN: 0805390219.

### Homework

There are two kinds of homework assignments in this course: daily homework problems and graded assignments. The daily homework problems are not graded but will be used on the graded assignments. There will be a total of four graded assignments based on the daily homework.

### Exams

There is one midterm exam and one comprehensive final exam.

### Grading

ACTIVITIES | PERCENTAGES |
---|---|

Graded Assignments | 50% |

Midterm Exam | 20% |

Final Exam | 30% |