### Math 1060: Differential Geometry

####
Professor Richard Kenyon

Tel. 863-6406

rkenyon -at- math dot brown dot edu

office: Kassar 305

Office hours: Mondays 12:30-1:30pm

**Text:** Differential Geometry of Curves and Surfaces, Banchoff and Lovett

See errata and applets
here
**Course outline:**
Use tools developed in calculus to study curves and surfaces.
We will cover most of chapters 1-6 and, time permitting, 7 and 8.

## Final Dec 20, 2014 2:00:00 PM BARHOL 155

There will be homeworks collected weekly and one midterm.

The final grade will be weighted as follows:
Homework 35%, midterm 25%, final 40%.

### Homework:

Late homework will not be accepted.
The lowest homework grade will be dropped.
**Homework 1, due Thursday Sept. 11 in class:**

Page 9: 1.1.2, 1.1.4 (check the errata page for the correct formula), 1.1.5, 1.1.6. Explain how to use the parameterization in 1.1.5 to compute the area of the unit circle without using calculus or square roots.

**Homework 2, due Tuesday Sept. 16 in class:**

1.2.3, 1.2.4, 1.2.6, 1.2.10, 1.2.12

**Homework 3, due Tuesday Sept. 23 in class:**

1.3.3, 1.3.7, 1.3.9, 1.3.12, 1.4.3

**Homework 4, due Tuesday Sept. 30 in class:**

1.5.3, 2.1.3, 2.2.3

**Homework 5, due Tuesday Oct 7 in class:**

2.4.3, 3.1.3, 3.1.5, 3.2.1c, 3.2.4, 3.2.5

**Homework 6, due Tuesday Oct 14 in class:**

3.3.1, 3.3.3, 3.3.4, 4.1.1

**Homework 7, due Tuesday Nov. 4 in class:**

4.2.1, 4.2.2, 5.1.2, 5.1.4, 5.1.5, 5.2.1, 5.2.3, 5.2.8

**Homework 8, due Tuesday Nov. 11 in class:**

5.3.5, 5.4.1, 5.4.3, 5.4.4, 5.4.5

**Homework 9, due Tuesday Nov. 18 in class:**

5.5.2, 6.1.2, 6.1.3, 6.1.8, 6.1.13, 6.1.15

**Homework 10, due Tuesday Nov. 25 in class:**

6.2.1, 6.3.1, 6.3.7, 6.3.9, 6.3.10

**Homework 11, due Tuesday Dec. 2 in class:**

6.4.2, 6.4.8, 6.4.10

**Homework 12, due Tuesday Dec. 9 in class:**

6.5.1, 6.5.2, 6.5.8, 6.6.8

**Reading:**

for Tuesday Sept 9: read 1.1-1.3

for Tuesday Sept 16: read 1.4-2.1

for Tuesday Oct 7: read up through 4.2

for Tuesday Oct 28: read up through 6.1

for Tuesday Nov. 11: read up through 6.3

**Fun stuff:** check out
http://geometrygames.org

https://www.youtube.com/watch?v=wHfpacPLHIA