# Math 1023 Syllabus

## Limits, series, approximations, polar coordinates, and vectors

(Chapters 9, 10, 11, and parts of Chapters 4 and 7)

#### The course outline given below lists the sections that will be
covered in class.

- 1.
- Indeterminate forms (4.8, 4.9)
- 2.
- Improper integrals (7.8)
- 3.
- Sequences (10.2)
- 4.
- Series (10.3)
- 5.
- Taylor series and Taylor polynomials (10.4)
- 6.
- Convergence tests (10.5-10.7)
- 7.
- Power Series (10.8, 10.9)
- 8.
- Polar Coordinates (9.2, 9.3)
- 9.
- Parametric Curves (9.4, 9.5)
- 10.
- Vectors and cross products (11.1-11.3)
- 11.
- Lines and planes in space (11.4)
- 12.
- Curves in space, motion, curvature, acceleration (11.5, 11.6)

- About three classes on the sections from Chapters 4 and 7,
eleven on Chapter 10, four classes on Chapter 9, and six on Chapter 11.
- Emphasis in Chapter 10 should be on geometric series, power
series, and Taylor series, not on convergence tests.