Pre-Requisite: MTH-212

# Objectives

The students will understand- The matrix representation of differentials.
- The multivariable chain rule.
- Vector calculus.
- Curvilinear coordinates.
- Change of variables in higher dimensions.
- Improper multiple integrals.
- Applications of line and surface integrals.
- Differential forms.
- The general Stokes theorem.
- Taylor's formula for functions of several variables.

# Textbook

*Vector Calculus (5th Edition)*by Marsden and Tromba.

Publisher: W. H. Freeman; 5 edition

ISBN: 978-0716749929

# Grading

Homework | 20% |

Exam 1 | 16% |

Exam 2 | 16% |

Exam 3 | 16% |

Final | 32% |