Syllabus

Course Catalogue

This is a

This course is parallel to the regular course 401-0252-00L which has classes and materials in German.

This course is a continuation of Mathematics I. The main focus is multivariable calculus.

V. Functions of Several Variables and Partial Derivatives

VI. Multiple Integrals

VII. Integration of Vector Fields and Integral Theorems

Thomas, G. B.: Thomas' Calculus, Part 2, Pearson Addison-Wesley.

October through December, Tuesdays and Wednesdays 17-18h in room HG E 41

March through May, Wednesdays 12-14h in room HG E 41

Chapters listed from

Chapter |
Title |
Parts covered in
course |

12 |
Vectors and the Geometry of Space |
all parts |

13 |
Vector-Valued Functions and Motion in Space |
13.1-13.3, so omit curvature, torsion and planetary motion |

14 |
Partial Derivatives |
all parts except 14.8 "Lagrange Multipliers" and 14.9 "Partial Derivatives with Constrained Variables" and omit differentials |

15 |
Multiple Integrals |
all parts except 15.7 "Substitutions in Multiple Integrals" |

16 |
Integration in Vector Fields |
all parts |

Chapters listed from

Chapter |
Title |
Parts covered in
course |

6 |
Applications of
Definite Integrals |
only 6.3 "Lengths of Plane Curves" and 6.4 "Moments and Centers of Mass" |

10 |
Conic Sections and
Polar Coordinates |
only 10.1 "Conic Sections and Quadratic Equations", 10.5 "Polar Coordinates", 10.6 "Graphing in Polar Coordinates" and 10.7 "Areas and Lengths in Polar Coordinates" |

However, there are questions on this topic in exams up to 2021.

Study plan (for approximately 14 weeks):

Solutions to those exercises can be found at the back of the books.

Last update: May/2022