Calculus III

Universitat Politècnica de València

Course Description

  • Course Name

    Calculus III

  • Host University

    Universitat Politècnica de València

  • Location

    Valencia, Spain

  • Area of Study

    Calculus, Mathematics

  • Language Level

    Taught In English

    Hours & Credits

  • Credits

  • Recommended U.S. Semester Credits
  • Recommended U.S. Quarter Units
  • Overview


    This course is a continuation of Calculus II, in which three-dimensional calculus is addressed. Emphasis in this course will be placed on understanding the underlying concepts rather than memorization: knowing why is the key to knowing how. We will cover selected sections in Chapters 12-16 of the textbook.


    1. Given vector-valued or real-valued functions involving two or more independent variables, students will identify and use appropriate techniques to analyze the fundamental properties of those functions.

    2. Students will be able to setup and solve physical applications problems related to all aspects of motion along a curve. Included would be the arc length of a curve, tangent, velocity, and acceleration.

    3. Students will be able to use the concepts of divergence, curl and flux and apply Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem. Students will solve problems related to vector fields including flow fields and conservative vector fields.


    Except for changes that substantially affect implementation of the evaluation (grading) statement, this syllabus is a guide for the course and is subject to change with advance notice. Please be aware of the fact that this is a "flexible" syllabus, and it may be necessary to modify it throughout the semester due to pedagogical considerations. Any changes, however, will be minimal.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.