Calculus 2

Vrije Universiteit Amsterdam

Course Description

  • Course Name

    Calculus 2

  • Host University

    Vrije Universiteit Amsterdam

  • Location

    Amsterdam, The Netherlands

  • Area of Study

    Calculus

  • Language Level

    Taught In English

  • Course Level Recommendations

    Lower

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • ECTS Credits

    6
  • Recommended U.S. Semester Credits
    4
  • Recommended U.S. Quarter Units
    3
  • Overview

    COURSE OBJECTIVE

     

    At the end of this course the student is able to
    a) determine if a series is convergent or divergent, using several tests (like the comparison test, ratio test, alternating series test)
    b) work with power series (find radius of convergence, differentiate or integrate termwise)
    c) find the Taylor series of several functions (like exp(x), sin(x), cos(x), ln(1+x), etc)
    d) calculate partial derivatives, also using the chain rule e) find extreme values of functions of two variables, with and without contraints
    f) calculate with complex numbers
    g) solve several first- and second-order differential equations (separable equations, first-order linear equations, second-order linear equations with constant coefficients).

    COURSE CONTENT
    Series, Real functions of Several Variables, Differential equations.

    Topics that will be treated are:
    1) Sequences, Series, Power Series, Taylor Series
    2) Partial Derivatives, Chain Rule
    3) Extreme Values
    4) Double Integrals, Polar Coordinates
    5) Complex Numbers
    6) First and Second Order Differential Equations

    TEACHING METHODS
    Lectures (3x per week) and tutorials (2x per week)

    TYPE OF ASSESSMENT
    Midterm exam and Final exam. More details can be found in the manual on Canvas.

    RECOMMENDED BACKGROUND KNOWLEDGE
    Calculus 1
     

Course Disclaimer

Faculty of Behavioural and Movement Sciences 

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