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Analysis II - Period 4+5
STEM in Amsterdam Program
Amsterdam, Netherlands
Dates: 1/30/25 - 5/31/25
Analysis II - Period 4+5
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: X_400642
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
In this course we treat sequences and series of functions, functions of two variables and multiple integration. We also discuss differential equations of first and second order. The topics are:
a) Differential Equations of first order (separable equations and linear equations) and second order (linear with constant coefficients).
b) Sequences of functions. Pointwise and uniform convergence.
c) Series, Power series and Taylor series. Pointwise and uniform convergence.
d) Basic topology in Eucledian spaces.
e) Functions of several variables (continuity, differentiability, optimization, Taylor series)
f) Multiple integration (double and triple integrals, change of variables, improper integrals)
Vrije Universiteit Amsterdam (VU Amsterdam) awards credits based on the ECTS system. Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.\
Course includes lab component.
a) Differential Equations of first order (separable equations and linear equations) and second order (linear with constant coefficients).
b) Sequences of functions. Pointwise and uniform convergence.
c) Series, Power series and Taylor series. Pointwise and uniform convergence.
d) Basic topology in Eucledian spaces.
e) Functions of several variables (continuity, differentiability, optimization, Taylor series)
f) Multiple integration (double and triple integrals, change of variables, improper integrals)
Vrije Universiteit Amsterdam (VU Amsterdam) awards credits based on the ECTS system. Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.\
Course includes lab component.