Get up to $500 in flight credits or grants toward study or internship programs abroad when you apply by November 17, 2024. See our Official Rules for full details.
Single Variable Calculus - Period 1+2 Course Overview
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: XB_41007
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
This course deals with calculus of functions of one variable. In particular we cover * manipulating algebraically with exponential, logarithmic and (inverse) trigonometric functions * determining limits by identifying dominant terms * computing limits using l'Hôpital's rule * calculating derivatives of any composition of elementary functions * computing Taylor polynomials * computing tangent lines to implicitly defined curves in the plane * finding and classifying the (local) minima and maxima of functions * graphing simple functions (e.g. rational functions, exponentials, logarithms and compositions thereof) * calculating areas under the graphs of elementary functions * computing antiderivatives using integration by parts * computing antiderivatives using an appropriately chosen substitution * integrating simple rational functions (using "partial fractions") * determining if an improper integral converges (and compute the area) * solving first order differential equations of separable type and of linear inhomogeneous type * solving homogenous linear second order differential equations with constant coefficients * solving systems of two linear first order differential equations with constant coefficients * performing arithmetic with complex numbers * determining if a series converges by comparing to a geometric series or p-series. * determining if a series converges using an appropriately chosen convergence test * determining the interval of convergence of a power series * performing simple algebraic manipulations with power series
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.
Get a Flight Credit worth up to $500 when you apply with code* by November 17, 2024