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## Calculus 2

2018-2019

### 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 the 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, Gradients
3) Extreme Values, Lagrange Multiplier method
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)

### Method of Assessment

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

### Literature

Adams and Essex, Calculus: A Complete Course, 9th edition, Pearson 2018,
ISBN-10: 0134154363 • ISBN-13: 9780134154367.

### Target Audience

1 BA

Participation in the working classes is compulsory! Detailed rules will
be announced in the manual on Canvas.

Calculus 1

### General Information

Course Code X_400636 6 EC P2 100 English Faculty of Science dr. ir. R.F. Swarttouw dr. ir. R.F. Swarttouw dr. ir. R.F. Swarttouw

### Practical Information

You need to register for this course yourself

Last-minute registration is available for this course.

Teaching Methods Seminar, Lecture
Target audiences

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