MATH122 Calculus and linear algebra

In the first part of the course the theory of function for one variable calculus will be expanded to multivariable calculus: Parametrization of curves, polar coordinates and arch length. Vectors in the plane and the space. Functions of several variables. Limits and continuity, gradients and directional derivative. Double- and triple integral, as well as change of variable in multiple integrals.

In the second part of the course, basic linear algebra will be covered: systems of linear equations, Gaussian elimination, matrix product, inverse matrices, determinants, eigenvalues and eigenvectors.

Students are to

1. Acquire basic ideas and theorems from the theory.
2. Master standard methods in linear algebra and for analyzing and operating with functions in more than one variable.
3. Be able to use this knowledge and these skills when solving simple applied problems.