MATH122 Calculus and Linear Algebra

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

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