Introductory Course in Mathematics
This course is aimed at students wanting to freshen up or deepen their mathematics skills before starting a university education in mathematics.
The course treats the extentions of the basic field of numbers from the positive integers to the complex numbers. The binomial theorem, prime numbers and factorization. Logic. Functions, inequalities, absolute value. Algebraic and graphic representation of point sets. Limits and the importance of the derivative in optimization problems. Trigonometric functions and equations, polar representation of complex numbers. Arithmetic operations on polynomials, the factor theorem. The concept of the integral as an infinite sum.
The course is given in Swedish, and more information can be found on the Swedish version of this page.





