Introductory Course 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.