MATEMATIKA II

Upon the completion of this course, the student will show the ability to: 1. Describe the set of natural numbers; 2. Calculate the value of expression containing natural numbers and the operations of addition and multiplication; 3. Define the order relation and "shared" relation on the set N, and prove basic theorems in connection with these relations; 4. Determine the lowest common denominator and the greatest common divisor of certain natural numbers; 5. Determine the greatest common divisor of two integers by applying the Euclidean algorithm; 6. Recognize and list prime and composite numbers; 7. Prove the assertions relating to the natural numbers using mathematical induction.