MATH114 Lecture Notes - Lecture 3: Quadratic Function, Trigonometric Tables, Pythagorean Theorem

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: Alsaody,Seidon

Document Summary

Math 114 lecture 3 real numbers and trigonometric functions. Presents all the numbers on the number line https://math. tutorvista. com/number-system/number-line. html. Intervals: are connected sections on the real numbers line. Example: [1,5] = {x | 1 x 5} Example: (1,5] = {x | 1 < x 5} Example: [-2, ) = {x | x 2} Inequalities are relations that hold between two values. Example: 3 > - 5, 6 < 8. Properties: a < b a + c < b + c. Example: 3 < 5 3 + 1 < 5 + 1: a < b a + c < b + d. Example: 3 < 5 3 + 1 < 5 + 2. Example: 3 < 5, c > 0 2*3 < 2*5. Example: 3 < 5, c < 0 3*(-1) > 5*(-1: a < b, c > 0 a*c < b*c c < d . 1 < 2 : 0 < a < b (cid:2869)(cid:3028)> (cid:2869)(cid:3029)