MATH137 Study Guide - Final Guide: Intermediate Value Theorem, Maxima And Minima, Mathematically Correct

• School: University of Waterloo
• Department: Mathematics
• Course: MATH137
• Professor: Nico Spronk

Document Summary

The final exam will cover materials from section 3. 4 to section 6. 1 of the textbook. For the detailed list of sections covered after section 3. 4, please see the last page of the syllabus. You still must know how to use all definitions, theorems and formulas that were covered in the midterm. For example, you must know the derivatives of trigonometric functions on page 193 and the double-angle formulas (15a, 15b, Alternative proofs will be accepted as long as they are mathematically correct. You will not be asked to state any definition or any theorem. But you are required to know how to use all the definitions and theorems that were covered in class to solve concrete problems. Interval notation: (a,b) open interval; endpoints not included. [a, ) infinite intervals; other variations as well. Function: is a machine which takes each element and assigns that to value a unique element.