The Eight Great Early Calculus Theorems Coffee Mug

The Gr8ECT, as they are known, are like characters in an epic novel. We meet them early on -- in the first 100 pages or so -- then they vanish, the plot overtaken by larger events. Only many (many) pages later do they rejoin the story, stepping from the shadows to save the protagonist at some critical moment when all seems lost, upon which the reader knowingly nods ah yeah, I remember that guy. So, too, with the Gr8ECT. You are forgiven if you don't remember them. The Gr8ECT arrive at a dark time, that time being first semester calculus when you are young and (if you were like LabKitty) terrified. The full team is assembled by the time first semester calc comes to a close. Then: Second semester hits you like a sack of oranges. Months of techniques of integration and applications, the memory of first semester rapidly fading. However (and this is the important part), there is no cosmic author that will reintroduce the Gr8ECT when the time comes. The onus is on you to remember, and remembering one of the Gr8ECT may be all that stands between you passing the class and not passing the class. Much is at stake indeed. Well, LabKitty is here to help. Recognising there's no reason anyone would bump into the Gr8ECT in normal life, I put them on a mug. Re-familiarise yourself with the Gr8ECT every time you slurf! Here they are: The Extreme Value Theorem, the Intermediate Value Theorem, Rolle's Theorem, the Mean Value Theorem, the Mean Value Theorem for Integrals, the Positive Interval Theorem, the Shifted Function Theorem, and the Constant Function Theorem. You won't find a statement of the theorem here. Instead, enjoy a collection of handy graphical mnemonics for you to contemplate. Think of these as training your spidey sense. A subconscious awareness triggered when you encounter a problem easily cracked by one of the Gr8ECT and impossible otherwise. You're off to the ball, while your classmates (who don't have a Gr8ECT mug) weep bitter tears.