No, woolly mammoths are not dinosaurs. They were large, elephant-like mammals that lived during the Ice Age, specifically within the genus Mammuthus. Woolly mammoths roamed various parts of the Northern Hemisphere, including Europe, Asia, and North America.
Dinosaurs, on the other hand, belong to a distinct group of reptiles that dominated the Earth for millions of years, primarily during the Mesozoic Era, which ended around 65 million years ago with a mass extinction event. The last of the dinosaurs went extinct long before mammoths appeared, which were more closely related to modern elephants.
In summary, while both woolly mammoths and dinosaurs are part of the history of life on Earth, they come from different eras and are classified in different categories of animals.