The ability to control his temper isn't well developed yet, just like his ability to write his name. When someone gets mad, their brain moves into the basic instincts area. So the brain is functioning using things such as anger, fight-flight, reflexes etc. There is no rational thought in there.
What grownups are better able to do (well, hopefully better able) is to re-regulate and get back into the higher levels of the brain where reasoning occurs. So, just like with many skills of your toddler, you need to help him do this.
First, if he is biting, stop him. Second, if you know it's coming or can figure out places/events where it happens, PREVENT them. Stop things before they happen or when they are low frustration. Third, distract by becoming a strong source of the emotion that you would rather see. Learn how to playful parent and bring him back to fun - or - with other children, mirror their feelings and let them know they are heard and understood.
Harvey Karp is great. He has some youtube videos as well as books. Laurence Cohen is the author of Playful Parenting. It's for older kids, but with some thinking, you can adapt it to toddlers. Both have websites.
Hang in there. It takes years to get a handle on emotions. He will make good strides, but it will not happen overnight by any means. It's very age expected. (check out your 1 yr old by Ames and Ilg to see common age-level behaviors). You expecting him to have the self control of a 20 year old will only set you up for frustration.