computer engineer, a person who designs, builds, and tests computer hardware and software systems., computer science, the study of computers and how they process information, including programming and algorithms. It focuses on software, data, and solving problems with technology., mathematical analysis, studying changes, limits, and patterns using math tools like calculus. In engineering, it helps model systems and predict behaviors. , software, programs and instructions that tell hardware what to do, such as apps and operating systems., hardware, the physical parts of a computer you can touch, like the CPU, screen, and keyboard..

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