What This Document Is
This document, Note 1 from CS 70 Discrete Mathematics and Probability Theory at UC Berkeley (Fall 2015), serves as an introductory overview to the course. It lays the foundational groundwork for understanding the core principles that underpin computer science, bridging the gap between abstract mathematical concepts and their practical applications in the field. It’s designed to orient students to the course’s scope and the essential mathematical tools they will be developing.
Why This Document Matters
This note is particularly valuable for students beginning their journey in computer science, or those seeking a deeper understanding of the theoretical underpinnings of the discipline. It’s ideal for reviewing *before* diving into more complex topics, helping to establish a conceptual framework. Students who want to understand the “why” behind computer science – its connection to other fields and its fundamental principles – will find this a helpful starting point. It’s also useful for anyone wanting to appreciate the mathematical language used throughout the course.
Topics Covered
* The interdisciplinary nature of computer science
* The relationship between theoretical computer science and practical applications
* The importance of mathematical foundations in computer science
* An overview of logic and proofs as foundational elements
* Introduction to modular arithmetic and its relevance to computer security
* The role of probability theory in modern computer science
What This Document Provides
* A broad introduction to the course’s objectives and structure.
* A discussion of the core concepts that define computer science.
* Contextualization of the course material within the broader landscape of scientific and engineering disciplines.
* An explanation of the importance of rigorous mathematical thinking in computer science.
* A high-level roadmap for the two main sections of the course.
