Mathematical Techniques for Computer Science (COMP11120)

Strengthen your understanding of mathematical induction and foundational concepts in relations and partial functions with these detailed lecture notes for COMP11120. Covering topics such as the principles of induction, properties of natural numbers, and an introduction to relations and partial functions, these notes provide clear explanations and practical examples. Perfect for students taking COMP11120 or those seeking to expand their knowledge independently, these notes offer structured con...

Dive into the concepts of equivalence relations and modular arithmetic with these comprehensive lecture notes for COMP11120. Covering key topics such as the properties and applications of equivalence relations, and the fundamentals of modular arithmetic, these notes provide clear explanations and illustrative examples to help you grasp these essential mathematical concepts. Ideal for students enrolled in COMP11120 or anyone looking to enhance their understanding of these topics, these notes a...

Unlock the power of recursion with these detailed lecture notes for COMP11120. Covering essential topics such as recursive definitions, applications in syntax, and the properties of natural numbers, these notes offer clear explanations and practical examples to solidify your understanding. Ideal for COMP11120 students and self-learners alike, these notes are organized and concise, making complex concepts accessible and easier to grasp. Enhance your learning and excel in your studies with this...

Master the concepts of equivalence classes and partial orders with these comprehensive lecture notes for COMP11120. These notes cover key topics such as the definition and properties of equivalence classes, the construction and visualization of partial orders, and their applications in various mathematical contexts. Perfect for students enrolled in COMP11120 or anyone looking to deepen their understanding of these fundamental concepts, these notes provide clear explanations, illustrative exam...

Master the fundamentals of lists with these comprehensive lecture notes for COMP11120. Covering essential topics such as list operations, properties, and various traversal techniques, these notes provide clear explanations and practical examples to help you understand and utilize lists effectively. Ideal for students enrolled in COMP11120 or anyone looking to strengthen their knowledge of data structures, these notes are organized and concise, making complex concepts more accessible. Enhance ...

Master the fundamentals of vector spaces and linear transformations with these comprehensive lecture notes for COMP11120. These notes cover key topics such as vector spaces, subspaces, bases, dimension, linear transformations, matrix representations, eigenvalues, and eigenvectors. With clear explanations, illustrative examples, and essential theorems, these notes are designed to help you understand and apply complex concepts with confidence. Perfect for students enrolled in COMP11120 or anyon...

Enhance your understanding of advanced list operations and binary trees with these comprehensive lecture notes for COMP11120. Covering essential topics such as list manipulation, traversal techniques, binary tree structures, and tree traversal algorithms, these notes are designed to provide you with a clear and concise understanding of the subject matter. Ideal for students enrolled in COMP11120 or those seeking to deepen their knowledge independently, these notes offer structured explanation...

Deepen your understanding of partial orders with these comprehensive lecture notes for COMP11120. Covering key concepts such as posets, Hasse diagrams, and order properties, these notes provide clear explanations and illustrative examples to help you grasp the foundational elements of partial orders. Perfect for students taking COMP11120 or those interested in expanding their knowledge of mathematical structures, these notes are organized and detailed, ensuring a thorough understanding of the...

Enhance your understanding of set theory with these detailed lecture notes for COMP11120, focusing on comparing sets. Covering key topics such as set equality, subset relations, and power sets, these notes provide clear explanations and practical examples to help you master the concepts of comparing sets. Perfect for students taking COMP11120 or those interested in deepening their knowledge of set theory, these notes are well-organized and concise, making complex concepts easy to understand. ...