Algebra is the language of modern mathematics. This course introduces students to that language through a study of groups, group actions, vector spaces, linear algebra, and the theory of fields.
Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.
Note: this is a 57 MB PDF Document.
A research review describing the benefits of school-community partnerships.
This lecture includes the following topics: Linked lists.
This lecture includes the following topics: Valgrind. Bitwise operators. Hash tables. Trees. Binary search trees. Tries. Heaps. Heapsort. Huffman coding.
This lecture includes the following topics: Valgrind. Bitwise operators. Hash tables. Trees. Binary search trees. Tries. Heaps. Heapsort. Huffman coding.
This lecture includes the following topics: TCP/IP. HTTP. XHTML. PHP. SQL.
This lecture includes the following topics: TCP/IP. HTTP. XHTML. PHP. SQL.
This lecture includes the following topics: DOM. CSS. Inheritance. JavaScript. Events, continued. OOP. Ajax.
This lecture includes the following topics: DOM. CSS. Inheritance. JavaScript. Events, continued. OOP. Ajax.
This lecture includes the following topics: Preprocessing. Compiling. Assembling. Linking. CPUs.
This lecture includes the following topics: Enterprise architectures. Virtualization. Cloud computing. Sneak previews.
This lecture includes the following topics: Enterprise architectures. Virtualization. Cloud computing. Sneak previews.
This lecture includes the following topics: Introduction. Bits. Binary. ASCII. Programming. Algorithms. Scratch. Statements. Boolean expressions. Conditions. Loops. Variables. Threads. Events.
This lecture includes the following topics: Exciting conclusion.
This lecture includes the following topics: Introduction. Bits. Binary. ASCII. Programming. Algorithms. Scratch. Statements. Boolean expressions. Conditions. Loops. Variables. Threads. Events.
This lecture includes the following topics: Functions, continued. Global variables. Parameters. Return values. Stack. Frames. Scope. Arrays. Strings. Command-line arguments. Cryptography.
This lecture includes the following topics: Functions, continued. Global variables. Parameters. Return values. Stack. Frames. Scope. Arrays. Strings. Command-line arguments. Cryptography.
This lecture includes the following topics: Linear search. Binary search. Asymptotic notation. Recursion. Pseudorandomness. Bubble sort. Selection sort. Insertion sort. Merge sort. Debugging.
This lecture includes the following topics: Linear search. Binary search. Asymptotic notation. Recursion. Pseudorandomness. Bubble sort. Selection sort. Insertion sort. Merge sort. Debugging.