Virtual Family: Forms and Functions

Forms and functions of International and Local EFL Workbook Activities

English language teaching market (ELT) inundated with course book packages containing astudent’s book, a teacher’s guide, workbooks, CD’s, videos, and test materials. A host ofresearchers have focused on course book evaluation and analysis and considered the selectionand evaluation of materials as an essential procedure in order to enhance out comes for thelearners who use them. This study thru...

Quadratic Forms and Height Functions

Modular Functions and Modular Forms

These are the notes for Math 678, University of Michigan, Fall 1990, exactly as they were handed out during the course except for some minor revisions and corrections. Please send comments and corrections to me at [email protected].

Unimodal Sequences and “strange” Functions: a Family of Quantum Modular Forms

In this paper, we construct an infinite family of quantum modular forms from combinatorial rank “moment” generating functions for strongly unimodal sequences. The first member of this family is Kontsevich’s “strange” function studied by Zagier. These results rely upon the theory of mock Jacobi forms. As a corollary, we exploit the quantum and mock modular properties of these combinatorial funct...

Trigonometric functions, elliptic functions, elliptic modular forms