Students interested and engaged in game development careers are often students who are underprepared for direct entry into a Calculus sequence. Students who are hesitant to study computer science, are often interested and engaged in gaming. That’s what led to this set of activities; cloaking advanced mathematics to build confidence for teachers and students on a set of topics intimidating for educators and overwhelming for students.

We view this offering as a series of activities, rather than as a math book. Each activity includes short descriptions, examples, and most include teacher notes at activity end. Feel free to edit to support your students.

This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include Vectors and Matrices, Partial Derivatives, Double and Triple Integrals, and Vector Calculus in 2 and 3-space.

This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.
MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates.

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
The materials have been organized to support independent study. The website includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:

Lecture Videos recorded on the MIT campus
Recitation Videos with problem-solving tips
Examples of solutions to sample problems
Problems for you to solve, with solutions
Exams with solutions
Interactive Java Applets (“Mathlets”) to reinforce key concepts

Content Development
Denis Auroux 
Arthur Mattuck 
Jeremy Orloff 
John Lewis
Heidi Burgiel 
Christine Breiner 
David Jordan 
Joel Lewis

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
The materials have been organized to support independent study. The website includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:

Lecture Videos recorded on the MIT campus
Recitation Videos with problem-solving tips
Examples of solutions to sample problems
Problems for you to solve, with solutions
Exams with solutions
Interactive Java Applets (“Mathlets”) to reinforce key concepts

Content Development
Denis Auroux 
Arthur Mattuck 
Jeremy Orloff 
John Lewis
Heidi Burgiel 
Christine Breiner 
David Jordan 
Joel Lewis

Module 2 extends the concept of matrices introduced in Module 1.  Students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Matrix properties are studied as well as the role of the zero and identity matrices.  Students then use matrices to study and solve higher order systems of equations.  Vectors are introduced, and students study the arithmetic of vectors and vector magnitude.  The module ends as students program video games using matrices and vectors.

(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

El módulo 2 extiende el concepto de matrices introducidas en el módulo 1. Los estudiantes analizan las relaciones de incidencia en las redes y codifican información sobre ellas a través de matrices de alta dimensión. Se estudian las propiedades de la matriz, así como el papel de las matrices cero y de identidad. Luego, los estudiantes usan matrices para estudiar y resolver sistemas de ecuaciones de orden superior. Se introducen vectores y los estudiantes estudian la aritmética de los vectores y la magnitud del vector. El módulo termina cuando los estudiantes programan videojuegos usando matrices y vectores.

English Description:
Module 2 extends the concept of matrices introduced in Module 1.  Students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Matrix properties are studied as well as the role of the zero and identity matrices.  Students then use matrices to study and solve higher order systems of equations.  Vectors are introduced, and students study the arithmetic of vectors and vector magnitude.  The module ends as students program video games using matrices and vectors.

This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor.