HOU-218.01- Single-Variable Calculus- Version A- Calculus Part I- Free Course


This is a free course given by MIT under The

Creative Commons License

Single Variable Calculus

Secant approximation mathlet from the d’Arbeloff Interactive Math Project. Image courtesy of Haynes Miller, Heidi Burgiel, and J.-M. Claus.

Reference: David Jerison. 18.01SC Single Variable Calculus. Fall 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

Level

Undergraduate

Course Features

Course Description

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.

Course Format

Click to get started.This course has been designed for independent study. It includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:

  • Lecture Videos with supporting written notes
  • Recitation Videos of problem-solving tips
  • Worked Examples with detailed solutions to sample problems
  • Problem sets with solutions
  • Exams with solutions
  • Interactive Java Applets (“Mathlets”) to reinforce key concepts

 

David Jerison. 18.01SC Single Variable Calculus. Fall 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

HOU 18.02 Multi-Variable Calculus- Calculus Part II – Free Course


Multivariable Calculus offered by MIT under the Creative Commons License

Course Home

OCW Scholar

Graph of an eighth of a sphere.

Directional derivatives for functions of two variables. (Image courtesy of John B. Lewis.)

Instructor(s)

Prof. Denis Auroux

Level

Undergraduate

Cite This Course. 

Reference: https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/#

Course Features

Course Description

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.

Course Formats

Click to get started.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
  • Problem for you to solve, with solutions
  • Exams with solutions
  • Interactive Java Applets (“Mathlets”) to reinforce key concepts

5.112 Principles of Chemical Science- Chemistry


Principles of Chemical Science

Linear combinations of atomic orbitals for tetrahedral methane.

Linear combinations of H 1s atomic orbitals that match nodal properties of C 2p atomic orbitals for tetrahedral methane. (Figure by MIT OpenCourseWare.)

MIT Course Number

5.112

Level

Undergraduate

Translated Versions

 

Cite This Course

Need help getting started? Or do you need help with this particular subject. Please contact us for tutoring lessons.

Course Features

Course Description

5.112 is an introductory chemistry course for students with an unusually strong background in chemistry. Knowledge of calculus equivalent to MIT course 18.01 is recommended. Emphasis is on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. The course also covers applications of basic principles to problems in metal coordination chemistry, organic chemistry, and biological chemistry.