Daily Study Group: Introduction to Multivariable Calculus
This Daily Study Group follows lessons from the upcoming Wolfram U comprehensive introduction to multivariable calculus course. The course extends concepts from single-variable calculus to multiple dimensions. Multivariable calculus follows and expands on topics covered in AP Calculus BC courses.

The instructor guides each session by sharing short lessons with examples, polling the group to review key concepts, introducing practice problems and answering questions. A certificate of program completion will be awarded to participants who attend online sessions and pass quizzes. Level 1 proficiency certification will be awarded to those who also pass the online course exam.

Study group sessions run daily, Monday through Friday.
Sessions in This Study Group
• What Is Multivariable Calculus?, Coordinate Geometry in Three Dimensions, Vectors
Monday, September 11, 2023 · 11:00 AM CDT
• The Dot Product, The Cross Product
Tuesday, September 12, 2023 · 11:00 AM CDT
• Lines and Planes, Cylinders and Quadratic Surfaces
Wednesday, September 13, 2023 · 11:00 AM CDT
• Vector Functions and Space Curves, Derivatives and Integrals of Vector Functions
Thursday, September 14, 2023 · 11:00 AM CDT
• Arc Length and Curvature, Functions of Several Variables, Review
Friday, September 15, 2023 · 11:00 AM CDT
• Limits and Continuity, Partial Derivatives
Monday, September 18, 2023 · 11:00 AM CDT
• Tangent Planes and Linear Approximations, The Chain Rule
Tuesday, September 19, 2023 · 11:00 AM CDT
• Directional Derivatives and Gradients, Maxima and Minima
Wednesday, September 20, 2023 · 11:00 AM CDT
• Double Integrals over Rectangles, Iterated Integrals, Double Integrals over Regions
Thursday, September 21, 2023 · 11:00 AM CDT
• Double Integrals in Polar Coordinates, Surface Area, Review
Friday, September 22, 2023 · 11:00 AM CDT
• Triple Integrals, Triple Integrals in Cylindrical Coordinates
Monday, September 25, 2023 · 11:00 AM CDT
• Triple Integrals in Spherical Coordinates, Change of Variables in Multiple Integrals, Vector Fields
Tuesday, September 26, 2023 · 11:00 AM CDT
• Line Integrals, The Fundamental Theorem, Line Integrals and Green's Theorem
Wednesday, September 27, 2023 · 11:00 AM CDT
• Curl and Divergence, Areas of Parametric Surfaces, Surface Integrals
Thursday, September 28, 2023 · 11:00 AM CDT
• Stokes' Theorem, The Divergence Theorem, Review
Friday, September 29, 2023 · 10:30 AM CDT
Join Current Session