The following topics will be covered in Multivariable Calculus Class.

Vectors and the Geometry of Space

• Three-Dimensional Coordinate Systems
• Vectors
• The Dot Product
• The Cross Product
• Equations of Lines and Planes
• Cylinders and Quadric Surfaces

Vector Functions

• Vector Functions and Space Curves
• Derivatives and Integrals of Vector Functions
• Arc Length and Curvature
• Motion in Space:  Velocity and Acceleration

Partial Derivatives

• Functions of Several Variables
• Limits and Continuity
• Partial Derivatives
• Tangent Planes and Linear Approximations
• The Chain Rule
• Directional Derivatives and the Gradient Vector
• Maximum and Minimum Values
• Lagrange Multipliers

Multiple Integrals

• Double Integrals over Rectangles
• Iterated Integrals
• Double Integrals over General Regions
• Double Integrals in Polar Coordinates
• Applications of Double Integrals
• Surface Area
• Triple Integrals
• Triple Integrals in Cylindrical Coordinates
• Triple Integrals in Spherical Coordinates
• Change of Variables in Multiple Integrals

Vector Calculus

• Vector Fields
• Line Integrals
• The Fundamental Theorem for Line Integrals
• Green’s Theorem
• Curl and Divergence
• Parametric Surfaces and Their Areas
• Surface Integrals
• Stokes’ Theorem
• The Divergence Theorem
• Differential Forms and the General Stokes’ Theorem

Key Features:

Training Type: Online Live Interactive Session.

Experienced Faculty.

Small Groups

Duration 40 Hours

Access to Class Recordings.

Weekday / Weekend Classes.

Evening Schedule:

3 Days / Week

8:30 PM – 9:30 PM EST

9:00 PM – 10:00 PM EST

9:30 PM – 10:30 PM EST

10:00 PM – 11:00 PM EST

Morning Schedule:

3 Days / Week

10:00 AM – 11:00 AM EST

10:30 AM – 11:30 AM EST

11:00 AM – 12:00 PM EST

11:30 AM – 12:30 PM EST

Please contact us, If you are looking for different schedule or need more information.

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