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Multivariable Calculus (Calc III)

Multivariable Calculus (Calc III)

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About This Course

This course extends calculus to functions of several variables. Topics include vectors and geometry in three dimensions, partial derivatives, multiple integrals, vector fields, and basic vector calculus concepts. Emphasis is placed on visualization, problem solving, and applications in science and engineering.

Instructor edusolum
Language ENG
Chapters 14
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Course Syllabus

Module 1
  • 1. Vectors and Geometry of Space 1 reading
  • 2. Vector-Valued Functions and Motion in Space 1 reading
  • 3. Functions of Several Variables 1 reading
  • 4. Limits and Continuity in Multiple Variables 1 reading
  • 5. Partial Derivatives 1 reading
  • 6. Gradient, Directional Derivatives, and Tangent Planes 1 reading
  • 7. Optimization and Lagrange Multipliers 1 reading
  • 8. Multiple Integrals 1 reading
  • 9. Integration in Polar, Cylindrical, and Spherical Coordinates 1 reading
  • 10. Vector Fields 1 reading
  • 11. Line Integrals 1 reading
  • 12. Green’s Theorem 1 reading
  • 13. Surface Integrals 1 reading
  • 14. Stokes’ Theorem and the Divergence Theorem 1 reading

Certificate terms & implications

Course Mastery Certificates require an active Unlimited subscription at the time of generation and 100% course completion. They recognise learning content completion only — not an accredited qualification, licence, or professional credential unless explicitly stated. edusolum may modify eligibility, design, and issuance requirements per its Terms of Service.