MTH 533 Advanced Calculus II

Continuation of MTH 532. Rigorous development of calculus for functions of several variables. Limits, continuity, differentiation, and integration. Prerequisite: MTH 532.

Syllabus

Homework

Schedule

Important Coordinate Systems

• Cartesian Coordinate System
• Cylindrical Coordinate System
• Spherical Coordinate System

Additional Lectures

• Functions
• Limits
• Vectors
• Lines and Planes
• Partial Derivatives
• Tangent Planes
• Differentiability (pdf format)
• Extrema

Plane Traces on The Saddle Surface

Plane Traces on an Ellipsoid

Animation	Movie
X Plane Cuts	X Plane Cuts
Y Plane Cuts	Y Plane Cuts
Z Plane Cuts	Z Plane Cuts
All Plane Cuts	All Plane Cuts
Y = MX Cuts	Y = MX Cuts

Level Surfaces of z²–y²+x² = c

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