◆ 標示之章節,由老師依課程內容完整度決定是否講授
Sequences, Series, and Power Series
Sequences Series
The Ratio and Root Tests
Power Series
Representations of Functions as Power Series
Taylor and Maclaurin Series
Applications of Taylor Polynomials
Partial Derivatives
Functions of Several Variables and Level Curves
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
Double Integrals over General Regions
Double Integrals in Polar Coordinates
◆Surface Area
Triple Integrals
◆Triple Integrals in Cylindrical Coordinates
◆Triple Integrals in Spherical Coordinates
◆Change of Variables in Multiple Integrals