MATH 2500: Accelerated Calculus III

The textbook is an open source book available at https://openstax.org/details/books/calculus-volume-3. The ISBN is 1938168070, and the digital ISBN is 1947172166. Chapter numbering is different between Calculus Volume 3 and WebAssign version.

• Note 1.1: Parametric Equations (Post)

• Note 1.2: Calculus of Parametric Curves (Post)

• Note 1.3: Polar Coordinates (Post)

• Note 1.4: Area and Arc Length in Polar Coordinates (Post)

• Note 2.1: Vectors in the Plane (Post)

• Note 2.2: Vectors in Three Dimensions (Post)

• Note 2.3: The Dot Product (Post)

• Note 2.4: The Cross Product (Post)

• Note 2.5: Equations of Lines and Planes in Spaces (Post)

• Note 2.7: Cylindrical and Spherical Coordinates (Post)

• Note 3.1: Vector-Valued Functions and Space Curves (Post)

• Note 3.2: Calculus of Vector-Valued Functions (Post)

• Note 3.3: Arc Length and Curvature (Post)

• Note 4.1: Functions of Several Variables (Post)

• Note 4.2: Limit and Continuity (Post)

• Note 4.3: Partial Derivatives (Post)

• Note 4.4: Tangent Planes and Linear Approximations (Post)

• Note 4.5: The Chain Rule (Post)

• Note 4.6: Directional Derivatives and the Gradient (Post)

• Note 5.1: Double Integrals over Rectangular Regions (Post)

• Note 5.2: Double Integrals over General Regions (Post)

• Note 5.3: Double Integrals in Polar Coordinates (Post)

• Note 6.1: Vector Fields (Post)

• Note 6.2: Line Integrals (Post)

• Note 6.3: Conservative Vector Fields (Post)

• Note 6.4: Green's Theorem (Post)

• Note 6.5: Divergence and Curl (Post)

• Note 6.6: Surface Integrals (Post)

• Note 6.7: Stokes Theorem (Post)

• Note 6.8: Divergence Theorem (Post)

• Quiz 1: Parametric Equations / Calculus of Parametric Curves / Polar Coordinates

• Quiz 2: Area and Arc Length in Polar Coordinates / Vectors / The Dot Product

• Quiz 3: The Cross Product / Relations between Lines / Equation for a Plane

• Quiz 4: Level Curves and Contour maps / Limit / Tangent Planes and Linear Approximations

• Quiz 5: Double Integrals in Polar Coordinates

• Test 1: From Sec 1.1 to Sec 2.7 (Solution)

• Test 2: From Sec 3.1 to Sec 4.6 (Solution)

• Test 3: From Sec 5.1 to Sec 6.2 (Solution)

• Final: From Sec 1.1 to Sec 6.8 (Solution)