Brooks Emerick

matH 283 — Calculus III

Fall 2025 — Section 010

Course Materials:

• Schedule (updated Aug 24)

• Syllabus (updated Aug 24)

Hawkes Learning:

• Purchase Access/Login

• Training Videos

• Hawkes Learning Support

lecture notes:

• Chapter 11 — Vectors and the Geometry of Space

• Chapter 12 — Vector Functions

• Chapter 13 — Partial Derivatives (updated 9/30)

Videos and Desmos:

• Using GeniusScan to Upload Homework to D2L

• Distance Between Two Spheres

• Graphing Surfaces with Cross-Sections — Paraboloid

• Graphing Surfaces with Cross-Sections — Hyperbolic Paraboloid

• Lines in Three-Dimensional Space

• Skew Lines

• Planes in Three-Dimensional Space

• Intersection of Two Planes

• Quadric Surfaces

• Vector-Valued Functions

• Tangent Line to Vector Functions

• Two Variable Functions

• Contour Maps

• Limits of Two Variable Functions

Worksheets:

• S.11.1: Three-Dimensional Cartesian Space (Solutions)

• S.11.2: Vectors (Solutions)

• S.11.3: The Dot Product (Solutions)

• S.11.4: The Cross Product (Solutions)

• S.11.5.P1: Lines (Solutions)

• S.11.5.P2: Planes (Solutions)

• S.11.6: Cylinders and Quadric Surfaces (Solutions)

• S.12.1: Vector-Valued Functions (Solutions)

• S.12.2: Arc-Length and the Unit Tangent Vector (Solutions)

• S.13.1: Two Variable Functions (Solutions)

• S.13.2.P1: Limits of Multivariable Functions (Solutions)

• S.13.2.P2: Limits and Continuity (Solutions)

• S.13.3.P1: Partial Derivatives (Solutions)

• S.13.3.P2: Implicit Differentiation and Tangent Lines (Solutions)

• S.3.4: The Chain Rule (Solutions)

Problem Sets:

• Problem Set I (Solutions)

• Problem Set II (Solutions)

• Problem Set III (Due Oct 3 at 11:59 PM on D2L)

• Problem Set IV (Due Oct 10 at 11:59 PM on D2L)

Desmos Labs:

• Desmos Lab I — Vectors, Lines, Planes, and Quadrics (Solutions)

  • Part 1 — Three Points Make a Plane

  • Part 2 — Distance Between Two Lines

  • Part 3 — Quadric Surfaces

• Desmos Lab II — Vector-Valued Functions, Limits, and Tangents (Due Oct 10 at 11:59 PM on D2L)

Exams:

• Exam I (Solutions)

• Exam II is on Friday, Oct 17, at 10:00 AM in AF 103

• Exam III is on Friday, Nov 14, at 10:00 AM in AF 103