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 (updated 9/11 at 10:38 PM)

Videos and Desmos:

• Using GeniusScan to Upload Homework to D2L

• 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

• Vector-Valued 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)

Problem Sets:

• Problem Set I (Solutions)

• Problem Set II (Due Sep 12)

Desmos Labs:

• Desmos Lab I — Vectors, Lines, Planes, and Quadrics (Due Sep 17)

Exams:

• Coming Soon…