Lecture notes (working draft)

Date Topics covered
2026-08-24 syllabus, arc length of graph curves
2026-08-26 arc length examples, intro to parametric curves
2026-08-28 arc length examples, converting between parametric and Cartesian form
2026-08-31 ellipse, parameterized curves: velocity, speed, direction, distance, and arc length
2026-09-02 arc length and distance examples
2026-09-04 smoothness, tangent lines, normal lines
2026-09-09 concavity of parameterized curves
2026-09-11 introduction to polar coordinates
2026-09-14 converting between polar and Cartesian form, sketching polar curves
2026-09-16 calculus with polar curves (slopes and areas)
2026-09-18 areas of regions enclosed by polar curves
2026-09-21 3D space, vectors
2026-09-23 circumference of Earth, vector algebra, dot product
2026-09-25 vector problems, vector projections
2026-09-28 vector projections
2026-09-30 force
2026-09-30 force
2026-10-02 how do we describe the tilt of a plane? cross product
2026-10-04 cross product, torque
2026-10-07 lines and planes in 3-dimensions
2026-10-09 planes in 3-dimensions
2026-10-12 plane geometry examples
2026-10-14 practice test
2026-10-19 quadric surfaces
2026-10-21 quadric surfaces - examples
2026-10-23 vector-valued functions
2026-10-26 curvature
2026-10-28 curvature, projectile motion (13.2, 13.5)
2026-10-30 projectile motion (13.2, 14.1)
2026-11-02 limits and continuity of multivariate function (chp 14.2)
2026-11-04 limits and continuity of multivariate function (chp 14.2)

Other links

syllabus

My old lecture notes from Spring 2025