Semester 1

15 weeks, 32 class meetings

Week Date # Topics
1 Aug 30 2 1.1 3-space; 1.2 Vectors; 1.3 Dot product;
2 Sep 6 1 1.4 Matrices and determinants;
3 Sep 13 2 1.5 Cross product; 1.6 Lines and planes
4 Sep 20 3 1.7 Cylindrical and Spherical Coordinates; Bonus lesson: Linear regression and projection; Group Work Unit 1;
5 Sep 27 2 2.1 Vector-valued functions; Test Unit 1;
6 Oct 4 2 2.2 Calculus of vector-valued functions; 2.3 Arc length;
7 Oct 11 2 2.4 Tangent, normal, binormal; 2.5 Motion (and Conics);
8 Oct 18 3 2.6 Polar conics; 2.7 Kepler’s Laws; 3.1 Functions of several variables;
9 Oct 25 2 3.2 Limits and continuity; Group Work Unit 2;
10 Nov 1 2 3.3 Partial derivatives; 3.4 Differentiability, tangent plane;
11 Nov 8 2 Test Unit 2; 3.5 Linear transformations, composition;
12 Nov 15 2 3.6 Chain rule; 3.7 Directional derivatives, gradient;
– Nov 22 - Thanksgiving Break
13 Nov 29 3 3.8 Level surfaces and tangent planes; Group Work Unit 3;
14 Dec 6 2 Test Unit 3 (asynchronous);
15 Dec 13 2  

Semester 2

18 weeks, 41 class meetings

Week Date # Topics
1 Jan 3 1 Classwork Review / Warmup;
2 Jan 10 3 4.1 Rotating axes; 4.2 Optimization; 4.3 Constrained optimization;
3 Jan 17 2 4.4 Lagrange Multipliers; Group Work Unit 4 (Fri Jan 21);
4 Jan 24 2 5.1 Double integrals; Test Unit 4 (Fri Jan 28);
5 Jan 31 2 5.2 More double integrals (non-rectangular regions);
6 Feb 7 2 5.3 More more double integrals (volumes); 5.4 Double integrals in polar coordinates;
7 Feb 14 2 5.5 Parametric Surfaces and Surface Area; 5.6 More surfaces (donut day);
8 Feb 21 2 5.7 Triple integrals; 5.8 Cylindrical/Spherical Coordinates;
9 Feb 28 3 5.9 Change of Variables; 5.10 Centers of Mass; 5.11 Disks and shells
10 Mar 7 2 5.12 Pappus’ Theorem; Group Work Unit 5 (Fri Mar 11);
11 Mar 14 2 Test Unit 5 (take home assignment);
12 Mar 21 2 Coding Day - parametric surfaces;
– Mar 28 - Spring Break
– Apr 4 - Spring Break
13 Apr 11 2 Special unit - Geometric Algebra
14 Apr 18 3 Special unit - Geometric Algebra
15 Apr 25 2 Special unit - Geometric Algebra
16 May 2 2 Special unit - Geometric Algebra
17 May 9 ? End of MultiV :(