·         Week 1  Sections 12.1-12.3 ( 3D coordinate system, vectors, dot and cross product)

·         Week 2  Sections  12.4 -12.5, 13.1  (equations of line and plane,  vector functions,

·        Week 3  Sections 13.2,13.3, 14.1  (vector-functions and space curves, arc length , functions of several variables)

·    Week 4  Sections 14.2-14.4 (limits and continuity, partial derivatives, tangent planes and linear approximation)

·        Week 5  Sections 14.5-14.7 (the chain rule, directional derivatives, maximum and minimum)

·         Week 6  Sections 14.8, 15.1,15.2 (Lagrange multipliers, double integrals, iterated integrals)

·         Week 7  Sections 15.3-15.5 (double integrals over general regions, double integrals in polar coordinates, applications)

·         Week 8  Sections 15.6—15.8 (triple integrals, triple integrals in cylindrical and spherical coordinates)

·         Week 9   Sections  15.9,  16.1 (change of variables , vector fields)

·         Week 10  Sections   16.2,  16.3 (line integral, fundamental theorem for line integrals)

·         Week 11  Sections  16.4  (Greens formula and applications )

·         Week 12  Sections  16.5 16.6  (curl and divergence, parametric surfaces and the area)

·         Week 13  Section    16.7  Surface integrals

·         Week 14  Sections  16.8,  16.9 (Stokes theorem  divergence theorem)

·         Week 15   Applications of Stokes and divergence theorems.