**Instructors:** Vladimir Chernov, Jack Petok, Michael R. Montgomery, Steve Fan.

**Course on canvas.dartmouth.edu.**⇗

## Syllabus

Course Summary: Date Details Mon Sep 12, 2022 2.1, 2.2: Coordinates and vectors in R^3, spheres Wed Sep 14, 2022 2.3, 2.4: Dot and cross products Fri Sep 16, 2022 2.5: Lines and planes Mon Sep 19, 2022 3.1, 3.2: Space curves and vector-valued functions Wed Sep 21, 2022 3.3, 3.4: Arclength and kinematics Fri Sep 23, 2022 4.1, 4.2: Functions of two variables Mon Sep 26, 2022 4.3: Partial derivatives Wed Sep 28, 2022 4.4: Tangent planes and linear approximations Fri Sep 30, 2022 4.5: Chain rule Mon Oct 3, 2022 4.6: Directional derivative and gradient Wed Oct 5, 2022 4.7: Maxima and minima Fri Oct 7, 2022 4.8 Lagrange multipliers Midterm Exam 1 4:30pm to 6:30pm Mon Oct 10, 2022 5.1: Double integrals over rectangles Wed Oct 12, 2022 5.2: General planar domains Fri Oct 14, 2022 5.4: Triple integrals Mon Oct 17, 2022 5.3, 5.5: Polar and cylindrical coordinates Wed Oct 19, 2022 5.5: Spherical coordinates Fri Oct 21, 2022 No class (day of caring) Mon Oct 24, 2022 5.7: Change of variable, Jacobians Wed Oct 26, 2022 6.1, 6.2: Vector fields, scalar line integrals Fri Oct 28, 2022 6.2: Vector line integrals Midterm Exam 2 4:30pm to 6:30pm Mon Oct 31, 2022 6.3: Fundamental theorem of line integrals Wed Nov 2, 2022 6.4: Green's theorem Fri Nov 4, 2022 6.5: Divergence and curl Mon Nov 7, 2022 6.6: Parametrized surfaces Wed Nov 9, 2022 6.6: Surface integrals Fri Nov 11, 2022 6.7: Stokes's theorem Mon Nov 14, 2022 6.8: Divergence theorem Wed Nov 16, 2022 6.9-6.11: Wrap up Tue Nov 22, 2022 Final Exam