MATH-UA 123 Calculus III Section 5
Fall 2021 Calendar (subject to change)
Week Date Topics Links
1 9/8/2021 10.1: Coordinates
10.2: Vectors
Slides
Lecture
Recording
2 9/13/2021 10.3: Dot product
10.3: Orthogonal projection
Slides
Lecture
Recording
9/15/2021 10.4: Cross product
Slides
Lecture
Recording
3 9/20/2021 10.4: Volume of a parallelopiped
10.5: Equations of lines and planes
Slides
Lecture
Recording
9/22/2021 10.6: Cylinders and quadric surfaces
Slides
Lecture
Recording
4 9/27/2021 10.7: Parameterized curves
10.9: Velocity, speed, acceleration
10.8: Arclength
Slides (revised 9/29)
Lecture
Recording
9/29/2021 11.1: Functions of several variables
11.2: Continuity
11.3: Partial derivatives
Slides
Lecture
Recording
5 10/4/2021 11.2: Limits
11.3: Partial derivatives
11.4: Linear approximations, Tangent planes
Slides
Lecture
Recording
10/6/2021 11.4: Differentials
11.5: Chain rule
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Lecture
Recording
6 10/12/2021 (Tuesday!) 11.6: Directional derivatives and the gradient vector
11.7: Maximum and minimum values
Slides
Lecture
Recording
10/13/2021 11.7: Maximum and minimum values Slides
Lecture
Recording
7 10/18/2021 11.8: Lagrange multipliers Slides
Lecture
Recording
10/20/2021 12.1-12.2: Double integrals
12.5: Triple integrals
Slides
Lecture
Recording
8 10/25/2021 Midterm 1: 10.1-11.8
10/27/2021 12.1-12.2: Double integrals
12.5: Triple integrals
12.3: Polar coordinates
9 11/1/2021 12.3: Polar coordinates
12.6: Cylindrical coordinates
12.7: Spherical coordinates
11/3/2021 13.1: Vector fields
13.2: Line integrals
10 11/8/2021 13.2: Line integrals
13.3: Fundamental theorem of line integrals
11/10/2021 13.3: Fundamental theorem of line integrals
13.4: Green's theorem
11 11/15/2021 13.4: Green's theorem
11/17/2021 13.6: Parametric surfaces
13.7: Flux integrals
12 11/22/2021 Midterm 2: 12.1-13.3
11/24/2021 13.7: Flux integrals
13 11/29/2021 13.5 Curl
13.8 Stokes' Theorem
12/1/2021 13.8 Stokes' Theorem
14 12/6/2021 13.5: Divergence
13.9: Divergence Theorem
12/8/2021 13.4: Green's theorem
13.8: Stokes' Theorem
13.9: Divergence Theorem
15 12/13/2021 Review for final
TBA Final exam: Everything