Math 2415, Fall 2020

Calculus of Several Variables

Baris Coskunuzer, Changsong Li, and John Zweck


Important Reminders re the 14-day Assessment Cycle

Additional Info



Schedule
Cycle # Date Topic Section Problem Section PLTL Paper Hwk (PH) PH Due Date
0 Tu 18 Aug Syllabus
Intro to Remote Learning
PS 0
1 Th 20 Aug

Tu 25 Aug
Vectors

Dot Product
12.1, 12.2

12.3
PS 1 PLTL 1 PH 1 W 2 Sep
2 Th 27 Aug

Tu 1 Sep
Cross Product

Lines&Planes
12.4

12.5
PS 2 PLTL 2 PH 2 W 9 Sep
3 Th 3 Sep

Tu 8 Sep
Planes

Cylindrical Coords
Spherical Coords
12.5

15.7
15.8
PS 3 PLTL 3 PH 3 W 16 Sep
4 Th 10 Sep

Tu 15 Sep
Quadric Surfaces

Curves: Sketching
12.6

13.1
PS 4 PLTL 4 PH 4 W 23 Sep
5 Th 17 Sep


Tu 22 Sep
Curves: Tangent,
Velocity, Arclength

Functions of Several Variables
Partial derivatives
13.2
13.3

14.1
14.3
PS 5 PLTL 5 PH 5 W 30 Sep
6 Th 24 Sep




Tu 29 Sep
Partial derivatives
Tangent Planes
Linear Approximation


Chain Rule
14.3
14.4



14.5
PS 6 PLTL 6
Omit 16.6
PH 6 W 7 Oct
7 Th 1 Oct


Fr 2 Oct

Tu 6 Oct
Directional Derivative
Gradient

EXAM I

Local Max/Min
14.6


7pm

14.7
PS 7 PLTL 7 PH 7 W 14 Oct
8 Th 8 Oct

Tu 13 Oct
Global Max/Min

Lagrange Multipliers
14.7

14.8
PS 8 PLTL 8 PH 8 W 21 Oct
9 Th 15 Oct


Tu 20 Oct
Lagrange Multipliers
Double Integrals
(Rectangles)

Double Integrals
(General Regions)
14.8
15.1


15.2
PS 9 PLTL 9 PH 9 W 28 Oct
10 Th 22 Oct


Tu 27 Oct
Double Integrals
(Polar Coords)

Triple Integrals
(Rect)
15.3


15.6
PS 10 PLTL 10 PH 10 W 4 Nov
11 Th 29 Oct



Tu 3 Nov
Triple Integrals
(Cyl, Sph)


Vector Fields (VFs)
Line Integrals of Functions
15.7
15.8


16.1
16.2
PS 11 PLTL 11 PH 11 W 11 Nov
12 Th 5 Nov


F 6 Nov

Tu 10 Nov
Line Integrals of VFs
FTC for Line Integrals


EXAM II

Conservative VFs
Green's Theorem
16.2
16.3


7pm

16.3
16.4
PS 12 PLTL 12
Omit 15.9
PH 12 W 18 Nov
13 Th 12 Nov


Tu 17 Nov
Curl and Divergence


Surface Parameterizations
16.5


16.6
PS 13 PLTL 13 PH 13 W 25 Nov
14 Th 19 Nov


Tu 24 Nov
Surface Integrals


Stokes' Theorem
Gauss' Theorem
16.7


16.8
16.9
PLTL 14
+#6: 16.6
No Hwk
F Dec 4 FINAL EXAM 1pm