Math 2415, Fall 2021

Calculus of Several Variables

Baris Coskunuzer, Rabin Dahal, Anatoly Eydelzon, and John Zweck



Important: Digital Homework is due every Wednesday at 11:59pm. See your WebAssign account which you can access via the eLearning Course MATH 2415.701.

There is also a Single Variable Calculus Review Homework on WebAssign that is due on Saturday Sept 18th at 11:59pm. There are 21 problems in this review, each worth 3 points towards your WebAssign grade. The problems have been chosen because they are directly relevant to topics that will be discussed in Math 2415.


Schedule
Week # Date Topic Section Problem Section PLTL Paper Hwk (PH) PH Due Date
0 - - - - - PH 0
(Calculus Review)
Sa 28 Aug
1 Tu 24 Aug


Th 26 Aug
Day 1
Vectors

Dot Product
12.1, 12.2


12.3
PS 1 PLTL 1 PH 1 Sa 4 Sep
2 Tu 31 Aug

Th 2 Sep
Cross Product

Lines&Planes
12.4

12.5
PS 2 PLTL 2 PH 2 Sa 11 Sep
3 Tu 7 Sep


Th 9 Sep
Planes

Cylindrical Coords
Spherical Coords
12.5

15.7
15.8
PS 3 PLTL 3 PH 3 Sa 18 Sep
4 Tu 14 Sep

Th 16 Sep
Quadric Surfaces

Curves: Sketching
12.6

13.1
PS 4 PLTL 4 PH 4 Sa 25 Sep
5 Tu 21 Sep



Th 23 Sep
Curves: Tangent,
Velocity, Arclength

Functions of 2&3 Variables
Partial derivatives
13.2
13.3

14.1
14.3
PS 5 PLTL 5 PH 5 Sa Oct 2
6 Tu 28 Sep



Th 30 Sep

Fr 1 Oct
Partial derivatives
Tangent Planes
Linear Approximation

Chain Rule

EXAM I
14.3
14.4


14.5

7pm
PS 6 PLTL 6
Omit 16.6
PLTL 7
PH 6 Sa 9 Oct
7 Tu 5 Oct



Th 7 Oct
Parametric Surfaces
(Excluding Area)

Directional Derivative
Gradient
16.6



14.6
PS 7 PLTL 6
(Only 16.6)
PLTL 8
(Only 14.6)
PH 7 Sa 16 Oct
8 Tu 12 Oct

Th 14 Oct
Local Max/Min

Global Max/Min
14.7

14.7
PS 8 PLTL 8
PLTL 9
(Only 14.7)
PH 8 Sa 23 Oct
9 Tu 19 Oct


Th 21 Oct
Lagrange Multipliers

Double Integrals
(Rectangles)
14.8


15.1
PS 9 PLTL 9
(Only 14.8)
PLTL 10
(Only 15.1)
PH 9 Sa 30 Oct
10 Tu 26 Oct


Th 28 Oct


F 29 Oct
Double Integrals
(General Regions)

Double Integrals
(Polar Coords)

EXAM II
15.2



15.3

7pm
PS 10 PLTL 10
(Only 15.2)
PLTL 11
(Only 15.3)
PH 10 Sa 6 Nov
11 Tu 2 Nov



Th 4 Nov
Triple Integrals
(Rect)

Triple Integrals
(Cyl, Sph)
15.6



15.7, 15.8
PS 11 PLTL 11
(Only 15.6)
PLTL 12
(Only 15.7&8)
PH 11 Sa 13 Nov
12 Tu 9 Nov




Th 11 Nov
Change of Variables
Theorem

Vector Fields (VFs)
Line Integrals of
Functions
15.9


16.1

16.2
PS 12 PLTL 12
(Only 15.9)
PLTL 13
(Only 16.1)
PH 12 Sa 20 Nov
13 Tu 16 Nov



Th 18 Nov
Line Integrals of VFs
FTC for Line Integrals

Conservative VFs
Green's Theorem
16.2
16.3

16.3
16.4
PS 13 PLTL 13
(Only 16.2)
PLTL 14
PH 13 Sa 4 Dec
- THANKSGIVING
WEEK
- - - - - -
14 Tu 30 Nov


Th 2 Dec
Curl and Divergence


Surface Integrals
16.5


16.7
PS 14 Review PH 14 NOT DUE
BUT DO
WEBASSIGN
15 Tu 7 Dec Stokes' Theorem
Gauss' Theorem
16.8
16.9
- No Hwk
Sat Dec 11,
5pm-7:45pm
FINAL EXAM