Math 2415, Fall 2022

Calculus of Several Variables

Baris Coskunuzer, Rabin Dahal, 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 Sep 10th 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 Paper Hwk (PH) PH Due Date
0 - - - - PH 0
(Calculus Review)
Sa 27 Aug
1 Tu 23 Aug


Th 25 Aug
Day 1
Vectors

Dot Product
12.1, 12.2


12.3
PS 1 PH 1 Sa 3 Sep
2 Tu 30 Aug

Th 1 Sep
Cross Product

Lines&Planes
12.4

12.5
PS 2 PH 2 Sa 10 Sep
3 Tu 6 Sep


Th 8 Sep
Planes

Cylindrical Coords
Spherical Coords
12.5

15.7
15.8
PS 3 PH 3 Sa 17 Sep
4 Tu 13 Sep

Th 15 Sep
Quadric Surfaces

Curves: Sketching
12.6

13.1
PS 4 PH 4 Sa 24 Sep
5 Tu 20 Sep



Th 22 Sep
Curves: Tangent,
Velocity, Arclength

Functions of 2&3 Variables
Partial derivatives
13.2
13.3

14.1
14.3
PS 5 PH 5 Sa Oct 1
6 Tu 27 Sep



Th 29 Sep

Fr 30 Sep
Partial derivatives
Tangent Planes
Linear Approximation

Chain Rule

EXAM I
14.3
14.4


14.5

7pm
PS 6

No CQ
PH 6 Sa 8 Oct
7 Tu 4 Oct




Th 6 Oct
Chain Rule
Parametric Surfaces


Parametric Surfaces
(Excluding Area)
14.5
16.6



16.6
PS 7 PH 7 Sa 15 Oct
8 Tu 11 Oct


Th 13 Oct
Directional Derivative
Gradient

Local Max/Min
14.6


14.7
PS 8 PH 8 Sa 22 Oct
9 Tu 18 Oct


Th 20 Oct
Global Max/Min


Lagrange Multipliers
14.7


14.8
PS 9 PH 9 Sa 29 Oct
10 Tu 25 Oct



Th 27 Oct
Double Integrals
(Rectangles)

Double Integrals
(General Regions)
15.1



15.2
PS 10

No CQ
PH 10 Sa 5 Nov
11 Tu 1 Nov


Th 3 Nov


Fr 4 Nov
Double Integrals
(Polar Coords)

Triple Integrals
(Rect)

EXAM II
15.3


15.6


7pm
PS 11

No CQ
PH 11 Sa 12 Nov
12 Tu 8 Nov



Th 10 Nov
Triple Integrals
(Cyl, Sph)

Change of Variables
Theorem
15.7&15.8



15.9
PS 12 PH 12 Sa 19 Nov
13 Tu 15 Nov




Th 17 Nov
Vector Fields (VFs)
Line Integrals of
Functions

Line Integrals of VFs
FTC for Line Integrals
16.1
16.2


16.2
16.3
PS 13 PH 13 Sa 3 Dec
- THANKSGIVING
WEEK
- - - - -
14 Tu 29 Nov


Th 1 Dec
Conservative VFs
Green's Theorem

Curl and Divergence
16.3
16.4

16.5
PS 14 PH 14 Th Dec 8
15 Tu 6 Dec


Th 8 Dec
Surface Integrals

Stokes' Theorem
Gauss' Theorem
16.7

16.8
16.9
Review

Solutions
No Hwk -
Sat Dec 10

5pm-7:45pm
FINAL EXAM