Math 2415, Fall 2023

Calculus of Several Variables

Baris Coskunuzer, Raja Khoury, and John Zweck



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


Schedule
Week # Date Topic Section Problem Section Paper Hwk (PH) PH Due Date
0 - - - - PH 0
(Calculus Review)
Sa 26 Aug
1 Tu 22 Aug


Th 24 Aug
Day 1
Vectors

Dot Product
12.1, 12.2


12.3
PS 1 PH 1 Sa 2 Sep
2 Tu 29 Aug

Th 31 Aug
Cross Product

Lines&Planes
12.4

12.5
PS 2 PH 2 Sa 9 Sep
3 Tu 5 Sep


Th 7 Sep
Planes

Cylindrical Coords
Spherical Coords
12.5

15.7
15.8
PS 3 PH 3 Sa 16 Sep
4 Tu 12 Sep

Th 14 Sep
Quadric Surfaces

Curves: Sketching
12.6

13.1
PS 4 PH 4 Sa 23 Sep
5 Tu 19 Sep



Th 21 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 Sep 30
6 Tu 26 Sep



Th 28 Sep

Fr 29 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 7 Oct
7 Tu 3 Oct




Th 5 Oct
Chain Rule
Parametric Surfaces


Parametric Surfaces
(Excluding Area)
14.5
16.6



16.6
PS 7 PH 7 Sa 14 Oct
8 Tu 10 Oct


Th 12 Oct
Directional Derivative
Gradient

Local Max/Min
14.6


14.7
PS 8 PH 8 Sa 21 Oct
9 Tu 17 Oct


Th 19 Oct
Global Max/Min


Lagrange Multipliers
14.7


14.8
PS 9 PH 9 Sa 28 Oct
10 Tu 24 Oct



Th 26 Oct
Double Integrals
(Rectangles)

Double Integrals
(General Regions)
15.1



15.2
PS 10

No CQ
PH 10 Sa 4 Nov
11 Tu 31 Oct


Th 2 Nov


Fr 3 Nov
Double Integrals
(Polar Coords)

Triple Integrals
(Rect)

EXAM II
15.3


15.6


7pm
PS 11

No CQ
PH 11 Sa 11 Nov
12 Tu 7 Nov



Th 9 Nov
Triple Integrals
(Cyl, Sph)

Change of Variables
Theorem
15.7&15.8



15.9
PS 12 PH 12 Sa 18 Nov
13 Tu 14 Nov




Th 16 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 2 Dec
- THANKSGIVING
WEEK
- - - - -
14 Tu 28 Nov


Th 30 Nov
Conservative VFs
Green's Theorem

Curl and Divergence
16.3
16.4

16.5
PS 14 PH 14 Th Dec 7
15 Tu 5 Dec


Th 7 Dec
Surface Integrals

Stokes' Theorem
Gauss' Theorem
16.7

16.8
16.9
NO PS THIS WEEK

Review

Solutions
No Hwk -
Mon Dec 11

7pm-9:45pm
FINAL EXAM