Math 2415, Spring 2023

Calculus of Several Variables

Mohammad Akbar, Baris Coskunuzer, 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 Feb 11th 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 21 Jan
1 Tu 17 Jan


Th 19 Jan
Day 1
Vectors

Dot Product
12.1, 12.2


12.3
PS 1 PH 1 Sa 28 Jan
2 Tu 24 Jan

Th 26 Jan
Cross Product

Lines&Planes
12.4

12.5
PS 2 PH 2 Sa 11 Feb
- ICE STORM - - - - -
3 Tu 7 Feb


Th 9 Feb
Planes

Cylindrical Coords
Spherical Coords
12.5

15.7
15.8
PS 3 PH 3 Sa 18 Feb
4 Tu 14 Feb

Th 16 Feb
Quadric Surfaces

Curves: Sketching
12.6

13.1
PS 4 PH 4 Sa 25 Feb
5 Tu 21 Feb



Th 23 Feb
Curves: Tangent,
Velocity, Arclength

Functions of 2&3 Variables
Partial derivatives
13.2
13.3

14.1
14.3
PS 5 PH 5 Sa 4 Mar
6 Tu 28 Feb



Th 2 Mar

Fr 3 Mar
7pm-8:15pm
ECSW 1.315
Partial derivatives
Tangent Planes
Linear Approximation

Chain Rule

EXAM I
14.3
14.4


14.5

PS 6

No CQ
PH 6 Sa 11 Mar
7 Tu 7 Mar




Th 9 Mar
Chain Rule
Parametric Surfaces


Parametric Surfaces
(Excluding Area)
14.5
16.6



16.6
PS 7 PH 7 Sa 25 Mar
- SPRING BREAK - - - - -
8 Tu 21 Mar


Th 23 Mar
Directional Derivative
Gradient

Local Max/Min
14.6


14.7
PS 8 PH 8 Sa 1 Apr
9 Tu 28 Mar


Th 30 Mar
Global Max/Min


Lagrange Multipliers
14.7


14.8
PS 9 PH 9 Sa 8 Apr
10 Tu 4 Apr



6 Apr
Double Integrals
(Rectangles)

Double Integrals
(General Regions)
15.1



15.2
PS 10

No CQ
PH 10 Sa 15 Apr
11 Tu 11 Apr


Th 13 Apr


Fr 14 Apr
7pm-8:15pm
ECSW 1.315
Double Integrals
(Polar Coords)

Triple Integrals
(Rect)

EXAM II
15.3


15.6


PS 11

No CQ
PH 11 Sa 22 Apr
12 Tu 18 Apr



Th 20 Apr
Triple Integrals
(Cyl, Sph)

Change of Variables
Theorem
15.7&15.8



15.9
PS 12 PH 12 Sa 29 Apr
13 Tu 25 Apr




Th 27 Apr
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 6 May
14 Tu 2 May


Th 4 May
Conservative VFs
Green's Theorem

Curl and Divergence
16.3
16.4

16.5
PS 14
Mon May 8

8pm-10:45pm
ECSW 1.315
FINAL EXAM