Math 2110 Outline

 

Week # Date Section(s) Topic(s)

1

Aug 29-Sept 2

12.1

12.2

12.3

12.4

12.6

Three-Dimensional Coordinates

Vectors

The Dot Product

The Cross Product

Cylinders and Quadric Surfaces

2

Jan 25-29

12.5, 12.6, 13.1

Lines and Planes, Cylinders and Quadric Surfaces, Vectors and Space Curves

3

Feb 1-5

13.2, 13.3, 13.4

Derivatives/Integrals of Vector Functions, Arc Length and Curvature, Velocity and Acceleration

4

Feb 8-12

14.1, 14.2, 14.3

Functions of Several Variables, Limits and Continuity, Partial Derivatives

5

Feb 15-19

Review, Exam 1, 14.4

Exam 1 covers 12.1-14.3, Tangent Planes, Linear Approximation

6

Feb 22-26

14.5, 14.6, 14.7

The Chain Rule, Directional Derivatives, Gradient Vector, Maximum and Minimum Values

7

Feb 29-Mar 4

14.8, 15.1, 15.2

Lagrange Multipliers, Double Integrals over Rectangles, Iterated Integrals

8

Mar 7-11

15.3, 15.4, 15.5

Double Integrals over General Regions, Double Integrals in Polar Coordinates, Applications of Double Integrals

Mar 14-18

Spring Break

9

Mar 21-25

15.6, Review, Exam 2

Surface Area, Exam 2 covers 14.4-15.6

10

Mar 28-Apr 1

15.7, 15.8, 15.9

Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates

11

Apr 4-8

15.10, 16.1, 16.2

Change of Variables, Vector Fields, Line Integrals

12

Apr 11-15

16.3, 16.4, 16.5

Fundamental Theorem of Line Integrals, Green’s Theorem, Curl and Divergence

13

Apr 18-22

16.6, 16.7, 16.8

Parametric Surfaces, Surface Integrals, Stokes’ Theorem

14

Apr 25-29

16.9, Review

Divergence Theorem

May 2-7

Final Exam Week

Date/Time TBD