Day

Topic

Practice Problems

 

Chapter  11  - Vectors and the Geometry of Space

 

19 Aug

 Course Intro

 

 

11.1 Vectors in the Plane

EOO 1-94

 

11.2 Space Coordinates and Vectors in Space

EOO 1-115

21 Aug

11.3 The Dot Product of Two Vectors

EOO 1-85

 

11.4 The Cross Product of Two Vectors in Space

EOO 1-48

26 Aug

11.5 Lines and Planes in Space

EOO 1-100

 

11.6 Surfaces in Space

EOO 1-65

28 Aug

11.7 Cylindrical and Spherical Coordinates

EOO 1-112

2 Sep

Review Chapter 11

 

 

12.1 Vector-Valued Functions

EOO 1-80

4 Sep

Test 1 - Chapter 11

 

 

 

 

 

Chapter  12  - Vector-Valued Functions

 

9 Sep

12.2 Differentiation and Integration of Vector-Valued Functions

EOO 1-82

 

12.3 Velocity and Acceleration

EOO 1-55

11 Sep

12.4 Tangent Vectors and Normal Vectors

EOO 1-78

 

12.5 Arc Length and Curvature

EOO 1-54

16 Sep

Review Chapter 12

 

 

13.1 Introduction to Functions of Several Variables

EOO 1-75

18 Sep

Test 2 - Chapter 12

 

 

 

 

 

Chapter  13  -  Functions of Several Variables

 

23 Sep

13.2 Limits and Continuity

EOO 1-54

 

13.3 Partial Derivatives

EOO 1-101

 

13.4 Differentials

EOO 1-40

25 Sep

13.5 Chain Rules for Functions of Several Variables

EOO 1-57

 

13.6 Directional Derivatives and Gradients

EOO 1-64

30 Sep

13.7 Tangent Planes and Normal Lines

 

 

13.8 Extrema of Functions of Two Variables

EOO 1-61

2 Oct

13.9 Applications of Extrema of Functions of Two Variables

EOO 1-61

 

13.10 Lagrange Multipliers

EOO 1-48

7 Oct

No Class Project Success Day

EOO 1-44

9 Oct

Review Chapter 13

 

 

14.1 Iterated Integrals and Area in the Plane

EOO 1-74

14 Oct

Test 3 – Chapter 13

 

 

 

 

 

Chapter  14  - Multiple Integration

 

16 Oct

14.2 Double Integrals and Volume

EOO 1-74

 

14.3 Change of Variables: Polar Coordinates

EOO 1-61

21 Oct

14.4 Center of Mass and Moments of Inertia

EOO 1-58

 

14.5 Surface Area

EOO 1-39

23 Oct

14.6 Triple Integrals and Applications

EOO 1-69

 

14.7 Triple Integrals in Cylindrical and Spherical Coordinates

EOO 1-46

28 Oct

14.8 Change of Variables: Jacobians

EOO 1-30

 

Review Chapter 14

 

 

15.1 Vector Fields

EOO 1-76

 

15.2 Line Integrals

EOO 1-69

30 Oct

Test 4 – Chapter 14

 

 

 

 

 

Chapter    15  - Vector Analysis

 

4 Nov

15.3 Conservative Vector Fields and Independence of Path

EOO 1-40

 

15.4 Green's Theorem

EOO 1-45

6 Nov

15.5 Parametric Surfaces

EOO 1-52

 

15.6 Surface Integrals

EOO 1-42

11 Nov

15.7 Divergence Theorem

EOO 1-18

 

15.8 Stoke's Theorem

EOO 1-58

13 Nov

Review

 

 

4.1 – 4.2 (LA)Vector Subspaces

 

 

4.3 (LA) Linear Combinations of Vectors

 

18 Nov

Test 5 - Chapter 15

 

 

 

 

 

Linear Algebra

 

 

 

 

20 Nov

4.4 (LA) Dependence and Independence

 

 

4.5 (LA)Basis and Dimension

 

 

4.6 (LA) Rank of a Matrix

 

 

4.7 (LA) Eigenvalues and Eigenvectors

 

25 Nov

7.1 (LA) Linear Transformations

 

 

7.2 (LA) Matrix Transformations

 

 

7.3 (LA) Kernel and Range

 

2 Dec

Review (Linear Algebra)

 

4 Dec

Test

 

9 Dec

Course Review

 

11 Dec

Final Exam