Syllabus Tentative Schedule Tests 
Math
2A
Multivariate Calculus
Fall 2007 

Math 2A Tentative Schedule Fall 2007 


Tuesday 
Wednesday 
Thursday 
Friday 

8/27 8/31 
9.1 Three Dimensional Coordinate Systems 
9.2 Vectors 
9.3 The Dot Product 
9.4 The Cross Product 
9.5 Equations of Lines and Planes 1, 3, 8, 12, 13, 15, 17, 19, 23, 27, 29, 33, 40, 43, 45, 47, 49, 51, 53, 56 
9/4 9/7 
Labor Day 
9.6 Functions and Surfaces 
9.7 Cylindrical and Spherical Coordinates 
Families of Surfaces 
Review 
9/10 9/14 
Review 
Chapter 9 test 
10.1 Vector Functions
and Space Curves 
10.2 Derivatives and
Integrals of Vector Functions 
10.3 Arc Length and Curvature 4, 8, 12, 32, 38, 42, 49 
9/17 9/21 
10.4 Motion in Space 
10.5 Parametric
Surfaces 
Review: 
Review 
Review 
9/24 9/28 
Review 
Chapter 10 Test. 
11.1 Functions of Several Variables 
11.2 Limits and
Continuity 
11.3 Partial Derivatives 
10/1 10/5 
11.4 Tangent Planes and Linear Approximations 
11.5 The Chain Rule 
11.6 Directional Derivatives and the
Gradient Vector 
11.7 Maximum and Minimum Values 
Designing a Dumpster 
10/8 10/12 
Quadratic Approximations and Critical Points 
11.8 Lagrange Multipliers 
Rocket Science 
HydroTurbine Optimization 
Review 
10/15 10/19 
Review 
Chapter 11 Test 
12.1 Double Integrals over Rectangle 
12.2 Iterated Integrals 
12.3 Double Integrals over General
Regions 
10/22 10/26 
12.4 Double Integrals in Polar
Coordinates 
12.5 Applications of Double Integrals 
12.6 Surface Area 
12.7 Triple Integrals 
12.8 Triple Integrals in
Cylindrical and Spherical Coordinates 
10/29 11/1 
Roller 
Intersection of Three
Cylinders 
12.9 Change of Variables in Multiple
Integrals 
Review 
Review 
11/5 11/9 
Review 
Chapter 12 Test 
13.1 Vector Fields 
13.2 Line Integrals 
13.3 The Fundamental Theorem for Line
Integrals 
11/12 11/16 

13.4 Green's Theorem 
13.5 Curl and Divergence 
13.6 Surface Integrals 
13.6 Surface Integrals 
11/19 11/23 
13.7 Stokes Theorem 
13.7 Stokes Theorem 
13.8 The
Divergence Theorem 
Thanksgiving 
Thanksgiving 
11/26 11/30 
13.8 The Divergence Theorem 
13.9 Summary 
Review 
Review 

12/3 12/7 
Review 
Chapter 13 Test 
Review 
Review 
Review 
12/10  12/12 
Review 


Final Exam 
