Topics and Assignments

 Week of Topics Suggested Practice Problems Jan 19 Functions of Two Variables: 12.1 Graphs of Functions of Two Variables: 12.2 Section 12.1:# 1,5,7,11,19,22,25,27,31 Section 12.2:# 1,2,5,8,9,13,17,21 Jan 26 Contour Diagrams: 12.3 Linear Functions: 12.4 Functions of Three Variables: 12.5 Section 12.3:# 1,3-5,7,10,17,28,30 Section 12.4:# 1,7-9,11,13,15,20,25 Section 12.5:# 1,7,8,12,19 Feb 2 Displacement Vectors: 13.1 Vectors in General: 13.2 The Dot Product: 13.3 Section 13.1: # 1-7 odd,11,13,15,19,21,22,24,30,34 Section 13.2: # 7-13 odd, 24 Section 13.3: # 1,5,7,11-15odd,16,18,20,21,24,25,29,31,41 Feb 9 The Cross Product: 13.4 The Partial Derivative: 14.1 Computing Partial Derivatives Algebraically: 14.2 Section 13.4: # 1,3,5,7,14,19,21,23 Section 14.1: # 1,3,7,8,15,21 Section 14.2: # 1-10,19,25,29,35,36,39 Feb 16 Local Linearity and the Differential: 14.3 Section 14.3: # 1-7,13,14,18 Feb 23 Gradients and Directional Derivatives in the Plane: 14.4 Gradients and Directional Derivatives in the Space: 14.5 The Chain Rule: 14.6 Section 14.4: #1,3,15-21odd,25,28,29,32-38,52,53,55,66 Section 14.5: #1-19odd, 23,24,27 Section 14.6: #1-13odd,19,27,28 March 2 Second Order Partial Derivatives: 14.7 Local Extrema: 15.1 Constrained Optimization: Lagrange Multipliers: 15.3 Section 14.7: # 1-9odd, 35 Section 15.1: # 2-11, 19 Section 15.3: # 1-9odd, 28 March 9 The Definite Integral of a Function of Two Variables: 16.1 Iterated Integrals: 16.2 Section 16.1: # 1,3,5,9,11,23 Section 16.2: # 1-21odd,27-31odd,32,35,39,41 March 23 Triple Integrals: 16.3 Double Integrals in Polar Coordinates: 16.4 Integrals in Cylindrical and Spherical Coordinates: 16.5 Section 16.3: # 1-4,5-13odd,15,19,21,23 Section 16.4: # 1-5,7,11-20 Section 16.5: # 2-5,14-18,22-24,28,29,30 March 30 Parameterized Curves: 17.1 Section 17.1: # 1,3,13,15,19,21,27,31,34,45,47,51,57 April 6 Motion, Velocity and Acceleration: 17.2 Vector Fields: 17.3 The flow of a vector field: 17.4 Section 17.2: # 1,3,5,7,9-11,15,17,26 Section 17.3: # 1,3,7,9,13 Section 17.4: # 1-9. April 13 The Idea of a Line Integral: 18.1 Computing Integrals over Parameterized Curves: 18.2 Section 18.1: #1,2-14,16 Section 18.2: #1-17 April 20 Gradient Fields and Path-Independent Fields: 18.3 Path-Dependent Vector Fields and Green's Theorem: 18.4 Section 18.3: # 3-5,11,16,18,19,21-24,32 Section 18.4: # 1-12, 16,17,18,21,23 April 27 Review