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Mth 254H - Winter 2013

Location: STAG 233, M,W, F 1:00-1:50, F 12:00-12:50
Instructor: Dennis Garity, Kidder 298B, 737 5138
garity at math dot oregonstate dot edu
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Course material Material:
Text:

Required: Briggs-Cochran Calculus
Required: MyMathLab code
Required: Mathematics Department Mth 254 Vector Calculus I Study Guide (Available on Blackboard)

Topics:

We will be covering most of Chapters 11 through 13 in the text and will cover additional material and applications as time permits.

Lesson 1: Coordinate Systems, (10.2, 13.5)
Lesson 2: Vectors in the Plane and in 3-Space,
(11.1, 11.2)
Lesson 3: Dot Products, 11.3
Lesson 4: Cross Products, 11.4
Lesson 5: Lines & Curves; Calculus on Curves,
11.5, 11.6
Lesson 6: Motion in Space, 11.7
Lesson 7: Lengths of Curves, 11.8
Lesson 8: Curvature and Normal Vectors, 11.9
Lesson 9: Planes and Surfaces, 12.1
Lesson 10: Graphs and Level Curves, 12.2
Lesson 11: Limits and Continuity, 12.3
Lesson 12: Partial Derivatives, 12.4
Lesson 13: The Chain Rule, 12.5
Lesson 14: Directional Derivatives and the Gradient, 12.6
Lesson 15: Tangent Planes, Linear Approximation, 12.7
Lesson 16: Maximum/Minimum Problems, 12.8
Lesson 17: Lagrange Multipliers, 12.9
Lesson 18 : Double Integrals on Rectangular
Regions, 13.1
Lesson 19: Double Integrals over General Regions,
13.2
Lesson 20: Double Integrals in Polar Coordinates,
13.3
Lesson 21: Triple Integrals, 13.4
Lesson 22 : Triple Integrals: Cylindrical & Spherical,
13.5
Lesson 23: Integrals for Mass Calculations, 13.6
Lesson 24: Change of Variables in Multiple Integrals,
13.7

 

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