MATHEMATICS 230
Calculus II

Dr. John Bukowski  (my office hours)

Spring 2018

### PLEASE NOTE: These problem numbers are from the new 7th edition of the textbook. If you have the old 6th edition, you will need to consult the Correlation Guide found on the P drive.

Course Outline with Homework Problems :

This outline is time-permitting and subject to change.

Note:  These homework problems are NOT to be turned in.

 Section Topic Homework Problems Chapter 12 Functions of Several Variables 12.1 Functions of Two Variables 20, 22, 26, 29, 31, 36, 38; 1, 4, 5, 12, 15, 18, 19, 44, 49, 50 12.2 Graphs and Surfaces 1-4, 5, 7, 8, 11, 12, 15, 20-22, 28, 34, 35, 37, 39 12.3 Contour Diagrams 2, 3, 4, 16, 20, 32a; 5, 7, 9, 14, 18, 24, 37 12.4 Linear Functions 1, 3-6, 8, 10, 13, 14, 15, 16, 21, 26, 39, 41 12.5 Functions of Three Variables 1, 2, 3, 5, 7, 8-11, 13, 15, 18, 19, 28 12.6 Limits and Continuity 1-4, 6, 7-10, 12, 15, 17, 20, 25 Chapter 13 A Fundamental Tool: Vectors 13.1 Displacement Vectors 2, 4, 6, 7, 10, 11, 17, 19, 22, 25, 29, 31, 35, 37, 40, 41 13.2 Vectors in General 6-10, 11, 16, 17, 18, 20, 24 13.3 The Dot Product 1, 3, 9, 11, 13, 15, 17, 18, 19, 22, 24, 25, 35, 38, 41, 42ab, 44, 45, 54; 58, 61, 65, 66 13.4 The Cross Product 5, 9, 11, 20, 24, 25, 27, 34, 38 Chapter 14 Differentiating Functions of Several Variables 14.1 The Partial Derivative 1, 3, 4, 6, 8, 10-12, 15, 16-19, 21, 22, 26, 29, 30, 33, 34, 36 14.2 Computing Partial Derivatives Algebraically 2, 3, 4, 12, 13, 18, 19, 26, 28, 34, 44, 58 14.3 Local Linearity and the Differential 1, 2, 4, 7, 9, 10, 14, 26, 28, 35 14.4 Gradients and Directional Derivatives in the Plane 29-34, 77-80; 45, 47, 1, 2, 4, 7, 15, 17, 35, 36, 39, 40, 70, 75, 82 14.5 Gradients and Directional Derivatives in Space 2, 3, 12, 13, 16, 18, 20, 21, 24, 25, 27, 31, 33, 36, 39, 40, 54, 69 14.6 The Chain Rule 1, 2, 5, 7, 11, 14, 19, 27, 28, 29, 35 14.7 Second Order Partial Derivatives 1, 3, 5, 7, 23, 25, 27, 29, 45; 13, 15, 41, 42, 49, 50, 64 14.8 Differentiability 1, 2, 3, 5, 8, 9 Chapter 15 Optimization 15.1 Critical Points: Local Extrema and Saddle Points 2, 3, 34, 35; 8, 11, 14, 21, 22, 27, 30, 33, 37, 41 15.2 Optimization 2, 3, 4, 12, 15, 16, 17, 27, 30 15.3 Constrained Optimization: Lagrange Multipliers 1, 5, 7, 8, 13, 18, 19, 26, 28, 30 Chapter 16 Integrating Functions of Several Variables 16.1 The Definite Integral of a Function of Two Variables 1, 4, 5, 8-12, 15 16.2 Iterated Integrals 1, 2, 5, 6, 7, 11, 58; 13, 15, 16, 21, 22, 24, 26, 43, 46, 67 16.3 Triple Integrals 2, 3, 4, 6, 7, 9, 11, 21, 22, 23, 24, 26, 27, 41, 44, 45, 46, 48, 50, 58, 62 16.4 Double Integrals in Polar Coordinates 1-4, 6, 8, 9, 11, 14, 17, 18, 19, 21, 30, 31, 33 16.5 Integrals in Cylindrical and Spherical Coordinates 2, 3, 5, 6, 8-11, 13-16, 29, 32, 35, 43 Chapter 17 Parameterization and Vector Fields 17.1 Parameterized Curves 1-6, 8, 11, 13, 21, 25, 27, 33, 47, 49, 51, 54 17.2 Motion, Velocity, and Acceleration 1, 3, 5, 7, 9, 10, 11, 17, 18, 19, 21, 26 Chapter 21 Parameters, Coordinates, and Integrals 21.1 Coordinates and Parameterized Surfaces 21.2 Change of Coordinates in a Multiple Integral 1, 3, 4, 5, 10, 11, 14

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