MATH 21300: Suggested Textbook Homework Problems
Text: Calculus Early Transcendentals (9th ed.), Stewart, et al.
Chapter 12: Vectors and the Geometry of Space
Section 12.2: Vectors
- Problems: 3, 7, 11, 15, 19, 21, 23, 27, 29, 43, 47
Section 12.3: The Dot Product
- Problems: 3, 7, 9, 17, 19, 23, 29, 39, 43, 45, 61
Section 12.4: The Cross Product
- Problems: 3, 7, 15, 19, 27, 29, 31, 33, 35, 43
Section 12.5: Equations of Lines and Planes
- Problems: 3, 5, 9, 11, 13, 17, 19, 21, 23, 25, 27, 29, 33, 35, 39, 53, 55, 57, 69, 71, 73
Section 12.6: Cylinders and Quadric Surfaces
- Problems: 3, 5, 7, 15, 19, 21, 25, 27, 39
Chapter 14: Partial Derivatives
Section 14.1: Functions of Several Variables
- Problems: 3, 5, 9, 11, 13, 33, 45, 49, 55, 61, 65, 69
Section 14.2: Limits and Continuity
- Problems: 5, 7, 11, 13, 15, 17, 21, 23, 25, 31, 33, 43, 45, 49
Section 14.3: Partial Derivatives
- Problems: 5, 11, 15, 23, 29, 31, 33, 37, 41, 43, 49, 51, 59, 61, 79, 87, 95
Section 14.4: Tangent Planes and Linear Approximations
- Problems: 1, 5, 7, 9, 17, 19, 21, 23, 27, 33, 35, 41, 43, 45, 51
Section 14.5: The Chain Rule
- Problems: 3, 5, 7, 9, 13, 15, 17, 25, 29, 31, 37, 39, 45, 53
Section 14.6: Directional Derivatives and the Gradient Vector
- Problems: 5, 7, 9, 11, 13, 15, 19, 21, 23, 29, 31, 35, 37, 49, 51, 61, 69
Section 14.7: Maximum and Minimum Values
- Problems: 5, 7, 9, 11, 13, 17, 19, 21, 33, 35, 39, 45, 51
Chapter 15: Multiple Integrals
Section 15.1: Double Integrals over Rectangles
- Problems: 1, 9, 11, 13, 15, 17, 19, 21, 23, 27, 31, 33, 37, 43, 45, 49, 53
Section 15.2: Double Integrals over General Regions
- Problems: 3, 5, 9, 11, 13, 19, 21, 23, 27, 31, 33, 37, 39, 43, 45, 47, 57, 61, 63, 71
Section 15.3: Double Integrals in Polar Coordinates
- Problems: 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 35, 41, 49
Section 15.4: Applications of Double Integrals
- Problems: 1, 3, 5, 7, 9, 11, 13, 15, 19
Section 15.6: Triple Integrals
- Problems: 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 31, 33, 35, 37, 45, 49, 51, 57
Section 15.7: Triple Integrals in Cylindrical Coordinates
- Problems: 3, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31
Section 15.8: Triple Integrals in Spherical Coordinates
- Problems: 3, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, 39
Chapter 10: Parametric Equations and Polar Coordinates
Section 10.1: Curves Defined by Parametric Equations
- Problems: 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 27, 37, 41, 45, 57
Chapter 13: Vector Functions
Section 13.1: Vector Functions and Space Curves
- Problems: 1, 7, 13, 15, 17, 21, 25, 27, 35, 39, 51, 53, 57
Section 13.2: Derivatives and Integrals of Vector Functions
- Problems: 1, 3, 7, 9, 11, 17, 19, 21, 25, 27
Section 13.3: Arc Length and Curvature
- Problems: 1, 3, 5, 7, 13, 15, 17
Chapter 16: Vector Calculus
Section 16.1: Vector Fields
- Problems: 3, 5, 7, 13, 17, 21, 25, 33, 35, 37
Section 16.2: Line Integrals
- Problems: 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 27, 35, 39, 41, 43, 45, 49
Section 16.3: The Fundamental Theorem for Line Integrals
- Problems: 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 29, 37, 39, 41
Section 16.4: Green's Theorem
- Problems: 3, 5, 7, 9, 11, 13, 15, 17, 21, 29
Section 16.5: Curl and Divergence
- Problems: 3, 5, 7, 17, 19, 21, 23, 33, 39
