Math 301 S16

Lecture Notes:
Section 11.1: Rectangular Coordinates in 3-Space
Section 11.2: Vectors
Section 11.3: Dot Product
Section 11.4: Cross Product
Section 11.5: Parametric Equations of Lines
Section 11.6: Planes in 3-Space
Section 11.7: Quadric Surfaces
Section 12.1: Introduction to Vector-Valued Functions
Section 12.2: Calculus of Vector-Valued Functions
Section 12.3: Change of Parameter; Arc Length
Section 12.4: Unit Tangent, Normal, and Binormal Vectors
Section 12.5: Curvature
Section 13.1: Functions of Two or More Variables
                    Mathematica Examples
Section 13.2: Limits and Continuity
Section 13.3: Partial Derivatives
Section 13.4: Tangent Planes and Linear Approximations
Section 13.5: Chain Rule
Section 13.6: Directional Derivatives and Gradients
Section 13.8: Maxima and Minima of Functions of Two Variables
Section 14.1: Double Integrals
Section 14.2: Double Integrals over Nonrectangular Regions
                    Mathematica Examples
Section 14.3: Double Integrals in Polar Coordinates
Section 14.5: Triple Integrals
                    Mathematica Example
Section 14.6: Triple Integrals in Cylindrical and Spherical Coordinates
Section 15.1: Vector Fields
                    Mathematica Examples
Section 15.2: Line Integrals

Homework:
Section 11.1: 3, 8-10, 12, 13, 31, 47, 48, 50
    Turn in: 8, 10, 47 (due 1/15)
Section 11.2: 1, 2, 11-26, 31-34, 37-41, 53-54, 57-58
    Turn in: 12, 15, 24, 32, 41, 54*, 58 (due 1/29)
Section 11.3: 1-4, 8-10, 12-13, 24-31, 37-40, 44
    Turn in: 4*, 12, 38, 44 (due 1/29)
Section 11.4: 3-7, 10-18, 21-27, 30-31, 34, 37-38
    Turn in: 4, 10, 30*, 38 (due 2/5)
Section 11.5: 3-38, 51-54
    Turn in: 16, 32, 54 (due 2/5)
Section 11.6: 3-6, 11-18, 21-38, 41-48
    Turn in: 12, 14, 16*, 26, 32 (due 2/12)
Section 12.1: 1-8, 15, 17-18, 50
    Turn in: 15, 50* (due 2/12)
Section 12.2: 1-14, 19-40, 45-48, 50, 53-54
    Turn in: 20, 28, 38, 48, 54* (due 2/19)
Section 12.3: 5-16, 21, 25-33, 42-43
    Turn in: 6, 10, 28, 42 (due 2/19)
Section 12.4: 5-11
    Turn in: 6 (due 2/19)
Section 12.5: 5-10, 12, 46
    Turn in: 6, 46 (2/19)
Section 13.1: 1-9, 17-26, 47, 66
    Turn in: 18, 26, 66 (due 2/26)
Section 13.2: 1-22, 30, 32, 34-38
    Turn in: 14, 18, 30*, 34 (due 2/26)
Section 13.3: 1-14, 25-52, 55-92, 96, 101-102
    Turn in: 6, 60, 70, 102 (due 3/4)
Section 13.4: 9-20, 42, 53-28
    Turn in: 14, 42, 54 (due 3/4)
Section 13.7: 1-17, 26
    Turn in: 10, 14 (due 3/4)
Section 13.5: 1-14, 17-35, 53-57, 60
    Turn in: 4, 20, 32, 60* (due 3/11)
Section 13.6: 1-20, 23, 26, 29-30, 33-39, 41-45, 47-48, 51-59, 61-66, 75-82
    Turn in: 6, 26, 30, 54, 80 (due 3/11)
Section 13.8: 9-26, 31-45, 59
    Turn in: 12, 32*, 38, 42 (due 3/23)
Section 14.1: 1-16, 23-27, 29-33, 35-40
    Turn in: 10, 24*, 30, 38 (due 4/1)
Section 14.2: 1-26, 33-44, 47-56, 61-64
    Turn in: 10, 18, 40, 48 (due 4/8)
Section 14.3: 1-42
    Turn in: 24, 28, 40 (due 4/8)
Section 14.5: 1-12, 15-24, 27, 33-34
    Turn in: 10, 16, 34 (due 4/15)
Section 11.8: 19-50
    Turn in: 20, 28, 38 (due 4/15)
Section 14.6: 9-24, 27-29
    Turn in: 10, 16, 28 (due 4/22)
Section 15.1: 9-11, 15-16
    Turn in: 16 (due 4/22)
Section 15.2: 7-30, 33-34, 37-40, 45-50, 55

Class Project - due April 25th

Math 301/301H Calculus III

Math 301/301H
Calculus III