Calculus III(NCSU)  Begin Section 11.4: differentiability of f(x,y) and f(x,y,z)
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Begin Section 12.3: Double Integrals over general regions
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Begin Section 12.7: Triple integrals in Cartesian coordinates
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Begin Section 13.3: The fundamental theorem for Line Integrals
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Begin Section 13.7: Stoke’s Theorem
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Begin Section 9.2: Vectors
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Brief review of the Cross Product.
Begin Section 9.5: Equations of Lines and Planes
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Brief review of the Dot Product.
Begin discussion of Section 9.4: The Cross Product
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue discussion of the Dot Product, with examples
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with 12.3
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with 12.7
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with 13.2: Line integrals of functions along parameterized curves.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with discussion of equations of lines and planes, with worked examples
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with double integrals in polar coordinates.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with section 13.3  includes a number of worked example problems
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continue with Section 13.6. Finish “surface integral of a function”
Begin “surface integral of a vector field”. NOTE: A slide with the title “Line integral of Vector Fields” in this lecture. The title of that slide should be “Su
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Continues discussion of section 11.6 on Directional derivatives
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Covers Section 11.1: level curves of f(x,y)and level surfaces of f(x,y,z)
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Covers Section 11.2: Limits and continuity of f(x,y) and f(x,y,z)
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Covers Section 11.3: partial derivatives
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Covers Section 11.5: The Chain Rule  Mentions a pdf for distance ed students that is on Norris’ web page  problem 9, page 788 (third edition).
Begin 11.6: Directional derivatives and the gradient vector.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Covers Section 9.6: Functions and surfaces, and
Section 11.1: Functions of several variables
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish 10.3
Begin Section 10.4: Motion in Space
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish 12.1
Begin 12.2: Iterated integrals
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish 12.4. Discuss 12.5 : Applications of double integrals
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish 13.1 on vector fields and conservative vector fields.
Begin 13.2: Line integrals.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish 13.2: Line integrals of vector fields along parameterized curves; The defintion of the work done by a force.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish discussion of 12.2
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish discussion of section 10.2.
Begin Section 10.3: Arc Length and Curvature
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish discussion of Section 10.5 on parametric surfaces.
Begin study of “tangent planes to parametrized surfaces” (Pg 787788).
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish discussion of Section 13.7  Stokes' Theorem.
Begin discussion of Section 13.8: The Divergence Theorem
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish discussion of surface area (Section 12.6).
Begin several day study of Section 13.6: Surface Integrals
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish examples from Section 12.7.
Begin Section 9.7: Cylindrical coordinates and
Section 12.8: Triple integrals in cylindrical coordinates
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish examples in cyclindrical coordinates.
Continue with Section 9.7: Spherical coordinates and
Continue with Section 12.8: Triple integrals in spherical coordinates
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish Section 12.3.
Begin Section 12.4: Double integrals in polar coordinates
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish Section 13.3. Show how Newton’s second law combined with conservative forces leads to the law of conservation of total energy.
Begin 13.4: Green’s Theorem
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish Section 13.4  Green’s Theorem.
Begin section 13.5: Divergence and Curl
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish Section 13.5 on Divergence and Curl.
Begin Section 10.5: Parametric Surfaces  BEGIN MAPLE ASSIGNMENT #4
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish Section 13.8  The Divergence Theorem of Guass.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish space curves.
Begin Section 10.2: Derivatives and Integrals of Vector Functions
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish up discussion of triple integrals in spherical coordinates: do three example problems.
Begin (briefly) Section 13.1: Vector Fields
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finish working examples on lines and planes.
Begin Section 10.1: Vector Functions and Space Curves
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finishes discussion of 11.6
Begins 11.7: optimization
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finishes Section 11.7 on optimization
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Finishes up Section 11.4
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Mentions test 2 will be on 11.1  11.7, although additional material will be covered before the test. Covers absolute max and absolute min.
Last 7 minutes begins Section 12.1: Double Integrals over Rectangles
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Overview of the course.
Begin Section 9.1: Cartesian Coordinates in space
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Review day for Test #1
Test #1 covers lectures 1  11, with lecture 14 the “review day” for test #1. On this test I am not testing section 9.6 or 11.1 which are covered in lectures 12 and 13.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Review day for test #2
Test #2 will cover the material in sections 9.6, and 11.1  11.7. That material is covered in lectures 12, 13, 1523, and Lecture #26 = ”Review day for test #2”.
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Review day for Test #3:
Test #3 will cover the material in all sections of chapter 12 except section 12.6 (which will be covered later). This material is covered in DVD Lectures #24  #36. Lecture #40 is the Review day for Tes
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Review day for Test #4. Contains a number of worked examples.
Test #4 will cover the material in all sections of chapter 13 except sections 13.7 and 13.8 (which will be covered later). Morever, the test includes the materials in
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Review discussion of “tangent planes to parametrized surfaces” (Pg 787788)
Begin Section 12.6: Surface area of Parameterized Surfaces
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Review of discussion on Vectors, with a number of worked example problems.
Begin Section 9.3: The Dot Product
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Semester Review Day: Questions and answers with worked example problems
(Larry K. Norris / North Carolina State University)



Calculus III(NCSU)  Semester Review Day: Questions and answers with worked example problems
(Larry K. Norris / North Carolina State University)



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