Lecture Notes


This notes give an outline of the material that will be covered in class. I may add additional examples to clarify/illustrate concepts during the lecture.

The notes will be posted after the section has been finished. Be advised that the notes will not have everything that I say during class. The problems will be worked out but some additional information (hints, warnings, analysis of the problem,..) will not be written out in the notes.


Exam 1 Material
Section Notes Old Textbook
Sections
12.1: Three Dimensional Coordinate Systems blank completed 11.1
12.2: Vectors blank completed 11.2
12.3: The Dot Product blank completed 11.2
12.4: The Cross Product blank completed 11.3
12.5: Equations of Lines and Planes blank completed 11.4
12.6: Quadratic Surfaces
Quadratic chart
blank completed 11.5
13.1: Vector Functions and Space Curves blank completed 11.6
13.2: Derivative and Integrals of Vector Functions blank completed 11.6
13.3: Arc Length and Curvature blank completed 11.7
13.4: Motion in Space: Velocity and Acceleration blank completed 11.8
Exam 2 Material
Section Notes
14.1: Functions of Several Variables blank completed 12.1
14.3: Partial Derivatives blank completed 12.3
14.4: Tangent Planes and Differentials blank completed 12.4
14.5: The Chain Rule blank completed 12.5
14.6: Directional Derivatives and the Gradient Vector blank completed 12.6
14.7: Maximum and Minimum Values blank completed 12.7
14.8: Lagrange Multipliers blank completed 12.8
Exam 3 Material
Section Notes
10.3: Review of Polar Coordinates blank completed 13.4
15.1: Double Integrals over Rectangles blank completed 13.1, 13.2
15.2: Double Integrals over General Regions
Math 152 lecture notes on Integration: see 8.1, 8.2, 8.3, 8.4
Math 152 video lectures
blank completed 13.3
15.3: Double Integrals in Polar Coordinates blank completed 13.5
15.4: Applications of Double Integrals blank completed 13.6
15.5: Surface Area blank completed 13.7
15.6: Triple Integrals blank completed 13.8
15.7: Triple Integrals in Cylindrical Coordinates blank completed 13.9 and 13.10
15.8: Triple Integrals in Spherical Coordinates blank completed 13.9 and 13.10
15.9: Change of Variables blank completed 13.11
Final Exam Material
Section Notes
16.1: Vector Fields blank completed 14.1
16.2: Line Integrals blank completed 14.2
16.3: Fundamental Theorem for Line Integrals blank completed 14.3
16.4: Green's Theorem blank completed 14.4
16.5: Curl and Divergence blank completed 14.5
16.6: Parametric Surfaces and Their Areas blank completed 14.6
16.7: Surface Integrals blank completed 14.7
16.8: Stokes' Theorem blank completed 14.8
16.9: Divergence Theorem blank completed 14.9