Lecture Materials

Below you will find blank copies of the lecture outlines that you will find in my lecture videos. Some students tell me they like to print or download these to help them take notes on. After we finish pass a topic, I will also post a filled in handwritten copy of my notes on this page.

NOTE: Please ignore any homework due dates one page one of these outlines, instead always go off the course calendar and the due dates on Webassign.

12.1 Lecture Outline - 12.1 Notes: Intro to 3D, axes, coordinate planes, distance, and spheres.
12.2 Lecture Outline - 12.2 Notes: Intro to vectors: addition, magnitude, scalar multiplication, unit vector; Then Intro to dot products.
12.3 Lecture Outline - 12.3 Notes: Dot Products: Definition, Big Theorems/Facts, Orthogonality, Angle between vectors, Projections; Then Intro to Cross-Product.
12.4 Lecture Outline - 12.4 Notes: Cross Products: Defintion, Computing/Checking, Big Facts, Right-Hand Rules, Area of Parallelogram; Then intro to Lines.
12.5 Lecture Outline - 12.5 Notes 1: Lines and Planes in 3D.
12.5 Notes 2: Lines and Planes in 3D - How to approach problems.
12.6 Summary: Intro to Surfaces in 3D, traces, then 7 important names: Cylinders, Paraboloids (Two Types: Elliptical or Hyperbolic), Hyperboloids (Two Types: One Sheet or Two Sheets), Cones, Spheres/Ellipsoids. You must know how to identify all these shapes and generally know what they look like.
Ch. 12 - Quick Fact Sheet
Exam 1 Overview, Review, and Study Tips
EXAM 1 - on Chapter 12.

13.1 Lecture Outline - 13.1 Notes: Intro to vector curves: how to visualize (surface of motion), thinking in terms of points or position vectors.
13.2 Lecture Outline - 13.2 Notes: Calculus on vector curves: Tangent/Derivative Vector, Unit Tangent, Tangent Line, Intergral/Antidervative.
13.3 Lecture Outline - 13.3 Notes: Measurement on 3D curves: Unit Tangent, Principal Unit Normal, Arc Length, Curvature.
13.4 Lecture Outline - 13.4 Notes: Acceleration and Velocity in 3D: Antidertivative to go from acceleration to velocity to position, tangent and normal components of acceleration.
Ch. 12 & 13 Fact Sheet - Vector Tools and Vector Calculus on 3D curves
EXAM 2 - on Chapter 13.

14.1/3 Lecture Outline - 14.1/3 Notes: Intro to 3D Surfaces and Partial Derivatives; Domain, Traces, Level Curves, Contour Map, partial derivatives and interpretting.
14.3/4 Lecture Outline - 14.3/4 Notes: More on partial derivatives as well as Tangent Planes and linear approximation
14.4/7 Lecture Outline - 14.7 Notes 1: Discussion of Critical Points and Local Max/Min
14.7 Lecture 2 Outline - 14.7 Notes 2: Discussion of Global Max/Min (boundaries of a region)
Ch. 14 Full Review
EXAM 3 - on Chapter 14.

15.1 Lecture Outline - 15.1 Notes: Intro to double integrals.
15.2 Lecture Outline - 15.2 Notes: Double integrals over general regions, reversing order, setting up, evaluating.
10.3 Lecture Outline - 10.3 Notes: Polar Coordinates (a tool we need in order to work with circular regions).
15.3 Lecture Outline - 15.3 Notes: Double integrals over polar regions, how to integral above circular regions!
15.4 Lecture Outline - 15.4 Notes: Center of Mass
Exam 4 Facts - Ch. 15 Review
EXAM 4 - on Chapter 15.

TN 1 Lecture Outline - TN 1 Notes: tangent lines and intro to error bounds
TN 2-3 Lecture Outline - TN 2-3 Notes: higher order Taylor polynomials and Taylor's inequality
TN 4 Lecture Outline - TN 4 Notes: Taylor Series
TN 5 Lecture Outline - TN 5 Notes: Manipulating Taylor Series
Taylor Notes Fact Sheet
EXAM 5 - on Tayloy Polynomials/Series

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