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Math 281 WINTER 2006, List of lectures
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On this page I will post content of all lectures with reference to the
book. All handouts also will be posted here.
Monday, January 9: Coordinates in three-dimensional space; formula for
the distance between points in three-dimensional space. Equation of the
sphere. M Section 13.1; ETM Section 12.1.
Here is homework!
Tuesday, January 10: Vectors: addition, multiplication by scalar;
components, length, addition and multiplication by scalar in terms of
components. M Section 13.2; ETM Section 12.2.
Wednesday, January 11: Substraction of vectors. Standard basis vectors.
Unit vectors. Equilibrium of forces. Definition of dot product.
M Section 13.2; ETM Section 12.2.
Friday, January 13: Properties and applications of dot product.
M Section 13.3; ETM Section 12.3.
Tuesday, January 17: Definitions and examples of cross product and
triple scalar product. M Section 13.4; ETM Section 12.4.
Wednesday, January 18: Properties of cross product and triple scalar
product. M Section 13.4; ETM Section 12.4. New
homework! We will have QUIZ on Monday!
Friday, January 20: Equations of lines. M Section 13.5; ETM Section 12.5.
Monday, January 23: Equations of planes. Section 13.5/12.5. We had
quiz1 today; here are the
solutions.
Tuesday, January 24: More on plane equations. Section 13.5/12.5.
You can look at your current grade on the
Blackboard!
Wednesday, January 25: Cylinders and Quadric Surfaces. Section 13.6/12.6.
New homework! We will have QUIZ on Monday!
Friday, January 27: How Quadric Surfaces look like. Cylindrical
coordinates. Sections 13.6/12.6-13.7/12.7.
Monday, January 30: Spherical coordinates. Vector functions.
Sections 13.7/12.7-14.1/13.1. We had quiz2
today; here are the solutions.
Tuesday, January 31: Differentiation of vector functions. Tangent
vectors. Differentiation rules. Section 14.2/13.2.
Wednesday, February 1: Arc length, natural parameter and curvature.
Section 14.3/13.3.
New homework! We will have MIDTERM on Monday!
Friday, February 3: Formula for curvature; principal normal vector
and binormal vector; oscullating plane and circle. Section 14.3/13.3.
Monday, February 6: We had Midterm 1
today; here are the solutions.
Tuesday, February 7: Velocity and acceleration. Section 14.4/13.4.
Wednesday, February 8: Kepler's Laws. Section 14.4/13.4.
We will have QUIZ on Monday! New homework!
Friday, February 10: Functions of several variables.
Section 15.1/14.1.
Monday, February 13: Limits and continuity for functions of
several variables. Section 15.2/14.2. We had quiz3
today; here are the solutions.
Tuesday, February 14: Partial derivatives. Section 15.3/14.3.
Wednesday, February 15: Tangent planes and linear approximations.
Section 15.4/14.4.
We will have QUIZ on Monday! New homework!
Friday, February 17: Differentials and Chain Rule.
Section 15.5/14.5.
Monday, February 20: More on Chain Rule. Implicit differentiation.
Section 15.5/14.5. We had quiz4
today; here are the solutions.
Tuesday, February 21: Implicit differentiation for three variables.
Directional derivative. Gradient vector. Sections 15.5/14.5-15.6/14.6.
We will have MIDTERM on Monday!!
Wednesday, February 22: Directional derivatives and gradient vectors
for functions of three variables. Section 15.6/14.6.
New homework!
Friday, February 24: Tangent planes for level surfaces.
Section 15.6/14.6.
Monday, February 27: We had Midterm 2
today; here are the solutions.
Tuesday, February 28: Local maximums/minimums and saddle points.
Second derivative test. Section 15.7/14.7.
Wednesday, March 1: Examples for classification of critical points.
Section 15.7/14.7. New homework!
Friday, March 3: Absolute Maximum and Minimum Values.
Section 15.7/14.7.
Monday, March 6: Lagrange Multiplier(s). Section 15.8/14.8.
We will have QUIZ on Friday!
Tuesday, March 7: Examples for Lagrange Multipliers.
Section 15.8/14.8.
Wednesday, March 8: Lagrange Multipliers for two (and more)
constraints. Section 15.8/14.8. Last homework!
Friday, March 10: Rocket Science. Section 15.8/14.8. We had
quiz5
today; here are the solutions.
Monday, March 13: Review of Chapter 13/12.
Here is Practice Exam. We will have
EVALUATIONS on Wednesday!
Tuesday, March 14: Review of Chapter 14/13.
Wednesday, March 15: Review of Chapter 15/14.
Friday, March 17: Review of Chapter 15/14.
THE END