Math 281 WINTER 2006, List of lectures

• 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.
• 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