Math 246 FALL 2013, 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, September 30: Rate of change: average and instantaneuous. Section 2.1.
  • Tuesday, October 1: Secant lines and tangent lines. Section 2.1.
  • Wednesday, October 2: Rate of change as a limit. Section 2.2. Here is homework!
  • Thursday, October 3: Limits and their properties. Section 2.2.
  • Monday, October 7: Continuity. Section 2.3. We will have QUIZ on Thursday!!!
  • Tuesday, October 8: Problem solving session.
  • Wednesday, October 9: Derivatives of polynomials. Sections 2.4-2.5. New homework!
  • Thursday, October 10: Product rule. Section 2.6. We had quiz today; here are the solutions.
  • Monday, October 14: Quotient Rule. The Second Derivative. Sections 2.6-2.7. We will have QUIZ on Thursday!!!
  • Tuesday, October 15: Problem solving session.
  • Wednesday, October 16: The Chain Rule. Section 2.9. New homework!
  • Thursday, October 17: The Inverse Functions. Implicit differentiation and related rates. Section 2.9. We had quiz today; here are the solutions.
  • Monday, October 21: The derivatives of exponential, logarithmic and trigonometric functions. Sections 2.8 and 2.10. We will have MIDTERM on Thursday!!! Please find review problems here (update: the problem #12 is slightly changed now).
  • Tuesday, October 22: Problem solving session.
  • Wednesday, October 23: Midterm review. Please find answers to review problems here. New homework!
  • Thursday, October 24: Midterm. Here are the solutions.
  • Monday, October 28: Discrete Dynamical Systems. Section 1.5.
  • Tuesday, October 29: Problem solving session.
  • Wednesday, October 30: Graphical analysis and equilibria (=fixed points). Section 1.6. New homework!
  • Thursday, October 31: Competing bacterial populations model. Section 1.10.
  • Monday, November 4: Stable and unstable equilibria via derivatives. Section 3.1. We will have QUIZ on Thursday!!!
  • Tuesday, November 5: Problem solving session.
  • Wednesday, November 6: Stability of equilibria in the case of negative derivative. Sections 3.1-3.2. New homework!
  • Thursday, November 7: Logistic model and Ricker model. Section 3.2. We had quiz today; here are the solutions.
  • Monday, November 11: Global and local maxima and minima. Critical points. Section 3.3. We will have QUIZ on Thursday!!!
  • Tuesday, November 12: Problem solving session.
  • Wednesday, November 13: The second derivative test. Section 3.3. New homework!
  • Thursday, November 14: Optimization examples. Section 3.3. We had quiz today; here are the solutions.
  • Monday, November 18: Intermediate value theorem and extreme value theorem. Section 3.4. We will have MIDTERM on Thursday!!! Please find review problems here.
  • Tuesday, November 19: Problem solving session.
  • Wednesday, November 20: Midterm review. Please find answers to review problems here. New homework!
  • Thursday, November 21: Midterm. Here are the solutions.
  • Monday, November 25: Limits at infinity. Section 3.5.
  • Tuesday, November 26: Problem solving session.
  • Wednesday, November 27: Limits and derivatives: L'Hospital's Rule. Section 3.6. Last homework!
  • Monday, December 2: More on L'Hospital Rule. Section 3.6. Please find review problems for the final here.
  • Tuesday, December 3: Problem solving session.
  • Wednesday, December 4: Model of breathing. Section 3.9. Here are the solutions for (not graded) take-home quiz.
  • Thursday, December 5: Review. Please find answers to review problems here.
  • THE END