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Math 246 FALL 2013, 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, 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