Math 246 FALL 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, September 25: Exponential growth/decay. Section 2.1.
Tuesday, September 26: Recursions; sequences; limits. Sections 2.1-2.2.
Wednesday, September 27: Existence and nonexistense of limits; limit laws;
limits for recursions and fixed points. Section 2.2.
Here is homework!
Friday, September 29: Population models: Beverton-Holt recruitment curve.
Section 2.3.
Monday, October 2: More population models: discrete logistic equation.
Section 2.3.
Tuesday, October 3: Problem solving session.
Wednesday, October 4: Ricker's curve and Fibbonaci sequence.
Definition of a limit of a function. Section 2.3, 3.1. We will have
QUIZ on Monday!!! New
homework!
Friday, October 6: Examples of limits. Section 3.1.
Monday, October 9: Continuity. Continuity of familiar functions.
Combinations of continuous functions. Section 3.2. We had
quiz1 today; here are the
solutions.
Tuesday, October 10: Problem solving session.
Wednesday, October 11: Continuity of composite functions.
Limits at infinity. Sections 3.2-3.3. New homework!
Friday, October 13: The sandwich theorem. Trigonometric limits.
Section 3.4.
Monday, October 16: More of trigonometric limits. The intermediate
value theorem. Sections 3.4-3.5. We will have MIDTERM on Friday!!!
Tuesday, October 17: Problem solving session.
Wednesday, October 18: Definition of the derivative. Section 4.1.
New homework! We will have review before midterm
on Thursday, October 19, 3pm; we will meet at Deady 3.
Friday, October 20: We had Midterm 1
today; here are the solutions.
Monday, October 23: Interpretations of derivative. Power rule.
Sections 4.1-4.2.
Tuesday, October 24: Problem solving session.
Wednesday, October 25: Differentiation rules. Sections 4.2-4.3.
New homework!
Friday, October 27: Power rule for general powers. Examples. Section 4.3.
We will have QUIZ next Friday!!!
Monday, October 30: Chain rule. Section 4.4.
Tuesday, October 31: Problem solving session.
Wednesday, November 1: Implicit differentiation. Related rates.
Higher derivatives. Section 4.4. New homework!
Friday, November 3: Derivatives of trigonometric functions. Section 4.5.
We had quiz2 today; here are the
solutions.
Monday, November 6: Derivative of exponential function. Derivative of
an inverse function. Sections 4.6-4.7.
Tuesday, November 7: Problem solving session.
Wednesday, November 8: More on derivatives of inverse functions:
inverse trigonometric functions and logarithm. Section 4.7.
New homework!
Friday, November 10: Linear approximation. Section 4.8.
We will have MIDTERM next Friday!!! Here are the
review problems.
Monday, November 13: Global and local extrema. Fermat's theorem.
Section 5.1.
Tuesday, November 14: Problem solving session.
Wednesday, November 15: How to find local extrema. Monotonicity.
Section 5.2. A couple more of review problems
is added. Here are the answers.
We will have review session on Thursday, 3pm, Deady 3.
New homework!
Friday, November 17: We had Midterm 2
today; here are the solutions.
Monday, November 20: Concave up and concave down; inflection points.
How to sketch a graph of function. Section 5.3.
Tuesday, November 21: Problem solving session.
Wednesday, November 22: Optimization. Section 5.4.
Monday, November 27: Indeterminate expressions and L'Hospital's Rule.
Section 5.5. We will have EVALUATIONS on Wednesday!!!
Tuesday, November 28: More of indeterminate expressions. Section 5.5.
Wednesday, November 29: Stability for fixed points of recurrences.
Section 5.6. Here is a Practice Exam.
We will have Review session on Monday 12am; we meet at Deady 3.
Friday, December 1: Antiderivatives. Section 5.8.
THE END.
Here are the answers for
Practice Exam.