Lecturer's Notes for Math 141, Fall 2013

September 4: Course info.

September 5: Functions.

September 6: More about functions.

September 9: Increasing and decreasing functions. Even and odd functions.

September 11: Piecewise-definitions of functions. Proving things about functions. New functions from old. Lagrange interpolation.

September 12: More about functions.

September 13: More about numbers.

September 16: Limits.

September 18: The formal definition of a limit.

September 19: Working with the formal definition of a limit.

September 20: Laws governing limits.

September 23: More laws governing limits.

September 25: The squeeze theorem. Proving limit laws.

September 26: Proving limit laws. Continuity.

September 27: Continuity and the Intermediate Value Theorem.

September 30: Limits involving infinity.

October 2: Limits involving infinity (concluded).

October 3: True-False Quiz for chapter 1.

October 4: True-False Quiz for chapter 1 (continued).

October 7: Algebra review.

October 9: The definition of the derivative.

October 10: The derivative as a function.

October 11: Basic differentiation formulas.

October 16: The product and quotient rules. The chain rule.

October 17: The chain rule.

October 18: Implicit differentiation.

October 21: Related rates.

October 23: Linear approximation and differentials. Discontinuous derivatives.

October 24: True-False Quiz for chapter 2.

October 25: Early history of the calculus.

October 28: Exponentiation.

October 30: Inverse functions.

October 31: Change-of-base-formulas. Derivatives of logarithmic and exponential functions.

November 1: MIDTERM

November 4: Exponential growth and decay.

November 6: Inverse trig functions.

November 7: True-False Quiz for chapter 3.

November 8: L'Hospital's Rule.

November 13: Maximum and minimum values. The Extreme Value Theorem.

November 14: The Mean Value Theorem.

November 15: Derivatives and the shapes of graphs.

November 18: Derivatives and the shapes of graphs (concluded).

November 20: Curve sketching.

November 21: Optimization.

November 22: Optimization (concluded).

November 25: Newton's method.

November 27: Antiderivatives.

December 2: Antiderivatives (concluded).

December 4: Calculus Concepts Inventory test.

December 5: True/false Quiz for chapter 4.

December 6: Review.