Lecturer's Notes for Math 141

September 2: Course info. A tangent about tangents. (docx version)

September 3: Functions. (docx version)

September 4: Proving things about functions. (docx version)

September 8: New functions from old. (docx version)

September 10: Quantifiers. (docx version)

September 11: Limits. (docx version)

September 14: More about limits. (docx version)

September 16: Limits and proofs. (docx version)

September 17: Proving the addition law for limits. (docx version)

September 18: Laws about limits. (docx version)

September 21: Continuity. (docx version)

September 23: More about continuity. (docx version)

September 24: Limits involving infinity. (docx version)

September 25: Calculating limits. Reading proofs. (docx version)

September 28: True/false questions on chapter 1. (docx version)

September 30: The definition of the derivative as limit. (docx version)

October 1: The derivative as a function. (docx version)

October 2: The sign of the derivative. Differentiation rules. (docx version)

October 5: The product and quotient rules. (docx version)

October 7: The chain rule. (docx version)

October 8: Implicit differentiation. (docx version)

October 9: Related rates. (docx version)

October 14: Linear approximation and differentials. (docx version)

October 15: Linear approximation and differentials (concluded). (docx version)

October 16: True/false questions on chapter 2. (docx version)

October 19: Review. The Cut Principle. (docx version)

October 21: Review. (docx version)

October 23: Exponentiation. (docx version)

October 26: Exponentiation (concluded). Inverse functions. (docx version)

October 28: Inverse functions (continued). (docx version)

October 29: Derivatives of logarithms and exponential functions. (docx version)

October 30: Exponential growth and decay. (docx version)

November 2: Exponential growth and decay (concluded). Inverse trig functions. (docx version)

November 4: Inverse trig functions (concluded). Hyperbolic functions. (docx version)

November 5: Hyperbolic functions. L'Hospital's Rule. (docx version)

November 6: Hyperbolic functions and L'Hospital's Rule (concluded). (docx version)

November 9: True/false questions on chapter 3. (docx version)

November 12: Global and local maxima and minima. (docx version)

November 13: The mean value theorem. (docx version)

November 16: The mean value theorem (concluded). Derivatives and the shapes of graphs. (docx version)

November 18: Derivatives and the shapes of graphs (continued). (docx version)

November 19: Derivatives and the shapes of graphs (concluded). Curve sketching. (docx version)

November 20: Curve sketching (concluded). (docx version)