18.01 Calculus
Jason Starr Fall 2005
Lecture 1. September 8, 2005
Homework. Problem Set 1 Part I: (a)(e); Part II: Problems 1 and 2.
Practice Problems. Course Reader: 1B1, 1B2
Textbook: p. 68, Problems 17 and 15.
1. Velocity. Displacement is s(
18.01 Calculus
Jason Starr Fall 2005
Lecture 5. September 16, 2005
Homework. Problem Set 2 Part I: (a)(e); Part II: Problem 2.
Practice Problems. Course Reader: 1I1, 1I4, 1I5
1. Example of implicit differentiation. Let y = f (x) be the unique fu
18.01 Calculus
Jason Starr Fall 2005
Lecture 2. September 9, 2005
Homework. Problem Set 1 Part I: (f)(h); Part II: Problems 3.
Practice Problems. Course Reader: 1C2, 1C3, 1C4, 1D3, 1D5.
1. Tangent lines to graphs. For y = f (x), the equation of
18.01 Calculus
Jason Starr Fall 2005
Lecture 3. September 13, 2005
Homework. Problem Set 1 Part I: (i) and (j).
Practice Problems. Course Reader: 1E1, 1E3, 1E5.
1. Another derivative. Use the 3step method to compute the derivative of f (x) = 1/
18.01 Calculus
Jason Starr Fall 2005
Lecture 4. September 15, 2005
Homework. No new problems.
Practice Problems. Course Reader: 1F1, 1F6, 1F7, 1F8.
1. Product rule example. For u = 3x + 1, what is u (x)? Since u u = 3x + 1, (u u) = (3x + 1) =
18.01 Calculus
Jason Starr Fall 2005
Lecture 6. September 20, 2005
Homework. Problem Set 2 Part I: (f)(j); Part II: Problems 1, 3 and 4.
Practice Problems. Course Reader: 1J1, 1J2, 1J3, 1J4
1. Trigonometric functions. What is angle? For a sector
18.01 Calculus
Jason Starr Fall 2005
Lecture 7. September 22, 2005 Review for Exam 1. No new material was presented. There were no practice problems from the
course reader.
18.01 Calculus
Jason Starr Fall 2005
Lecture 8. September 27, 2005
Homework. Problem Set 2 all of Part I and Part II.
Practice Problems. Course Reader: 2A1, 2A4, 2A9, 2A11, 2A12.
1. Linear approximations. For a differentiable function f (x), the
18.01 Calculus
Jason Starr Fall 2005
Lecture 10. September 30, 2005
Homework. Problem Set 3 Part I: (a)(f). Part II: Problems 1, 2 and 3.
Practice Problems. Course Reader: 2C5, 2C10, 2C12, 2D3, 2D4.
1. Asymptotes. An asymptote describes the beha
18.01 Calculus
Jason Starr Fall 2005
Lecture 9. September 29, 2005
Homework. Problem Set 2 all of Part I and Part II.
Practice Problems. Course Reader: 2B1, 2B2, 2B4, 2B5.
1. Application of the Mean Value Theorem. A realworld application of the