# Stuff for Eva's 18.01 section

## Section worksheets

September 14: Linear approximation, critical points, min/max problems (Worksheet, Answers)

September 16: Fixed point iteration and Newton's method (Worksheet, Answers)

September 21: Trig, polar coordinates, and chain rule (Worksheet, Answers)

September 23: More trig, polar coordinates, and chain rule (Worksheet, Answers)

September 28: Related rates and implicit differentiation (Worksheet, Answers)

October 5: Quadratic approximations, concavity, and the second derivative test (Worksheet, Answers)

October 7: Applications of differential equations: springs and pendulums (Worksheet, Answers)

October 13: Taylor polynomials and piecewise functions (Worksheet, Answers)

October 14: More Taylor polynomials (Worksheet, Answers)

October 19: Limits, continuity, and intermediate value theorem (Worksheet, Answers)

October 26: Taylor's theorem with error term (Worksheet, Answers)

October 28: More Taylor approximation error terms (Worksheet, Answers)

November 2: Infinite series and convergence criteria (Worksheet, Answers)

November 4: More series convergence, and introduction to integration (Worksheet, Answers)

November 9: Integration techniques: parts, substitution; separable ODE's (Worksheet, Answers)

November 16: Physical applications of integrals: center of mass and work (Worksheet, Answers)

November 23: Improper integrals, series convergence via integrals, probability densities (Worksheet, Answers)

November 25: Moving averages, probability (Worksheet, Answers)

November 30: Midterm 4 review, part 1: Fourier approximation, probability, moving averages (Worksheet, Answers)

December 7: Integration of rational functions (Worksheet, Answers)

December 9: Riemann sums (Worksheet, Answers)

## Review sheets for exams

Review for Midterm 1: (Review sheet, Answers to problems)

Review for Midterm 2: (Review sheet, Answers to problems)

Review for Midterm 3: (Review sheet, Answers to problems)

Review for Midterm 4: (Review sheet, Answers to problems)

Final review session about Taylor approximation and integral/ series comparison: (Review sheet, Answers to problems)