LaTeX Notes for Calculus II
Daniel SiegelDetails
These LaTeX notes were taken for Professor Christopher Coscia's Calculus II class at Tufts University during Fall 2024. They were created using my shorthand LaTeX format, "TeXpress," allowing for live note-taking at the same speed as traditional handwritten notes.
These notes are intended for personal study and should not be used to cheat. If you choose to share or distribute them, please credit me as the author.
Notes
- Day 1: Sequences, limits, Fibonacci formula
- Day 2: Squeeze theorem, monotonic sequences, growth rates
- Day 3: Series convergence, geometric and telescoping series
- Day 4: Divergence test, p-series, harmonic series
- Day 5: Comparison and limit comparison tests
- Day 6: Alternating series, absolute vs. conditional convergence
- Day 7: Ratio and root tests for series convergence
- Day 8: Taylor polynomials and error estimation
- Day 9: Power series, radius, interval of convergence
- Day 10: Taylor series, derivatives, e and π infinite sums
- Day 11: Fundamental Theorem of Calculus, Riemann sums
- Day 12: Integration by substitution, u-substitution rules
- Day 13: Integration by parts, IBP strategies, LIPPET acronym
- Day 14: Trigonometric identities, substitutions, and area formulas
- Day 15: Trigonometric substitution and integration techniques
- Day 16: Partial fractions and rational function integration
- Day 17: Improper integrals, asymptotes, and comparison test
- Day 18: 3D volumes and revolution, and disk/washer method
- Day 19: Shell method and calculating the length of a curve
- Day 20: Work and integration, pumping fluid calculations
- Day 21: Plotting parametric curves, computing arc length
- Day 22: Plotting in polar, and Cartesian-polar conversion
- Day 23: Computing areas and tangent lines for polar functions