MathematicsCoreMTH-CALC2-149
Series & Convergence Tests
geometric/p-series, divergence test, comparison, ratio, root, alternating, absolute/conditional
- Difficulty
- 3 / 5
- Importance
- 5 / 5
- Study time
- 3–6 h
- Kind of work
- Mixed
Why it matters
Completes single-variable calculus: advanced integration and the theory of infinite series that pervades analysis and physics.
Where it is used
Work/energy integrals, probability densities, Fourier series foundations, approximation of functions, financial continuous compounding.
How you know you have learned it
Complete 3 independent examples correctly + explain common failure modes.
Resources
- Schaum's Outline of Calculus — Frank Ayres problem book
- Calculus: Early Transcendentals — James Stewart Book
- Thomas' Calculus — Hass, Heil & Weir Book