MATH 1AA3 — Calculus for Science 2
Course Description
Integration techniques, applications of integration, sequences and series, introduction to differential equations.
Prerequisites to Review
MATH 1A03 throughout — fluency in differentiation-rules and antiderivatives is assumed from day one.
Top 7 Topics by Foundational Importance
- substitution
- integration-by-parts
- partial-fractions
- area-between-curves
- volumes-of-revolution
- taylor-series
- Separable ODEs
Known Difficulty Spikes
- Trigonometric substitution
- Series convergence tests
- Setting up volume integrals
Free Resources
- Paul’s Online Math Notes — Calculus II
- MIT OCW 18.01
Connections
Differential equations → decay, circuits, oscillators bridges to PHYSICS 1C03 and PHYSICS 1CC3. Fourier analysis → spectroscopy bridges to CHEM 1AA3. See interdisciplinary.
Textbook
[Set by /process-syllabus once syllabus is available.]