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MATH 01131 · 4 cr · Foundation
Calculus II
Integration techniques, series, and polar/parametric topics that Praxis and later analysis lean on.
Suggested prep window: 3–4 weeks after Calc I is solid
Prerequisites to lock first
- Comfortable Calc I derivatives + basic integrals + u-sub
A-grade strategy
- Make a one-page 'integration triage' sheet (parts / trig / partial fractions / improper).
- Series: always state which test and why — professors grade justification.
- Do 3 mixed integration problems daily until automatic.
What you must know
Click any item for a definition, short reading, flashcards, and a practice prompt.
Applications
Sequences & series
Parametric & polar (often)
Tutorials & videos
Watch intuition first, then full lectures, then drill. Links open free resources (YouTube, Khan, MIT OCW, notes).
playlist
Professor Leonard — Calculus 2
Full-length Calc II lectures matching university pacing.
Open resource →
practice
Khan Academy — Calculus 2
Drill each integration technique until accuracy is boring.
Open resource →
notes
Paul's Online Math Notes — Calculus II
Best free written reference for techniques + series tests.
Open resource →
video
The Organic Chemistry Tutor — Series & sequences
Fast overview of convergence tests before deeper practice.
Open resource →
Self-check (no notes)
If you can do these cold, you are ready to start the Rowan section strong.
- Integrate x e^x, sin²x, and 1/(x²−1) without notes.
- Decide convergence of Σ 1/n², Σ (−1)^n/n, Σ n!/n^n with named tests.
- Write the Maclaurin series for e^x and 1/(1−x).