MATH 1A03 — Calculus for Science 1
Course Description
Limits, continuity, derivatives, differentiation rules, applications of derivatives, introduction to integration.
Prerequisites to Review Before Week 1
- Precalculus: trig identities, exponential and log functions
- Advanced Functions
Top 7 Topics by Foundational Importance
- Limit definition
- quotient)
- implicit-differentiation
- related-rates
- curve-sketching
- optimization
- antiderivatives
Known Difficulty Spikes
- Epsilon–delta proofs (if covered)
- Related rates problem setup
- Optimization with constraints
Free Resources
- Paul’s Online Math Notes — Calculus I
- Khan Academy Calculus 1
- 3Blue1Brown — Essence of Calculus (YouTube)
Connections
Derivatives → instantaneous velocity; integration → work-energy theorem: both bridge to PHYSICS 1C03. See interdisciplinary.
Textbook
[Set by /process-syllabus once syllabus is available.]