Differential Calculus
Limits, derivatives, approximation, optimization, and rigorous local reasoning.
Limits, derivatives, approximation, optimization, and rigorous local reasoning.
This course expects complete reasoning: definitions and hypotheses are stated, manual arguments remain visible, computation is labeled as exact or approximate, and conclusions are interpreted rather than merely reported.
Course outcomes
- Use limits to analyze local behavior and state when limit laws apply.
- Derive and interpret derivatives from definitions, rules, and approximations.
- Connect differentiability to graphs, models, error, and optimization.
- Check symbolic results and investigate edge cases computationally.
Prerequisites
advanced-algebra