Course
MA0 A
Term
Spring 2026
Schedule
Mon AM Session / Wed PM Session + Fri Recitation
Lessons
14
Course overview
We begin with functions, graphs, and the idea of limit, then define the derivative as a rate of change and a slope. The course builds the standard differentiation rules, tangent-line approximations, curve sketching, and first applications to motion and optimization without assuming prior calculus.
Weekly rhythm
- Start with the AM lesson. Read the notes, work through the examples, and do the inline problems as they appear.
- After the AM lesson, complete the exercise PDF for that lesson.
- Then move to the PM lesson. Again, read the notes in order and do the inline problems before moving on.
- Finish the week with recitation: do the inline recitation problems first, then the recitation exercises.
- Do the homework last. Each homework is due when the next homework is released.
Course themes
- Functions, graphs, domains, ranges, and the language of mathematical models.
- Limits and continuity as the bridge from algebra to calculus.
- Derivative rules, implicit differentiation, and tangent-line approximation.
- Applications to velocity, optimization, monotonicity, and concavity.
Prerequisites
No prerequisites.
Course direction
The course is meant to make differentiation usable: read graphs, compute derivatives, interpret rates of change, and solve first optimization problems without treating the rules as magic. The notes are the main source; videos and PDFs are support.
References
Outside notes, textbooks, or course pages worth keeping around.
course inspiration
MIT 18.01.1x: Calculus 1A - Differentiation
MIT's differentiation-focused course page. Good fit for the tone of this class: computational, geometric, and application-aware without turning into analysis.
main reference
OpenStax Calculus Volume 1
A more standard first-course text than Spivak: clearer, lighter on proofs, and better aligned with an A-level-to-early-university transition.
alternate reference
Essential Calculus: Early Transcendentals by James Stewart
A more traditional calculus text with lots of worked examples and routine practice. Useful if you want a familiar classroom-style backup reference.