Princeton MAT 103: Calculus I
MAT 103 is Princeton's introductory Calculus I — limits, derivatives, applications of differentiation, and an introduction to integration — for students who need a calculus foundation before continuing in the sequence or supporting science and economics coursework.
Fennie is independent and not affiliated with Princeton University. This is an unofficial study guide.
Build my MAT 103 study planWhat makes it hard
Most lost exam points trace to algebra and precalculus gaps, not the calculus itself: students set up a derivative correctly and lose the problem to factoring or trig errors. The exams are time-pressured, so partial understanding that survives untimed homework collapses under exam conditions.
What you'll cover
- • Limits and continuity
- • Derivatives and differentiation rules
- • Implicit differentiation and related rates
- • Optimization and curve sketching
- • The Mean Value Theorem
- • Introduction to integration
The MAT 103 study guide
How to study for Princeton MAT 103, step by step.
- 1
Patch algebra and trig in the first two weeks
Most MAT 103 exam losses are algebra and trig errors inside correct calculus setups. Audit your precalculus honestly in week one and fix the gaps before the derivative units assume them.
- 2
Do calculus problems daily, not homework-night only
Homework with retries and resources is a misleading readiness signal. A daily set of problems solved cold builds the fluency the timed exams actually measure.
- 3
Drill the setup-heavy topics deliberately
Related rates and optimization fail at the setup, not the derivative. Practice translating each scenario into equations from scratch until starting a problem cold feels routine.
- 4
Simulate exams under time pressure
In the final week before each exam, work problems timed and without notes. Exams are designed to break untimed-homework confidence, so train the actual conditions.
- 5
Pace it around exam dates with Fennie
Upload your MAT 103 syllabus and Fennie's Daily Plan schedules daily problem reps and algebra/trig refreshers around the exam dates, with practice quizzes built from the actual course material. Free to start.
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How Fennie helps with MAT 103
Fennie's Daily Plans pace MAT 103 around the exam dates, with daily problem reps and built-in algebra and trig refreshers — the gaps that actually fail people. Chat works through related-rates and optimization setups step by step until you can start a problem cold, and practice quizzes simulate doing it under time.
FAQ
Is MAT 103 at Princeton hard?
It's manageable with steady work, but the difficulty is mostly precalculus gaps and exam time pressure rather than the calculus itself. Students with solid algebra and trig who do problems daily pass reliably; homework-night-only students get exposed under time.
Should I take MAT 103 or MAT 104?
MAT 103 is Calculus I (differentiation focus); MAT 104 is Calculus II (integration and series). Take 103 first unless you have calculus background that places you into 104. Math department placement guidance can confirm where you should start.
How do I pass MAT 103?
Fix algebra and trig weaknesses in the first two weeks, then practice exam-style problems under time limits without resources. Most lost points are setup and algebra errors, so untimed homework success is a misleading signal of readiness.
Pass MAT 103 with a plan, not a cram
Upload your MAT 103 materials and Fennie generates a Daily Plan paced to your deadline — plus chat, flashcards, and quizzes built from the actual course content.
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