MAT 2210 · Calculus I & II
Calculus
A complete calculus course: 8 units covering limits, derivatives, integrals, techniques, applications, and series — each with lecture videos, notes, worked examples, class exercises, an assignment, and curated references. Three 20-question unit tests plus a 40-question final exam earn your certificate.
Course progress
0/8 units · 0/3 unit tests · Final exam pending · 0/12 total
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Units
MAT 221
1. Limits & Continuity
The precise meaning of approaching a value, and where functions break.
≈ 3.5 h
MAT 222
2. The Derivative — Definition & Interpretation
Instantaneous rate of change from the limit of a difference quotient.
≈ 3 h
MAT 223
3. Differentiation Rules
Power, product, quotient, chain, and derivatives of trig / exp / log.
≈ 3.5 h
MAT 224
4. Applications of Derivatives
Related rates, optimization, linear approximation, and Mean Value Theorem.
≈ 3.5 h
MAT 225
5. Integrals & the Fundamental Theorem of Calculus
Antiderivatives, Riemann sums, definite integrals, and FTC.
≈ 3.5 h
MAT 226
6. Techniques of Integration
u-substitution, integration by parts, partial fractions, trig integrals.
≈ 3.5 h
MAT 227
7. Applications of Integration
Area between curves, volumes of revolution, arc length, average value.
≈ 3 h
MAT 228
8. Sequences, Series & Convergence
Geometric, p-series, tests for convergence, Taylor & Maclaurin.
≈ 3.5 h
Unit tests
MAT 230A
Unit Test I — Units 1–3
Limits, the derivative, and differentiation rules. 20 questions, pass with 14/20.
20 questions · pass at 14/20
MAT 230B
Unit Test II — Units 4–6
Applications of derivatives, integrals & FTC, techniques of integration. 20 questions, pass with 14/20.
20 questions · pass at 14/20
MAT 230C
Unit Test III — Units 7–8
Applications of integration and series. 20 questions, pass with 14/20.
20 questions · pass at 14/20
Final exam
MAT 299
Comprehensive Final Exam
40 questions across all 8 units. Pass with 28/40 correct.
40 questions · pass at 28/40
Certificate of completion
Finish every unit, pass all three unit tests, and pass the final exam to automatically issue your MAT 2210 Calculus certificate and academic transcript in your Certificate Library.