MATH 101 lecture notes
14 sections226 worked examples229 exercises84 figures
These notes are generated. They are written against the official syllabus week by week, and the section numbers are the ones the syllabus names; the book itself was not read into them. They cover the common curriculum of the course, not one particular section: this term it runs in 14 sections with 5 different instructors. Before an exam, check them against your own instructor's slides; those are what bind you.
446 entries across 14 sections
01Limits: definition, computation, one-sided and infinite limitsweeks 1–2 · §1.4, 1.5, 1.6, 1.831 worked examples · 36 exercises · 7 figures02Continuity, asymptotes, and limits at infinityweek 2 · §1.6, 1.815 worked examples · 29 exercises · 6 figures03Derivatives: definition and basic differentiation rulesweek 3 · §2.1, 2.2, 2.323 worked examples · 32 exercises · 5 figures04Chain rule, implicit differentiation, and derivatives of trig functionsweek 4 · §2.4, 2.5, 2.6, 2.825 worked examples · 32 exercises · 6 figures05Linear approximation, differentials, extreme values, and the Mean Value Theoremweek 5 · §2.9, 3.1, 3.216 worked examples · 29 exercises · 7 figures06Derivatives and the shape of a graph: increase, concavity, asymptotesweek 6 · §3.3, 3.4, 3.517 worked examples · 29 exercises · 6 figures07Curve sketching, optimization, and Newton's methodweek 7 · §3.6, 3.7, 3.917 worked examples · 28 exercises · 6 figures08Antiderivatives, area, and the definite integralweek 8 · §4.1, 4.2, 5.5, 4.317 worked examples · 28 exercises · 6 figures09Fundamental Theorem of Calculus and indefinite integralsweek 9 · §4.4, 4.5, 9.3, 5.125 worked examples · 37 exercises · 6 figures10Volumes by disks and washersweek 10 · §5.219 worked examples · 31 exercises · 5 figures11Volumes by shells and transcendental-function foundationsweek 11 · §5.3, 6.2*, 6.3*21 worked examples · 33 exercises · 6 figures12Inverse trigonometric functions, hyperbolic functions, and indeterminate forms revisitedweek 12 · §6.4*, 6.8, 6.623 worked examples · 28 exercises · 7 figures13Integration techniques: parts and trigonometric integralsweek 13 · §7.1, 7.8, 7.224 worked examples · 31 exercises · 6 figures14Trig substitution, partial fractions, numerical and improper integralsweek 14 · §7.3, 7.4, 7.5, 7.619 worked examples · 29 exercises · 5 figures
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