MATH 102 lecture notes
14 sections178 worked examples226 exercises72 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 5 sections with 4 different instructors. Before an exam, check them against your own instructor's slides; those are what bind you.
241 entries across 14 sections
01Sequences: convergence, limit laws, and the monotonic sequence theoremweek 1 · §11.118 worked examples · 28 exercises · 5 figures02Series: partial sums, the geometric and telescoping series, and the Test for Divergenceweek 2 · §11.219 worked examples · 25 exercises · 4 figures03The Integral Test, the Comparison Tests, and Alternating Seriesweek 3 · §11.3, 11.4, 11.516 worked examples · 24 exercises · 4 figures04Absolute convergence, the ratio and root tests, a strategy for testing series, and power seriesweek 4 · §11.6, 11.7, 11.817 worked examples · 27 exercises · 5 figures05Power series representations, Taylor and Maclaurin series, and their approximationsweek 5 · §11.9, 11.10, 11.1116 worked examples · 27 exercises · 6 figures06Vectors, lines, and planes in spaceweek 6 · §12.1, 12.2, 12.3, 12.521 worked examples · 28 exercises · 7 figures07Cross products, curves in space, arc length and curvature, and first functions of several variablesweek 7 · §12.4, 10.1, 13.1, 13.2, 13.3, 14.118 worked examples · 26 exercises · 6 figures08Quadric surfaces, limits in two variables, and partial derivativesweek 8 · §12.6, 14.2, 14.319 worked examples · 26 exercises · 4 figures09Tangent planes, linear approximation, and the chain rule for functions of several variablesweek 9 · §14.4, 14.517 worked examples · 27 exercises · 5 figures10Directional derivatives, the gradient vector, and maximum and minimum valuesweek 10 · §14.6, 14.717 worked examples · 25 exercises · 6 figures11Double integrals over rectanglesweek 11 · §15.114 worked examples · 25 exercises · 5 figures12Double integrals over general regions, and polar coordinatesweek 12 · §15.2, 10.322 worked examples · 27 exercises · 6 figures13Double integrals in polar coordinates and triple integralsweek 13 · §15.3, 15.618 worked examples · 26 exercises · 6 figures14Triple integrals in cylindrical and spherical coordinates, and change of variablesweek 14 · §15.7, 15.8, 15.912 worked examples · 25 exercises · 3 figures
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