Math 132H section 1 -- Calculus II
Syllabus
Chapter 5 - Integrals
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5.1 Areas and Distances / Review
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5.2 The definite Integral / Review
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5.3 Fundamental Theorem of Calculus
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5.4 Indefinite Integrals and the Net Change Theorem
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5.5 The substitution Rule
Chapter 6 - Applications of Integration
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6.1 Area Between Curves
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6.2 Volumes
Chapter 7 - Techniques of Integration
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7.1 Integration by Parts
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7.2 Trigonometric Integrals
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7.3 Trigonometric Substitution
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7.4 Integration of rational functions (simplest case)
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7.5 Integration Strategies
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7.8 Improper Integrals
Chapter 11 - Sequences and Series
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11.1 Sequences
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11.2 Series
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11.3 The Integral Test and Estimates of Sums
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11.4 The Comparison Tests
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11.5 Alternating Series
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11.6 Absolute Convergence, Ratio and Root Tests
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11.7 Strategy for testing series
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11.8 Power Series
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11.9 Representation of functions as Power Series
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11.10 Taylor and Maclaurin Series
(no Multiplication and Division)
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11.11 Application of Taylor polynomials
(only Approximating functions by polynomials)
Chapter 10 - Parametric Equations and Polar Coordinates
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10.1 Curves defined by Parametric Equations
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10.2 Calculus with parametric curves (only Tangents and Arclength; exclude Area and Surface Area)
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10.3 Polar Coordinates
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10.4 Areas and length in polar coordinates