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Math 162. Calculus II |
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Date |
Chap |
Topics |
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3 |
Review |
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5, 6 |
Review |
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7.1 |
Integration by Parts |
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7.2 |
Trigonometric Integrals I |
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Trigonometric Integrals II |
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7.3 |
Trigonometric Substitution |
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7.3-7.4 |
Rational Functions - Linear Factors |
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7.4 |
Repeated Factors |
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7.5-7.6 |
Integration Strategies/Tables/CAS |
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7.7 |
Trapezoidal Rule |
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LAB |
STEM. Numerical Integration. Suggested problem: Large amplitude
pendulum as in 7.7 #42 |
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7.8 |
Improper Integrals |
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8.1 |
Arclength |
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LAB |
STEM:
Improper Integral Lab |
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8.2 |
Surface of Revolution - Area |
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LAB |
Surface of Revolution Lab |
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8.3 |
Applications (Center of Mass) |
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8.3 |
Applications (Fluid Pressure) |
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Exam I |
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LAB |
Direction Fields |
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9.1 |
Differential Equations |
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9.3 |
Separable Equations |
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LAB |
STEM. Mixing/Cooling. Data acuisition -Modeling |
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9.3 |
Mixing Problems |
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9.4 |
Exponential Growth and Decay |
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9.5 |
Logistic Equation |
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Lab |
STEM. Populations of world countries based on UN data |
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9.6 |
Linear Equations - 1st Order |
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17.1 |
Second Order Equations |
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LAB |
STEM. Simple Harmonic Oscillators using Matlab Simulink |
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Exam II |
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10.1 |
Parametric Equations / Tangents |
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10.2 |
Arclength and Surface Area |
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LAB |
Parametic Curves |
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10.3 |
Polar Coordinates |
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LAB |
Polar Lab |
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10.3 |
Polar Coordinates - Tangents |
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10.4 |
Polar Coordinates - Area & Arclength |
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10.5 |
Conic Sections |
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10.6 |
Conic in Polar Coordinates |
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Review |
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Exam III |
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11.1 |
Sequences |
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11.1 |
Limits of Sequences |
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11.2 |
Series - Geometric |
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LAB |
STEM Geometric Series, Fractals |
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11.2 |
Convergence of Series |
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11.3 |
Integral Test |
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11.4 |
Comparison Test |
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11.5 |
Alternating Series |
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LAB |
Series Convergence Lab |
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11.6 |
Absolute Convergence |
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11.6 |
Ratio/Root Tests |
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11.7 |
Strategies |
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11.8 |
Power Series |
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LAB |
STEM. Taylor Series - Blackbody Radiation |
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11.9 |
Functions as Series |
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11.1 |
Taylor Series I |
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11.1 |
Taylor Series II/Binomial Series |
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LAB |
Binomial Series Lab |
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Review |
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7, 8 |
Review - Integration |
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9, 17 |
Review - Differential Equations |
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10 |
Review - Parametric Equations |
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11 |
Review - Series |
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