Syllabus
Class Notes
The above link is to the fill-in-the-blank class notes. Print out these out and bring them with you to class every day, because we will use these each class period. You will need to bring scratch paper or a notebook as well to work out all the problems.
Homework
Homework will be done online. More instructions are in the syllabus. Additional homework will be posted here and announced in class. For the videos: watch the video, take notes, and solve the problems presented in the video. These will be collected in class.
Supplemental Material
Derivative and Antiderivative Formulas
Test Practice
Chapter 6 Worksheet: U-sub, Area Between Curves, Disk/Washer Volumes
Technique Videos
u-substitution: indefinite integral, definite integral, definite integral (more detail on changing limits of integration)
Area between two curves: video
Arc Length: video
Volume of Revolution (disk/washer): Integral with respect to x, Integral with respect to y
Volume of Revolution (cylindrical shell): Integral with respect to x, Integral with respect to y
Work: spring, object and cable, pump water out of a tank
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Chapter 7 Worksheet , Extra Practice
Technique Videos
Integration by Parts: video
Trig Integrals: sine and cosine, tangent and secant
Trig Substitution: intro + sine example, tangent example, secant example, completing the square example
Partial Fractions: fraction decomposition 1, fraction decomposition 2
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Chapter 11 Worksheet, 11.1-11.5 Practice , 11.6-11.10 Practice
Technique Videos
l'Hopital's Rule: video
Special Types of Series: Geometric Series, Telescoping Series, Harmonic Series
n-th Term Test for Divergence: video
p-Series: video
Integral Test: video
Direct Comparison Test: video
Limit Comparison Test: video
Alternating Series Test: video
Ratio Test: video
Root Test: video
Representing a Function as a Geometric Series: part 1, part 2
Taylor and Maclaurin Series: intro video, examples, more examples
Taylor's Remainder Theorem: video
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Technique Videos
Drawing Slope Fields (aka Direction Fields): video
Checking Solutions to Differential Equations: video
Solving Differential Equations Using Power Series: video
Solving Separable Differential Equations: video
Derivatives of Parametric Equations: video (1st derivative), video (2nd derivative)
Arc Length of Parametric Curves: video
Area Inside One Leaf of a Polar Curve: video