Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Arc Length. Discovery Project: Arc Length Contest. Area of a Surface of Revolution. Discovery Project: Rotating on a Slant. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups.
Applications to Economics and Biology. Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Models for Population Growth. Applied Project: Calculus and Baseball. Linear Equations. Predator-Prey Systems. Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids.
Calculus with Parametric Curves. Laboratory Project: Bezier Curves. Polar Coordinates. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Laboratory Project: Logistic Sequences. The Integral Test and Estimates of Sums.
The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the. Binomial Series. These quizzes will be timed assignments on Webassign and will generally be due one day after the homework assignment.
There may be additional quizzes in the discussion sections. WebAssign: The homework for Math is assigned online using the online home work system WebAssign. You can access your homework through Husky CT. Calculators: You can use TI 82,83, 83plus, 84, 84 plus, You will not be allowed to use TI and above models during the exam.
I didn't mean to include the App D for tonight! We aren't there yet. Here are 30 minutes of videos taking us from understanding where the points on the unit circle come from to graphing the sine and cosine functions from these points.
Here, Professor Norm Prokup does it with a bit of simple geometry Pythagorean theorem , which will prepare you well for calculus — which after all relies on analytic geometry!
Trig 1 , Trig 2 , Trig 3 , and Trig 4. Trig 5 , Trig 6 , Trig 7 , and Trig 8. Check it out. Here are a couple of items I promised today. They should help. You can start using the Stewart Calculus e-book on your Cengage site now. It's in the same box as the Precalculus book. I could have been using the calculus book's section numbers from the start, but I honestly did not understand the schema. The only one that wasn't replicated in the precalculus was the App D.
Which I taught with videos and my notes. Friday Panopto recording. See the WebAssign that are due early in week and get those going, don't wait till you are late.
View the super short Where e comes from. Read Calculus e-book Sec 1. You can do WebAssign before they are due for most of the ones listed in last week's summary. Finding limits from a graph little rough quality, but good. Evaluate limits using properties, Ex 1. Evaluate limits using properties, Ex 2. More techniques for evaluating limits, Ex 3.
Optional, good insight, might actually help you better understand the actual limits we have done:. Precise definition of limit. Practice for mini-quiz and rest of course. Ex 4 involving radicals. Ex 5 also with radicals. Ex 6 involving rational expressions. Change in plans — There is no skills test, due to a lack of time to thoroughly cover the rest of limits and review for Monday's final.
I didn't figure Fall Break into my calendar. Do the following Stewart Calculus Exercises and have questions for any and all sections ready to ask in class.
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