Ma 241 section 7 Homepage
Useful Materials and Links:
Course Sylabus ( grading scheme office hours etc...)
Course Schedule ( homeworks assigned and test dates )
MAPLE
Webassign (homework)
My brother's website ( His links are useful, and he has
tests posted with solutions for MA 241 from last semester. Our tests will be of similar difficulty.)
Tests with Solutions:
Test one solution
Test two solution
Test three solution
Test four solution
final exam and solution
Course Notes:
Basics of integration: Course notes on the left, right, mid, and Riemann
rules. Also the defintion of the integral, antiderivatives and the Fundamental Theorem of calculus.
U-substitution: Course notes containing the 19 examples we covered
Integration by parts: Course notes on IBP.
Integration by Partial Fractions: Includes the general idea of the
method, how to integrate the basic rational funtions(page 28 for your reference I won't cover it in lecture),
and examples of how to algebraically set up and calculate
the partial fractal decomposition of a rational function and then integrate that.
Trigonometric Substitution and more: Course notes on how to integrate powers
of sine and cosine, then we calculate the area of a circle and explore some basic forms of a special kind of
u-substitution called trigonometric substitution
Course notes on numerical integration: Simpson's rule and trapezoid rule, discussion or errors
Course notes on improper integration: Integrals to infinity and integrals of infinity
Course notes on Areas bounded by curves: Graph, draw the box, and integrate.
Course notes on calculating volumes: Graph, draw the slice, and integrate.
Course notes on arclength: How to find the length of an arbitrairy curve
Course notes on averages of functions: generalizing the average to functions
Applications of calculus to physics work, pressure, force, and more.
Probability notes: Just the basics
Extra help about the pyramid type problems:
Direction Fields and Euler's Method basic terminology and graphing DEqs.
Seperation of variables seperate then integrate. A number of interesting examples given
Exponential and logistic models models defined and solutions derived and analyzed.
homogeneous 2nd order linear DEqns it's all about the characteristic equation
nonhomogeneous 2nd order linear DEqns method of undetermined coeficients
sequences and series basic examples and definitions
convergence tests we try to answer the ? of when does a series converge
estimating a series using other math to approximate series
power series defintions and some examples
power series BONUS EXAMPLES
Taylor series how to approximate a function with a series
binomial series
applications of Taylor series I show how to use Taylor series in a few
basic physical examples.
More study helps:
test 4 study guide overview of test
flowchart of convergence here's how to play
quizzes quizzes with solutions
practice test 4 the practice test and solution
final exam guide What is on the final
extra credit project solutions by Ginny. Warning, she's my wife so she
doesn't have to show all her work. You do not have this privilige on the final. Please ask me if you don't
understand some step she made, her work is very concise.The only integrals you should assume are the basic integrals those on page 372 of your text.
messy solutions by mesome extra credit problems worked out mostly on trig subst.
This is my niece (on my wife's side) won won and her mom. She lives in Canton Province China and
enjoys hotdogs and ketchup as you can see.

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Last Modified: 4-24-05