Summer 2013:  MATH 20 OL1:  Fundamental Concepts of Calculus II


Monday and Wednesday

5:30 PM until 9:00 PM

July 1, 2013 until August 7, 2013


MATH 20 is an introduction to integral calculus with a wide variety of applications.  MATH 19, or its equivalent, is a pre-requisite. 


Instructress: Joan Rosebush, (Rosi)

Office: Votey Hall 103

Telephone: (802) 656-8858

Fax: (802) 419-3847


Web-Site Address:



Live/Online Office Hours


Tuesday and Thursday from 6:00 PM until 7:30 PM


If you need help, please ask!  If you wish to meet with me other than during my office hours, please e-mail me days and times that are convenient for you to meet.  I would be happy to make an appointment with you!



TEXTBOOK:  CALCULUS WITH APPLICATIONS, 10th Edition, by Lial, Greenwell, and Ritchey



Final grade for the class is based upon:

Quiz Average: 50%,

Mid-Term Grade:  30%, and

Final Examination: 20%.


FINAL EXAMINATION will be cumulative.

Wednesday, August 7th:  5:30 PM until 9:00 PM


Make-up quizzes are not given.  It is in your best interest to take every quiz, the mid-term, and the final examination.  If you miss any of these, you earn a 0% for it.


No make-up evaluations are given. 





You are expected to actively participate in this course.  Perfect attendance may help your final average in the class. Less than perfect attendance will not help your final grade. Comprenez-vous?

Do you require special accommodations? Please let me know by Friday afternoon, July 5, 2013, at 4:00 PM.  I would be happy to accommodate you!  









Learning Objectives




‘The Fundamental Theorem of Calculus’

‘The Area Between Two Curves’

‘Integration by Parts’

‘Volume and Average Value’

‘Continuous Money Flow’

‘Improper Integrals’

‘Functions of Several Variables’

‘Partial Derivatives’

‘Maxima and Minima’

‘Lagrange Multipliers’

‘Total Differentiation and Approximations’

‘Double Integrals’

‘Solutions of Elementary and Separable Differential Equations’

‘Euler’s Method’

‘Applications of Differential Equations’

‘Continuous Probability Models’

‘Expected Value and Variance of Continuous Random Variables’

‘Special Probability Density Functions’

‘Geometric Sequences’

‘Annuities:  An Application of Sequences’

‘Taylor Polynomials at 0’

‘Infinite Series’

‘Taylor Series’

‘Newton’s Method’

‘L’Hopital’s Rule’

‘Integrals of Trigonometric Functions’