Calculus II


Spring Semester, 2017

CVCC Course Number - MATH 174 - 4 credit hours

INSTRUCTOR: Mrs. Shifflett        ROOM: 112


COURSE DESCRIPTION: A college level study of integral calculus, this course includes the study of Riemann Sums, antiderivative, definite and indefinite integrals, integration techniques, applications of integration, solving differential equations, convergence of sequences and series, and Taylor Series.  Upon completion of the course the students earn 4 semester hours from the Central Virginia Community College.


COURSE CONTENT: At the end of the semester, the student will be able to:

  • interpret the definite integral
  • perform integration using u-substitution, integration by parts, partial fractions, trigonometric substitution, power reduction of integrals involving trig functions and table look-up
  • approximate the definite integral using Riemann Sums, Trapezoidal Rule (with error) and Simpson’s Rule with error
  • apply L’Hopital’s Rule when evaluating limits
  • evaluate improper integrals
  • apply the definite integral (position-velocity-acceleration, growth and decay, work, force-pressure, economics, probability distributions, volumes by slicing, arc length and surface area), using rectangular and polar functions
  • solve separable differential equations using tables, slope fields, numerical techniques including Euler’s Method and algebraic techniques
  • solve logistic and preditor/prey population models
  • determine convergence/divergence of infinite sequences
  • determine convergence/divergence of geometric series
  • apply integral, comparison, alternating series, absolute convergence, and ratio tests to determine series convergence/divergence
  • determine radius of convergence of power series
  • find Taylor and MacLaurin polynomials and Taylor and MacLaurin series with error term


COURSE OBJECTIVES: At the end of the semester, students will have an understanding of the concepts and techniques listed above.  This understanding will be enhanced, when appropriate, through directed group and individual computer exercises and group and individual projects. 


HONOR CODE: Students are required to pledge all work that they turn in for a grade.  Refer to CVGS Student Handbook for complete requirements.


CLASS METHODOLOGY: A typical class will consist of lecture, but student involvement is highly encouraged.  Homework due dates are listed on the calendar, but may change at my discretion.  Homework will be turned in at the beginning of class.  Select problems will be graded.  Tests will typically be at the end of a chapter.  Throughout the semester there may also be projects or extra assignments given.  I have an open door policy for extra help, please seek me out early!  Small questions can be covered before or after class.  Large issues can be tackled on Fridays or Saturdays.  I will also have days built into the calendar specifically for questions during class.  Be prepared on these day.  No questions means we move on!


All notes and supporting documents will be available online for student viewing.  I will post the notes-outline prior to class and then post the notes that were taken during class.  I strongly advise you to print out any notes that you have missed (or copy them from a classmate).  Use these notes and the book to help prepare for assignments and tests.  If you are having trouble, use the extra problems in the book as extra practice!


GRADING: The semester grade will be determined as follows:


                                                            Tests:  50%

                                                            Homework: 5%

                                                            Projects: 20%

                                                            Exam:  25%


ABSENCES/TARDINESS: If a student is absent (excused) for only one class meeting, then upon return, he/she is expected to have completed the work which was due on the day of absence.  If a test was missed, then the student is expected to take the test on the day of return.  If a student misses two or more consecutive class meetings, then he/she should talk to the instructor to devise a game plan to catch up.  Absences for any other reason need to be discussed with the instructor in advance.  Failure to do so will result in an unexcused absence.  Work missed because of an unexcused absence cannot be made up.  If a test is missed because of an unexcused absence, then that test grade will be lowered by 10 points for each day late.  You are expected to be in class on time.  You will be allowed one and only one tardy "on the house" each 9-weeks.  After that you will pay 1/2 a point off your semester grade for any additional tardies!