COURSE SYLLABUS*

GENERAL INFORMATION                                                                                   Spring 2017

Course title and number:            Math 202 Calculus II

Required Text:          Calculus, (10th ed.)                                  Larson, Hostetler, Edwards

Instructor's name:        Donald P. Robinson (Professor)

Office hours/location   H-23 . M 2-4 PM W 2:20-3:20 PM

Office Phone:           301-784-5237 Email: drobinson@allegany.edu

Class meeting time:

*Please note:  Under extenuating circumstances, the instructor has the right to change any course provisions or requirements during the semester.

I.          PURPOSE

A.      Catalog description

Includes a continuation of application of the definite and indefinite integral along with transcendental and hyperbolic functions, further techniques of integration, polar coordinates, parametric equations, and infinite series.  A graphics calculator such as the TI-85 or the Casio 9850G is required for this course.

B.      Course objectives:

1.       Students will apply the definite integral to areas, volumes, length of plane curves, areas of surfaces, and to problems involving work, liquid pressure and force.

2.       Students will be able to solve problems involving logarithmic and exponential functions as well as inverse trigonometric and hyperbolic functions.

3.       Students will be able to perform the following techniques of integration: by parts; substitutions with trig and other functions; partial fractions, improper integrals and other indeterminate forms.  Students will be able to calculate limits with L'Hopital's rule.

4.       Students will be able to graph and solve problems with conics and other analytic geometry problems.

5.       Students will be able to graph and solve area problems in polar coordinates; work with parametric equations.

6.       Students will understand infinite sequences and series, including power series and Taylor and Maclaurin series, and apply the techniques to integration, solution of differential equations, and even how the calculator works.

C.      The following General Education Goals are covered in the course:

1.       Scientific and Quantitative Reasoning.

2.       Critical Analysis and Reasoning .

II.          CLASS POLICIES

A.      Attendance

Required. Too many missed classes means failrue, so you will be dropped for non-attendance.

B.      Best practices: Do ALL (that is 100%) of assigned problems, checking answers when possible with the back of the book (BOB). Ask about the ones that you can't match in class. Much of class time can be spent as tutorial, since the lectures are entirely on line.

There will be four or five regular exams, one at the completion of each unit (see IV A for units), and a comprehensive exam. Some problems will be collected during the semester. This will be added to the exam scores in some way, determined at the time of the assignment. They might not necessarily count as bonus but might be part of the exam score. The last exam might count less than the others.

90 - 100 = A

80 -  89 = B

70 -  79 = C

60 -  69 = D

under 59 = F

There will be no X grades.

D.      Extra credit:  is not given in this course.

E.      Tutoring may be available at no cost.  Head over to the math study lab. Some of you may wish part-time employment as tutors.

F.      Assignments are for your benefit.  I don't assign unimportant problems.  This is your responsibility to develop your skill. Also, assignments must be submitted when required. If any assiegned problems seem unimportant, let me know.

G.      Assignments are to be prepared for submissions at the  beginning of the next class.  I can't reasonably answer homework questions on problems you haven't tried.

H.      Cheating will not be tolerated.  The Student Handbook describes the policy in regard to this matter.  You should make yourself familiar with this, or better yet, just don't do it.

I.       Make up exams will not be given.  If you are unable to attend the scheduled exam, and you have a sound reason for absence, then you must contact the instructor before the exam date.

III.         COURSE REQUIREMENTS

A.      Course outline

1.       Applications of integration

a.       Area between curves

b.       Volumes of solids of revolution with disks, washers, and shells

c.       Arc length, surface of revolution.

d.      Work

e.       Moments, center of Mass, Centroid

f.       Fluid pressure, fluid force.

2.       Integration Techniques, L'Hopital's Rule, Improper Integrals

a.       Integration rules

b.       Integration by parts

c.       Trigonometric Integrals

d.      Trigonometric Substitution

e.       Partial Fractions

f.       By Tables and other techniques

g.       Indeterminate Forms and L'Hopital's Rule

h.       Improper Integrals

3.       Infinite Series

a.       Sequences

b.       Series and Convergence

c.       Integral test and p-series

d.      Comparisons of series

e.       Alternating Series

f.       Ratio and Root tests

g.       Taylor polynomials and Approximations

h.       Power Series

i.        Representation of Functions by Power Series

j.        Taylor and MacLaurin Series

4.       Conic Sections, Parametric Equations, and Polar Coordinates

a.       Conics and Calculus

b.       Plane Curves and Parametric Equations

c.       Parametric Equations and Calculus

d.      Polar Coordinates and Polar Graphs

e.       Area and Arc Length in Polar Coordinates

f.       Polar Equations of conics and Kepler's Laws

5.       Differential Equations (Optional)

a.       First Order Linear Differential Equations

b.       Second Order Homogeneous Linear Equations

c.       Second Order Non-homogeneous Linear Equations

d.      Series Solutions of Differential Equations

B.      Assignments:  On the website. You can follow easily.

D.      Recommended Reading Assignments:  None, but the web always is useful.

E.      Supplemental Learning Resources:  Get a graphing calculator if you don't already have one.  Casio 9970, FX-2, TI-85, 86 or 89 or the 83+ are good suggestions.

IV. DISABILITY STATEMENT