MAT   122   CALCULUS  WITH ANALYTIC GEOMETRY II  

 

Prerequisite: MAT 121 or the equivalent

A study of integration and transcendental functions including applications.

 

Rationale                                         

 

This course is intended for mathematics majors, minors, and others as required by their major. Calculus has applications in many fields such as business, science, computer science, and engineering.

 

Professor 

 

 

Office Hours:  vary by semester

 

Learning Objectives

At the conclusion of the course, successful students should :

·        Calculate the indefinite integral of a function:

·        State the Fundamental Theorem of Calculus

·        Compute the definite integral of a function

·        Calculate the area between two curves

·        Calculate the volume of a solid of revolution

·        Find the arc length of a plane curve

·        Find the surface area of a surface of revolution

·        Solve application problems

·        Demonstrate several techniques of integration to include parts, trigonometric substitutions, partial fractions, etc.

·        Use L’Hospital’s Rule

 

Academic Integrity

 

Honesty and integrity are basic virtues expected of all students at Mississippi College.  The Mississippi College Undergraduate Catalog (p. 60 in the 2008-09 edition) lists the policies and penalties for dishonesty.  You will also find policies concerning cheating in the 2007-2008 Mississippi College Student Handbook.  On tests, quizzes, and individual out-of-class work, the work is assumed to be the student’s own and no cheating will be tolerated.

 

 

 

Outline of Topics: (Selected from Chapters 4-7)

Ř  Riemann sums

Ř  Indefinite Integrals

Ř  Definite integrals

Ř  Applications

v Differential equations

v Area of a region between two curves

v Volume of a solid of revolution

v Length of Arc

v Surface Area

Ř  Techniques of Integration

v Integration by parts

v Trigonometric integrals

v Partial fractions

Ř  Indeterminate forms and L=HÔspital=s Rule

 

Instruction:

 

The method of instruction will include lecture, group problem solving, individual problem solving, class discussion, quizzes, and examinations. Each student is expected to have a textbook, writing materials, and a calculator daily.   Graphing calculators with symbolic manipulation capabilities are NOT allowed.  The class demonstrations will use a TI-83 of a TI-84+. (To check one out see Dr. Gann in MCC 318.)

 

Required Practices:  

 

Students are expected to attend all class meetings, read the text (yes, I know. . . a novel idea), complete written homework assignments, review class notes, and prepare for quizzes and tests. Students are also encouraged to promptly seek help (before the next class) from Dr. Floyd when assistance in understanding the material is needed.

 

Instructional Materials:

 

Text:  Larson, R. E., Hostetler, R.P., & Edwards, B.H.  (2007)  Calculus:  Early Transcendental Functions (3rd Ed.).  Boston:  Houghton Mifflin.   ISBN:  978-0-618-60624-5

 

Graphing Calculator:   Classroom demonstrations will use the TI-83.  Graphing calculators will be allowed during class and on tests.  Models not permitted are those with symbolic manipulation capabilities such as the TI-89.

 

Assessment:  

 

Assessment of the student=s progress will be made through active class participation, homework evaluation, quizzes, and examinations.  There will probably be three examinations as time permits (worth 100 points each).  A comprehensive final will be given. and it is worth 150 points. The final grade in the course will be based on total points as follows:

 

90 - 100% of the total points   =  A

80 -   89% of the total points   =  B

70 -   79% of the total points   =  C

60 -   69% of the total points   =  D

below 60% of the total points  =  F

 

Other Policies

 

        Attendance:  You are expected to be in class on time and prepared!  The college stipulates that the grade for the course is automatically an F in the event of 12 absences. Tardiness to class will result in a 0 for the daily grade if a quiz was missed or homework was collected unless the student provides an acceptable reason for class disruption.  (See the 2008-2009 Mississippi College Undergraduate Catalog.)  If a student is late, they must see Dr. Floyd immediately after class with a reason to change the recorded absence to tardy. 

 

        Make-up work is the responsibility of the student and should be cleared with the instructor in advance with an excuse.  Students are responsible for all material covered and all assignments given when they are absent.   If a student misses a grade due to being tardy or absent, they must present an acceptable reason to Dr. Floyd in order to make-up work.  Reasonable excuses include documented illness, unexpected emergencies, student activities, etc. 

 

 

 


STUDENT RESPONSIBILITIES

<          Attend all class meetings on time. See the previous statements about consequences of being absent or tardy.         (If you want extra time on a quiz, be in class a few minutes early.)

<          Read the assigned material.

<          Attempt to complete all homework assigned before the next class meeting.

<          See Dr. Floyd before the next class meeting if you are unable to complete most of the homework.

 

 

INSTRUCTOR’S RESPONSIBILITIES:

 

<          Begin class on time (and end class on time :-).

<          Be prepared to explain content, vocabulary, symbols, applications and calculator use.

<          Demonstrate mathematical relationships.

<          Evaluate student comprehension of content, vocabulary, symbols, applications and calculator use.

 

MISSISSIPPI COLLEGE ACADEMIC POLICIES:

Students should consult the Mississippi College policy manual located at http://www.mc.edu/resources/publications/policies/ for official information regarding:

 

Students who may require accomodation due to a documented handicap should follow the procedures located at http://www.mc.edu/about/offices/counseling/disabilities/

 

The Generic Grading Scale for this course is A = 90-100, B = 80-89, C = 70-79, D = 60-69.  Individual instructors are free to choose a different grading scheme so students should consult their section's particular syllabus for the official grading scale to be utilized.

 

Tutoring Hours:

Hours and location for the departmental tutoring center are posted at http://www.mc.edu/academics/academic-tutoring/ .