**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)

Ø
Riemann sums

Ø
Indefinite
Integrals

Ø
Definite
integrals

Ø
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

Ø
Techniques of
Integration

v
Integration by parts

v
Trigonometric
integrals

v
Partial fractions

Ø
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*

__Instructional
Materials:__

*Text:* Larson, R. E., Hostetler, R.P., &
Edwards, B.H. (2007) *Calculus: Early Transcendental Functions *(3^{rd}
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:

- Class attendance - Policy 2.10
- Grading - Policy 2.15
- Cheating - Policy 2.19
- Counseling and Career Services - Policy 2.25
- Research - Policy 2.27
- Counseling and Testing Center - Policy 2.34

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/ .