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PELLISSIPPI STATE TECHNICAL COMMUNITY COLLEGE
MASTER SYLLABUS

CALCULUS II
MATH 1920

Class Hours: 4.0

 

Credit Hours: 4.0

 

Laboratory Hours: 0

 

Date Revised: Fall 09

 

 

 

 

 

Catalog Course Description:

 

 

 

Integral calculus with applications.  Topics include methods of integration, sequences, series, and an introduction to polar coordinates and differential equations.  Applications include real world problems in physics, engineering, economics, and biology.

Entry Level Standards:

 

 

 

A thorough knowledge of differential calculus including trigonometric functions.

Prerequisite:

 

 

 

 MATH 1910

Textbook(s) and Other Reference Materials Basic to the Course:

 

 

Textbook:

Calculus: Early Transcendentals by Jon Rogawski,, First Edition,  W.H. Freeman and Company, 2008.
References:

Stewart, James.  Calculus Concepts and Contexts, Third Edition. Brooks/Cole, 2001.
Swokowski, Earl.  Calculus with Analytic Geometry, Sixth Edition, PWS-Kent  Publishing Co., 1994. Software: MathCAD, MathSoft, Inc., Cambridge, Mass.
Technology Requirement:
Calculator: A graphing calculator is required.  The TI-84 or TI-84 Plus is recommended.  Symbolic calculators are not permitted.

I. Week/Unit/Topic Basis:

 

 

 

Week 

Topic

 

1

Antiderivatives, approximating areas, definite integrals

 

2

The fundamental theorem of calculus, net change, substitution method

 

3

Substitution method

 

4

Transcendental functions

 

5

Area between curves, volume, density, average value

 

6

Volume, numerical integration

 

7

Integration by parts, trigonometric integrals, trigonometric substitution, partial fractions

 

8

Improper integrals

 

9

Arc length, surface area, center of mass

 

10

Modeling with differential equations

 

11

Sequences, infinite series, convergence

 

12

Ratio and root tests, power series, Taylor series

 

13

Parametric equations, arc length and speed

 

14

Polar coordinates, area and arc length

 

15

Final exam

II. Course Objectives*:

 

 

 

A.

Evaluate integrals of algebraic and transcendental functions.  VI.1-6

 

B.

Become familiar with several techniques of integration.   VI.1-6

 

C.

Evaluate integrals with indeterminate forms.   VI.1-6

 

D.

Understand the behavior of infinite series.   VI.1-6

 

E

Solve problems using polar coordinates.   VI.1-6

 

F.

Apply calculus techniques to real world applications.   VI.1-6

*Roman numerals after course objectives reference goals of the TBR program.

III. Instructional Processes*: 

 

 

Students will:

 

 

 

 

1.

Analyze real life problems such as displacement, velocity, acceleration, total area,   mass, volume.  Mathematics Outcome, Technological Literacy Outcome, Transitional Strategy,  Active  Learning Strategy

 

2.

Advance skills in analysis, symbol manipulation, and graphical conceptualization. Mathematics Outcome, Technological Literacy Outcome, Transitional Strategy,  Active  Learning Strategy

 

3.

Use graphing calculators and/or computer software to explore integrals.    Mathematics Outcome, Technological Literacy Outcome

*Strategies and outcomes listed after instructional processes reference TBR’s goals for strengthening general education knowledge and skills, connecting coursework to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process.

IV. Expectations for Student Performance*: 

 

 

Upon successful completion of this course, the student should be able to:

 

1.

Integrate exponential, trigonometric, inverse trigonometric, natural and general logarithmic functions.  A

 

2.

Integrate by parts and by substitution.  B

 

3.

Integrate trigonometric integral using identities.   A, B

 

4.

Integrate rational functions by partial fraction decomposition.  B

 

5.

Use a table of integrals to evaluate an integral.  B

 

6.

Integrate indeterminate forms and improper integral.  B, C

 

7.

Test for convergence and divergence of infinite series.   D

 

8.

Give power series representation of a function.   D

 

9.

Model with differential equations.   F

 

10.

Graph parametric and polar equations.   E

 

11.

Work calculus applications in polar coordinates.   E, F

*Letters after performance expectations reference the course objectives listed above.

V. Evaluation:

 

 

 

A. Testing Procedures:

 

Students are evaluated primarily on the basis of tests and quizzes.  A minimum of four major tests is recommended.  See individual instructor's syllabus.

 

B. Laboratory Expectations:

 

 None

 

C. Field Work:

 

 None

 

D. Other Evaluation Methods:

 

See individual instructor's syllabus.

 

E. Grading Scale:

 

93    - 100        A
88    -   92        B+
83    -   87        B
78    -   82        C+
70    -   77        C
60    -   69        D
Below 60        F

VI. Policies:

 

 

 

A. Attendance Policy:

 

Pellissippi State Technical Community College expects students to attend all scheduled instructional activities. As a minimum, students in all courses must be present for at least 75 percent of their scheduled class and laboratory meetings in order to receive credit for the course. Individual departments/programs/disciplines, with the approval of the vice president of Academic and Student Affairs, may have requirements that are more stringent. 

 

B. Academic Dishonesty:

 

Academic dishonesty in any form is prohibited and will be dealt with severely.  Penalties range from an F or a zero for the specific project or examination to automatic failure for the course for all students involved.  Individual instructors must distribute their policy on academic dishonesty during the first week of class.

               C. Accommodations for Disabilities:

 

Students who need accommodations because of a disability, have emergency medical information to share, or need special arrangements in case the building must be evacuated should inform the instructor immediately, privately after class or in her or his office.  Students must present a current accommodation plan from a staff member in Services for Students with Disabilities (SSWD) in order to receive accommodations in this course. Services for Students with Disabilities may be contacted by going to Goins 134 or 126 or by phone: 694-6751(Voice/TTY) or 539-7153. More information is available at www.pstcc.edu/departments/swd/

               D.  Cell phones:

 

Cell phones are to be either turned off or put on vibration mode while in class.  Instructor discretion as to penalty.