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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

COURSE TITLE:

Calculus II

 

PREFIX/NUMBER:

MAT 202

CREDIT HOURS:

5

2.

Prerequisites:

Successful completion of MAT 201 with a C or better.

3.

RESOURCES NEEDED:

 
 

TEXT:

Single Variable Calculus, 5/e, James Stewart

 

Supplies:

 Paper, pencil, scientific calculator.

4.

Course DESCRIPTION:

Continuation of single variable calculus which will include techniques of integration, polar coordinates, analytic geometry, improper integrals, and infinite series.

5. STANDARD COMPETENCIES:
  A. Write and state clearly the definitions and properties, differentiate, and integrate logarithmic and exponential functions.
  B. Set up and solve applied problems involving logarithmic and exponential functions as selected by the instructor.
  C. Differentiate and integrate the inverse trigonometric functions.
  D.

Define, differentiate and integrate hyperbolic functions as selected by the instructor.

  E. Use the appropriate algorithm(s) - including integration by parts, trigonometric substitutions, partial fractions, numerical methods, etc. - to integrate algebraic, logarithmic, exponential, trigonometric, and composite functions.
  F. Use various limit theorems to evaluate improper integrals.
G. Determine the convergence or Divergence of various sequences and series.
H. Use Taylor and Maclaurin series to express selected functions.
I. Use Taylor's formula with remainder to approximate selected functions.
J. Identify and graph equations involving a variety of conic sections.
K. Convert between Cartesian and polar coordinates.
L. Graph and determine the area of regions defined by polar coordinates.
M. Simplify all answers using algebraic techniques.
N. Read, analyze, and apply written material to new situations.
O. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.
6. COURSE OUTLINE (Starting with Chapter 7)
7.0 Inverse Functions:  Exponential, Logarithmic, and Inverse Trigonometric Functions
7.1  Inverse Functions
7.2  Exponential Functions and Their Derivatives
7.3  Logarithmic Functions
7.4  Derivatives of Logarithmic Functions
7.5  Inverse trigonometric functions
7.6  Hyperbolic Functions
7.7  Indeterminate Forms and L'Hospital's Rule 
8.0 Techniques of Integration
8.1  Integration by Parts
8.2  Trigonometric Integrals
8.3  Trigonometric Substitution
8.4  Integration of Rational Functions by Partial Fractions
8.5  Strategy for Integration
8.6  Integration Using Tables and Computer Algebra Systems
8.7  Approximate Integration
8.8  Improper Integrals
9.0  Further Applications of Integration
9.1  Arc Length
9.2  Area of Surface Revolution
9.3  Applications of Physics and Engineering
9.4  Applications of Economics and Biology
9.5  Probability
10.0 Differential Equations
10.1  Modeling with Differential Equations
11.0 Parametric equations and Polar Coordinates
11.1  Curves defined by Parametric Equations
11.2  Calculus with Parametric Curves
11.3  Polar Coordinates
11.4  Areas and Lengths in Polar Coordinates
11.5  Conic Sections
11.6  Conic Sections in Polar Coordinates
12.0 Infinite Sequences and Series
12.1  Sequences
12.2  Series
12.3  The Integral Test and Estimates of Sums
12.4  The Comparison Tests
12.5  Alternating Series
12.6  Absolute Convergence and teh ratio and Roots Tests
12.7  Strategy for Testing Series
12.8  Power Series
12.9  Representation of Functions as Power Series
12.10  Taylor and Maclaurin Series
12.11  The Binomial Series
12.12  Applications of Taylor Polynomials

7.

 EVALUATION PROCEDURES
 

Evaluation methods and procedures will be determined by the instructor.   These may consist of but not limited to:  quizzes, assignments, exams, individual and/or group projects.

Grading Scale:

90% - 100% - A

80% - 89% - B

70% - 79% - C

60% - 69% - D

0% - 59% - F

8. SPECIAL REMARKS
Homework: Homework will be assigned and evaluated as determined by the instructor.

Cheating:

If cheating occurs, it will result in a zero on that exam.

Attendance:

Attendance will be taken and students will be dropped when they have  missed 20% of the total class time.  Missed exams  will result in a zero for that exam unless prior arrangements have been  made.

Conduct: Professional and courteous behavior is expected at all times.  Disruptive behavior is unacceptable in the classroom and may result in the student's temporary or permanent removal from the course.

Help is available outside of class in the math lab or from your instructor.

The CD-ROM, Journey Through Calculus, is available to supplement the text and classroom lectures.
The “PLATO” system in the Learning Center (AB 150) can be applied to the course outline in the following manner:
Unit 1 and 2 – ca2a, ca2b, ca2c, ca2d, ca2e
Unit 3 – ca2f, ca2g, ca2h, ca2I, ca2j, ca2k, ca2l
Unit 4 – ca2m, ca2n, ca2o, ca2p, ca2q

8.

ACADEMIC INTEGRITY:

 

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Sanctions for violating the standards of academic integrity may include warning, probation, suspension, and/or failure of the course or assignment at the discretion of the instructor..

9.

ADA NOTICE:

 

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.