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MATH 1433

This is an archive of the Common Course Outlines prior to fall 2011. The current Common Course Outlines can be found at http://www.gpc.edu/programs/Common-Course-Outlines.   
Credit Hours   3   
Course Title   Applied Calculus   
Prerequisite(s)   MATH 1101, MATH 1111, or MATH 1113 with a "C" or better   
Corequisite(s)   None Specified   
Catalog Description   
This course provides a non-rigorous introduction to the basic ideas and techniques of
differential and integral calculus, especially as they relate to applications in business, economics, life sciences, and social sciences.    

Expected Educational Results   
As a result of completing this course, the student will be able to:
1. Locate and describe discontinuities in functions.  
2. Evaluate limits for polynomial and rational functions.
3. Compute and interpret the derivative of a polynomial, rational, exponential,
or logarithmic function.
4. Write the equations of lines tangent to the graphs of polynomial, rational,
exponential, and logarithmic functions at given points.
5. Compute derivatives using the product, quotient, and chain rules on polynomial,
rational, exponential, and logarithmic functions.
6. Solve problems in marginal analysis in business and economics using the derivative.
7. Interpret and communicate the results of a marginal analysis.
8. Graph functions and solve optimization problems using the first and second
derivatives and interpret the results.
9.   Compute antiderivatives and indefinite integrals using term-by-term integration
or substitution techniques.
10. Evaluate certain definite integrals.
11. Compute areas between curves using definite integrals.
12. Solve applications problems for  which definite and indefinite integrals are
mathematical models.
13. Solve applications problems involving the continuous compound interest formul
   
General Education Outcomes   
I. This course addresses the general education outcome relating to communication by providing
additional support as follows:    
A. Students develop their listening skills through lecture and through group problem
solving.
B. Students develop their reading comprehension skills by reading the text and by
reading the instructions for text exercises, problems on tests, or on projects.  
Reading the mathematics text requires recognizing symbolic notation as well as
analyzing problems written in prose.  
C. Students develop their writing skills through the use of problems which require
written explanations of concepts.  

II. This course addresses the general education outcome of demonstrating effective individual
and group problem solving and critical thinking skills as follows:    
A. Students must apply mathematical concepts previously mastered to new problems
and situations.  
B. In applications, students must analyze problems and describe problems with either
pictures, diagrams, or graphs, then determine the appropriate strategy for
solving the problem.  

III. This course addresses the general education outcome of using mathematical concepts to
interpret, understand, and communicate quantitative data as follows:    
A. Students must demonstrate proficiency in problems-solving skills.  These include
business applications of the derivative and the integral.
B. Students must apply calculus concepts to marginal analysis and optimization
problems, using their results to make business decisions and predictions.    

Course Content   
1. The derivative, derivative formulas, and marginal analysis
2. Graphing and optimization
3. Special derivatives: exponential and logarithmic functions
4. Integration and applications in business and economics

ENTRY-LEVEL COMPETENCIES
Upon entering this course, the student should be able to do the following:
1. Analyze problems using critical thinking skills.
2. Construct meaningful mathematical statements using algebraic symbols and notation.
3. Solve the following kinds of equations
a. Rational (leading to linear and quadratic)
b. Logarithmic
c. Exponential
4. Solve the following kinds of inequalities
a. Rational
b. Factorable polynomial of degree 2, 3, or 4
5. State the definition of a function and use function notation.
6. Identify and graph the following types of functions in two variables
a. Linear
b. Quadratic
c. Exponential
d. Logarithmic
7. Define exponential and logarithmic functions; use the properties of logarithms.
8. Evaluate expressions involving exponential and logarithmic functions of x  
using a calculator.

Assessment of Outcome Objectives   
I. COURSE GRADE
The course grade will be determined by the individual instructor using a variety
of evaluation methods such as tests, quizzes, projects, homework, and writing
assignments.  A comprehensive final examination is required that must count at
least one-fourth and no more than one-third of the course grade.

II. DEPARTMENTAL ASSESSMENT
The course will be assessed every 5 years. The assessment instrument will consist
of a set of  free-response questions included as a portion of the final exam for
all students taking the course.   The assessment instrument will be graded by a
committee appointed by the Academic Group.

USE OF ASSESSMENT FINDINGS
The Math 1433 committee, or a special assessment committee appointed by the Chair of the
Executive Committee, will analyze the results of the assessment and determine implications  
for curriculum changes.  The committee will prepare a report for the Academic Group
summarizing its findings.

EFFECTIVE DATE: August, 1998 APPROVED DATE:

Last Revised: Aug. 10, 2011
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