Objective: To develop students' problem solving skills using the techniques of calculus through numeric, analytic, graphical and symbolic approaches.

Intended for: Students other than mathematics and physical sciences majors who are interested in applications of math to their majors.

Prerequisite: Three years of high school math, including two years of algebra and one year of geometry, or GS 130 completed for a grade, or MATH 102.

Resources: "Applied Calculus for Business, Social Sciences and Life Sciences," by Deborah Hughes-Hallet, et al, Preliminary Edition, John Wiley, 1996.

Graphing calculator or mathematical software (accessible via SSU computer network.)

Topics / Hours

Functions 11 hours

• Definition;
• linear functions and applications;
• exponential and logarithmic functions
• applications including growth, decay and compound interest;
• power functions;
• polynomials.

Differentiation 6 hours

• Rate of change,
• derivatives,
• interpretations of the derivative,
• second derivative,
• marginal cost and revenue.

Definite Integral 5 hours

• Measuring distance traveled,
• definite integrals,
• area,
• average value,
• interpretations of the definite integral.

Differentiation Formulas 5 hours

• Derivative formulas for:
  • power functions and polynomials,
  • exponential and logarithmic functions,
• the chain rule,
• product and quotient rules.

Applications of the Derivative 6 hours

• The use of the first and second derivatives in curve sketching and in the qualitative study of curves;
• Optimization and its applications in economics.

Applications of the Definite Integral 4 hours

• Applications to
  • life sciences,
  • economics, and
  • distribution functions.

Tests, review or optional topics 5 hours

Total 42 hours

NOTE: ONCE A STUDENT HAS RECEIVED CREDIT, INCLUDING TRANSFER CREDIT, FOR A COURSE, CREDIT MAY NOT BE RECEIVED FOR ANY COURSE WITH MATERIAL THAT IS EQUIVALENT TO IT OR IS A PREREQUISITE FOR IT.

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