Dec 02, 2022  
2021-2022 Lane Community College Catalog 
2021-2022 Lane Community College Catalog [ARCHIVED CATALOG]

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MTH 241 - Elementary Calculus 1

4 Credit(s)

Differential calculus (without Trigonometry) for business and social sciences. Some review of algebraic techniques. Major emphasis is on limits; continuity; derivatives with applications; and exponential and logarithmic functions, their derivatives and applications.

Prerequisite: MTH 111  completed with a grade of "C-" or better within the past two years or placement by the College's Math Placement Process.
Learning Outcomes
Upon successful completion of this course, the student should be able to:

  1. Find limits for various functions and solve continuity problems
  2. Solve rates of change applications
  3. Find derivatives of single variable functions by definition and by rules
  4. Differentiate logarithmic and exponential functions by rules
  5. Solve exponential growth and decay problems, as time permits
  6. Employ handwork and/or graphing calculators to graph, differentiate, find increasing and decreasing intervals, find maximums and minimums, concavity, points of inflection, and find intercepts
  7. Solve maxima and minima application problems using calculus
  8. Solve business problems using geometry and derivatives
  9. Solve business applications of elasticity
  10. Use implicit differentiation and related rates to solve graphing, geometry and business applications
  11. Use graphing calculators to graph functions to check their calculus hand-work

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