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College of Science, Engineering and Technology


NSU - Norfolk State University
 
MTH 184 : Objectives
   
 

At the completion of this course, each student should be able to:

  1. Construct functions and analyze them for continuity;
  2. Find the limits of certain functions, as the independent variable approaches some fixed numbers
  3. Understand the definition of the derivative, and master the techniques of differentiation, explicit and implicit;
  4. Use the chain rule to find derivatives of composite functions;
  5. Understand the connection between the sign of the first derivative of a function and whether that function is increasing or decreasing;
  6. Determine the concavity of the graph of a function, depending on the sign of the second derivative;
  7. Set up, and solve, problems involving related rates; (maximum or minimum);
  8. Find critical points for a function, and use them to find extreme values
  9. Understand the Mean Value Theorem, analytically and geometrically;
  10. Find anti-derivatives (indefinite integrals) by inspection, or by substitution;
  11. Evaluate definite integrals by using the Fundamental Theorem of Integral Calculus;
  12. Find the areas between curves by integration;
  13. Use integration to solve problems of accumulation, via Riemann sums.

 

 
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