Calculus 2 (Math 121) -After Midterm To Quiz 3

Course Learning Outcomes :

1. Apply Numerical Methods for Integration
   • Use techniques such as the Trapezoidal Rule and Simpson’s Rule to approximate definite integrals.
2. Evaluate Improper Integrals
   • Identify and compute improper integrals, including those with infinite limits or discontinuous integrands.
3. Calculate Arc Lengths
   • Determine the length of curves defined by functions using appropriate integral formulas.
4. Find Surface Areas of Revolution
   • Compute the surface area generated by revolving a curve about an axis.
5. Analyze Sequences
   • Understand the definition of sequences, determine their limits, and analyze their convergence or divergence.
6. Examine Infinite Series
   • Test series for convergence or divergence using various methods (e.g., comparison test, ratio test, root test).
   • Find sums of convergent series where possible.