MATH 151: Calculus II


Test #3 Review Topics


April 25, 2026


  2. The ratio test

  3. Power series: definition, determining convergence, radius of convergence

  4. Differentiation and integration of power series, preservation of radius of convergence

  5. Using power series to integrate functions

  6. Taylor and Maclaurin series; derivation of Taylor series coefficients

  7. Obtaining Taylor/Maclaurin series; finding their radii/intervals of convergence

  8. Important Maclaurin series1

  9. Approximating functions with Taylor polynomials; Taylor's inequality

  10. Introduction to differential equations; initial value problems

  11. Verifying solutions of differential equations

  12. Directly integrable differential equations

  13. Euler's method of numerically solving differential equations

  14. Separable differential equations

  15. Exponential growth and decay; applications: population growth, continuously compounded interest, radioactive decay, law of cooling


1 Table 8.6 will be provided, if needed.