StudyPath

MTH 212 Calculus II

ND2 levelSciences13 topics

MTH 212 covers 13 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Summation of finite double series
  2. Finite double series
  3. Summation notation for double sums
  4. Properties of finite sums
  5. Convergence and divergence of infinite series
  6. Tests of convergence
  7. Alternating series
  8. Power series
  9. Taylor series
  10. Maclaurin series
  11. Applications of Taylor series to maxima and minima
  12. Indeterminate forms
  13. L'Hospital's rule

A sample from this course

One topic, as StudyPath teaches it.

Summation of finite double series

Summation of finite double series involves adding terms that depend on two indices, usually written ∫_{i=1}^{m}∫_{j=1}^{n} a_{ij}. Mastering the interchange of summation order, recognising telescoping patterns, and applying index‑shift techniques are essential, as these skills are frequently tested in NUC, CCMAS, NBTE, and NCCE exams.

What you get for MTH 212