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MTH 102 Elementary Mathematics II (Calculus)

100 levelSciences10 topics

MTH 102 covers 10 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. Functions of a real variable and graphs
  2. Limits and the idea of continuity
  3. The derivative as limit of rate of change
  4. Techniques of differentiation
  5. Maxima and minima
  6. Curve sketching
  7. Integration and definite integrals
  8. Reduction formulae
  9. Applications to areas and volumes
  10. Approximate integration (Trapezium and Simpson's rule)

A sample from this course

One topic, as StudyPath teaches it.

Functions of a real variable and graphs

This topic covers what a function of a real variable is, how to identify its domain and range, and how to represent it with graphs. For exams, you must be able to move confidently between algebraic rules and graphical meaning, since many questions test interpretation of curves, behaviour of standard functions, and restrictions on allowable x-values.

What you get for MTH 102

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