StudyPath

MTH 121 Calculus I

ND1 levelSciences15 topics

MTH 121 covers 15 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. Limits of functions
  2. Evaluation and non-existence of limits
  3. Continuity of functions
  4. Discontinuity and removable discontinuity
  5. Theorems of continuity
  6. Differentiation from first principles
  7. Basic rules of differentiation
  8. Chain rule and composite functions
  9. Logarithmic, exponential and trigonometric differentiation
  10. Successive, implicit and partial differentiation
  11. Applications of derivatives
  12. Integration as inverse of differentiation
  13. Indefinite integration
  14. Integration by substitution
  15. Integration by parts and partial fractions

A sample from this course

One topic, as StudyPath teaches it.

Limits of functions

Limits of functions are the foundational concept for all of calculus, telling us the behaviour of a function as its argument approaches a particular value. Mastering limits is essential for the NUC CCMAS, NBTE, and NCCE exams because they underpin continuity, derivatives, and integrals, and many exam questions test limit evaluation, one‑sided limits, and the use of limit laws.

What you get for MTH 121