MTH 1212 units100 LevelSecond Semester

General Mathematics II (Calculus)

B.Sc. Cybersecurity, University of Uyo

Single-variable calculus: limits, continuity, differentiation, integration, and their applications. Builds the analytical foundation for probability, statistics, and the signal theory used across science and engineering.

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  • 6 lecture-note topics
  • 2 recommended textbooks
  • an AI tutor that has read this course’s outline and notes
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Course outline

  1. 01Functions of a real variable: domain, range, composition
  2. 02Limits, continuity, and the derivative
  3. 03Rules of differentiation: product, quotient, chain
  4. 04Implicit, parametric, exponential and logarithmic differentiation
  5. 05Applications of derivatives: tangents, rates, max/min
  6. 06Definite and indefinite integrals
  7. 07Techniques of integration: substitution, by parts, partial fractions
  8. 08Applications of integration: area, volume

Recommended textbooks

  • Engineering Mathematics — K.A. Stroud

    8th ed. — the most student-friendly maths text for engineers

  • Calculus: Early Transcendentals — James Stewart

    9th ed. — comprehensive; the global standard

How to pass MTH 121

  • 3Blue1Brown "Essence of Calculus" on YouTube builds genuine geometric intuition — watch it
  • Calculus rewards consistent daily practice more than any last-minute cramming
  • Understand the concept of a derivative as 'rate of change' before memorising rules
  • Khan Academy calculus is free, self-paced, and covers this entire course

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