FAC1004 Exam Leaks 2025-2026

Exam focus tips shared by students for the 2025-2026 academic year final examination.

Exam Information

  • Course: FAC1004 — Advanced Mathematics II (Computing)
  • Academic Year: 2025-2026
  • Lecturer: En Hisham Safuan Mohamad Sukri

Part A (Objective / Short Answer)

Structure

  • Mostly True/False (if exists, likely trigonometry)
  • Mix and match
  • Fill in blanks
  • State / Construct equation
  • Extract locus equation from 3 given items
  • No sketch/lukisan drawings
  • Possibly "correct the equation"

Potential Trigonometry Content

  • Tan trig
  • Pascal triangle

Part B (Structured Questions)

No Topic Marks
3 Complex number (full question) —
4 Complex number (half) + Trigonometry (half) —
5 Trigonometry (half) + Differential Equations (half) —
6 Differential Equations (full question) —

Complex Numbers

  • Locus — equation extraction
  • Cartesian ↔ Complex conversion
  • Application of complex numbers: Impedance
  • De Moivre's theorem
  • Functions of complex — Logarithmic & Exponential forms
  • Tutorial-style questions

Trigonometry

  • Hints will be provided in the question
  • Pattern is similar to tutorials
  • No sketch drawings

Differential Equations

  • Solve step by step — follow the procedure
  • Non-homogeneous DE — know why it's non-homogeneous and give example
  • Bernoulli DE — involves integration by parts ($\frac{x}{y}$); covered in lecture
  • Application of DE — Impedance
  • Application: rate is positive (+ve), find overflow
  • Write 2 ways to solve a given DE

Key Format Notes

  • No True/False in Part B (conflicting info — if any T/F appears, it's Part A trigonometry)
  • Similar to Tutorial 1 questions
  • Understand tutorials thoroughly

Topic Summary

Topic Type Notes
Complex Numbers (full) Part B Q3 Locus, conversion, De Moivre
Complex + Trigo Part B Q4 Half complex, half trig
Trigo + DE Part B Q5 Half trig, half diff eq
DE (full) Part B Q6 Bernoulli, non-homo, application
Locus equation Part A Extract from 3 items
Impedance Application Complex number application
Bernoulli DE DE Integration by parts
Non-homogeneous DE DE Why & example
Logarithmic & Exponential Complex Functions of complex

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