FAD1014 — Final Exam Scope 2025-2026

Exam Structure: 2 Hours

  • Part A: 24 marks (Q1, Q2) — Answer ALL
  • Part B: 56 marks (Q3, Q4, Q5, Q6) — Choose 4 of 6

[!info] Scope Confirmed Updated with lecturer slides (FAD1014 Exam Scope 2025-2026 — Lecturer Slides) showing complete Part A/Part B distribution.

Integration Topics

Topic Part A Part B Notes
Integration as antiderivative ✓ ✗ Basic concepts
Indefinite integral and standard integration ✓ ✓ Both parts
Integration by substitution method ✓ ✗ u-substitution
Integration by Parts ✗ ✓ Part B only
Integration of powers of trigonometric functions ✗ ✗ NOT TESTED
Integration by trigonometric substitution method ✗ ✓ Part B only
Integration by partial fraction ✗ ✗ NOT TESTED
Definite Integrals ✓ ✗ Part A only

Applications of Integration

Topic Part A Part B Notes
Area under the Curve ✓ ✗ Part A only
Area between the Curves ✗ ✗ NOT TESTED
Volume Revolved around x or y-axis ✗ ✗ NOT TESTED
Volume Revolved around any axis rotation ✗ ✗ NOT TESTED

[!warning] Applications Reduced Only Area under the Curve is tested. Volume of revolution completely excluded.

Differential Equations

Topic Part A Part B Notes
Introduction to first order differential equation ✓ ✗ Basic concepts
Differential Equation I: Separable ✓ ✓ Both parts
Differential Equation II: Homogeneous ✗ ✓ Part B only
Differential Equation III: Linear ✗ ✗ NOT TESTED

[!warning] Linear DEs Excluded Linear differential equations (integrating factor method) are not tested.

Sequence & Series

Topic Part A Part B Notes
Introduction to series: Diverge and converge ✓ ✓ Both parts
Summation of Finite Series: Method of Differences ✓ ✓ Both parts
Binomial expansion I: $(a+b)^n; n \in \mathbb{Z}^+$ ✓ ✗ Positive integer n
Binomial expansion II: $(1+x)^n; n$ non-positive integer ✗ ✗ NOT TESTED
Taylor series ✗ ✗ NOT TESTED
Maclaurin series ✗ ✓ Part B only

[!tip] Binomial & Series Focus Only Binomial I (positive powers) tested. Taylor series excluded; only Maclaurin in Part B.

Geometry: Conical Sections

Topic Part A Part B Notes
Geometry I: Circle ✗ ✗ NOT TESTED
Geometry II: Parabola ✓ ✓ Both parts
Geometry III: Ellipse ✓ ✓ Both parts
Geometry IV: Hyperbola ✓ ✓ Both parts

[!tip] Circle Excluded Circle geometry is not tested. Focus on Parabola, Ellipse, and Hyperbola.

Parametric Equations

Topic Part A Part B Notes
Parametric Equation ✗ ✓ Part B only

Part A Study Priority (Confirmed - 24 Marks)

Answer ALL questions in Part A. These topics are confirmed:

  1. Integration:

    • Integration as antiderivative
    • Indefinite integral and standard integration (also in Part B)
    • Integration by substitution method
    • Definite Integrals

  2. Applications:

    • Area under the Curve

  3. Differential Equations:

    • Introduction to first order DE
    • Separable DE (also in Part B)

  4. Sequence & Series:

    • Introduction to series (converge/diverge) — also in Part B
    • Summation of Finite Series (Method of Differences) — also in Part B
    • Binomial expansion I ($(a+b)^n$, positive integer $n$)

  5. Geometry:

    • Parabola (also in Part B)
    • Ellipse (also in Part B)
    • Hyperbola (also in Part B)

Part B Study Priority (Choose 4 of 6 — 56 Marks)

These topics are confirmed for Part B:

  1. Integration:

    • Indefinite integral and standard integration
    • Integration by Parts
    • Integration by trigonometric substitution

  2. Differential Equations:

    • Separable DE
    • Homogeneous DE

  3. Sequence & Series:

    • Introduction to series (converge/diverge)
    • Summation of Finite Series (Method of Differences)
    • Maclaurin series

  4. Geometry:

    • Parabola
    • Ellipse
    • Hyperbola
    • Parametric Equations

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