FAD1014 — Mathematics II
Foundation-level Mathematics II course at Universiti Malaya, Centre for Foundation Studies in Science.
Lecturers
- En Jedzry Fadzlin B Jalaluddin — Integration (L1-L2)
Topics Covered
Integration
- Integration Techniques — all methods
- FAD1014 L1-L2 — Integration (Anti-Derivative)
- FAD1014 L3-L4 — Integration by Substitution
- FAD1014 L5-L6 — Integration by Parts
- FAD1014 L7-L8 — Trigonometric Integrals
- FAD1014 L9-L10 — Trigonometric Substitution
- FAD1014 L11-L12 — Area Under Curves
- FAD1014 L13 — Volume of Solids of Revolution
- FAD1014 L14 — Volume (Area Between Curves)
- FAD1014 L20 — Improper Integrals
- Improper Integrals — concept page
Differential Equations
- Differential Equations — concept page
- FAD1014 L15-L16 — Differential Equations (Separable)
- Application of DE - Mixing Problems
- Bernoulli Differential Equation
- Exact Differential Equation
- Non-Homogeneous DE (Linearly Independent)
- Non-Homogeneous DE (Linearly Dependent)
Series Expansions
- Binomial Expansion — concept page
- Power Series — Taylor & Maclaurin — concept page
- Summation Formulas — finite series formulas
- Method of Differences — telescoping series
- FAD1014 L22 — Finite Series and Summation
- FAD1014 L23-L24 — Binomial Expansion
- FAD1014 L25-L26 — Power Series, Taylor & Maclaurin
Geometry
- Geometry - Circle
- Geometry - Parabola
- Geometry - Ellipse
- Geometry - Hyperbola
- FAD1014 L27-L28 — Geometry I (Circle & Parabola)
- FAD1014 L29-L30 — Geometry (Ellipse)
- FAD1014 Tutorial 13 - Circle, Parabola, Ellipse
- L31-L32 Hyperbola
Tutorial Sources
Integration Tutorials
- FAD1014 Tutorial 1 — Indefinite Integrals
- FAD1014 Tutorial 2 — Integration by Parts
- FAD1014 Tutorial 3 — Trigonometric Integrals
- FAD1014 Tutorial 4 — Trigonometric Substitution
- FAD1014 Tutorial 5 — Area Enclosed by Curves
- FAD1014 Tutorial 6 — Volume of Solids of Revolution