PASUM Mathematics, Physics & Chemistry
Pre-university lecture notes, tutorials, and concept explanations from Universiti Malaya PASUM (Matriculation Programme).
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Concepts
Core knowledge units organized by subject.
Mathematics (21)
- Integration Techniques — Substitution, parts, trig integrals, partial fractions
- Sequences — Limits, convergence, monotonic sequences
- Series — Convergence tests, power series, operations
- Improper Integrals — Type 1/2, p-test, comparison test
- Method of Differences — Telescoping sums
- Summation Formulas — Standard results, Σk, Σk², Σk³
- Binomial Expansion — Binomial theorem, validity conditions
- Power Series — Taylor & Maclaurin — Series expansions, radius of convergence
- Differential Equations — Separable, exact, Bernoulli, non-homogeneous
- Geometry - Circle — Equations, tangents, chords
- Geometry - Parabola — Standard forms, focus-directrix
- Geometry - Ellipse — Standard equations, foci, latus rectum
- Geometry - Hyperbola — Standard equations, asymptotes
- Matrices — Operations, inverses, Gaussian elimination
- Cramer's Rule — Determinant-based solution method
- Complex Numbers — Argand diagram, polar form, Euler's formula
- Argand Diagram — Geometric representation of complex numbers
- Hyperbolic Functions — Definitions, identities, derivatives, integrals
- Inverse Trigonometric Functions — Domains, ranges, derivatives, properties
- Counting & Probability — Permutations, combinations, Bayes' theorem, independence
- Probability Distributions — Binomial, Poisson, normal, sampling distributions
- Hypothesis Testing — Z-test, t-test, p-values, R implementation
Physics (15)
- Electrostatics — Coulomb's law, electric fields, Gauss's law
- Capacitors & Dielectrics — Capacitance, energy storage, dielectrics, RC circuits
- AC Circuits — Impedance, resonance, phasors, series/parallel
- Magnetism — Magnetic fields, Lorentz force, Ampere's law
- Inductance & Transformers — Self/mutual inductance, RL circuits, transformers
- Semiconductors & Diodes — Band theory, pn-junctions, diode circuits
- Operational Amplifiers — Ideal op-amp, inverting/non-inverting, applications
- Transistors & Biasing — BJT biasing, configurations, amplifiers
- Atomic Physics — Bohr model, spectra, quantum numbers
- Nuclear Physics — Radioactivity, decay, fission, fusion, carbon dating
- Photoelectric Effect — Photon energy, work function, stopping potential
- Photons — EM radiation quanta, photon momentum, Compton effect
- Quantum Mechanics — Wave functions, Schrödinger equation, particle in a box
- Modern Physics — Wave-Particle Duality — De Broglie waves, uncertainty principle
- Black Body Radiation — Planck's law, Wien's law, Stefan-Boltzmann
Chemistry (13)
- Electrochemistry — Galvanic cells, electrolysis, Nernst equation
- Chemical Equilibrium — Le Chatelier's principle, Kc, Kp, reaction quotient
- Ionic Equilibria — pH, buffers, titrations, indicators
- Solubility Product — Ksp, precipitation, common ion effect
- Phase Equilibria — Raoult's law, distillation, azeotropes, phase diagrams
- Thermochemistry — Enthalpy, Hess's law, calorimetry, hydration
- Kinetic Chemistry — Rate laws, Arrhenius equation, reaction mechanisms, enzymes
- Stereochemistry — R/S configuration, E/Z isomers, chirality, optical activity
- Alcohol & Phenol — Reactions, acidity, preparation, Lucas test, iodoform
- Carbonyl Compounds — Aldehydes, ketones, nucleophilic addition, carbohydrates
- Carboxylic Acids & Derivatives — Acyl derivatives, hydrolysis, esterification
- Amines & Amino Acids — Basicity, peptide bonds, 20 amino acids
- Polymer Chemistry — Addition/condensation polymerization, biopolymers
Sources
Lecture notes and course materials organized by course.
FAD1014 — Mathematics II
Integration:
- 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
Differential Equations:
- FAD1014 L15-L16 — Differential Equations (Separable)
- Application of DE - Mixing Problems
- Bernoulli Differential Equation
- Exact Differential Equation
- Non-Homogeneous DE (Linearly Dependent)
- Non-Homogeneous DE (Linearly Independent)
Series & Binomial:
- FAD1014 L21 — Introduction to Series
- FAD1014 L22 — Finite Series and Summation
- FAD1014 L23-L24 — Binomial Expansion
- FAD1014 L25-L26 — Power Series, Taylor & Maclaurin
Geometry:
- FAD1014 L27-L28 — Geometry I (Circle & Parabola)
- FAD1014 L29-L30 — Geometry (Ellipse)
- L31-L32 Hyperbola
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
- FAD1014 Tutorial 7 — Differential Equations
- FAD1014 Tutorial 10 — First-Order Linear DEs
- FAD1014 Tutorial 11 — Binomial Theorem
- FAD1014 Tutorial 12 — Taylor & Maclaurin Series
- FAD1014 Tutorial 13 - Circle, Parabola, Ellipse
FAD1015 — Mathematics III
Probability:
- FAD1015 Week 1 — Counting Rules & Permutation
- FAD1015 Week 2 — Mutually Exclusive & Conditional Probability
- FAD1015 Week 3 — Independent Events & Bayes' Theorem
Distributions:
- FAD1015 Week 4 — Discrete Random Variables (PDF & CDF)
- FAD1015 Week 5 — Mean & Variance (Discrete & Continuous)
- FAD1015 Week 6 — Continuous Random Variables
- FAD1015 L13 — Binomial Distribution
- FAD1015 L14 — Poisson Distribution
- FAD1015 L15-L16 — Normal Distribution & Approximation
- FAD1015 L17-L18 — Uniform & Exponential Distributions + R Intro
Inference:
- FAD1015 L19 — Input Data & Descriptive Statistics in R
- FAD1015 L20 — Sampling Distribution of the Mean
- FAD1015 L21-L22 — Estimation of Population Mean
- FAD1015 L23-L24 — Hypothesis Testing About the Mean
- FAD1015 L25-L26 — Hypothesis Testing in R
Matrices:
- FAD1015 L27-L28 — Matrices (Types & Operations)
- FAD1015 L29-L30 — Matrices (Inverse & Systems of Equations)
Past Year Finals:
Tutorials:
- FAD1015 Tutorial 1 — Counting and Permutation
- FAD1015 Tutorial 2 — Combination
- FAD1015 Tutorial 3 — Probability and Mutually Exclusive Events
- FAD1015 Tutorial 4 — Conditional Probability and Bayes Theorem
- FAD1015 Tutorial 5 — Discrete Random Variables
- FAD1015 Tutorial 6 — Expected Value, Variance, and Continuous Random Variables
- FAD1015 Tutorial 7 — Normal Distribution
- FAD1015 Tutorial 8 — Uniform & Exponential Distributions
- FAD1015 Tutorial 9 — Sampling and Sampling Distributions
- FAD1015 Tutorial 10 — Estimation of the Population Mean
- FAD1015 Tutorial 11 — Hypothesis Testing About the Mean
- FAD1015 Tutorial 12 — Hypothesis Testing in R
- FAD1015 Tutorial 13 — Matrices
- FAD1015 Tutorial 1-6 — Counting & Probability Fundamentals
FAD1018 — Basic Chemistry II
Physical Chemistry:
- FAD1018 W1 — Chemical Equilibrium
- FAD1018 W2-W3 — Ionic Equilibria
- FAD1018 W3 — Buffer Solutions
- FAD1018 W3 (3) — Ionic Equilibria Part 5-6 — Acid-Base Titrations
- FAD1018 W4 — Solubility Product
- FAD1018 W5-W6 — Phase Equilibria
- FAD1018 W15 — Thermochemistry
- FAD1018 W16 — Chemical Kinetics Part 2
- FAD1018 W16 — Kinetic Chemistry
Electrochemistry:
Organic Chemistry:
- FAD1018 W6 — Stereochemistry
- FAD1018 W7 — Alcohol and Phenol
- FAD1018 W8-W10 — Carbonyl Compounds
- FAD1018 W11 — Carboxylic Acids & Derivatives
- FAD1018 W12 — Amine & Amino Acids
- FAD1018 W14 — Polymer Chemistry
Past Year Finals:
- FAD1007 Final 2021-2022
- FAD1008 Final 2021-2022
- FAD1018 Final 2022-2023
- FAD1018 Final 2023-2024
- FAD1018 Final 2024-2025
Schedule:
Tutorials:
- FAD1018 Tutorial 1 — Chemical Kinetics
- FAD1018 Tutorial 2 — Chemical Kinetics II
- FAD1018 Tutorial 3 — Buffer Solutions
- FAD1018 Tutorial 4 — Electrochemistry
- FAD1018 Tutorial 5 — Solutions and Raoult's Law
- FAD1018 Tutorial 6 — Stereochemistry
- FAD1018 Tutorial 7 — Acidity of Phenols
- FAD1018 Tutorial 8 — Aldehydes and Ketones
- FAD1018 Tutorial 9 — Carboxylic Acids and Derivatives
- FAD1018 Tutorial 10 — Amines and Amino Acids
- FAD1018 Tutorial 12 — Carbohydrates
- FAD1018 Tutorial 13 — Lipids
- FAD1018 Tutorial 14 — Nucleic Acids
FAD1022 — Basic Physics II
Electromagnetism:
- FAD1022 L1-L3 — Electrostatics
- FAD1022 L7-L9 — Capacitors
- FAD1022 L14-L16 — AC Analysis
- FAD1022 L17-L21 — AC Series Circuits
- FAD1022 L22-L26 — Magnetism
- FAD1022 L31-L33 — Inductance & Transformers
- FAD1022 Quick Quiz 2026 — Inductance & Transformers
- Revision Faraday and Lenz Law
Electronics:
Modern Physics:
- FAD1022 L39-L42 — Atomic & Nuclear Physics
- FAD1022 L43 — Modern Physics
- FAD1022 L44 — Photons and Photoelectric Effect
- FAD1022 L45 — Introduction to Quantum Mechanics
Tutorials:
- FAD1022 Tutorial 1 — Electrostatics
- FAD1022 Tutorial 3 — Capacitors
- FAD1022 Tutorial 4 — DC Circuits
- FAD1022 Tutorial 5 — AC Basics
- FAD1022 Tutorial 6 — AC Circuit Analysis Part 1
- FAD1022 Tutorial 7 — AC Circuit Analysis Part 2
- FAD1022 Tutorial 8 — Magnetism Part 1
- FAD1022 Tutorial 9 — Magnetism and Electromagnetic Induction
- FAD1022 Tutorial 10 — Electromagnetism
- FAD1022 Tutorial 11 — Inductance
- FAD1022 Tutorial 12 — Semiconductors and Electronics
- FAD1022 Tutorial 13 — Electronics and Atomic Physics
- FAD1022 Tutorial 14 — Atomic Physics
- FAD1022 Tutorial 15 — Modern Physics
FAC1004 — Advanced Mathematics II (Computing)
Complex Numbers:
- FAC1004 L01 — Complex Numbers
- FAC1004 L02 — Euler's Formula
- FAC1004 L5-L6 — Functions of Complex Numbers (n-th Roots)
- FAC1004 L7-L8 — Complex Equations (Geometric Interpretation)
Inverse Trig & Hyperbolic:
- FAC1004 L13 — Inverse Trigonometric Functions
- FAC1004 L14 — Properties of Inverse Trig Functions
- FAC1004 L15-L16 — Derivatives of Inverse Trig Functions
- FAC1004 L17 — Hyperbolic Functions
- FAC1004 L18 — Hyperbolic Functions (Derivatives & Integrals)
- FAC1004 L19-L20 — Inverse Hyperbolic Functions
- FAC1004 L21-L22 — Integrals Involving Hyperbolic Functions
Tutorials:
- FAC1004 Tutorial 2 — Complex Numbers & De Moivre's Theorem
- FAC1004 Tutorial 3 — Complex Logarithms & Loci
- FAC1004 Tutorial 6 — Inverse Trigonometric Functions
- FAC1004 Tutorial 7 — Derivatives of Inverse Trig & Hyperbolic Functions
- FAC1004 Tutorial 8 — Hyperbolic Functions
- FAC1004 Tutorial 9 — Inverse Hyperbolic Functions
- FAC1004 Tutorial 10 — Integration of Hyperbolic Functions
Entities
People, courses, and institutions associated with this wiki.
Lecturers (16)
- Nik Nur Atiqah — Electrostatics (FAD1022)
- Dr Siti Nabila Aidit — Capacitors (FAD1022)
- Nurul Izzati (NIA) — AC Analysis, Modern Physics (FAD1022)
- Mohd Fahmi Azman (MFA) — AC Series Circuits (FAD1022)
- Aisyah Hartini Jahidin (AHJ) — Magnetism (FAD1022)
- Amirul Hakimi Bin Baderus (AHB) — Inductance & Transformers (FAD1022)
- Zainal Abidin (ZAA) — Semiconductors & Op-Amps (FAD1022)
- Hafizul Mat — Atomic & Nuclear Physics (FAD1022)
- En Jedzry Fadzlin B Jalaluddin — Integration (FAD1014)
- Dr Ahmad Syafadhli Bin Abu Bakar — Differential Equations (FAD1014)
- En Hisham Safuan Mohamad Sukri — Geometry, Series (FAD1014, FAC1004)
- Mahfuzah Binti Yusoff — Electrochemistry (FAD1018)
- Dr Fauzani Md Salleh — Ionic Equilibria, Buffer Solutions (FAD1018)
- Puan Zuraini Kadir — Phase Equilibria (FAD1018)
- Che Mohd Farhan Bin Che Mat Dusuki — PBL, Polymer Chemistry (FAD1018)
Courses (6)
- FAD1014 - Mathematics II — Integration, DEs, Series, Geometry
- FAD1015 - Mathematics III — Probability, Distributions, Inference, Matrices
- FAD1018 - Basic Chemistry II — Equilibrium, Kinetics, Electrochemistry, Organic
- FAD1022 - Basic Physics II — Electrostatics through Modern Physics
- FAC1004 - Advanced Mathematics II (Computing) — Complex Numbers, Hyperbolic
- Universiti Malaya — PASUM institution
Skills
This wiki packs 33 LLM skills inside skills/. The three most useful for PASUM study are recommended below — an AI assistant can load any of them on request.
- academic-wiki — Navigate the PASUM knowledge graph interactively
- problem-set-synthesis — Generate interleaved practice problems across subjects
- grill-me — Stress-test your understanding of any concept