Certain publications are available by request (contact

`publications@jonathanlamao.com`

) for people with a legitimate purpose (students, teachers). Certain publications are not for public release as they are used for internal training programmes.As a general guide, the less likely something is in the syllabus, the more likely I am able to give this out.

JJWC Number | Name of publication | Description | Notes |
---|---|---|---|

J1 | Finding Patterns | (year 7 and above) A systematic way to finding patterns between two sequences | JL |

J2 | Extreme Value | (Distance Formula - year 8 and above) A class of questions involving insight on the distance formula (year 8) to solve seemingly hard questions | JL |

J3 | Areas of related figures | (year 7 and above) A class of questions involving areas of related figures | JL |

J4 | Dealing with Digits | (year 7 and above) Techniques on working with questions involving digits of a number | JL |

J5 | Factorials | (year 7 and above) Approaching questions involving factorials and their properties. | JL |

J6 | Simultaneous Equations | (year 9 and above) Various questions on simultaneous equations. These are often non-linear and in 3 variables. | JL |

J7 | Folding Paper | (year 7 and above) Geometrical questions involving a piece of paper being folded. Students should note properties such as reflection. | JL |

S1 | Integration Add 1 Subtract 1 | (4u) A class of questions on Reduction Formulae where this particular insight is required | JL |
---|---|---|---|

S2 | Integration - Sin/Cos swapping | (4u) A class of questions in integration where a transformuation swaps the sin and cos | JL |

S3 | Integration - Putnam Variation | (4u) Variations on a famous integral from the Putnam | JL |

S4 | Calculus FTC | (4u) A class of questions involving the Fundamental Theorem of Calculus that has been appearing in recent trial exams | JL |

S5 | Differential Equations | A formal introduction to differential equations, various approaches to solving them, and example questions from past HSC and Trials | JL |

S6 | Inequalities involving Definite Integrals | Proving inequalities involving integrals by considering areas. Also includes ideas like Stirling's formula and proofs for famous results | JL |

S11 | Triangle Centres | Introducing the 4 main triangle centres, and their properties | JL |
---|---|---|---|

S12 | Triangle Areas | Introducing new formulae for area of a triangle under different contexts, with questions demonstrating when certain formulae will be more beneficial | JL |

S13 | Other Triangle Theorems | Introducing other theorems and proofs relating to triangles (e.g. Simson's, 9 point circle, extended sine law, Ceva, Menalaus, Stewarts) | JL |

S14 | Lemmas in Geometry | Some common configurations in geometry. Not quite theorems, but "worth" knowing. | JL |

S15 | Configurations in Geometry | Some common configurations in geometry. Some are theorems; some don't have names. This is a more accessible version of S14. | JL |

S21 | Series and Sequences | (4u) Various techniques on evaluating series | JL |
---|---|---|---|

S22 | Factorisations | Various techniques on factorising seemingly difficult polynomials or expressions | JL |

S23 | Counting Roots using curve sketching | (4u) Applications of curve sketching to counting roots | JL |

S24 | Supersums of square weights | (4u+) Advanced Inequalities Techniques | JL |

S25 | Summations | Techniques on evaluating sums | JL |

S26 | Powers of Two | (4u) Various questions relating to a trick on the powers of two | JL |

S31 | Floor and Ceiling Functions | (4u) Various techniques and questions on dealing with the floor/ceiling function | JL |

S27 | Telescoping Sums | (4u) Various techniques on evaluating telescoping sums | JL |

S28 | Inequalities - Isolated Fudging | (4u) A technique to solve inequalities | JL |

S29 | Combinatorial Reciprocal Principle | A theorem in combinatorics and set theory that isn't really a theorem and is more like a cool trick | JL |

S30 | Locus with Rectangular Hyperbola - Strategies, Restrictions, Variations | Techniques on approaching locus questions in conics (and in general), strategies on finding restrictions in loci, as well as a theme and (10) variations on a class of one locus question | JL |

S32 | Definitions of e | The definitions of e, such as factorial and limit definitions. Questions from past HSC and trials involving these definitions and properties, with solutions. | JL |

S33 | Advanced Perms and Combs | Covering techniques such as stars and bars, path walking, Catalan numbers, derangements, etc | JL |

S34 | Fibonacci Numbers | Properties and Identities of Fibonacci numbers and various exercises | JL |

S35 | Resisted Motion - Strategies and Techniques | For rectilinear motion with resistance | JL |

S36 | Circular Motion - Strategies and Techniques | For circular motion, including banked track, trains and cars, conical pendulum | JL |

JJWC Number | Name of publication | Description | Notes |
---|---|---|---|

P1 | Vectors (standard) | Standard high school level vector questions | Various contributors |

P2 | Vectors (olympiad) | Vectors | JL |

P3 | Conics Variations | The same geometrical property can be seen across ellipses and hyperbolas, with slight variation | JL |

P4 | Troll Perms and Combs | Various troll questions on perms and combs, often requiring an absurd or unreasonable amount of cases | JL, VT |

P5 | Troll Inequalities | A troll question on inequalities where only really basic concepts are used (e.g. 2-variable AM-GM and perfect squares) but where the insight required is unreasonable. | JL |

P6 | Troll Collatz | A troll question where the student is to solve various properties on the Collatz conjecture (doable), culminating with a proof for the conjecture (unproven result) | JL, VT |

P7 | Troll Complex Numbers Geometry Bash | A troll question where the student is to solve a geometry question using complex numbers bashing | JL |

P8 | Troll Coordinate Geometry Bash | A troll question where the student is to solve a geometry question using coordinate geometry bashing | JL |

P9 | Troll Mango Question | A parody on the 2017 English HSC Paper 1 unseen text (poem) on mangoes. | JL |

P10 | Troll 4 unit trial | The questions are technically in the syllabus, but are too unreasonable to ask in an actual exam. Features parodies of actual questions. Solutions provided. | JL |

JJWC Number | Name of publication | Notes |
---|---|---|

H2 | HSC 2017 Extension 1 Mathematics Solutions | Various contributors |

H1 | HSC 2017 Extension 2 Mathematics Solutions | Various contributors |

JJWC Number | Name of publication | Description | Notes |
---|---|---|---|

U1 | MATH1151 Notes | Vectors, Matrices | JB |

U2 | MATH1251 Notes | Vector spaces | JB |

U3 | ACTL3141 Notes | Actuarial Models and Statistics | Various contributors |

U4 | ACTL3151 Notes | Life Contingencies | Various contributors |

U5 | MATH1251 Quiz Compilation | Various students memorised their exams to produce this compilation of quizzes (all original) | Various contributors |

U6 | BABS1201 Essay Journal Article (HD) | My assignment (task 1, tex and pdf) | JL |

U7 | BABS1201 Enzyme Lab Report (HD) | My assignment (task 2, tex and pdf format) | JL |

U8 | BIOS1101 Final Exam Question Bank | Questions that students have memorised to reproduce a question bank (original) | Various contributors |

U9 | MICR2011 Final Exam Bank | Questions that I have memorised to reproduce a question bank (original) | JL |

U10 | MGMT1001 Essays/Reports (HD) | My essay, as well as Everest report. Marker feedback and Tex source files provided. | JL |

U11 | MGMT1001 2017 Final Sample Extended Response | Questions from the final which I memorised | JL |

U12 | COMP1511 Challenge Question Explanations | Explanations (in tex and pdf format) for various COMP1511 Lab Challenge Exercises. I can also give you the full code if you're still stick/interested. | JL |

U13 | ACTL2102 Assignment (HD) | Assignment (in tex and pdf format) of assignment. It should also be available on Moodle, under Sample Reports. | JL and other group members |

Whilst this text is more comedic and less mathematical, a lot of the content makes reference to inside jokes.

Some mathematical knowledge (especially on olympiad mathematics) is required to understand some jokes.