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I only had a modest degree in Physics & Maths, NOT in Electronic Engineering. But in 1947 Junior school I was making kid’s crystal sets for 2 shillings, & no tuning needed because the radio station could be seen up the road & iron beds made a great antenna! I was bugging radio amateurs for data on their huge glowing tubes & seeking formulas. On entering senior school, I was reading every electronic mag possible like Radio & Hobbies, Hobbies Illustrated etc + a huge book on electronics containing masses of networks to calculate. I did every problem. Mum got me an American ARRL Manual that I completely devoured. Then in high school I built big family radios published in those early Radio & Electronics mags + read every electronics mag I could lay my hands on. ``In fact long before that I was collecting ingenious circuit pages in these mags until I had folders on: Oscillators, Crystal Oscillators, Amplifiers, Filters, Power supplies, Microwave, Transmitters etc eventually for a vast paper database topped up with my own circuits patents etc & expanded over decades into the huge files I still have, whilst seeking a keen UNI to gift them to. Now I simply called myself an Electronic Engineer after graduation - much better salary than Physicist - & was put in charge of Australia’s CSIRO 1955 Electronic Division of Solar Physics (not solar Energy). I soon learnt that every Electronic Engineer MUST weekly consume a stack 3 inch high of Electronic Mags etc - filing good ingenious economical circuits. The massive advantage of such circuit non-computer database files is say a special crystal oscillator was needed, I’d simply look up that file for the most similar circuit needed, breadboard it, test it, environmentally test it (temp, shake etc) & deliver in about 2–3 weeks; not the usual months later. In USA after arrival there in 1958, my salary - as an Electronic Engineer able to solve many more problems with the Physics background, including conceive a hand-size satellite mass spectrometer at the colossal salary over $14,000 that could pay the rent of Malibu beach @ $250 monthly; & I could have bought a brand NEW big fin auto every month; instead I got a 1927 mint condition Rolls Royce for $1,500 (sold to Lake Tahoe Auto Museum for $1,000). That was 1964. I was right in the middle of AeroSpace, NASA Moon shots, Satellite instrumentation etc. Eventually after returning home by 1965 schooner via Hawaii for 5.5 months, I wound up in 1970 UK at a Robotic machine tool computer Corp Molins as Chief Electronic Engineer producing rows of these World-best huge machines accurate to 1/10,000 inch. !972 We DID Europe in an old Kombi before finally working at Norway’s Government R&D Labs for a few months complete with a free room + researching renewable energy, pure water & medical instruments. That was my last ever paid job & I was only 37 - not rich, simply frugaluxury. Now on this island near Brisbane we have a reputation for having about the most self-sufficient home in Australia & thriving on 5% pension at age 85 with a phenomenal inventive Filipino wife of 70. BEST OF LUCK! I have a PhD + DSc in Applied Tech + Maths.

i am a self-taught Electronic Engineer + Programmer once working with NASA If one wished to know how to handle School or Uni Maths or any subject etc teaching, I soon figured it out myself or learnt from our teacher or professor & guessed the remainder to: Learn the lesson 2 to 3 weeks ahead of time. Don’t simply do book problems assigned, but do every problem in the books, & problems U didn’t have to do often proved to be exam questions! Work hard till 1 or 2am each morning; study weekends + on all holidays + Sundays; forget about socialising until graduated. Homework or practical work like in Physics, we would do with a group of smarter students after school or a lunch BEFORE Physics Experiments afternoon. I was so dumb that high school told me I was so low IQ that never go to Uni (but I desperately wanted to get into AeroSpace work, Robots & Electronics - which I did for years). School twice told me join the army, be a cop or train driver, or be a powder monkey miner. Only recently have I found that all their suggestions were guesses not based on fact!!! A good book re Trigonometry is needed + wonderful book for differentiating & integration like R.S.Burington’s “Handbook ov Mathematical Tables and Formulas” (1947 or something more modern of course). Plus my favorite: “The Cambridge Handbook of Physics Formulas” by Graham Woan. Yet now here are a few of my letters of an Independent self-subsidised well-published peer-reviewed Researcher: Also when you 1-word Google DRPATSAWESOMELIBRARY, the 2nd page shows to access & download what ever, in particular my Free MATHS APP LIBRARY MAL for solving nasty equations & algebra. 86yo Born World Environment Day! DSc & PhD American, BSc in Math & Physics 1955 Sydney Uni, Fellow-British Interplanetary Soc, Hon Fellows-Inventors Assoc of Australia, Member-IEEE, M-MSSANZ, M-ANZSES, Ecologist, Medical Researcher, Scientist, self-educated Electro-Mech-Engineer & Programmer. Certified Value Engineer, Mathematician, Physicist... I Invented & Discovered 5,470 registered items (1/3rd most prolific in the world) + over 750 publications, books etc. Thomas Edison had 6,000 inventions (but only on a few subjects + he heavily cheated & stole many, & I’m not dead yet).Here is the part introduction to my FREE Maths App Library MAL. Maths a drag? Everyone has needless math-difficulty. Yet little can be researched, invented, improved, optimised, designed or decided without some or all 70 Apps. Likewise the means to make the item. So here's compact, anglicised, wide-range MAL for every too-busy professional + expert in most careers, especially those seldom using maths, who simply MUST solve problems routinely & rapidly, but don't have time, inclination or know-how for manual solving. Secondary + Tertiary students now effortlessly & enjoyably solve visualised-problems that still baffle experts. Even Primary students will find lots to enjoy in MAL. I have Invented & Discovered 5,470 items - evidently the world’s 3rd most - yet most all required maths; some very simple, others real awful but exciting when the Maths comes out OK - like my big 12-volt fridge that uses 60 times less energy than any other fridge we know...MATH SOLVER: For variety, examples with suggested solutions, a fascinating detailed manual on same screen as the maths or separate, for solving some problems few if any can solve, low cost = FREE so far if only few needed, easiest to use, needs little memory, good on all Windows, easy to change apps in .txt file, is also a Scientific Calculator, some for all ages, + easy to generate your own apps, then I would highly recommend my own Maths App Library MAL that was started in 1950s! That’s if that’s what you're looking for.These 3 of my FREE Maths Algorithm Library’s Apps solve Groups of Mixed (simultaneous) arbitrary Systems of non/linear, implicit algebraic & ordinary differential equations. ALL 8 equation example sets were multi-solution solved concurrently over long capture range with appropriate starting conditions. Discontinuous Ordinary Differential Equations ODE driving functions are quite acceptable, as are unlimited ORD orders. Mathematica couldn’t seem to match such numerical capability. Big deal! Except that our DIFFSIMP uses only 2.9k memory! The little POCket comp? It takes somewhat longer. No point DIFFSIMP if much faster easier DIANALOG (decades old Digital version of an Analog Computer) + its plotting are OK. Most ODE solvers appear 1 per century; my 3 arrived in 5 years - whilst squatting at 4 Unis to borrow computers + library + ask questions etc. ``GWBASIC - my favourite language - has a simple random number generator including a seed so you can repeat the random number generated for certain experiments; & which increases further still the randomness of such.Trying to remain modest I would say my own Inverse Sinh method for solving algebraic equations that took me months of effort on a simple Sinclair primitive calculator, & then on a single line 11k pocket computer SHARP PC 1500, which also helped solve plenty of tricky ODEs (differential equations). Later inventing an algebraic digital analogy - DIANALOG - of old analogy computers that enabled me to solve vastly more complex groups of differential equations. These are now part of an entire FREE compact Maths App Library MAL that earned me an American Doctorate of Science in early 1980s. Queensland’s Uni’s Uniquest must have sold 1,000s of MAL years ago - now FREE.

No Chemistry. I only had a modest degree in Physics & Maths, NOT in Electronic Engineering. ``I was Maths & Physics-MAD from about 5 years old with Meccano, carpentry, chemistry & electronic kitsets + mum bought me many wonder books on how things work & how they are done + full of projects like toy jet boats etc + stacks of regular electronic mags. Some eventual subjects like Einstein equations or chemical valency proved so hard that giving up could have been real easy. But I’m not a quitter & kept looking for many books on same subject, just 1 of which - by famous Physicist Arthur Eddington - in each case proved REAL REAL EASY. BINGO!!! At 86 I am now a self-taught Professional Electro-Mech Engineer, a Scientist, Physicist, Ecologist, Medical Researcher, Certified Value Engineer & Mathematician with a relevant PhD + Doctorate of Science having Invented or Discovered 5,470 items that I give away for FREE - else lose my pension - plus developed a real good free Maths Algorithm Library MAL with many patents in exotic circuits + researched in 84 countries. In 1947 junior school I was making crystal sets for kids cheap. An Electronic Engineer then always earned far more than PhD in Physics.But in 1947 Junior school I was making kid’s crystal sets for 2 shillings, & no tuning needed because the radio station could be seen up the road & iron beds made a great antenna! I was bugging radio amateurs for data on their huge glowing transmitter tubes & seeking formulas. On entering senior school, I was reading every electronic mag possible like Radio & Hobbies, Hobbies Illustrated etc + a huge book on electronics containing masses of networks to calculate. I did every problem. Mum got me an American ARRL Manual that I completely devoured. Then in high school I built big family radios published in those early Radio & Electronics mags + read every electronics mag I could lay my hands on. ``In fact long before that I was collecting ingenious circuit pages in these mags until I had folders on: Oscillators, Crystal Oscillators, Amplifiers, Filters, Power supplies, Microwave, Transmitters etc eventually for a vast paper database topped up with my own circuits patents etc & expanded over decades into the huge files I still have, whilst seeking a keen UNI to gift them to. Now I simply called myself a self-taught Electronic Engineer after graduation - much better salary than Physicist - & was put in charge of Australia’s CSIRO 1955 Electronic Division of Solar Physics (not solar Energy). I soon learnt that every Electronic Engineer MUST weekly consume a stack 3 inch high of Electronic Mags etc - filing good ingenious economical circuits. The massive advantage of such circuit non-computer database files is say a special crystal oscillator was needed, I’d simply look up that file for the most similar circuit needed, breadboard it, test it, environmentally test it (temp, shake etc) & deliver in about 2–3 weeks; not the usual months later. In USA after arrival in USA in 1958, my salary - as an Electronic Engineer able to solve many more problems with the Physics background, including conceive a hand-size satellite mass spectrometer at the colossal salary over $14,000 that could pay the rent of Malibu beach @ $250 monthly; & I could have bought a brand NEW big fin auto every month; instead I got a 1927 mint condition Rolls Royce for $1,500 (sold to Lake Tahoe Auto Museum for $1,000). That was 1964. I was right in the middle of AeroSpace, NASA Moon shots, Satellite instrumentation etc. Eventually after returning home by 1965 schooner via Hawaii for 5.5 months, I wound up in 1970 UK at a Robotic machine tool computer Corp Molins as Chief Electronic Engineer producing rows of these World-best huge machines accurate to 1/10,000 inch. 1972 We DID Europe in an old Kombi before finally working at Norway’s Government R&D Labs for a few months complete with a free room + researching renewable energy, pure water & medical instruments. Many problems - even electronic problems - can best be solved optically, chemically, magnetically, mechanically etc, easily tackled by a Physicist & not by Electronic Engineer! That was my last ever paid job & I was only 37 - not rich, simply frugaluxury. Now on this island near Brisbane we have a reputation for having about the most self-sufficient home in Australia & thriving on 5% pension at age 86 with a phenomenal inventive Filipino wife of 70. BEST OF LUCK! Dr.Pat. E: [email protected] one wished to know how to handle School or Uni Maths or any subject etc teaching, I soon figured it out myself or learnt from our teacher or professor & guessed the remainder to: Learn the lesson 2 to 3 weeks ahead of time. Don’t simply do book problems assigned, but do every problem in the books, & problems U didn’t have to do often became questions! Work hard till 1 or 2am each morning; study weekends + on all holidays+ Sundays; forget about socialising until graduated. Homework or practical work like in Physics, we would do with a group of smarter students after school or a lunch BEFORE Physics Experiments afternoon. I was so dumb that high school told me I was so low IQ that never go to Uni (but I desperately wanted to get into AeroSpace work, Robots & Electronics - which I did for years). School twice told me join the army, be a cop or train driver, or be a powder monkey miner. Only recently have I found that all their suggestions were guesses not based on fact!!! A good book re Trigonometry is needed + wonderful book for differentiating & integration like R.S.Burington’s “Handbook ov Mathematical Tables and Formulas” (1947 or something more modern of course). Yet now here are a few of my letters of an Independent self-subsidised well-published peer-reviewed Researcher: Also when you 1-word Google DRPATSAWESOMELIBRARY, the 2nd page shows to access & download what ever, in particular my Free MATHS ALGORITHM LIBRARY MAL for solving nasty equations & algebra. 86yo Born World Environment Day! DSc & PhD American, BSc in Math & Physics 1955 Sydney Uni, Fellow-British Interplanetary Soc, Hon Fellows-Inventors Assoc of Australia, Member-IEEE, M-MSSANZ, M-ANZSES, Ecologist, Medical Researcher, Scientist, self-educated Electro-Mech Engineer, Certified Value Engineer, Mathematician, Physicist... I Invented & Discovered 5,470 registered items (1/3rd most prolific in the world) + over 750 publications, books etc. Thomas Edison had 6,000 inventions (but only on a few subjects & I’m not dead yet).