- Levels Taught:
- Beginner, Intermediate, Advanced
My mathematical and computer skills include the following:
Algebra; Geometry; Trigonometry; Analysis (Calculus); Statistics; Permutations & Combinations; Theory of Probabilities; Numbers Theory (Natural, Real, Imaginary, Rational, Irrational, Special, Large, Whole, Fraction, Simple, Complex, One-Dimensional, Multi-Dimensional (Matrices & Determinates)); Modulus; Decimal/ Hexadecimal/ Binary/ Octal Systems; Modulus Functions; Equations; Sequences (Finite, Infinite, Fibonacci, Arithmetic, Geometric, Harmonic, Cauchy, Power, and Triangular); Algorithms; Plane Geometry; Solid Geometry; Analytical Geometry; Descriptive Geometry; Fractal Geometry, Differential Geometry; Projection; Differential Equations; Databased Unit Conversions; Discrete Mathematics including Computer Science; Algorithms including Comparison Sorts; Non-Comparison Sorts; Slow Sorts; Comparison Sorts (Quick Sort; Merge Sort; Heap Sort; Insertion Sort; Intro Sort; Selection Sort; Tim Sort; Cube Sort; Shell Sort; Bubble Sort; Binary Tree Sort; Cycle Sort; Library Sort; Patience Sort; Smooth Sort; Strand Sort; Tournament Sort; Cocktail Sort; Comb Sort; Gnome Sort; Block Sort; Odd-Even Sort); Non-Comparison Sorts (Pigeonhole Sort; Bucket Sort; Bucket Sort; Counting Sort; LSD Radix Sort; MSD Radix Sort; MSD Radix Sort (in-place); Spread Sort; Burst Sort; Flash Sort; Postman Sort; Slow Sorts (Bead Sort; Simple Pancake Sort; Spaghetti (Poll) Sort; Sorting Network; Bitonic Sort; Bogo Sort; Stooge Sort.
Software Programming in computer languages that span from earlier languages such as BASIC, FORTRAN PASCAL, DBASE, COBOL to languages that continued and expanded such as C. And relatively newer languages such as PYTHON with its extended libraries that managed to combine other tools and programming languages and became in its 3.x version an object-oriented language that runs linearly. Software design that combine code quality with efficient use of mathematics, logic, syntax, time, memory, and processing power. I have designed algorithms in various fields including Business; E-Commerce; Office Management; Real Estate; Demography; Technology; Architecture; Structural Engineering; Solid Mechanics; Analysis of Internal Forces (Normal; Shear; Bending Moment); Beams (Simple; Extended; Cantilevered); Frames; Trusses; Statically-Determinate & Statically- Indeterminate Structures; Virtual work; Deflection; Properties of Materials; Reinforced Concrete; Traffic & Transportation Engineering; Fluid Mechanics; Irrigation Engineering; Geotechnical Engineering; Computer-Aided Design & Manufacturing; Matrices & Determinants; Thermodynamics.
Operating Systems & Microsoft Applications & Corel Applications including: Android; Linux; Microsoft Disk Operating System; Microsoft Office Windows (MS Windows 10, MS Windows 8.1, MS Windows 8, MS Windows 7, MS Windows Vista, MS Windows ME, MS Windows XP, MS Windows Mobile); Bash Shell Command-Line Tools; DDL; CPU Testing; Maximizing CPU Performance; Files Integrity; Stochastic Optimization; Microsoft Office; Microsoft Works; Microsoft Utilities; Excel; Access; Word; Publisher; Powerpoint; OneNote; Outlook; Works Spreadsheets; Works Database; Works Word; Corel Office; Word Perfect; Corel Spreadsheets; Corel Presentation; Windows File Explorer; Disk Partition; Disk Formatting (NTFS, exFAT, FAT32); Disk Defragmenting; Digital Cleanup; System Restore; System Information; Registry; Macros; Merging Documents; Master Documents; Templates; VBA Programming; Pivot Tables; Error Trapping; Logical Functions; Financial Formulas; Mathematical Functions; Statistical Functions; Navigation Systems; Crosstab Queries; Advanced Reports; Smart Tables; Record Sheets; Web-Based Presentations; Web-Based Applications; Interactions Between Different Applications; Smart Art Diagrams; Virtual Memory; Data Macros in Web Applications; Python Tools For Visual Studio; Multi-Booting; Virtualization Software; Utilizing Python in MS Window Automation; Utilizing Python in Power Point Data Visualization; Python Scripting in Excel.
Graphic Design & Multimedia including: Layering; Projection (Isometric, Oblique, Prospective); In-Depth Framings; Analytical Databases that query some 16,777,216 colors that are defined by Hex Triplet, RGB, Hue, Saturation, Tint, Shade, Depth; Color Calibration; Patterns; Sizing; Cropping; Utilizing Permutations & Combinations in Colors Integrations; Typography Effects (Shadow, Reflection, Glow, Bevel, 3-D Rotation); Design & Layout; Print and Digital Publishing; Illustration; Digital Processing & Editing; BMP; BNG; FPX; GIF; JPEG; PCX; RGB; TIFF; Compressed TIFF; File TIFF; EPS; Pixel-Based Imaging; Vector-Based Imaging; Integrating Graphics with Trigonometry and Geometry (Plane, Solid, Analytical, Descriptive, Fractal, Differential); Applications of Chaos Theory to Graphics; Incorporating Graphics with Computer-Aided Design (AutoCad, ViaCad, Turbo Cad); Graphic Calibration; Soft Proofing; Enhancing Pixel Quality; Motion Graphics & Animations; Virtual Reality; Augmented Reality; Polygon Graphics (Simple, Complex, Concave, Convex, Regular, Irregular, N-Gon); Polyhedra & Non-Polyhedra Graphics; Applications of the Theory of Numbers to Graphic Design; Clip Art; Smart Art; Image Compressing; Resolution Reduction; Hierarchy Graphic Structure; Raster Graphics; Graphic Representations of Irrational Numbers; Edge Detection; Audio and Video Software; Window Media Player; Real Player; UM Player; VLC Media Player; QuickTime; Roxio; Nero; Corel; Paint; Panorama Maker; Wavepad; Mort Player; Mix Player; EXPStudio; Dragon; MP3; WAV; GSM; 3GP; M4A; WMV; AVI; FLV; MPEG-1; MPEG-2; MIDI; MOV; WEBM; MKV; Audio Fading; Audio Delaying.
PDF software and Adobe Applications: PDFILL; PDFREDIRECT; Adobe; Turbo PDF; Power PDF; Handling PDF files (Merging, Splitting, Reordering, Rotating, Reformatting, Text Watermarks, Picture Watermarks, Converting PDF to Images, Converting Images to PDF, Bookmarks, Hypertexts); InDesign; Illustrator; Adobe Acrobat DC; Premiere Elements; Premiere Pro; Acrobat; Stock; Lightroom; Muse; Acrobat Pro; After Effects; Project Felix; Dreamweaver; Animate; Audition; Bridge; Media Encoder; Flash Builder; InCopy; Prelude; Spark; Scout; StoryPlus; PhoneGap Build; Creative Cloud; Gaming SDK; Extension Manager; ExtendScript Toolkit; Photoshop; Creative Suite; Digital Editions.
Mapping & Navigation & GPS software including: Programming Longitudes & Latitudes; Spherical Trigonometry; Topography; Delmorme; Navaman; Pharos; Google Earth; Street & Trips; Google-Based Navigation; Map Matching; Green Wave Algorithms.
File Compressing & Backup & Digital security including: Winzip; Cloud Backup; Cloud Architecture Patterns; Carbonite; Google Drive; Drop Box; Firewalls; Anti malicious software (Viruses, Warms, Trojans, Rootkits, Spyware); Digital Security Against Phishing & Spamming & Hacking; Mcfee; Norton; ZoneAlarm; AVG; MS Defender; Kasparsky; VPN; SSL; SSH; Port Forwarding; Dynamic Port Forwarding.
Solid knowledge of computer hardware and IT including: Computers; Monitors; Microprocessors; Motherboards; Wifi Cards; RAM; SDRAM; DDR SDRAM; ROM; CD/DVD/Disk Drives; Hard Drives; Flash Drives; Memory Cards (Secure Digital, Micro Secure Digital, Compact Flash, SmartMedia); Scanners; Faxes; Copiers; Printers (Inkjet; Laser, Multi-Purpose, Cloud-Based; 3-D); Printer’s Cartridges & Toners; Printing Media; Keyboard (Wired & Wireless); Mice (Wired & Wireless) & Touchpads; Projectors; Wired and Bluetooth Head Phones & Headsets; Digital Cameras; PC Cameras; Smart Phones; Modems; Routers; Lightscribe; Specifications Comparison; BIOS; Wireless LAN; IEEE 1394 Devices; Graphics Cards; TCP, HTM; ASCI; Power Shell; Binary Language; Assembly Language; Hexadecimal Language.
Business Planning; Business Venturing; Business Modeling; Market Research; Worldwide Market Analysis; U.S. Market Analysis; Variance Analysis; B2B; SIC-Based Databases.
Very strong communication skills including solid oral and written communications and technical writings.
- Teaches students:
- Ages 5+
- Teaching since:
I do not see teaching as simply repeating what has been already detailed in text books and lectures. Everyone’s mind is different and thus everyone has a unique perception to understanding one issue or another. Things are better illustrated with an example.
A while back, there was a television show hosted by a T.V. personality named Monty Hall. In the show, Monty presented a contestant with 3 closed doors. Behind one door was a new car. And behind each of the other two doors was a goat. The contestant had the option to choose one door so as to win the new car.
The probability that a car was behind door 1 or door 2 or door 3 was the same, about 33.33%. Let us say that the contestant picked door 1. Monty would then open one of the other two doors that were not chosen by the contestant. There were 3 terms in the game: 1) Monty knew what was behind each door; 2) Monty cannot open the door that was already chosen by the contestant; 3) Monty would only open a door that hides a goat.
Let us say Monty opened door 3 revealing a goat. Monty then asked the contestant if the contestant would like to switch to door 2 or keep his original choice of door 1. Contestants would be bewildered not knowing really what to do. Was it better to keep the originally choice or was it better to switch or it would make no difference whether to keep the original choice or switch?
Meet Marilyn vos Savant. Marilyn wrote a column called “Ask Marilyn” in a newspaper called Parade. Marilyn was known for having one of the highest recorded IQ. A reader sent Marilyn a letter asking her if it was better to switch or not to switch. Marilyn stated in her column that a contestant should switch since switching doubled the contestant’s chances of winning. Many of Marilyn’s readers erupted in protest including readers with Ph.D., mathematicians, and academicians. Most people believed that the probability that a car was behind door 1 or door 2 was the same of 50%.
This became known as The Monty Hall Problem or The Monty Hall Paradox. Articles and books were written over this problem. Actually Marilyn was right and this was proven using computer simulation. Yet until today many people cannot understand that switching doubles the chances of winning.
At first glance this paradox might seem irrelevant to teaching. But I think it does. This paradox tutor the mind in the subject of structured thinking which is very important in learning.
I am a programmer analyst. I have an IT sole proprietary home office business called Link. Link deals with the design of computer software including programming analysis, databases, and data analysis. Link applies mathematical modeling that relates to computer software. This includes One-Dimensional Databases; Multi-Dimensional Databases; MS Works; MS Access, DataStage; Data Science; Data Structuring; Data Management; Data Compression; Data Arranging; Data Search; Extracting Data; Big Data; Spatial Data, Data Integrity; Data Anomaly; Utilizing SQL in Data Science; Data Correction; Applications of the Theory of Probability to Data; Bayesian Data Analysis; Application of Monty Hall Paradox to Raw Data; Data Storage; Data Control; Blocking Bad Data; Importing & Exporting Data; Creating Live Data; Complex Data Problems; Mutually Inclusive & Mutually Exclusive Data; Data Wrangling; Data Pattern Identification; Descriptive & Predictive Data; Data Security; Data Visualization; Structured & Unstructured & Semi-Structured Data; Data-Driven Products & Services; Data Theory & Application; Machine Learning in Data.+ Read More