Advanced STEM Library

A growing library of formula sheets, study guides, and reference materials.

The Advanced STEM Library is Mr. Sharma's expanding collection of study resources — formula sheets, structured study guides, topic reviews, STEM encyclopedia articles, practice plans, and reference materials — built to help students develop lasting understanding, not memorize answers.

Six Resource Categories

Everything a serious STEM student needs, in one library.

New resources are added continuously. Each item below is either already available or will be published shortly as part of the Advanced STEM Library.

Coming Soon

Formula Sheets

Comprehensive, printable formula sheets for every academic subject and standardized test — organized by topic and covering every relationship a student needs.

  • SAT Mathematics — Complete Formula Sheet
  • ACT Mathematics — Complete Formula Sheet
  • AP Calculus AB & BC — Formula & Theorem Sheet
  • AP Physics 1, 2, C — Equation Sheets
  • AP Chemistry — Equations & Constants
  • NY Regents Algebra 1, Geometry, Algebra 2
  • MCAT — Physics, Chemistry, Biochemistry Formulas
  • Precalculus & Trigonometry Reference
Coming Soon

Study Guides

Structured written companions covering the core content of each subject and exam — the guide Mr. Sharma would hand a student on day one.

  • SAT Math Complete Study Guide
  • ACT Science & Math Study Guides
  • SSAT & ISEE Quantitative Guides
  • TEAS & HESI A2 Science & Math Guides
  • AP Biology, Chemistry, Physics Study Guides
  • Pre-Med Science Foundations
Coming Soon

Topic Reviews

Concise topic-by-topic review notes with worked examples — designed to be re-read the week before an exam without wading through a textbook.

  • Linear & Quadratic Functions Review
  • Triangles, Circles & Coordinate Geometry
  • Exponents, Logarithms & Sequences
  • Trigonometric Identities & Equations
  • Limits, Derivatives & Integrals
  • Probability & Statistical Inference
Coming Soon

STEM Encyclopedia

Short, precise articles explaining foundational STEM concepts — searchable reference material students can trust more than a generic web result.

  • What is a Function?
  • Understanding the Unit Circle
  • The Pythagorean Theorem
  • The Fundamental Theorem of Calculus
  • Newton's Laws in Plain English
  • The Central Dogma of Molecular Biology
Coming Soon

Practice Plans

Four-, eight-, twelve-, and sixteen-week practice calendars per exam and subject — the same structures Mr. Sharma builds for his 1-on-1 students.

  • 4-Week Intensive SAT Math Plan
  • 8-Week Standard SAT Math Plan
  • 12-Week Comprehensive AP Calculus Plan
  • 16-Week Mastery MCAT Sciences Plan
  • 8-Week TEAS Nursing Plan
  • 6-Week SSAT / ISEE Middle & Upper Plan
Coming Soon

Reference Materials

Reference cards, cheat sheets, common-mistakes lists, and the small tools students reach for again and again while studying.

  • Desmos Graphing Calculator Reference
  • Common Mistakes: SAT / ACT Math
  • Chemistry Constants & Conversions
  • Physics Units, Prefixes & Constants
  • Statistical Symbols & Notation
  • Recommended Textbooks & Further Reading

Subjects

6 libraries across STEM

24 topics

Mathematics

From foundational arithmetic through advanced problem solving.

Master mathematics from foundational concepts through advanced problem solving. Whether you're preparing for school exams, AP exams, the SAT, ACT, NY Regents, college mathematics, engineering prerequisites, or competitive exams, this library provides a structured roadmap for success.

Explore Mathematics
18 topics

Biology

From the molecular to the ecological.

A structured library covering the major branches of biology — from cellular and molecular foundations to physiology, ecology, and biotechnology.

Explore Biology
18 topics

Chemistry

From atoms to organic systems.

A structured library spanning general, physical, organic, and biological chemistry — built around understanding rather than rote memorization.

Explore Chemistry
19 topics

Physics

Mechanics, fields, waves, and modern physics.

A structured library covering classical mechanics, thermodynamics, electromagnetism, waves, optics, and modern physics — taught from first principles.

Explore Physics
27 topics

Pre-Med Sciences

Advanced life sciences for the health professions.

A dedicated library of advanced life-science topics for students preparing for medicine, pharmacy, nursing, physician assistant programs, dentistry, biomedical sciences, and related health professions.

Explore Pre-Med Sciences
20 topics

Research & Scientific Skills

How real scientists think, write, and reason.

A library devoted to the methods, habits, and skills that underpin serious scientific work — from experimental design and data analysis to scientific writing, ethics, and college preparation.

Explore Research & Scientific Skills

Explore STEM Career Pathways

Learn by where you're going, not just by subject.

Each pathway organizes existing library topics into a recommended sequence for students pursuing a specific direction — medicine, engineering, pharmacy, nursing, and more.

Medicine

Preparing for medical school and clinical training.

A curated pathway through the library for students aiming at MD or DO programs — from foundational biology and chemistry through pre-med sciences and the MCAT.

View pathway

Engineering

Building the quantitative foundation engineers rely on.

Mathematics and physics form the spine of every engineering discipline. This pathway follows that spine from algebra through calculus, mechanics, electromagnetism, and modern physics.

View pathway

Pharmacy

From organic chemistry to pharmacology.

A pathway designed around the chemistry and life-science foundations of pharmacy practice — organic chemistry, biochemistry, physiology, and pharmacology.

View pathway

Nursing

Foundations for nursing admissions and practice.

A pathway aligned with nursing admissions — anatomy, physiology, biology, and chemistry — alongside the TEAS and HESI A2 admissions exams.

View pathway

Dentistry

Pre-dental science with a clinical orientation.

A curated pathway for students aiming at DDS or DMD programs — chemistry, biology, anatomy, and the pre-med sciences that overlap with dental admissions.

View pathway

Biomedical Sciences

Research-oriented preparation in the life sciences.

A pathway for students drawn to biomedical research — combining molecular biology, biochemistry, and the research and scientific skills library.

View pathway

Computer Science

Mathematics, logic, and the language of computation.

A pathway emphasizing the mathematical and analytical foundations that serious computer science programs assume — algebra, calculus, probability, and discrete-style problem solving.

View pathway

Data Science

Statistics, reasoning, and quantitative literacy.

A pathway built around the statistics, probability, and scientific-reasoning skills that underpin modern data science work.

View pathway

Biotechnology

Applied molecular biology and the modern bench.

A pathway combining molecular biology, biochemistry, and laboratory practice for students drawn to biotechnology and applied life sciences.

View pathway
View all STEM career pathways

Also Available

Preparing for a standardized exam?

Visit the Test Prep Library for SAT, ACT, AP, NY Regents, SSAT, ISEE, TEAS, HESI A2, MCAT, and Pre-Med Sciences.

Open the Test Prep Library

Begin

Start with a focused strategy conversation.

The strategy session is the first step of working together — a focused academic planning and diagnostic conversation used to understand the student before any ongoing academic support begins.

Book a Free Consultation
(201) 286 - 2527 · Vinai@ScienceMathTutoring.com