Fall 2026

Brianna's
Study Corner

Interactive diagrams and reference tools for CHM 151 and MAT 271, plus everything from summer. Click anything to explore.

CHM 151 — Gen Chem I MAT 271 — Calculus I Summer archive below
Fall 2026 — This Term
2 courses
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CHM 151
General Chemistry I — Hub
The mole map plus 21 interactive tools organized by Central Science chapter (Ch 1–10), and a quick-reference formula sheet.
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Coming soon
Calculus I — Hub
Limits, derivatives, and the chain rule — concept first, with rates of change from the plant.
MAT 172 — Pre-Calculus Trigonometry
14 tools
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MAT 172
Unit Circle
All 16 standard angles with exact sine, cosine, and tangent values. Hover any point to explore coordinates and trig values.
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MAT 172
Sine & Cosine Waves
Drag sliders to reshape amplitude, period, phase shift and vertical shift in real time. Animated trace dots show exactly where each function is.
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MAT 172
Reference Angles
Visual guide to finding reference angles in all four quadrants, ASTC sign rules, and an interactive angle diagram with instant feedback.
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MAT 172
Trig Identities
Pythagorean, reciprocal, quotient, and co-function identities — all visualized, with a live proof that sin²θ + cos²θ = 1 at every angle.
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MAT 172
Inverse Trig Functions
arcsin, arccos, arctan — working backwards from ratio to angle. Domain restrictions, evaluation, compositions, and interactive unit circle.
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MAT 172
Solving Trig Equations with Identities
Section 7.1 — use identities to get one trig function, isolate it, find all solutions using reference angles and ASTC.
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MAT 172
Sum & Difference Identities
Section 7.2 — exact values for non-special angles by splitting into 30°, 45°, 60°. All six formulas with worked examples and interactive verifier.
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MAT 172
Unit Circle → Wave
Live animation: watch a point spin around the unit circle while its height draws the sine wave in real time. Switch between sin, cos, and both together.
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MAT 172
The Tangent Function
The odd one out — no amplitude, asymptotes at every π/2 + nπ, period π not 2π. Interactive graph explorer, key values table, and practice problems.
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MAT 172
Product-to-Sum & Sum-to-Product
Section 7.4 — all 7 formulas with worked examples from class notes and an interactive verifier for all formula modes.
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MAT 172
Solving Trig Equations (7.5)
Section 7.5 — all 5 methods: linear, square root, quadratic, multiple angles, and calculator. Interactive unit circle solver included.
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MAT 172
Conic Sections
All four conics — circles, parabolas, ellipses, hyperbolas. Live interactive graphs, standard form equations, worked examples, and exam reminders for each.
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MAT 172
Parametric Equations
Sections 8.6–8.7 — x and y as functions of t. Live animation, eliminating the parameter, curve shapes, projectile motion simulator, and curve explorer.
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Coming soon
Graphing Transformations
How shifting, stretching, and reflecting changes trig graphs — amplitude, period, phase shift.
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MAT 172
Law of Sines & Cosines
Sections 8.1–8.2 — solving oblique triangles. Decision flowchart, ambiguous case, Heron's formula, and interactive triangle solvers.
The Lab — where it gets real
8 tools
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The Lab
Blogarithmic Functions
Where MAT 172 meets the real world — pH, log reductions, serial dilutions, decibels, Richter scale, and an interactive log grapher.
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The Lab
Homogenizer & Pressure Waves
PSI on your homogenizer is a sine wave. Adjust pressure and flow rate to see how cavitation breaks fat globules — the unit circle in your dairy pipe.
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The Lab
The Bloop
A sine wave from the bottom of the world. How a 1997 mystery sound connects the unit circle, ocean acoustics, and your homogenizer PSI.
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The Lab
Centrifugal Force
Why your centrifuge is just a unit circle. F = mω²r decoded — the butterfat test, RPM to radians, and the trig running your QA protocol since 1890.
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The Lab
Microbial Growth Curves
Lag, log, stationary, death — the math of how bacteria grow, why log phase is exponential, and what slow acidification looks like on a curve.
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The Lab
Food Safety Math
D-values, Z-values, thermal death time — the logarithms running your pasteurization system. The PMO numbers aren't arbitrary. They're math.
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The Lab
Science of the Octagon
The same math behind a centrifuge spin and a spinning kick. Angular velocity, vector strikes, energy systems, and momentum — with the lactate-to-yogurt connection.
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The Lab
Dairy Chemistry
Elements that matter in your vat — Ca²⁺ in casein micelles, H⁺ and pH, S in β-lactoglobulin, Cl in sanitizers. Filterable periodic table with dairy-specific notes.
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Coming soon
Osmosis & Ultrafiltration
The physics of membrane separation — osmotic pressure, flux, rejection rates, and how your UF system concentrates protein.
The Burn Book
for your eyes only
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MAT 172
Meet the Plastics
A completely unbiased account of all 9 trig functions and their behavior. "sec is just cos in a trench coat." "it's giving unrequited." Petty. Accurate. Do not share with the x-axis.
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BIO 111
The Osmosis Burn Book
Water cannot mind her business. A completely unbiased account of why osmosis is so annoying. "the membrane is doing group project labor." Do not leave unattended near a semipermeable membrane.
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BIO 111
The Pathogen Burn Book
Salmonella, Listeria, C. botulinum (and Botox), E. coli O157:H7, Yersinia pestis, HAV, Norovirus, and Cryptosporidium. A completely unbiased account. Do not share with the pathogens — they already know what they did.
The Scrabble Playbook
just for fun
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Just for Fun
The Scrabble Playbook
Board geometry · all 107 two-letter words · Q without U · vocabulary worth actually knowing · grandmaster strategy · bingo stems · quiz. The poet and the assassin in one page.
Why is OSHA Here?
process safety
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Process Safety
Why is OSHA Here?
An interactive guide to chemical safety — GHS pictograms, all 16 SDS sections, hazard classes, PPE selection, chemical compatibility (bleach + acid = evacuate), and emergency response including HAZWOPER and PSM.
BIO 111 — Biology
14 tools
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BIO 111
Interactive Periodic Table
All 118 elements — clickable for details, filterable by category, searchable by name or symbol. Includes biological roles for every element.
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BIO 111
Life's Building Blocks
CHON + minerals — the elements that make biology possible. Four tiers from the big four to trace elements, with body percentages and biological roles.
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BIO 111
Elements by Biological Role
All 118 elements sorted by what they do biologically — essential macrominerals, trace elements, medically important, toxic, and not biologically active.
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BIO 111
The Scientific Method
All 6 steps with real-world examples, key vocabulary, and the hypothesis branch — what happens when results say yes or no.
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BIO 111
HeLa Cells & Scientific Ethics
The story of Henrietta Lacks, informed consent, the Belmont Report, and why it still matters today. Timeline, ethics principles, and vocabulary.
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BIO 111
Properties of Life
All 8 properties with examples and edge cases, plus an interactive "Is it alive?" quiz — virus, fire, crystal, mule, coral and more.
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BIO 111
Famous Organisms
8 prokaryotes and eukaryotes that changed science — from the bacterium in your yogurt to the worm that survived a Space Shuttle disaster.
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BIO 111
Cell Structure
Clickable animal, plant, and prokaryote cell diagrams. Compare cell types side by side — prokaryote vs. eukaryote, plant vs. animal.
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BIO 111
Chemistry of Life
Macromolecules, pH interactive scale, water properties, and chemical bonds — the chemistry foundation for everything else in bio.
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BIO 111
Trophic Systems & Ecology
Trophic pyramid, cascades (salt marsh + Yellowstone), top-down vs bottom-up, food web, and microbial ecology including bacteriophage in dairy.
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BIO 111
Phylogenetic Tree of Life
Clickable tree from LUCA to mammals, how to read phylogenies, 4 billion years of history, and the full classification system with your organisms.
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BIO 111
Atoms, Isotopes, Ions & Molecules
Interactive atomic structure, isotope explorer, ion formation, and the three types of chemical bonds — the chemistry foundation of all biology.
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BIO 111
BIO 111 Quiz
Flashcards + multiple choice across all BIO 111 topics. Filter by subject, shuffle, get immediate feedback on every answer. 70+ questions.
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BIO 111
Energy & Metabolism
The full cellular respiration pathway — glycolysis, Krebs cycle, electron transport chain, and fermentation. Includes the yogurt-to-muscle lactate connection.
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Coming soon
DNA & Genetics
Replication, transcription, translation — the central dogma visualized. Mitosis vs. meiosis and Mendelian genetics.
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Coming soon
Evolution & Natural Selection
Darwin's theory, evidence for evolution, population genetics, and speciation — how life changes over time.
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Coming soon
Body Systems
Digestive, circulatory, immune, nervous — how organ systems work together to keep you alive.
Quick reference
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Download separately
Summer Agenda
June & July calendar with assignment tracker and study hours log. Available as an Excel file.