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An AI-driven educational platform available 24/7 for exploring and growing in any one of a variety of subject matters

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A smarter way to learn

Voice-First Lectures

Talk to your tutor naturally. polyment listens, responds, and explains concepts out loud using a warm AI voice.

Structured Curriculum

Every course is broken into units and lessons with clear objectives — so you always know what you're learning and why.

Conversational Assessment

After each lesson, your tutor checks your understanding through natural conversation — not multiple choice.

Available courses

Explore our growing library of AI-taught courses

🔣

Algebra & Functions Review

Master the algebraic foundations required for calculus — real numbers, equations, functions, polynomials, and mathematical modeling.

3 units10 lessons
Algebraic Foundations3 lessons
Functions3 lessons
Advanced Function Types4 lessons
📐

Trigonometry

Develop a deep understanding of angles, the unit circle, trig functions, identities, and their applications in waves and geometry.

3 units10 lessons
Trigonometric Foundations4 lessons
Identities and Equations3 lessons
Applications3 lessons
📈

Exponentials, Logarithms & Sequences

Explore exponential and logarithmic functions, growth models, sequences, series, and a conceptual introduction to limits.

2 units10 lessons
Exponentials and Logarithms5 lessons
Sequences, Series, and Limits5 lessons
📉

Calculus I: Differential Calculus

Build the foundations of calculus — limits, continuity, derivatives, and their applications in optimization and curve analysis.

3 units12 lessons
Limits and Continuity2 lessons
Differentiation6 lessons
Applications of Derivatives4 lessons

Calculus II: Integral Calculus

Master integration techniques, the Fundamental Theorem of Calculus, and applications including area, volume, and series.

3 units12 lessons
The Definite Integral3 lessons
Integration Techniques5 lessons
Applications and Series4 lessons
🌐

Calculus III: Multivariable Calculus

Extend calculus into higher dimensions — vectors, partial derivatives, multiple integrals, and the theorems of vector calculus.

3 units12 lessons
Vectors and Multivariable Differentiation5 lessons
Multiple Integration2 lessons
Vector Calculus5 lessons

Differential Equations

Study equations involving derivatives — separation of variables, linear equations, Laplace transforms, and real-world applications.

3 units10 lessons
First-Order Equations4 lessons
Second-Order Equations and Transforms3 lessons
Systems and Applications3 lessons
🔲

Linear Algebra

Explore matrices, vector spaces, linear transformations, eigenvalues, and applications in data science and machine learning.

3 units10 lessons
Matrices and Systems3 lessons
Vector Spaces and Transformations4 lessons
Eigentheory and Applications3 lessons
🎲

Probability & Statistics

Develop rigorous probabilistic reasoning — distributions, random variables, inference, and regression analysis.

3 units10 lessons
Probability Theory5 lessons
Limit Theorems2 lessons
Statistical Inference3 lessons
📐

Real Analysis I

A rigorous development of limits, continuity, differentiation, and integration using epsilon-delta arguments and completeness of the reals.

3 units10 lessons
Foundations of Analysis3 lessons
Rigorous Calculus4 lessons
Sequences of Functions3 lessons
📏

Real Analysis II

Metric spaces, topology, Fourier analysis, measure theory, and Lebesgue integration.

3 units10 lessons
Topology3 lessons
Advanced Analysis4 lessons
Measure Theory3 lessons
🌀

Complex Analysis

Complex differentiability, Cauchy's theorem, Laurent series, residues, and conformal mapping.

3 units10 lessons
Complex Functions3 lessons
Complex Integration4 lessons
Applications3 lessons
🔬

Advanced Real Analysis

Abstract measure theory, Lebesgue integration, functional analysis, and spectral theory.

3 units10 lessons
Measure Theory3 lessons
Function Spaces4 lessons
Spectral Theory3 lessons
🌊

Advanced Differential Equations

PDEs — heat, wave, Laplace — Green's functions, Fourier methods, and nonlinear dynamics.

3 units10 lessons
Classical PDEs4 lessons
Boundary Problems and Methods3 lessons
Advanced Topics3 lessons
💻

Numerical Analysis

Error analysis, root finding, interpolation, quadrature, linear systems, and optimization algorithms.

3 units10 lessons
Core Algorithms4 lessons
Integration and Linear Systems3 lessons
Optimization and Stability3 lessons
⚙️

Calculus of Variations

Euler-Lagrange equations, optimal control, Hamiltonian mechanics, and variational principles in physics.

3 units10 lessons
Foundations3 lessons
Physics and Control4 lessons
Advanced Topics3 lessons
🧩

Mathematical Modeling & Research Seminar

Model formulation, dimensional analysis, simulation, data integration, and research communication.

3 units10 lessons
Foundations of Modeling4 lessons
Data and Applications2 lessons
Research and Communication4 lessons
🇪🇸

Introduction to Spanish

Greetings, grammar, and everyday conversations in Spanish.

4 units24 lessons
¡Hola! Greetings & Introductions6 lessons
Building Blocks: Nouns & Descriptions6 lessons
Essential Verbs6 lessons
Simple Conversations6 lessons
🇪🇸

Spanish 102: Building Blocks

Present tense mastery, descriptions, questions, and daily life in Spanish.

4 units24 lessons
Present Tense Mastery6 lessons
Descriptions & Comparisons6 lessons
Questions, Negation & Numbers6 lessons
Daily Life & Reflexive Verbs6 lessons
🇪🇸

Spanish 201: Intermediate Grammar

Past tenses, future, conditional, and object pronouns in Spanish.

4 units24 lessons
The Preterite Tense6 lessons
The Imperfect Tense6 lessons
Future & Conditional6 lessons
Object Pronouns & Por/Para6 lessons
🇪🇸

Spanish 202: Advanced Fluency

Subjunctive, perfect tenses, passive voice, and idiomatic Spanish.

4 units24 lessons
The Subjunctive Mood6 lessons
Perfect Tenses6 lessons
Passive Voice & Advanced Structures6 lessons
Idioms, Register & Advanced Conversation6 lessons
📚

World Literature Foundations

Build the foundational knowledge and analytical skills to engage deeply with world literature. From the earliest oral traditions to critical theory, this course prepares you to read, analyze, and write about texts across cultures and centuries.

2 units20 lessons
Introduction to World Literature10 lessons
Literary Analysis and Critical Methods10 lessons
🏛️

World Literature Through History

Survey literature from the ancient world through the twenty-first century. Each unit places major works in their historical and cultural context, tracing the development of literary forms, ideas, and traditions across six major periods.

6 units60 lessons
Ancient Literature10 lessons
Medieval Literature10 lessons
Renaissance and Early Modern Literature10 lessons
Eighteenth and Nineteenth Century Literature10 lessons
Modern Literature (1900–1945)10 lessons
Contemporary and 21st-Century Literature10 lessons
🔬

Advanced World Literature: Themes and Traditions

Move beyond chronology into deep thematic study. Examine how the greatest writers across cultures have grappled with the hero, love, power, death, nature, and language itself — drawing connections across centuries and continents.

6 units30 lessons
The Hero Across Cultures5 lessons
Love, Desire, and Transgression5 lessons
Power, Politics, and Resistance5 lessons
Death, Grief, and the Afterlife5 lessons
Nature, Place, and the Environment5 lessons
Translation, Language, and World Literature5 lessons
🎓

Graduate Seminars in World Literature

Engage with world literature at the graduate level. These seminars examine theory and method, comparative approaches, major works in depth, and scholarly practice — preparing advanced students for research, criticism, and academic writing.

4 units20 lessons
Theory and Method in World Literature5 lessons
Comparative Literature: Advanced Approaches5 lessons
Major Works in Depth5 lessons
Scholarly Research and Academic Writing5 lessons
🏆

Capstone: World Literature Research and Creation

Synthesize your learning through original research and creative work. Whether writing a scholarly thesis, building a digital humanities project, or crafting your own literary work in conversation with world literary traditions, this capstone puts you at the center of the literary conversation.

3 units15 lessons
The Research Thesis5 lessons
Digital Humanities and World Literature5 lessons
Creative Writing in World Literary Traditions5 lessons

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