Mathematics Program — Open Learning Path

40 courses, from foundations to advanced mathematics. Choose a course, check its prerequisites, and open the learning materials.

Download this map — one HTML fileAll available languages — ZIP download page

The map, search, prerequisites, and local progress work without internet. Linked books must be downloaded separately; external links need a connection.

Language buttons in a single-file download open the online site. To switch languages without internet, download the multilingual ZIP, extract everything, then open START-HERE.html.

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Records stay in this browser and are not sent to a server. Languages share the same record on this site. This is a personal record, not certification.

Courses

All 40 courses and their links work without JavaScript. Search and progress records require JavaScript.

A00Foundations & calculus

Prealgebra and Quantitative Foundations

Integers, fractions, decimals, percentages, ratios, measurement, and basic equations.

Prerequisites

None — you can start here.

Continue to

A10 — Elementary Algebra
About this course

Learning outcome

Work reliably with numerical representations and distinguish arithmetic mistakes from conceptual ones.

Program-hosted reader

Program-hosted complete English HTML readerHTML · EnglishComplete English HTML reader — offline ZIPHTML ZIP · English · Offline after download

Authoritative original source

Original publisher page — OpenStax Prealgebra 2eHTML · English

Matching format set — Bahasa Indonesia

Bahasa Indonesia — Prealgebra PDF — 1,638 pagesPDF · Bahasa Indonesia · Offline after downloadBahasa Indonesia — Cumulative LaTeX for the Prealgebra PDFTEX · Bahasa IndonesiaBahasa Indonesia — Complete Prealgebra PDF and EPUB sourceZIP · Bahasa IndonesiaBahasa Indonesia — Prealgebra EPUBEPUB · Bahasa Indonesia · Offline after downloadBahasa Indonesia — Zenodo archive — Indonesian format editionHTML · Bahasa Indonesia

Format edition 5 October 2026, Indonesian content: 75 modules; PDF, LaTeX, source ZIP and EPUB form one matching set. PDF and EPUB rebuild byte-identically. The CNXML/MathML master and earlier editions remain available. Original authors: Lynn Marecek, MaryAnne Anthony-Smith and Andrea Honeycutt Mathis, OpenStax. Translation: OpenAI Codex gpt-5.6-sol, Ultra effort. Format exports and integration: OpenAI Codex — GPT-6 Astra, Ultra effort. Not a new translation or mathematical review. Component licence terms remain in the source package. External references need internet.

Matching format set — English

English Prealgebra PDF — 1,591 pagesPDF · English · Offline after downloadCumulative LaTeX for the English Prealgebra PDFTEX · EnglishComplete English Prealgebra PDF and EPUB sourceZIP · EnglishEnglish Prealgebra EPUBEPUB · English · Offline after download

Format edition 5 October 2026, original English text: 75 modules. PDF, cumulative LaTeX, source ZIP and EPUB form one matching set; PDF and EPUB rebuild byte-identically from the source package. The CNXML/MathML master and earlier HTML remain available. Authors: Lynn Marecek, MaryAnne Anthony-Smith and Andrea Honeycutt Mathis, OpenStax. HTML preparation: OpenAI Codex gpt-5.6-sol, Ultra effort. Format exports and integration: OpenAI Codex — GPT-6 Astra, Ultra effort. Not a new translation, mathematical review or human review. Component licences and credits are included in the source package. External links need internet.

A00 · English concepts, modules and exercisestool · English

75 modules; 35 concepts; shared native identities and source evidence. An English interface to existing native metadata, not an Everyday-English rewrite. Linked evidence retains its declared source language; this does not claim every linked item is English. Source-supplied solutions and explicit missing solutions remain distinct; no new answers are generated. Adapter validation is not proof of whole-book native build or full backend parity.

A00 · English educator maptool · English

75 modules; 35 concepts; shared native identities and source evidence. An English interface to existing native metadata, not an Everyday-English rewrite. Linked evidence retains its declared source language; this does not claim every linked item is English. Source-supplied solutions and explicit missing solutions remain distinct; no new answers are generated. Adapter validation is not proof of whole-book native build or full backend parity.

Other-language material / source / backend

Open Courses: preparation and further study

A10Foundations & calculus

Elementary Algebra

Linear equations and inequalities, graphs, systems, exponents, polynomials, factoring, rational expressions, and radicals.

About this course

Learning outcome

Translate quantitative relationships into algebra and explain each solution step.

Program-hosted reader

Program-hosted complete English HTML readerHTML · EnglishComplete English HTML reader — offline ZIPHTML ZIP · English · Offline after download

Authoritative original source

Original publisher page — OpenStax Elementary Algebra 2eHTML · English
A10 · English concepts, modules and exercisestool · English

82 modules; 144 concepts; shared native identities and source evidence. An English interface to existing native metadata, not an Everyday-English rewrite. Linked evidence retains its declared source language; this does not claim every linked item is English. Source-supplied solutions and explicit missing solutions remain distinct; no new answers are generated. Adapter validation is not proof of whole-book native build or full backend parity.

A10 · English educator maptool · English

82 modules; 144 concepts; shared native identities and source evidence. An English interface to existing native metadata, not an Everyday-English rewrite. Linked evidence retains its declared source language; this does not claim every linked item is English. Source-supplied solutions and explicit missing solutions remain distinct; no new answers are generated. Adapter validation is not proof of whole-book native build or full backend parity.

Other-language material / source / backend

Open Courses: preparation and further study

A20Foundations & calculus

Intermediate Algebra

Functions, quadratic and rational models, radicals, complex numbers, exponentials, logarithms, conics, and sequences.

About this course

Learning outcome

Enter precalculus with reliable symbolic fluency and a clear understanding of functions.

Open Courses: preparation and further study

A30Foundations & calculus

Precalculus and Trigonometry

Function transformations, polynomial and rational models, exponentials, logarithms, trigonometry, analytic geometry, systems, and introductory limits.

About this course

Learning outcome

Model with elementary functions and identify any algebra that needs reinforcement before calculus.

Open Courses: preparation and further study

B10Discrete mathematics & logic

Proof, Logic, and Discrete Structures

Propositional and predicate logic, sets, functions, relations, proof techniques, graphs, counting, and sequences.

About this course

Learning outcome

Read, construct, and critique elementary proofs before studying advanced theory.

Open Courses: preparation and further study

B20Foundations & calculus

Differential Calculus

Limits, continuity, derivatives, approximation, optimization, and mathematical modeling.

About this course

Learning outcome

Use derivatives computationally and conceptually, stating the hypotheses behind each argument.

Program-hosted reader

Program-hosted original English reader — CLP-1 textbook and 695 exercises with solutionsHTML · EnglishComplete English reader and original source — offline ZIPHTML ZIP · English · Offline after download

Authoritative original source

Original authors’ website — CLP-1 textbook, problems and PDFsHTML · EnglishCLP-1 — textbook (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-1 — problem book (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-1 — authors’ editable sourcesrepository · English

Original LaTeX and PreTeXt sources. The repository is not a verified matching source package for the linked PDFs.

B20 · English CLP assignment plannertool · English

695 exercises from the frozen Indonesian-edition source; original identities, format distinctions and recorded support. An assignment planner with exercise references, not a printable worksheet. The additive CLP1 mapping connects 695 questions, 620 hints, 695 answers and 695 solutions to verified translated-source spans and start pages in the Indonesian PDF. Native identities and historical states remain unchanged, including 30 questions translated in their parent files. PDF numbers are not printed page numbers. Links require a connection; for offline reading, download the PDF separately and use the displayed PDF page numbers. A missing hint means none is recorded (75 exercises). This checks structure and navigation, not mathematical correctness or translation quality anew. The English interface still uses the Indonesian book and does not assert coverage or numbering of other English editions.

Other-language material / source / backend

Open Courses: preparation and further study

B30Foundations & calculus

Integral Calculus

Integration, the fundamental theorem, applications, sequences, series, and introductory differential equations.

About this course

Learning outcome

Choose and justify integration and series methods, connecting accumulation with local rates.

Program-hosted reader

Program-hosted original English reader — CLP-2 textbook and 737 exercises with solutionsHTML · EnglishComplete English reader and original source — offline ZIPHTML ZIP · English · Offline after download

Authoritative original source

Original authors’ website — CLP-2 textbook, problems and PDFsHTML · EnglishCLP-2 — textbook (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-2 — problem book (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-2 — authors’ editable sourcesrepository · English

Original LaTeX and PreTeXt sources. The repository is not a verified matching source package for the linked PDFs.

B30 · English CLP assignment plannertool · English

596 exercises from the frozen Indonesian-edition source; original identities, format distinctions and recorded support. An assignment planner using source identities, not a printable worksheet. Exercise text remains in the books. This frozen corpus follows the Indonesian edition source snapshot; the English interface does not assert coverage or numbering of other English editions. CLP1 has translated-file alignment only, not per-exercise target locations. Group/local numbers describe the source structure and need not equal printed numbering. A missing hint means none is recorded in this backend. No PDF page or HTML reader anchors are claimed.

Other-language material / source / backend
Bahasa Indonesia — Combined textbook and problems — 1243 pagesPDF · Bahasa Indonesia · Offline after downloadB30 · Perencana tugas CLPtool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

B30 · Rute baca keluarga CLPtool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

B40Algebra

Linear Algebra

Linear systems, vector spaces, linear maps, matrices, determinants, eigenvalues, and applications.

About this course

Learning outcome

Connect computation, structure, and proof in finite-dimensional mathematics.

Open Courses: preparation and further study

B50Foundations & calculus

Multivariable Calculus

Multivariable geometry, partial derivatives, multiple integrals, constrained optimization, and coordinate systems.

About this course

Learning outcome

Analyze scalar functions of several variables and relate local linearization to geometry.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

CLP-3: textbook and problemsHTML · EnglishCLP-3 — textbook (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-3 — problem book (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-3 — authors’ editable sourcesrepository · English

Original LaTeX and PreTeXt sources. The repository is not a verified matching source package for the linked PDFs.

B50 · English CLP assignment plannertool · English

497 exercises from the frozen Indonesian-edition source; original identities, format distinctions and recorded support. An assignment planner using source identities, not a printable worksheet. Exercise text remains in the books. This frozen corpus follows the Indonesian edition source snapshot; the English interface does not assert coverage or numbering of other English editions. CLP1 has translated-file alignment only, not per-exercise target locations. Group/local numbers describe the source structure and need not equal printed numbering. A missing hint means none is recorded in this backend. No PDF page or HTML reader anchors are claimed.

Other-language material / source / backend

Open Courses: preparation and further study

B60Foundations & calculus

Vector Calculus

Vector fields, line and surface integrals, and the theorems of Green, Stokes, and divergence.

About this course

Learning outcome

Explain the integral theorems connecting local differential structure with global quantities.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

CLP-4: textbook and problemsHTML · EnglishCLP-4 — textbook (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-4 — problem book (original English PDF)PDF · English

Author-hosted English original; textbook and problem book are separate PDFs. The publisher may update these files.

CLP-4 — authors’ editable sourcesrepository · English

Original LaTeX and PreTeXt sources. The repository is not a verified matching source package for the linked PDFs.

B60 · English CLP assignment plannertool · English

410 exercises from the frozen Indonesian-edition source; original identities, format distinctions and recorded support. An assignment planner using source identities, not a printable worksheet. Exercise text remains in the books. This frozen corpus follows the Indonesian edition source snapshot; the English interface does not assert coverage or numbering of other English editions. CLP1 has translated-file alignment only, not per-exercise target locations. Group/local numbers describe the source structure and need not equal printed numbering. A missing hint means none is recorded in this backend. No PDF page or HTML reader anchors are claimed.

Other-language material / source / backend

Open Courses: preparation and further study

B70Foundations & calculus

Ordinary Differential Equations and Dynamical Systems

First-order and higher-order equations, systems, transforms, series, phase planes, and introductory Fourier methods.

About this course

Learning outcome

Formulate, analyze, approximate, and communicate solutions of standard differential-equation models.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Notes on Diffy QsHTML · English
Other-language material / source / backend
Bahasa Indonesia — Open learning materialreader · Bahasa IndonesiaSusun rencana kegiatan pengajartool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Buku, latihan, dan dukungan sumbertool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Istilah dan alternatif keluarga Lebltool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

B80Computing & optimization

Mathematical Computing and Reproducible Experiments

Python, SageMath, symbolic and numerical computation, visualization, testing, literate notebooks, and reproducibility.

About this course

Learning outcome

Implement mathematical experiments while distinguishing computation, evidence, and proof.

Program-hosted reader

Mathematical Computing — complete English HTML readerHTML · EnglishMathematical Computing — English PDF — 161 pagesPDF · English · Offline after downloadEnglish EPUB — 14 units, edition 2026.08.31.en1EPUB · English · Offline after download

Unchanged English-release EPUB. EPUBCheck reports one invalid alt attribute on a figure container; image alternative text remains present. This historical file is retained; a repaired EPUB is available in the 3 October 2026 format set. External references need internet.

Authoritative original source

Komputasi Matematis dan Eksperimen ReprodusibelHTML · Bahasa Indonesia

Matching format set — Bahasa Indonesia

Bahasa Indonesia — Derived PDF — 135 pages — IndonesianPDF · Bahasa IndonesiaBahasa Indonesia — Cumulative LaTeX for the derived PDF — IndonesianTEX · Bahasa IndonesiaBahasa Indonesia — Complete PDF and EPUB source — IndonesianZIP · Bahasa IndonesiaBahasa Indonesia — Repaired EPUB — IndonesianEPUB · Bahasa Indonesia · Offline after downloadBahasa Indonesia — Zenodo archive — Indonesian format editionHTML · Bahasa Indonesia

Format edition 3 October 2026: PDF, LaTeX, source ZIP and EPUB form one matching set. PDF and EPUB rebuild byte-identically; EPUBCheck has no errors/warnings. Original text is preserved; Quarto remains the native master. Not a new translation or mathematical review. External references need internet.

Matching format set — English

Derived PDF — 133 pages — EnglishPDF · EnglishCumulative LaTeX for the derived PDF — EnglishTEX · EnglishComplete PDF and EPUB source — EnglishZIP · EnglishRepaired EPUB — EnglishEPUB · English · Offline after downloadZenodo archive — English format editionHTML · English

Format edition 3 October 2026: PDF, LaTeX, source ZIP and EPUB form one matching set. PDF and EPUB rebuild byte-identically; EPUBCheck has no errors/warnings. Original text is preserved; Quarto remains the native master. Not a new translation or mathematical review. External references need internet.

B80 · English learner and exercise maptool · English

14 units, 75 exercises, four laboratories, and four prerequisite routes with the native B80 identities preserved. This is an additive English projection of the same B80 course, units, exercises, laboratories, and prerequisite routes; it is not a duplicate backend. The map routes to the public English reader and does not execute Python or SageMath in this program website. Native experiment receipts are preserved as source evidence and are not rerun by this adapter. The navigation page works offline; linked lessons and course tools require their own download or network access.

B80 · English educator maptool · English

English unit planning for the same 14 B80 units, 75 exercises, four laboratories, and four prerequisite routes. This is an additive English projection of the same B80 course, units, exercises, laboratories, and prerequisite routes; it is not a duplicate backend. The map routes to the public English reader and does not execute Python or SageMath in this program website. Native experiment receipts are preserved as source evidence and are not rerun by this adapter. The navigation page works offline; linked lessons and course tools require their own download or network access.

Open Data Structures — Pat Morin, complete Java bookHTML · English

Fourteen chapters with proofs, Java implementations and exercises. English PDF, cumulative LaTeX and editable-source ZIP; English and Indonesian navigation. A data-structures companion to the computing course. Source assembly, typesetting and programme navigation: OpenAI Codex — GPT-6.1 Sol, Ultra effort.

Other-language material / source / backend
Complete English computing edition archivearchive · EnglishBahasa Indonesia — Open learning materialreader · Bahasa IndonesiaBahasa Indonesia — Downloadedition · Bahasa IndonesiaPanduan kegiatan untuk pengajartool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Unit, latihan, dan pemeriksaantool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Bahasa Indonesia — Indonesian EPUB — 14 units, edition 2026.08.22.1EPUB · Bahasa Indonesia · Offline after download

Unchanged original-release EPUB. EPUBCheck reports one invalid alt attribute on a figure container; image alternative text remains present. This historical file is retained; a repaired EPUB is available in the 3 October 2026 format set. External references need internet.

Bahasa Indonesia — Indonesian Quarto source — edition 2026.08.22.1ZIP · Bahasa Indonesia

Contains 14 source units, code, tests, licences and build instructions. This historical Quarto package contains no cumulative LaTeX; LaTeX for the derived PDF is available in the 3 October 2026 format set. This integration has not rerun the build.

English Quarto source — edition 2026.08.31.en1ZIP · English

Contains 14 English source units, code, tests, licences and build instructions. This historical Quarto package contains no cumulative LaTeX; LaTeX for the derived PDF is available in the 3 October 2026 format set. This integration has not rerun the build.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

B90Probability & statistics

Calculus-Based Probability

Discrete and continuous probability, conditioning, random variables, expectation, limits, simulation, and Markov chains.

About this course

Learning outcome

Construct probabilistic models and connect analytical results with simulation.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Grinstead–Snell: Introduction to ProbabilityPDF · English
Other-language material / source / backend

Open Courses: preparation and further study

B95Probability & statistics

Applied Statistics and Data Analysis

Data collection, summaries, inference, regression, and the interpretation of uncertainty.

About this course

Learning outcome

Analyze data reproducibly and communicate conclusions with their assumptions and limitations.

Open Courses: preparation and further study

C10Analysis

Real Analysis I

Real numbers, sequences, limits, continuity, differentiation, and integration with rigorous proofs.

About this course

Learning outcome

Move from calculus techniques to precise definitions and mathematical arguments.

Program-hosted reader

Read Basic Analysis IHTML · English

Authoritative original source

Basic Analysis IHTML · English
Other-language material / source / backend
Bahasa Indonesia — Open learning materialreader · Bahasa IndonesiaSusun rencana kegiatan pengajartool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Buku, latihan, dan dukungan sumbertool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Istilah dan alternatif keluarga Lebltool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

C20Analysis

Real Analysis II

Multivariable analysis, metric spaces, function sequences, and deeper convergence and integration results.

About this course

Learning outcome

Use analytical structure and carefully check the hypotheses of advanced results.

Program-hosted reader

Read Basic Analysis IIHTML · English

Authoritative original source

Basic Analysis IIHTML · English
Other-language material / source / backend
Bahasa Indonesia — Open learning materialreader · Bahasa IndonesiaSusun rencana kegiatan pengajartool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Buku, latihan, dan dukungan sumbertool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Istilah dan alternatif keluarga Lebltool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

C30Algebra

Abstract Algebra I

Groups, subgroups, homomorphisms, quotient structures, group actions, and examples.

About this course

Learning outcome

Reason structurally about algebraic objects using definitions and proofs.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Abstract Algebra: Theory and ApplicationsHTML · English
C30 · English abstract algebra assignment plannertool · English

610 source/target exercise identities; 140 populated hints; 76 empty response slots, not supplied answers. This planner selects exercise references; it does not copy exercises into a new worksheet. Local numbers follow source exercise groups, not PDF page numbers. Across both courses there are 213 populated hints; 116 empty response slots are not supplied answers or solutions. 99 exercises are in the Sage edition only. Frozen references follow edition 2026.08.22.2. Current online reader links have been checked, but their content may differ from the frozen archives. Both interfaces point to Indonesian books.

Other-language material / source / backend

Open Courses: preparation and further study

C40Algebra

Abstract Algebra II

Rings, ideals, fields, polynomial algebra, field extensions, and Galois theory.

About this course

Learning outcome

Analyze algebraic extensions and connect ring and field structure with solvability.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Abstract Algebra: Theory and ApplicationsHTML · English
C40 · English abstract algebra assignment plannertool · English

303 source/target exercise identities; 73 populated hints; 40 empty response slots, not supplied answers. This planner selects exercise references; it does not copy exercises into a new worksheet. Local numbers follow source exercise groups, not PDF page numbers. Across both courses there are 213 populated hints; 116 empty response slots are not supplied answers or solutions. 99 exercises are in the Sage edition only. Frozen references follow edition 2026.08.22.2. Current online reader links have been checked, but their content may differ from the frozen archives. Both interfaces point to Indonesian books.

Other-language material / source / backend

Open Courses: preparation and further study

C50Analysis

Complex Analysis

Holomorphic functions, complex integration, series, singularities, residues, and conformal ideas.

Prerequisites

C20 — Real Analysis II

Continue to

No direct successor in this map.

About this course

Learning outcome

Use the interaction of complex differentiability, geometry, and integration.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Guide to Cultivating Complex AnalysisPDF · English
Other-language material / source / backend
Bahasa Indonesia — Open learning materialreader · Bahasa IndonesiaSusun rencana kegiatan pengajartool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Buku, latihan, dan dukungan sumbertool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Istilah dan alternatif keluarga Lebltool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

C60Discrete mathematics & logic

Number Theory and Cryptology

Divisibility, congruences, primes, arithmetic functions, and cryptological applications.

Prerequisites

B10 — Proof, Logic, and Discrete StructuresC30 — Abstract Algebra I

Continue to

No direct successor in this map.

About this course

Learning outcome

Prove arithmetic results and explain the mathematical assumptions of cryptographic constructions.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Yet Another Introductory Number Theory TextbookPDF · English
Other-language material / source / backend

Open Courses: preparation and further study

C70Discrete mathematics & logic

Applied Combinatorics

Counting, graphs, generating functions, recurrence relations, and combinatorial structures.

About this course

Learning outcome

Model discrete problems and justify combinatorial algorithms and arguments.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Applied CombinatoricsHTML · English
Other-language material / source / backend

Open Courses: preparation and further study

C80Discrete mathematics & logic

Mathematical Logic, Set Theory, and Computability

Formal logic, model and proof concepts, sets, computability, and metamathematical limits.

About this course

Learning outcome

Distinguish syntax, semantics, and computation in rigorous mathematical reasoning.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Open Logic complete buildPDF · English
C80 · English OpenLogic assignment plannertool · English

442 printed occurrences from 427 source exercises; eleven unrendered sources retained separately. Links open the Indonesian book. This planner selects references, not copied exercises. Both interfaces point to the same Indonesian book. Page numbers are physical PDF pages, not printed page labels. A source exercise can appear in two reader contexts; each occurrence has its own identity. Answers, hints and solutions have not been audited. This structural mapping is not a renewed translation-quality or mathematical-proof review.

Other-language material / source / backend

Open Courses: preparation and further study

C90Geometry & topology

Point-Set Topology

Topological spaces, continuity, bases, compactness, connectedness, and separation.

About this course

Learning outcome

Construct examples and proofs using intrinsic topological definitions.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Topology: An Inquiry-Based ApproachHTML · English
Other-language material / source / backend

Open Courses: preparation and further study

C100Geometry & topology

Euclidean and Non-Euclidean Geometry

Euclidean, affine, projective, and non-Euclidean perspectives with proof and problem solving.

About this course

Learning outcome

Compare geometric axioms and connect constructions with deductive arguments.

Open Courses: preparation and further study

C110Computing & optimization

Numerical Analysis

Approximation, linear systems, interpolation, numerical calculus, and differential equations.

About this course

Learning outcome

Choose numerical methods and analyze their error, stability, and convergence.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Tea Time Numerical AnalysisPDF · English
The Science of Computing — Victor Eijkhout, complete English bookHTML · English

Computer arithmetic and round-off, finite differences for ordinary and partial differential equations, direct and iterative solvers with conjugate gradients, GMRES and preconditioning, and performance on real machines. English PDF and LaTeX source ZIP; chapters 1–5 also in the author’s HTML edition; English and Indonesian navigation. CC BY 4.0. Programme integration and study pages: Claude Opus 5.5 (Anthropic).

Other-language material / source / backend
Bahasa Indonesia — Open learning materialreader · Bahasa IndonesiaC110 · Analisis Numeriktool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Bahasa Indonesia — Edition 3.0-id.2-r1 PDF — 387 pagesPDF · Bahasa Indonesia

The same released Indonesian PDF; the cumulative source reproduces this file byte-for-byte.

Bahasa Indonesia — Complete cumulative LaTeX — edition 3.0-id.2-r1TEX · Bahasa Indonesia

Complete Indonesian text, including exercises, solutions and answers. Use the figures, bibliography and styles from the same edition’s source ZIP.

Bahasa Indonesia — Complete source and backend ZIP — edition 3.0-id.2-r1ZIP · Bahasa Indonesia

895 original release files: source, figures, bibliography, styles, backend, licences and build instructions. Not an EPUB or HTML reader bundle.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

C120Computing & optimization

Mathematical Modeling and Nonlinear Dynamics

Model formulation, scaling, discrete and continuous dynamics, computation, and interpretation.

About this course

Learning outcome

Develop, analyze, test, and critique mathematical models.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Introduction to Mathematical ModelingHTML · English
Other-language material / source / backend

Open Courses: preparation and further study

C130Computing & optimization

Linear and Integer Optimization

Linear and integer programming, modeling, algorithms, duality, and computational examples.

About this course

Learning outcome

Formulate optimization problems and interpret solutions and certificates.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Open Optimization: Linear and Integer ProgrammingHTML · English
C130 · English Operations Research assignment plannertool · English

203 exercises, twelve checkpoints with answers and twelve visual activities in the Indonesian Book 1 edition. English controls and navigation; linked textbook content is Indonesian, not an English edition. All 132 additional solutions have page references: 104 single passages, fourteen ordered fragment groups, twelve exercise-reference starts and two example-based starts. Links do not map full solution extent or verify formulas; solutions may continue on following pages. Solver results were not rerun.

C130 · Terminology and correction lookuptool · English

140 native terminology choices and 94 correction records, with offline search and concept/source references. English interface; original quotations retain their Indonesian or English language. The linked book is Indonesian. Producer records are not new semantic canon approval. All 21 old locator gaps are resolved; one alignment-file identity mismatch remains. Concept relationships do not establish literal term occurrences.

Other-language material / source / backend

Open Courses: preparation and further study

C140Probability & statistics

Mathematical Statistics

Estimation, sufficiency, completeness, hypothesis tests, and statistical decision principles.

About this course

Learning outcome

Derive statistical procedures and justify their assumptions and properties.

Open Courses: preparation and further study

D10Analysis

Measure and Integration

Measures, measurable functions, integration, convergence, and product constructions.

About this course

Learning outcome

Use measure-theoretic definitions and theorems with careful control of hypotheses.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Fremlin: Measure TheoryPDF index · English
Other-language material / source / backend

Open Courses: preparation and further study

D20Analysis

Functional Analysis

Normed and Hilbert spaces, operators, functional-analytic methods, and operator algebras.

About this course

Learning outcome

Connect infinite-dimensional structure with analytical and spectral arguments.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Functional Analysis and Operator AlgebrasPDF · English
D20 · Sources, terminology and correctionstool · English

425 terms, 2,196 source/translation fragment pairs, 286 corrections and the original terminology QA and rights records. English interface; quoted records keep their original language. Chapter reading links are Indonesian; the original English PDF is linked separately. Recorded fragment and file identities match. This is not semantic-canon approval, a native-book rebuild or a new English edition.

Other-language material / source / backend
Bahasa Indonesia — Open learning materialreader · Bahasa IndonesiaBahasa Indonesia — Downloadedition · Bahasa IndonesiaBahasa Indonesia — Open learning materialreader · Bahasa IndonesiaD20 · Cari istilah, sumber dan koreksitool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

D20 · Analisis Fungsionaltool · Bahasa Indonesia

Capability in another language. Open the linked tool for its source-specific scope, evidence, and limitations.

Bahasa Indonesia — Complete solutions and spectral bridge — HTMLHTML · Bahasa Indonesia

52 source-exercise solutions, 10 reader-work solutions, and a 13-unit spectral/SVD bridge. Material is in Indonesian.

Bahasa Indonesia — Offline textbook and companion HTML — ZIPHTML ZIP · Bahasa Indonesia · Offline after download

This existing package also contains source/backend files. Extract the whole ZIP; inside the book folder, open output/html/index.html or output/html-companion/index.html. Keep the folders. External citations still require internet.

DOI archive — Bahasa Indonesiaarchive · Bahasa IndonesiaSource & repository — Bahasa Indonesiarepository · Bahasa IndonesiaShared modular indexbackend · shared metadata

Open Courses: preparation and further study

D30Probability & statistics

Measure-Theoretic Probability and Stochastic Processes

Advanced probability, conditional expectation, Markov processes, and continuous-time models.

About this course

Learning outcome

Analyze stochastic models using measure-theoretic tools and explicit assumptions.

Open Courses: preparation and further study

D40Analysis

Partial Differential Equations

First- and second-order equations, classical methods, boundary problems, and numerical laboratories.

About this course

Learning outcome

Connect differential equations, boundary data, analytical methods, and computation.

Open Courses: preparation and further study

D50Geometry & topology

Smooth Manifolds and Differential Geometry

Smooth manifolds, tangent constructions, differential geometry, and bridging material.

Prerequisites

C90 — Point-Set TopologyB60 — Vector CalculusC30 — Abstract Algebra I

Continue to

No direct successor in this map.

About this course

Learning outcome

Reason geometrically with local coordinates and coordinate-independent structures.

Open Courses: preparation and further study

D60Geometry & topology

Algebraic Topology

Homotopy, fundamental groups, covering spaces, homology, and algebraic invariants.

About this course

Learning outcome

Use algebraic constructions to study topological spaces and maps.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Roberts: Algebraic TopologyPDF · EnglishFomberg: Algebraic TopologyPDF · English
D60 · Native terms, sources, corrections and rightstool · English

528 terms, 2,174 source/target segments, 564 corrections and 96 native rights records, with unit lookup and an offline metadata archive. English interface; native quotations keep their original language and book links open the Indonesian edition. Parent-unit discovery is not sentence-level applicability. Original records are not independent canon approval. 73 target-file identities differ; this does not prove damage to each paragraph. Metadata replay is not a full native-book rebuild.

Other-language material / source / backend

Open Courses: preparation and further study

D70Algebra

Graduate Algebra

Advanced algebraic structures, representation theory, and commutative algebra.

About this course

Learning outcome

Work with structural algebraic methods and connect multiple algebraic perspectives.

Open Courses: preparation and further study

D80Algebra

Category Theory and Homological Methods

Categories, functors, natural transformations, and homological constructions.

About this course

Learning outcome

Organize mathematical structures and arguments with categorical and homological tools.

Program-hosted reader

Methods of Algebra, Volume 2 — complete corrected English HTML readerHTML · EnglishMethods of Algebra, Volume 2 — English PDF and mastery bridges — 820 pagesPDF · English · Offline after download

Authoritative original source

Wen-Wei Li — 代数学方法:卷二HTML · Chinese
D80 · Terms, sources, corrections and diagramstool · English

6,347 segments, 511 terms, 73 corrections and 829 diagram descriptions, with exact unit lookup and an offline metadata archive. English interface; quoted records retain their original language and book links open the Indonesian edition. 88 provisional terms, two conflicting choices and eleven unmapped term locations remain explicit; no independent canon approval. 1,736 source locations are unit-level only. First introduction is not all occurrences. Diagram replacements preserve original descriptions. Metadata replay is not a full native-book rebuild.

Other-language material / source / backend

Open Courses: preparation and further study

D90Computing & optimization

Advanced Optimization and Convex Analysis

Convexity, duality, optimality conditions, and advanced optimization methods.

About this course

Learning outcome

Prove and apply optimization results while tracking their assumptions.

Program-hosted reader

No program-hosted reader is available yet for this interface language. The authoritative original and materials in other languages remain available.

Authoritative original source

Habring: Convex OptimizationPDF · English
Other-language material / source / backend

Open Courses: preparation and further study

D100Geometry & topology

Algebraic Geometry Bridge

Algebraic curves, bundles, sheaves, cohomology, and an introductory scheme-theoretic bridge.

About this course

Learning outcome

Connect algebraic and geometric viewpoints in preparation for further study.

Program-hosted reader

Program-hosted Algebraic Geometry Bridge — complete English HTML readerHTML · EnglishProgram-hosted Algebraic Curves — complete English HTML readerHTML · EnglishProgram-hosted Bundles, Sheaves and Cohomology — complete English HTML readerHTML · EnglishProgram-hosted From Varieties to Schemes — English HTML companionHTML · EnglishOriginal English-edition website — alternate complete HTML hostHTML · EnglishAlgebraic Curves — complete English course — 504 pagesPDF · English · Offline after downloadBundles, Sheaves and Cohomology — complete English course — 381 pagesPDF · English · Offline after downloadFrom Varieties to Schemes — editorial companion — 89 pagesPDF · English · Offline after download

Authoritative original source

Holger Brenner — Algebraische Kurven (Osnabrück 2025–2026)HTML · GermanHolger Brenner — Algebraische Kurven (Osnabrück 2012)HTML · GermanHolger Brenner — Bündel, Garben und Kohomologie (2019–2020)HTML · German
D100 · Algebraic Geometry capability (English)tool · English

English en-v1.0.0 capability view: 60 source-course aggregates, 32 separate companion units, 1,201 exercises, exact solution provenance, and a 57-item concentrated mastery route. This learner and educator capability is in English; it does not replace or rewrite the central Indonesian course truth. The adapter is a zero-copy navigation and evidence layer; it does not contain the mathematical bodies, TeX, PDFs, or native archives. The 44 new mastery solutions are editorial material; 13 mastery items instead reference existing public source solutions. Exactly 1,041 source exercises have an explicit no-public-source-solution state. Rights remain component-specific; no umbrella licence is claimed. Native MathML, tagged PDF, WCAG conformance, assistive-technology testing, human review, executable labs, strict source-profile reversibility, and Zenodo public-byte readback are not claimed by this adapter. The Stacks Project is a downstream reference, not translated source material.

Other-language material / source / backend

Open Courses: preparation and further study

D110Research practice

Formalized Mathematics in Lean

Interactive theorem proving, mathematical libraries, tactics, and checked mathematical development.

About this course

Learning outcome

Build and explain machine-checked mathematical proofs.

Program-hosted reader

Program-hosted original English HTML readerHTML · English

Authoritative original source

Authoritative original — Mathematics in LeanHTML · English
D110 · English study selection and source supporttool · English

2,177 native units, 243 exercise-marked units and 43 reading sections; source identities and recorded support are preserved. Indonesian and English interfaces, reading contexts and original code snippets are available. This is not an everyday-English rewrite. The English reader uses a different revision. Chapter/section links give reading context, not proof of equivalence for each code declaration. 243 units carry the native exercise flag; some are teaching examples. Six have no recorded solution relation. Solutions may fill one proof hole or give an alternative. Solution counts are not counts of completed exercises. An exercise snippet may be a shared block for several IDs. Source line numbers are not translated-file line numbers. Plans contain selections, provenance and links, not a complete offline book. No Lean code is executed.

Other-language material / source / backend

Open Courses: preparation and further study

D120Research practice

Research Reading and Reproducible Mathematical Work

Research reading, mathematical exposition, evidence, reproducibility, and traceable workflows.

About this course

Learning outcome

Produce clear mathematical work with inspectable reasoning and reproducible supporting artifacts.

Program-hosted reader

Traceable Mathematical Work — complete English editionHTML · English

Authoritative original source

Kerja Matematis yang Dapat DitelusuriHTML · Bahasa Indonesia
D120 · Traceable Mathematical Work in Englishtool · English

Nine units, 54 exercise–guidance pairs, and 71 learning outcomes localized against the native D120 semantic IDs. This English view is an additive localization of the same D120 semantic objects; it does not create a second course identity. The adapter projects identities, metadata, relations, and evidence while course bodies remain in the public native edition. All 54 supporting records are source guidance, not complete solutions. HTML fragments are access locators and are not promoted to semantic identities. No learner attempt, submission, result, external participation, or credential is claimed.

D120 · English educator maptool · English

Fourteen assessments, 14 rubrics, 79 criteria, and explicit non-claim boundaries in English over the same D120 IDs. This English view is an additive localization of the same D120 semantic objects; it does not create a second course identity. The adapter projects identities, metadata, relations, and evidence while course bodies remain in the public native edition. All 54 supporting records are source guidance, not complete solutions. HTML fragments are access locators and are not promoted to semantic identities. No learner attempt, submission, result, external participation, or credential is claimed.

Other-language material / source / backend

Open Courses: preparation and further study

About this map

One curriculum, several languages. Course identities, prerequisites, and provenance share one backend; the interface selects the appropriate text and learning materials.

For every language, the program policy is to provide a program-hosted readable copy and a prominent original-source link. Sources remain labeled in their actual languages; local mirror coverage is not yet complete. Book-source links do not include program-original companions, and catalog snapshots do not measure current translation progress.

English resource-binding exceptions

These are missing link bindings, not a claim that Indonesian translation is unfinished. English upstream spines do not include the program’s original Indonesian supplements.

  • C60 — English spine is linked. The program-original mastery/solution companion is available in Indonesian; an English companion link was not located.
  • C90 — English spine is linked. The program-original companion is available in Indonesian; an English companion link was not located.
  • C100 — English spines are linked. Program-original solutions, connective units, checks, and capstones have no located English binding.
  • C120 — English spine is linked. Program-original computational/mastery bridges have no located English binding. The official English host returned 403 to the headless check on 2026-09-03.
  • C130 — English spine is linked. The program-original Pyomo/HiGHS laboratory has no located English binding.
  • C140 — English donors are linked. The complete Indonesian C5 companion has no located English binding.
  • D20 — English spine is linked. Program-original solutions and the spectral/SVD bridge have no located English binding.
  • D30 — English donors are linked. Program-original bridges, assessments, and labs have no located English binding.
  • D40 — English donors are linked. Program-original problem, assessment, and laboratory closure has no located English binding.
  • D60 — English donors are linked. Program-original mastery, assessment, solution, lab, and capstone layers have no located English binding.
  • D90 — English spine is linked. Program-original completion and assessment layers have no located English binding.

Cross-programme link integration produced by OpenAI Codex — GPT-6.1 Sol, Ultra effort; no human review is claimed.