Home / Core courses

Free study packs for the courses everyone takes

Beyond the gateway courses, StudyGrasp covers the common first- and second-year courses across math, science, social science, humanities, business and communication. Each has cited answers, flashcards, quizzes and a study plan.

Core courses by area of study (73 courses)

Browse by area. Areas we have not built yet are marked Coming soon at the end of the page.

Mathematics (12)

Mathematics

Calculus III (Multivariable)

Vector calculus and 3D visualization make multivariable topics a common stumbling block.

Mathematics · from OpenStax

Start studying free
Mathematics

Elementary Algebra

Developmental math with high DFW rates, usually from gaps in arithmetic foundations.

Mathematics · from OpenStax

Start studying free
Mathematics

Prealgebra

Foundational arithmetic and fractions, where math anxiety drives failure and withdrawal.

Mathematics · from OpenStax

Start studying free
Mathematics

Contemporary Mathematics (Quantitative Reasoning)

Required general-education math for non-STEM students, who often struggle with logic and finance topics.

Mathematics · from OpenStax

Start studying free
Mathematics

Algebra and Trigonometry

Combined algebra and trigonometry course that gates calculus for many STEM majors.

Mathematics · from OpenStax

Start studying free
Mathematics

Linear Algebra

Abstract vector-space reasoning is many students' first proof-flavored math course.

Mathematics · from LibreTexts

Start studying free
Mathematics

Differential Equations

Many solution techniques to choose among; high DFW in engineering math.

Mathematics · from LibreTexts

Start studying free
Mathematics

Math in Society

Required general-education math for non-STEM students with math anxiety.

Mathematics · from LibreTexts

Start studying free
Mathematics

Business Calculus

Derivatives and integrals for business and social science majors: a common gateway math course with high withdrawal.

Mathematics · from LibreTexts

Start studying free
Mathematics

Business Math

Percentages, interest, payroll and financial calculations that business majors need.

Mathematics · from LibreTexts

Start studying free
Mathematics

Finite Mathematics

Linear models, matrices, probability and financial math for business and life-science students.

Mathematics · from LibreTexts

Start studying free
Mathematics

College Geometry

Proof-based geometry required for education and some STEM majors.

Mathematics · from LibreTexts

Start studying free

Statistics (1)

Statistics

Business Statistics

Required for business majors; probability and inference concepts trip up many students.

Statistics · from OpenStax

Start studying free

Physics (3)

Physics

College Physics II (algebra-based)

Electricity, magnetism, optics and modern physics: a common second barrier for health majors.

Physics · from OpenStax

Start studying free
Physics

Modern Physics (Optics and Quantum)

Abstract quantum and wave concepts defy intuition and carry high failure rates.

Physics · from OpenStax

Start studying free
Physics

Conceptual Physics

A first physics course for non-majors that still requires careful reasoning.

Physics · from LibreTexts

Start studying free

Astronomy (1)

Astronomy

Introductory Astronomy

Common general-education science with quantitative reasoning that surprises non-STEM students.

Astronomy · from OpenStax

Start studying free

Chemistry (5)

Chemistry

General Chemistry II

Equilibrium, kinetics, thermodynamics and electrochemistry make this a well-known weed-out course.

Chemistry · from OpenStax

Start studying free
Chemistry

Organic Chemistry II

Reaction mechanisms and synthesis need heavy memorization plus reasoning.

Chemistry · from OpenStax

Start studying free
Chemistry

Introductory Chemistry

A first chemistry course for health and general-education students, where math and vocabulary combine.

Chemistry · from LibreTexts

Start studying free
Chemistry

General, Organic and Biological Chemistry

The one-semester chemistry course for nursing and allied health, with high pressure to pass.

Chemistry · from LibreTexts

Start studying free
Chemistry

Biochemistry

Pathways, structure and enzyme kinetics make this a high-fail course.

Chemistry · from LibreTexts

Start studying free

Earth and environmental science (3)

Geology

Physical Geology

Large vocabulary of minerals, rocks and processes with spatial reasoning.

Geology · from LibreTexts

Start studying free
Environmental science

Environmental Science

A general-education science course mixing ecology, chemistry and data interpretation.

Environmental science · from LibreTexts

Start studying free
Environmental science

Environmental Biology

Ecosystems, biodiversity and human impact for non-majors.

Environmental science · from LibreTexts

Start studying free

Engineering (3)

Engineering

Engineering Statics

Free-body diagrams and vector equilibrium cause very high DFW in sophomore engineering.

Engineering · from Pressbooks

Start studying free
Engineering

Engineering Dynamics

Multi-step vector kinematics and kinetics problems drive high failure in engineering.

Engineering · from LibreTexts

Start studying free
Engineering

Engineering Thermodynamics

Property tables, cycles and sign conventions make thermodynamics a bottleneck course.

Engineering · from LibreTexts

Start studying free

Biology (5)

Biology

General Biology II (diversity, plants, animals, ecology)

A very wide survey of organisms and systems with heavy vocabulary.

Biology · from OpenStax

Start studying free
Biology

Biology for Non-Majors

General-education life science with lots of new vocabulary.

Biology · from OpenStax

Start studying free
Biology

Genetics

Problem-solving with inheritance patterns and probability trips up many students.

Biology · from Pressbooks

Start studying free
Biology

Cell and Molecular Biology

Dense molecular mechanisms and pathways need heavy conceptual integration.

Biology · from Pressbooks

Start studying free
Biology

Introduction to Ecology

Population models and interacting concepts challenge non-majors.

Biology · from LibreTexts

Start studying free

Health sciences (3)

Health

Anatomy and Physiology II

Cardiovascular, respiratory, digestive, urinary and reproductive systems: a gate to nursing and allied health.

Health · from OpenStax

Start studying free
Health

Human Nutrition

Biochemistry-flavored content in a required allied-health course.

Health · from Pressbooks

Start studying free
Health

Introduction to Health

A broad general-education health course with a wide content spread.

Health · from LibreTexts

Start studying free

Psychology (8)

Psychology

Lifespan Development

Required for health majors; a large content load and theory recall.

Psychology · from OpenStax

Start studying free
Psychology

Behavioral Neuroscience

Dense neuroanatomy and physiology vocabulary.

Psychology · from OpenStax

Start studying free
Psychology

Research Methods in Psychology

Combines statistics, design logic and writing; a known bottleneck for psychology majors.

Psychology · from LibreTexts

Start studying free
Psychology

Abnormal Psychology

A large diagnostic vocabulary and criteria to memorize and apply.

Psychology · from LibreTexts

Start studying free
Psychology

Social Psychology

Many named studies and effects to recall and tell apart.

Psychology · from LibreTexts

Start studying free
Psychology

Developmental Psychology

Large theory and stage content required across health and education majors.

Psychology · from LibreTexts

Start studying free
Psychology

Cognitive Psychology

Memory, attention and reasoning, taught with many experiments to recall.

Psychology · from LibreTexts

Start studying free
Psychology

Biological Psychology

Brain and body bases of behavior, with dense neuroanatomy vocabulary.

Psychology · from LibreTexts

Start studying free

Sociology (1)

Sociology

Introduction to Sociology

A very common general-education course with theory-heavy vocabulary.

Sociology · from OpenStax

Start studying free

Anthropology (1)

Anthropology

Introduction to Anthropology

Four-field breadth and technical vocabulary in a common general-education course.

Anthropology · from OpenStax

Start studying free

Political science (4)

Political science

American Government

Required in most US degrees; a large content load and heavy reading.

Political science · from OpenStax

Start studying free
Political science

Introduction to Political Science

Comparative and theoretical concepts with a heavy reading load.

Political science · from OpenStax

Start studying free
Political science

Comparative Government and Politics

Comparing political systems across countries, with heavy reading and concepts.

Political science · from LibreTexts

Start studying free
Political science

International Relations

Theories of war, trade and cooperation.

Political science · from LibreTexts

Start studying free

Geography (1)

Geography

World Regional Geography

Heavy place and map memorization across the globe.

Geography · from LibreTexts

Start studying free

Criminal justice (1)

Criminal justice

Introduction to Criminal Justice

A large survey of system components, law and terminology with heavy reading.

Criminal justice · from LibreTexts

Start studying free

Education (1)

Education

Educational Psychology

Learning theories and classroom application, required for teaching majors.

Education · from LibreTexts

Start studying free

Business (9)

Business

Introduction to Business

A broad survey required for all business majors.

Business · from OpenStax

Start studying free
Business

Principles of Management

A core business course with many frameworks and case-based exams.

Business · from OpenStax

Start studying free
Business

Principles of Marketing

A core business course with many concepts and applied analysis.

Business · from OpenStax

Start studying free
Business

Business Law

Case-based legal reasoning and terminology are hard for non-law students.

Business · from OpenStax

Start studying free
Business

Business Ethics

Applying ethical frameworks to ambiguous cases is a skill many students struggle with.

Business · from OpenStax

Start studying free
Business

Organizational Behavior

A theory-heavy core business course with many models to memorize.

Business · from OpenStax

Start studying free
Business

Entrepreneurship

Applied planning and finance concepts across a broad syllabus.

Business · from OpenStax

Start studying free
Business

Human Resource Management

Law, compensation and process content with many applied cases.

Business · from LibreTexts

Start studying free
Business

Operations Management

Quantitative methods (forecasting, queuing, inventory) cause difficulty for business majors.

Business · from LibreTexts

Start studying free

History (4)

History

US History I (to 1877)

Required survey with dense reading and event recall; high enrollment and attrition.

History · from OpenStax

Start studying free
History

US History II (since 1865)

Required survey with dense reading and event recall; high enrollment and attrition.

History · from OpenStax

Start studying free
History

World History I (to 1500)

Wide global scope and heavy reading challenge students.

History · from OpenStax

Start studying free
History

World History II (from 1400)

Wide global scope and heavy reading challenge students.

History · from OpenStax

Start studying free

Philosophy and religion (2)

Philosophy

Introduction to Philosophy

Abstract argument analysis is unfamiliar to most first-year students.

Philosophy · from OpenStax

Start studying free
Religious studies

Introduction to World Religions

A wide survey with unfamiliar names, texts and practices.

Religious studies · from LibreTexts

Start studying free

English and writing (1)

English

English Composition

A required first-year writing course with high repeat rates.

English · from OpenStax

Start studying free

Communication (2)

Communication

Public Speaking

Speech anxiety drives withdrawal and incompletes in this near-universal general-education course.

Communication · from LibreTexts

Start studying free
Communication

Introduction to Communication

A common general-education course combining theory and presentation work.

Communication · from LibreTexts

Start studying free

Music (1)

Music

Music Appreciation

A general-education course that requires listening identification and terminology recall.

Music · from LibreTexts

Start studying free

Student success (1)

Student success

College Success

Used with at-risk first-year students to reduce withdrawal and failure.

Student success · from OpenStax

Start studying free

Coming soon (23 more areas of study)

We are adding these next. Tell us what you need under My content in the meantime.

Health and life sciences

  • NursingComing soon
  • Pharmacy and pharmacologyComing soon
  • Allied health and medical technologyComing soon
  • Kinesiology and sport scienceComing soon
  • Veterinary and animal scienceComing soon

Social sciences

  • Social work and human servicesComing soon
  • LinguisticsComing soon
  • Ethnic and gender studiesComing soon

Business

  • Supply chain and logisticsComing soon
  • Real estateComing soon
  • Hospitality and tourismComing soon

Humanities

  • LiteratureComing soon
  • World languagesComing soon
  • Journalism and mediaComing soon

Arts and design

  • Visual arts and art historyComing soon
  • Theater and filmComing soon
  • Design and architectureComing soon

Professional and applied

  • Law and legal studiesComing soon
  • Agriculture and natural resourcesComing soon
  • Culinary arts and food scienceComing soon
  • Aviation and transportationComing soon
  • Skilled trades and technologyComing soon
  • Library and information scienceComing soon

How these study packs are made

From open textbooks

Each pack is built from a free, openly licensed textbook (LibreTexts, OpenStax, Pressbooks). The text is split into chapters and passages, so every answer in the tutor chat cites the passage it came from.

Flashcards and quizzes

Key terms, definitions and worked examples become flashcards. Definition questions become quizzes and practice tests. No AI model writes them, so nothing is invented.

Honest about quality

The study aids are generated automatically and marked Draft until a person reviews them. They can contain mistakes, so check anything important against your own textbook and instructor.

Licence and credit

Every pack names the book and its authors, shows the licence (Creative Commons), links to the original and says it was adapted. StudyGrasp stays free.

Gateway courses · Core courses · Finance · Computer science · IT · AI and data science

Different class?

Add your own notes, slides or links under My content and get a private study set with cited answers, flashcards and quizzes. See how My content works.

StudyGrasp is not affiliated with the textbook publishers named here. OpenStax is a trademark of Rice University.