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College courses by field
Mathematics
College Algebra
- Algebraic expressions
- Equations and inequalities
- Functions and graphs
- Polynomial and rational functions
- Exponential and logarithmic functions
- Systems of equations
- Sequences and series
College Precalculus
- Functions
- Polynomial and rational functions
- Exponential and logarithmic functions
- Trigonometric functions
- Inverse functions, identities and equations
- Laws of sines and cosines
- Polar coordinates and complex numbers
- Vectors
- Matrices and systems
- Conic sections
- Parametric equations
- Sequences and series
- Introduction to limits
Calculus I
- Limits and continuity
- The derivative and its rules
- The chain rule and implicit differentiation
- Rates of change and linear approximation
- Maximum and minimum values, and curve sketching
- Integrals and the Fundamental Theorem of Calculus
- The substitution rule
- Net change and average value
Calculus II
- Areas and volumes
- Techniques of integration
- Further applications of integration
- Differential equations
- Parametric equations and polar coordinates
- Hyperbolic functions and complex exponentials
- Sequences and series
Calculus III (Multivariable)
- Vectors and the geometry of space
- Vector functions
- Partial derivatives
- Multiple integrals
- Vector calculus
Linear Algebra
- Linear systems and row reduction
- Span and solution sets
- Independence and linear transformations
- Matrix algebra
- Determinants
- Subspaces, bases and dimension
- Eigenvalues and eigenvectors
- Complex eigenvalues and dynamics
- Orthogonality and least squares
- Symmetric matrices
- Orthogonal matrices and quadratic forms
Vector Calculus
- Derivatives as matrices
- Extrema and Lagrange multipliers
- Coordinates and change of variables
- Vector fields and line integrals
- Green's theorem, curl and divergence
- Surfaces and surface integrals
- The theorems of Stokes and Gauss
- Vector calculus at work
Differential Equations
- First-order equations
- Exact equations and qualitative theory
- Hyperbolic functions and complex exponentials
- Second-order linear equations
- Forced equations
- Linear systems and phase portraits
- Series solutions
- Laplace transforms
Discrete Mathematics
- Logic
- Methods of proof
- Induction and recursion
- Sets, functions and relations
- Counting
- Number theory
- Recurrence relations
- Graphs and trees
Introduction to Proofs
- Logic and quantifiers
- Writing proofs
- Proof by contradiction
- Induction
- Sets
- Functions
- Equivalence relations
- Cardinality
- Limits with epsilon and delta
Real Analysis
- The real numbers
- Sequences
- Series
- Topology of the real line
- Limits and continuity
- Differentiation
- The Riemann integral
- Sequences and series of functions
Abstract Algebra
- Groups
- Subgroups and cyclic groups
- Permutation groups
- Cosets and Lagrange's theorem
- Homomorphisms and quotient groups
- Direct products and group actions
- Rings
- Polynomial rings and factorization
- Fields
Numerical Analysis
- Floating point and error
- Solving nonlinear equations
- Interpolation
- Numerical differentiation and integration
- Solving linear systems
- Least squares computation
- Computing eigenvalues
- Solving differential equations numerically
Statistics and data science
Introductory Statistics
- Collecting data
- Describing data
- Probability
- Random variables and distributions
- Sampling distributions
- Inference for proportions
- Inference for means
- Chi-square tests
- Correlation and regression
Probability
- Sample spaces and the axioms
- Counting methods
- Conditional probability and Bayes' rule
- Independence
- Discrete random variables
- Expectation and variance
- Continuous random variables
- Joint distributions
- Covariance and correlation
- Limit theorems
- Moment generating functions
- Random vectors and the multivariate normal
- Random walks, Poisson processes and Markov chains
Statistical Inference
- Statistics and sampling distributions
- Point estimation
- Method of moments
- Maximum likelihood
- Confidence intervals
- Hypothesis testing
- Power and optimal tests
- Likelihood ratio tests
- t, chi-square and F tests
- Nonparametric methods and the bootstrap
- Bayesian inference
Regression Analysis
- Simple linear regression
- Inference in simple regression
- Residual diagnostics
- Multiple regression in matrix form
- Interpreting multiple regression
- Categorical predictors and interactions
- Model selection
- Multicollinearity
- Transformations and nonlinearity
- Logistic regression
- Regularization
Introduction to Data Science
- Data tables and tidy data
- Exploratory analysis and visualization
- Summary statistics
- Data cleaning
- Sampling and bias
- Simulation and the bootstrap
- Hypothesis testing by permutation
- Correlation and prediction
- Linear regression
- Classification
- Train/test split and overfitting
- Ethics and privacy
Linear Algebra for Data Science
- Vectors, dot products and norms
- Matrices as transformations
- Matrix multiplication
- Linear systems and elimination
- Rank and inverses
- Vector spaces and subspaces
- Bases and dimension
- Orthogonality and projections
- Least squares
- Eigenvalues and diagonalization
- Singular value decomposition
- Principal component analysis
Mathematical Statistics
- Sampling distributions
- Point estimation
- Sufficiency and efficiency
- Confidence intervals
- Hypothesis testing
- Linear models
- Analysis of variance
- Goodness of fit and contingency tables
- Nonparametric methods and the bootstrap
Applied Statistics
- Describing data
- Probability models for data
- Sampling distributions
- Confidence intervals
- Hypothesis tests
- Categorical data
- Comparing several groups
- Regression and curve fitting
- Resampling methods
Economics
Principles of Microeconomics
- Scarcity, choice and the gains from trade
- Supply and demand
- Elasticity
- Market efficiency and government policy
- Consumer choice
- Production and costs
- Perfect competition
- Monopoly
- Oligopoly and monopolistic competition
- Markets for factors of production
- Externalities and public goods
- Inequality and poverty
Principles of Macroeconomics
- Measuring national income
- Measuring the cost of living
- Unemployment
- Production and long-run growth
- Saving, investment and the financial system
- Money and banking
- Aggregate demand and aggregate supply
- Monetary and fiscal policy
- Inflation and unemployment tradeoff
- The open economy
Intermediate Microeconomics
- Preferences and utility
- Budget constraints and optimal choice
- Demand and the Slutsky equation
- Labor supply and intertemporal choice
- Choice under uncertainty
- Technology, production and cost
- Competitive markets
- General equilibrium and welfare
- Monopoly and pricing
- Game theory and oligopoly
- Asymmetric information and externalities
Intermediate Macroeconomics
- National accounts and macro data
- The Solow growth model
- Endogenous growth
- Labor markets and unemployment
- Short-run fluctuations: IS-LM
- The open economy in the short run
- Aggregate supply and expectations
- Consumption theory
- Investment and intertemporal models
- Monetary policy
- Fiscal policy and government debt
Introduction to Econometrics
- The simple regression model
- Multiple regression
- Inference with OLS
- Functional form and dummy variables
- Heteroskedasticity and specification
- Instrumental variables
- Panel data methods
- Policy evaluation designs
- Time series regression
- Limited dependent variable models
Game Theory
- Games and payoffs
- Nash equilibrium
- Mixed strategies
- Dynamic games and subgame perfection
- Repeated games
- Incomplete information and Bayesian games
- Signaling and screening
- Bargaining and applications
International Economics
- Classical and factor-based trade theory
- Increasing returns and the gravity model
- Tariffs, quotas and subsidies
- Trade agreements and blocs
- Open-economy accounting
- Exchange rate determination
- Macroeconomic policy under exchange rate regimes
- Currency crises, capital flows and sovereign debt
Public Economics
- Efficiency and the role of government
- Externalities
- Public goods
- Tax incidence and efficiency
- The income tax and behavior
- Education and health policy
- Redistribution and the safety net
- Social insurance and the budget
Labor Economics
- Labor supply
- Labor demand
- Human capital
- Wage structure and inequality
- Discrimination
- Personnel economics and compensation
- Unions and immigration
- Unemployment and labor mobility
Development Economics
- Measuring development and poverty
- Neoclassical growth
- Endogenous growth and technology
- Structural change and the dual economy
- Health, education and population
- Credit, risk and institutions
- Policy, aid and evidence
- Trade, resources and the environment
Finance
Corporate Finance
- Foundations of corporate finance
- Annuities, perpetuities and interest rates
- Capital budgeting
- Interest rates and bond valuation
- Stock valuation
- Risk and return
- Beta, CAPM and market efficiency
- Cost of capital
- Capital structure
- Dividends and payout policy
- Short-term finance and working capital
Investments
- The investment environment
- Risk and return
- Portfolio theory
- Asset pricing models
- Market efficiency and behavioral finance
- Bond prices and yields
- Equity valuation
- Options
- Futures, forwards and swaps
- Portfolio performance evaluation
Personal Finance
- Financial planning foundations
- Budgeting and saving
- Banking and payment services
- Taxes
- Credit and debt
- Housing and major purchases
- Insurance and risk management
- Investing basics
- Retirement planning
- Estate planning and financial protection
Financial Markets and Institutions
- An overview of the financial system
- Money and interest rates
- The risk and term structure of interest rates
- Central banks and monetary policy
- Banking and the management of financial institutions
- Financial regulation
- Money and bond markets
- Stock and foreign exchange markets
- Derivatives markets
- Financial crises
Business
Introduction to Business
- The business environment
- Ethics and social responsibility
- Business in a global economy
- Forms of business ownership
- Entrepreneurship and small business
- Management and operations
- Human resources and motivation
- Marketing fundamentals
- Accounting and finance basics
Principles of Management
- Managers and management
- The evolution of management thought
- Environment, culture and global management
- Planning and strategic management
- Managerial decision making
- Organizational structure and design
- Motivation
- Leadership
- Teams, communication and conflict
- Control and organizational change
Principles of Marketing
- Marketing and customer value
- Strategic planning and the marketing environment
- Marketing research and analytics
- Consumer and business buyer behavior
- Segmentation, targeting and positioning
- Products, services and brands
- Pricing
- Marketing channels and supply chains
- Integrated marketing communications
- Digital, global and sustainable marketing
- Customer analytics
Financial Accounting
- The accounting equation and statements
- The recording process
- Accrual accounting and the accounting cycle
- Merchandising and inventory
- Cash and receivables
- Property, plant and equipment and intangibles
- Liabilities
- Stockholders' equity
- The statement of cash flows
- Financial statement analysis
Managerial Accounting
- Managerial accounting and cost concepts
- Cost behavior
- Cost-volume-profit analysis
- Job-order costing
- Process costing
- Activity-based and variable costing
- Budgeting
- Standard costs and variances
- Relevant costs for decisions
- Capital budgeting decisions
- Decentralization and performance measurement
Business Analytics
- Descriptive analytics and visualization
- Probability and decision trees
- Sampling and A/B tests
- Regression and forecasting
- Linear programming
- Simulation and Monte Carlo
- Revenue management and inventory
- Intro to predictive classification
Operations and Supply Chain Management
- Process analysis
- Queues and variability
- Quality and Six Sigma
- Inventory management
- Lean and just in time
- Supply chain management
- Project management
- Forecasting and planning
Entrepreneurship and New Ventures
- Opportunity and the entrepreneurial mindset
- Customer discovery and validation
- Business models and go to market
- Market sizing and unit economics
- Financial projections
- Intellectual property and legal structure
- Financing and valuation
- Growth, exits and pitching
Business Law and Ethics
- The legal system and courts
- Torts and product liability
- Contract formation
- Defenses, breach and remedies
- Sales, agency and employment
- Business organizations and credit
- Bankruptcy, securities and IP
- Ethics and corporate responsibility
Real estate
Real Estate Principles
- Property types and markets
- Property rights and ownership
- Leases and rents
- Valuation and appraisal
- Mortgage basics
- Investment metrics
- The development process
- Market cycles and risk
Real Estate Finance and Investment
- Time value of money
- Mortgage loans, ARMs and APR
- Underwriting and credit
- NOI and the pro forma
- DCF, NPV and IRR
- Leverage, taxes and depreciation
- REITs and mortgage securities
- Joint ventures and equity waterfalls
Real Estate Development
- The development process
- Market analysis
- Site selection and analysis
- Entitlement and approvals
- The development budget and land value
- Construction financing and draws
- The development pro forma
- Leasing, exit and risk
Urban Economics and Land Use
- Why cities exist
- Bid-rent and the monocentric city
- Suburbanization and polycentric cities
- Housing markets and supply
- Zoning and land use regulation
- Transportation and congestion
- Local public finance and sorting
- Planning and growth management
Real Estate Law
- Property rights and estates
- Concurrent ownership and common interests
- Contracts and agency
- Deeds, title and recording
- Mortgages and foreclosure
- Landlord and tenant law
- Land use, zoning and takings
- Environmental, fair housing and closing
Political science
Introduction to American Government
- Foundations of American democracy
- Interactions among branches of government
- Civil liberties and civil rights
- American political ideologies and beliefs
- Political participation
Comparative Politics
- The comparative method
- The state and state formation
- Nations and nationalism
- Political economy and development
- Democracy and its measurement
- Democratization and backsliding
- Authoritarian regimes
- Presidential and parliamentary systems
- Electoral systems
- Parties and party systems
- Federalism and constitutional design
- Contention and political violence
International Relations
- Studying international relations
- Realism
- Liberalism and institutions
- Constructivism and critical approaches
- The international system to 1945
- The Cold War and after
- War and bargaining
- Deterrence and nuclear weapons
- Terrorism and counterterrorism
- International organizations, law and human rights
- Trade and finance
- Development, globalization and the global commons
Political Theory
- Plato and Aristotle
- Machiavelli
- Hobbes
- Locke
- Rousseau
- Utilitarianism and Mill on liberty
- Marx and Marxism
- Rawls and justice
- Nozick and communitarianism
- Democratic theory
- Feminist political theory
- Power and legitimacy
- Ethics and society
Research Methods in Political Science
- The scientific study of politics
- Concepts and measurement
- Research design
- Experiments
- Surveys and sampling
- Case studies and process tracing
- Descriptive statistics
- Statistical inference
- Correlation and regression
- Causal inference
- Research ethics and transparency
The US Congress
- Elections and incumbency
- Representation
- Committees
- Parties and leadership
- Floor procedure and the filibuster
- How a bill becomes law
- Congress, the president and the bureaucracy
- Lobbying and interest groups
The American Presidency
- Constitutional design of the presidency
- Nomination and elections
- Theories of presidential power
- The president and Congress
- The bureaucracy and the executive office
- Foreign policy and war powers
- The president and the public
- Historical development of the presidency
Constitutional Law and the Supreme Court
- Judicial review
- Federalism and the commerce power
- Separation of powers
- Equal protection and race
- Free speech
- Religion and the Constitution
- Privacy, due process and the rights of the accused
- Judicial politics
Public Opinion, Voting and Elections
- How opinions form
- Polling and sampling
- Partisanship and polarization
- Turnout
- Vote choice and the spatial model
- Campaigns and money
- Redistricting and election law
- Party realignments
Political Economy
- Collective action and public goods
- States and markets
- Varieties of capitalism and welfare states
- Institutions and development
- Corruption, oil and aid
- The politics of trade
- Money and finance
- Globalization and backlash
Politics of China
- Late Qing and revolution
- Nationalists, communists and war
- Building the People's Republic
- The Cultural Revolution and Mao's end
- Reform since 1978
- Party-state institutions
- Economy, society and protest
- Nationalism, foreign policy and the periphery
Latin American Politics
- Colonial legacies and independence
- Import substitution and populism
- Coups and bureaucratic authoritarianism
- Revolution
- Transitions to democracy
- Mexico: the PRI and its fall
- The left turn and inequality
- Crime, drugs and the United States
European Politics and the European Union
- Political development of Western Europe
- Britain and the Westminster model
- France and semi-presidentialism
- Germany: federalism and the mixed system
- Nordic welfare states
- European integration history
- EU institutions
- The euro crisis, Brexit and populism
Psychology
Introduction to Psychology
- Biological bases of behavior
- Cognition
- Development and learning
- Social psychology and personality
- Mental and physical health
Natural sciences
General Biology
- Chemistry of life
- Cell structure and function
- Cellular energetics
- Cell communication and cell cycle
- Heredity
- Gene expression and regulation
- Natural selection
- Ecology
General Chemistry
- Atomic structure and properties
- Compound structure and properties
- Properties of substances and mixtures
- Chemical reactions
- Kinetics
- Thermochemistry
- Equilibrium
- Acids and bases
- Thermodynamics and electrochemistry
College Physics I
- Kinematics
- Force and translational dynamics
- Work, energy and power
- Linear momentum
- Torque and rotational dynamics
- Energy and momentum of rotating systems
- Oscillations
- Fluids
College Physics II
- Thermodynamics
- Electric force, field and potential
- Electric circuits
- Magnetism and electromagnetism
- Geometric optics
- Waves, sound and physical optics
- Modern physics
University Physics I: Mechanics
- Kinematics
- Force and translational dynamics
- Work, energy and power
- Linear momentum
- Torque and rotational dynamics
- Energy and momentum of rotating systems
- Oscillations
- Gravitation and orbits
University Physics II: Electricity and Magnetism
- Electric charges, fields, and Gauss's law
- Electric potential
- Conductors and capacitors
- Electric circuits
- Magnetic fields and electromagnetism
- Electromagnetic induction
- AC circuits and Maxwell's equations
University Physics III: Fluids, Waves, Thermodynamics and Optics
- Fluid statics and dynamics
- Damped and driven oscillations
- Mechanical waves
- Sound
- Temperature and heat
- Kinetic theory of gases
- The first law of thermodynamics
- Heat engines, entropy and the second law
- Electromagnetic waves
- Geometric optics
- Interference and diffraction
University Physics IV: Relativity and Quantum Physics
- Special relativity
- Light as photons
- Models of the atom
- Matter waves
- The Schrödinger equation
- Quantum physics of solids
- Nuclear physics
Classical Mechanics
- Motion in phase space
- Linear and coupled oscillations
- The calculus of variations
- Lagrangian mechanics
- Central forces and the two-body problem
- Rotating frames and rigid bodies
- Hamiltonian mechanics
Thermal and Statistical Physics
- Microstates and multiplicity
- Entropy, temperature and the second law
- Boltzmann statistics
- Free energy and phase equilibria
- Quantum statistics
Environmental Science
- The living world: ecosystems
- The living world: biodiversity
- Populations
- Earth systems and resources
- Land and water use
- Energy resources and consumption
- Atmospheric pollution
- Aquatic and terrestrial pollution
- Global change
History and geography
Modern World History
- The global tapestry, 1200 to 1450
- Networks of exchange, 1200 to 1450
- Land-based empires, 1450 to 1750
- Transoceanic interconnections, 1450 to 1750
- Revolutions: the Enlightenment, nationalism and the start of industrialization, 1750 to 1900
- Consequences of industrialization: imperialism, resistance and migration, 1750 to 1900
- Global conflict, 1900 to the present
- Cold War and decolonization, 1900 to the present
- Globalization, 1900 to the present
United States History
- Period 1: 1491 to 1607 (Native societies, contact and Spanish colonization)
- Period 2: 1607 to 1754 (English, French and Dutch colonies, trade and slavery)
- Period 3: 1754 to 1800 (The Seven Years' War, the Revolution and the Constitution)
- Period 4: 1800 to 1848 (The early republic, the market revolution and Jacksonian democracy)
- Period 5: 1844 to 1877 (Manifest destiny, slavery, the Civil War and Reconstruction)
- Period 6: 1865 to 1898 (Industrialization, immigration, the West and the Gilded Age)
- Period 7: 1890 to 1945 (Progressivism, empire, the world wars, the 1920s and the New Deal)
- Period 8: 1945 to 1980 (The Cold War, civil rights and the Great Society)
- Period 9: 1980 to the present (Conservatism, globalization and the twenty-first century)
Introduction to Human Geography
- Thinking geographically
- Population and migration
- Cultural patterns and processes
- Political patterns and processes
- Agriculture and rural land use
- Cities and urban land use
- Industrial and economic development
East Asian History
- Early China and the classical tradition
- Tang, Song and the spread of Buddhism and Chinese institutions
- Mongols and Ming
- Tokugawa Japan and Joseon Korea
- Qing China and the Western challenge
- Meiji Japan
- Revolution in China, 1911 to 1949
- Japanese empire and war in the Pacific
- Postwar East Asia
Race and Ethnicity in the United States
- Slavery and the making of race
- Emancipation, Reconstruction and Jim Crow
- The Great Migration and the civil rights movement
- Asian American history
- European immigrants and whiteness
- Mexican American history
- Native nations and the United States
- Immigration law over time
Global Environmental History
- Humans in nature: foundations
- The Neolithic revolution
- The Columbian Exchange and the first global era, 1400 to 1750
- Plantations, silver and commodity frontiers
- Industrial revolutions and fossil fuels
- Empire, resources and landscapes
- The Great Acceleration since 1945
- Environmental movements and climate politics
Science, Technology and Medicine in History
- Ancient and medieval science
- The Scientific Revolution
- The industrial revolution's technologies
- Darwin and the life sciences
- Epidemics and sanitation
- Germ theory, vaccines and global health
- Twentieth-century big science
- The computer and the internet
Modern European History
- Enlightenment and the old regime
- French Revolution and Napoleon
- Industrialization
- 1848 and nationalism
- Imperialism
- World War I and the Russian Revolution
- Interwar crisis and fascism
- World War II and the Holocaust
- Europe since 1945
Latin American History
- Pre-Columbian societies
- Conquest, colonial society and economy
- Independence movements, 1808 to 1825
- State formation and caudillos
- Export economies
- The Mexican Revolution
- Populism and the twentieth century
- Cold War revolutions and dictatorships
- Brazil
History of the Middle East
- The rise of Islam and the caliphates
- Medieval dynasties, Crusades and Mongols
- The Ottoman, Safavid and Mughal empires
- Nineteenth-century reforms and European imperialism
- World War I and the mandates
- Nationalism and independence
- The Arab-Israeli conflict
- Oil and the Iranian revolution
- The region since 1990
US Foreign Relations
- Founding diplomacy
- Continental expansion, Monroe and Manifest Destiny
- 1898 and the overseas empire
- World War I and Wilson
- The interwar years and World War II
- Cold War containment
- Vietnam
- The end of the Cold War
- After 9/11
Writing and literature
College Composition
- The rhetorical situation: claims and evidence
- Audience, purpose and line of reasoning
- Evaluating evidence and writing arguments
- Thesis, introductions and conclusions
- Coherence, transitions and organization
- Sources, perspective and bias
- Complexity: qualifying claims and counterarguments
- Style: diction, syntax and tone
- Synthesis, rhetorical analysis and argument essays
Introduction to Literature
- Short fiction I
- Poetry I
- Longer fiction or drama I
- Short fiction II
- Poetry II
- Longer fiction or drama II
- Short fiction III
- Poetry III
- Longer fiction or drama III
Computer science
Introduction to Programming in Java
- Using objects and methods
- Selection and iteration
- Class creation
- Data collections