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Fennie generates targeted study plans for 64 subjects across STEM, humanities, and professional fields.
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Algebra
Foundational algebra — variables, equations, inequalities, functions, polynomials, and the gateway to higher math.
Geometry
Euclidean geometry — points, lines, triangles, circles, proofs, and analytic geometry.
Trigonometry
Right-triangle and unit-circle trig, identities, equations, and applications to waves and vectors.
Precalculus
Bridge to calculus — advanced functions, sequences and series, limits, conic sections, and analytic trigonometry.
Calculus I
Limits, derivatives, applications of derivatives, and an introduction to integration — single-variable calculus.
Calculus II
Integration techniques, applications of integration, infinite series, parametric and polar equations.
Calculus III (Multivariable)
Multivariable calculus — partial derivatives, multiple integrals, vector calculus, and theorems of Green, Stokes, and Gauss.
Differential Equations
First and second-order ODEs, systems of ODEs, Laplace transforms, and applications to physics and engineering.
Linear Algebra
Vector spaces, matrices, linear transformations, eigenvalues, and applications across math and engineering.
Discrete Mathematics
Logic, set theory, combinatorics, graph theory, number theory, and the math foundation of computer science.
Statistics
Descriptive statistics, probability, sampling, hypothesis testing, regression, and statistical inference.
Probability Theory
Probability spaces, random variables, distributions, expectation, limit theorems, and stochastic processes.
Life Sciences
Biology
Introductory biology covering cells, genetics, evolution, physiology, and ecology — the foundation for every life-science major.
Anatomy & Physiology
Structure and function of the human body across organ systems — the foundational course for nursing, PT, and allied health.
Cell Biology
Structure, function, and signaling of cells — organelles, membrane transport, the cell cycle, and intracellular communication.
Genetics
Inheritance, molecular genetics, population genetics, and the techniques that connect genotype to phenotype.
Microbiology
Bacteria, viruses, fungi, and parasites — structure, classification, pathogenesis, and clinical correlates.
Biochemistry
Molecular biology of metabolism — amino acids, enzymes, glycolysis through oxidative phosphorylation, lipid and nitrogen metabolism.
Ecology
Interactions of organisms with each other and their environment — populations, communities, ecosystems, and conservation biology.
Evolutionary Biology
Natural selection, population genetics, speciation, phylogenetics, and the history of life.
Neuroscience
Brain and nervous system from molecules to behavior — neurons, synapses, sensory systems, motor control, and cognitive neuroscience.
Chemistry
General Chemistry
First-year college chemistry: stoichiometry, atomic structure, bonding, thermodynamics, kinetics, equilibrium, and acid-base.
Organic Chemistry
Two-semester course on carbon-based compounds — mechanisms, stereochemistry, synthesis, and spectroscopy.
Physical Chemistry
Quantum mechanics, thermodynamics, kinetics, and statistical mechanics applied to chemical systems.
Analytical Chemistry
Quantitative chemical analysis — titrations, spectroscopy, chromatography, electrochemistry, and statistical treatment of data.
Inorganic Chemistry
Chemistry of non-organic elements — transition metals, ligand field theory, organometallics, and solid-state chemistry.
Physics
Classical Mechanics
Newtonian mechanics, Lagrangian and Hamiltonian formulations, oscillations, rigid bodies, and central forces.
Electromagnetism
Maxwell's equations, electrostatics, magnetostatics, electromagnetic waves, and radiation.
Thermodynamics
Heat, work, energy, entropy, the laws of thermodynamics, and applications to engines, refrigeration, and chemical systems.
Quantum Mechanics
Wave-particle duality, the Schrödinger equation, operators, observables, angular momentum, and identical particles.
Optics
Geometric optics, wave optics, interference, diffraction, polarization, and modern optics including lasers.
Astrophysics
Stars, galaxies, cosmology, stellar evolution, and the application of physics to astronomical objects.
Computer Science
Data Structures
Arrays, linked lists, trees, graphs, hash tables, heaps — and choosing the right structure for the problem.
Algorithms
Algorithm design and analysis — divide-and-conquer, dynamic programming, greedy, graph algorithms, and complexity theory.
Operating Systems
Processes, threads, synchronization, memory management, file systems, and virtualization.
Computer Networks
TCP/IP stack, application protocols, routing, security, and modern network architecture.
Databases
Relational model, SQL, transactions, indexing, query optimization, and NoSQL paradigms.
Machine Learning
Supervised, unsupervised, and reinforcement learning — linear models, neural nets, evaluation, and modern deep learning.
Computer Architecture
Logic design, CPU architecture, pipelining, memory hierarchy, and parallel architectures.
Software Engineering
Beyond coding — version control, testing, design patterns, code review, agile, and shipping production software.
Engineering
Statics (Engineering)
Forces, moments, equilibrium of rigid bodies, trusses, frames, friction, and centroids — the foundation of structural analysis.
Dynamics (Engineering)
Kinematics and kinetics of particles and rigid bodies — translation, rotation, work-energy, and impulse-momentum.
Fluid Mechanics
Statics and dynamics of fluids — pressure, flow, Bernoulli, dimensional analysis, viscous flow, and pipe networks.
Circuits & Electronics
DC and AC circuit analysis, transient response, op-amps, transistors, and digital electronics fundamentals.
Materials Science
Atomic and crystal structure, mechanical properties, phase diagrams, processing, and selection of engineering materials.
Economics & Business
Macroeconomics
National economy — GDP, inflation, unemployment, monetary and fiscal policy, and international trade.
Microeconomics
Consumer and firm behavior, market structures, factor markets, market failure, and welfare economics.
Econometrics
Statistical analysis of economic data — regression, hypothesis testing, instrumental variables, and causal inference.
Financial Accounting
Recording business transactions, preparing financial statements, and analyzing them for external users.
Managerial Accounting
Internal accounting — cost behavior, budgeting, variance analysis, and decision support for managers.
Social Sciences
Psychology
Behavior and mental processes — biological bases, learning, cognition, development, social, and clinical psychology.
Sociology
Society, institutions, and group behavior — stratification, race, gender, family, and social change.
Political Science
Political systems, institutions, behavior, and theory — including American, comparative, and international politics.
US History
American history from colonization to present, including political, economic, social, and cultural developments.
World History
Global history from ancient civilizations to the modern era — empires, religions, trade, revolutions, and globalization.
Humanities
Philosophy
Logic, ethics, metaphysics, epistemology — the systematic study of fundamental questions about existence, knowledge, and value.
English Composition
Academic writing — argument, evidence, organization, style, and the craft of persuasive prose.
Literature
Close reading of literary texts — poetry, fiction, drama — with attention to form, theme, historical context, and literary theory.
Creative Writing
Craft of fiction, poetry, and nonfiction — character, voice, structure, revision, and the writer's discipline.
Languages
Spanish
Spanish language at all levels — grammar, vocabulary, speaking, listening, reading, and writing.
French
French language at all levels — pronunciation, grammar, conjugation, vocabulary, and cultural context.
Japanese
Japanese language — hiragana, katakana, kanji, grammar, vocabulary, and cultural context.