## Course Catalog

Mathematics

Algebra I:

This course examines the basic structure of real numbers, algebraic expressions, and functions. The topics studied are linear equations, inequalities, functions and systems, quadratic equations and functions, polynomial expressions, data analysis, probability, and the elementary properties of functions. Mathematical modeling of real-life problems and problem solving are major themes of the course.

Algebra II:

This course focuses on the use of technology and data analysis to develop students’ thinking, problem-solving, and communication skills. Properties, applications, algebra, and parametric representation of functions; matrix algorithms; and linear, quadratic, radical, exponential, logarithmic, polynomial, and rational functions are studied.

Precalculus:

The formal study of elementary functions is extended in this course. Students apply technology, modeling, and problem-solving skills to the study of trigonometric and circular functions, identities and inverses, and their applications, including the study of polar coordinates and complex numbers. Vectors in two and three dimensions are studied and applied. Problem simulations are explored in multiple representations—algebraic, graphic, and numeric. Quadratic relations are represented in polar, rectangular, and parametric forms. The concept of limit is applied to rational functions and to discrete functions such as infinite sequences and series. The formal definition of limit is applied to proofs of the continuity of functions and provides a bridge to calculus.

AP Calculus AB:

Focuses primarily on differential calculus: limits, continuity, derivatives, and applications of derivatives. Additional topics include optimization, integration, applications of integration, slope fields, and separable differential equations.

PREREQ: Pre-Calculus background

AP Statistics:

Topics include probability as the tool for producing models, random variables, independence, normal distribution, simulation, sampling, statistical inference, confidence intervals, and tests of significance.

AP Calculus BC:

Topics covered include primarily differential calculus: limits, continuity, derivatives, the Chain

Rule, related rates, and the Mean Value Theorem. Integral calculus and the applications of integration are also covered.

PREREQ: Pre-Calculus background + placement test.

The following courses are not available perennially. Availability depends on enrollment. All courses require a background in Calculus.

Multivariable Calculus:

This course covers differential, integral and vector calculus for functions of more than one variable.

Numerical Analysis:

This course analyzes the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods in linear algebra.

Linear Algebra:

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices.

Differential Equations:

Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations.

Methods of Problem Solving:

This course focuses on the development of problem-solving skills through an introduction to proofs, set theory, formal logic, and other tools in the war chest of mathematics. The course culminates in a problem-solving competition.

Science

Astronomy:

The focus of this course is on building scientific fundamentals and progressing through an exploration of the solar system, stars, galaxies, and cosmology.

Physical Science:

This course introduces the general principles of physics and chemistry. Topics include measurement, motion, Newton's laws of motion, momentum, energy, work, power, heat, thermodynamics, waves, sound light, electricity, magnetism, and chemical principles.

Biology I:

This course introduces the principles and concepts of biology. Emphasis is on basic biological chemistry, cell structure and function, metabolism and energy transformation, genetics, evolution, classification, and other related topics.

Physics I:

This course provides a conceptually-based exposure to the fundamental principles and processes of the physical world. Topics include basic concepts of motion, forces, energy, heat, electricity, magnetism, and the structure of matter and the universe.

Chemistry I:

This course offers a rigorous, foundational treatment of atoms and molecules. We study the nature of chemical bonding and how bonding gives rise to the three-dimensional structure of matter. We explore how the macroscopic properties of substances can be interpreted in terms of atomic and molecular structure.

Computer Science I:

This course introduces computer programming using the C++ and JavaScript programming languages. Emphasis is placed on algorithms and problem solving.

AP Physics C: Mechanics:

The Mechanics course applies both differential and integral calculus and provides instruction in each of the following content areas: Kinematics, Newton’s laws of motion, Work, energy and power. Additional focus on Systems of particles and linear momentum, Circular motion and rotation, Oscillations and gravitation. COREQ/PREREQ: AP Calculus AB or BC

AP Physics C: Electricity & Magnetism:

The Electricity and Magnetism course applies both differential and integral calculus, and builds upon the: Mechanics course by providing instruction in each of the following content areas: Electrostatics, Conductors, capacitors, and dielectrics, Electric circuits, Magnetic fields, and Electromagnetism. COREQ/PREREQ: AP Calculus AB or BC

AP Chemistry:

This course is an introduction to the theoretical framework of modern chemistry, including atomic structure, chemical bonding, phase changes, solutions, chemical reactions, thermodynamics, kinetics, general equilibria, acid-base equilibria, electrochemistry, and aspects of inorganic and nuclear chemistry. Emphasis is placed on developing problem-solving skills and understanding the experimental basis of theories.

AP Biology:

AP Biology is an introductory college-level biology course. Students cultivate their understanding of biology through inquiry-based investigations as they explore the following topics: evolution, cellular processes—energy and communication, genetics, information transfer, ecology, and interactions.

AP Environmental Science:

The APES course studies "the scientific principles, concepts, and methodologies required to understand the interrelationships of the natural world, to identify and analyze environmental problems both natural and human-made, to evaluate the relative risks associated with these problems, and to examine alternative solutions for resolving and/or preventing them."

Introduction to Programming in Python:

This is a year-long course in Python designed to get students coding, solving problems, and creating individualized projects right away.

AP Computer Science A:

AP Computer Science A is equivalent to a first-semester, college-level course in computer science. The course emphasizes both object-oriented and imperative problem solving and design using Java language.

Social Sciences

World History I-III:

These courses provide a general overview of world history. Emphasis is on exploring context, themes, and connections between periods, cultures, and societies.

AP Psychology:

Topics covered: historical perspectives in psychology, the scientific method, biological bases of behavior, sensation & perception, consciousness, psychological testing, individual differences, learning, cognition, motivation & emotion, development, personality, abnormal psychology, psychological disorders, social psychology

AP Microeconomics:

An introduction to the study of the consumers and producers that make up the economy: households, firms, governments, and community organizations. The course provides particular emphasis on the function of consumers and producers within the economic system. The course also offers analysis of the markets in which consumers and producers interact as well as non-market economics.

AP Macroeconomics:

An introduction to how the market system works, how prices are determined, why shortages and surpluses occur, and why incomes differ. Topics include: national income, price determination, economic performance measures, international economics

AP World History - Modern (Updated 2019):

The new APWH course is organized into 9 units covering periods from 1200 CE to the present. (An AP World History - Ancient is likely forthcoming as well.)

AP Human Geography

This course introduces students to the systematic study of patterns and processes that have shaped human understanding, use, and alteration of Earth's surface. Students employ spatial concepts and landscape analysis to examine human social organization and its environmental consequences.

AP Comparative Government & Politics

AP Comparative Government and Politics is an introductory college-level course in comparative government and politics.The course uses a comparative approach to examine the political structures; policies; and political, economic, and social challenges of six selected countries: China, Iran, Mexico, Nigeria, Russia, and the United Kingdom.

Sociology

This is an introductory course in Sociology. Students are introduced to the methods and perspectives of Sociology through the concept of C. Wright Mills' "sociological imagination." The course culminates in a Capstone research project.

Humanities

English Language I-III

English Literature I-III

AP English Literature and Composition:

Designed to engage students in the careful reading and critical analysis of imaginative literature. Through the close reading of selected texts, students deepen their understanding of the ways writers use language to provide both meaning and pleasure for their readers. As they read, students consider a work’s structure, style and themes, as well as such smaller-scale elements as the use of figurative language, imagery, symbolism and tone.

AP English Language & Composition:

Designed to engage students in becoming skilled readers of prose written in a variety of rhetorical contexts, and in becoming skilled writers who compose for a variety of purposes. Both their writing and their reading should make students aware of the interactions among a writer’s purposes, audience expectations, and subjects, as well as the way genre conventions and the resources of language contribute to effectiveness in writing.

Academic Writing I

This is an introduction to academic writing that emphasizes basic writing skills.

Academic Writing II

This course focuses on writing the research paper and writing among the disciplines.

Languages:

English Grammar

Chinese I-III

AP Chinese

Spanish I

Electives:

Rhetoric & Debate

This course is an immersive and active introduction to forms of public speaking and debate.

Drama

This course is an overview of acting techniques, set design, history of drama/theatre, and playwriting. The course culminates in an annual production.

Creative Writing

This course is a fun introduction to the various forms of creative writing. Students are encouraged to share their work with one another.

Music

Lessons for violin, viola, cello, flute, and piano are available. A final student performance is given during commencement each year.

Art

This is a traditional fine arts course that covers drawing, painting, sculpting, and graphic design.

PE