This develops the skills necessary to succeed using algebra. The course is intended as a bridge between the elementary mathematics curriculum and the middle school math curriculum. Students explore relationships involving ratios, proportions, percent, and number systems. Students learn to use graphing calculator technology and apply use software to construct basic models of linear systems. PREREQ: N/A (Syllabus)


Algebra I students will extend topics introduced in Elementary Mathematics III/IV by learning algebraic concepts through both theory and applications. Modeling and real-world problems are introduced throughout the course. Students will begin with a review of the properties of real numbers before moving on to further topics in algebra and algebraic reasoning, including logarithms, conic sections, triangle trigonometry, trigonometric functions, normal distributions and sampling methods, and sequences. This course prepares students for Precalculus. PREREQ: Elementary Mathematics V or Pre-Algebra. (Syllabus)


Precalculus students will extend topics introduced in Algebra I (or Elementary Mathematics V for Honors) and learn to manipulate and apply more advanced functions and algorithms. This course provides a mathematically sound foundation for students en route to AP Calculus AB by developing mathematical intuition for the behavior of functions. PREREQ: Algebra I (ICS) or Algebra II level course (Syllabus)


AP Calculus AB is an Advanced Placement (College Board) course that is the equivalent of a standard Calculus I (and some of Calculus II) course in university. The course emphasizes problem-solving and application and takes a multi-representational approach to calculus with concepts, results, and problems being expressed graphically, algebraically, and numerically. The course prepares students for the AP examination each May - successful outcomes result in the earning of college credit at many institutions. This course also prepares students for AP Calculus BC. PREREQ: Precalculus (Syllabus)


AP Calculus BC is an Advanced Placement (College Board) course that is the equivalent of a standard Calculus II course in university. The course emphasizes problem-solving and application and takes a multi-representational approach to calculus with concepts, results, and problems being expressed graphically, algebraically, and numerically. The course prepares students for the AP examination each May - successful outcomes result in the earning of college credit at many institutions. This course also prepares students for Multivariable Calculus. PREREQ: AP Calculus AB (with some exceptions) (Syllabus)


AP Statistics is an Advanced Placement (College Board) course that is the equivalent of a standard Introductory Statistics course in university. The course emphasizes how data may be collected and analyzed and what conclusions might be drawn from it. The course focuses on three areas: descriptive statistics, inferential statistics, and probability. The course prepares students for the AP examination each May - successful outcomes result in the earning of college credit at many institutions. (The course also utilizes the R programming language.) PREREQ: Precalculus (Syllabus)


Multivariable Calculus students will learn to apply the techniques of differential, integral, and vector calculus to functions of more than one variable. Emphasis is on application with a light amount of formalism, and this is a highly visual course. This course prepares students for higher university-level courses in mathematics and provides a solid basis for students wishing to continue their studies in engineering, science, and economics. (Students will also be introduced to the Wolfram Mathematica software. For additional credit, students may further pursue the Wolfram or MATLAB languages.) PREREQ: AP Calculus BC (Syllabus)


Integrated Linear Algebra & Differential Equations students seek to understand the problem of existence and uniqueness of solutions to differential equations while using the tools of linear algebra. While linear algebra and differential equations are distinct subjects in their own right, this course has integrated them to develop a stronger connection between them. Students will be introduced to formal proof-writing and will use computer-based software tools to model physical phenomena through differential equations. This course prepares students for further studies in both applied and pure mathematics at a higher level. PREREQ: Multivariable Calculus (Syllabus)




Pure Mathematics students will be exposed to a wide range of topics in advanced mathematics at an introductory level, giving them the opportunity to choose areas of concentration in the future. The course focuses heavily on the rigorous development of algebraic structures, but explores broadly in the following seven areas: Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, and Complex Analysis. This course requires students to write proofs and demonstrate a higher level of mathematical formalism. However, it is a fun introduction to mathematical thinking and will host “Proof Parties” for students. The course will prepare students interested in pursuing one or more of these areas in university. (Students who write proofs using LaTeX or a math editor will receive extra credit in this course.) PREREQ: Multivariable Calculus (Syllabus)



This course is an introduction to the basic principles of the life sciences: biology, ecology, and the environment. Students will learn about the cell, genetics, evolution, zoology, environmental principles and conservation, and human physiology. PREREQ: N/A (Syllabus)


This course introduces the general principles of physics, chemistry, and Earth science. Topics include measurement, motion, Newton's Laws of Motion, momentum, energy, work, power, heat, thermodynamics, waves, sound, light, electricity, magnetism, chemical principles, atomic structure, periodicity, chemical interactions, stoichiometry, geophysical cycles, atmospheric conditions, and introductory geological principles. PREREQ: N/A


This course introduces students to the principles and concepts of biology and the life sciences. Emphasis is on basic biological chemistry, cellular structure and function, metabolism and energy transformations, genetics, evolutionary principles, classification systems, and basic ecology. PREREQ: N/A


This is a first year general lab-based chemistry course that introduces the basic atomic principles, chemical reactions and bonding, stoichiometry, and solutions. COREQ: Algebra I


This is an algebra-based course in general physics, providing conceptually-based exposure to the fundamental principles and processes of the physical world. More mathematically-intensive and problem-solving oriented than Physical Science, Physics I pursues the concepts of 2D motion, forces, energy, heat, electricity, magnetism, harmonic motion, and the structure of matter in greater depth. COREQ: Algebra I


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. PREREQ: N/A (Syllabus)


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. PREREQ: Algebra I (Syllabus)


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." PREREQ: N/A


This course is designed to introduce students to university-level, calculus-based study of the mechanics of physical systems. The course explores problem-solving in kinematics, Newton's Laws of Motion, work and energy relationships, momentum, circular motion, simple harmonic motion, and the Newtonian approach to gravity. This course is lab-based and mathematically-intensive. PREREQ/COREQ: AP Calculus AB (Syllabus)


This course is designed to introduce students to university-level, calculus-based study of electricity and magnetism. The course covers electrostatics, field and potential, flux, circuits, induction, the magnetic force, and electromagnetic waves. This course is lab-based and mathematically-intensive. PREREQ/COREQ: AP Calculus AB, AP Physics C: Mechanics


This course is an advanced introduction to topics in modern physics, including relativity, contemporary field theories, quantum mechanics, nuclear physics, particle physics, and basic cosmology. Students are encouraged to follow and report on recent breakthroughs in these fields. PREREQ/COREQ: AP Physics C: Mechanics, Multivariable Calculus and/or LADE (recommended)


This course introduces students to the major topics of university-level biochemistry, including aqueous systems, protein structure and function, biosignaling, metabolic regulation and bioenergetics, information pathways, and the regulation of gene expression. The course also develops a basic knowledge of organic chemistry for the biological sciences. PREREQ: AP Biology, AP Chemistry (recommended)


This course provides a light introduction to the principles and applications of modern computing technology. Emphasis is on developing practical usage of web applications, productivity software, multimedia, and design. Students also learn about the various types of hardware, their histories, and their functions. Some exposure to algorithmic problem-solving is developed. PREREQ: N/A


This course is designed to be students' first course in coding. They are further exposed to algorithmic thinking, data structures, and working with lists and strings. Students develop mini-projects and are encouraged to share work on GitHub. PREREQ: N/A


The following courses are examples of electives that students have completed online:

Intensive Introduction to Computer Science (CS50, HarvardX)

MATLAB and Octave for Beginners (EPFLX)

Using Python for Research (HarvardX)



World History I/II are broad historical survey courses of ancient and modern world history respectively. The courses emphasizes a thematic, material, and narrative approach to understand historical trends and cultural changes across geography and time. Students are introduced to historical thinking skills necessary for further courses in history and the social sciences generally. PREREQ: N/A (Syllabus)


Covering 1200 CE to the present, this is a broad but deep survey course on modern world history that focuses on the following key themes/ideas: historical trends/patterns, cross-cultural exchanges, economic development, conflict versus coincidence, revolutionary changes, and global processes. Primary sources analysis and an evidence-based approach to history is emphasized. PREREQ: World History I/II (recommended) (Syllabus)


This is an interdisciplinary course that spans geography, sociology, economics, history, philosophy, and ecology to develop a framework for understanding phenomena like urbanization patterns and global environmental trends. Students rely on multiple perspectives to analyze features of human activity like migration or sustainable development. PREREQ: World History I/II (recommended) (Syllabus)


This course is an introductory university-level course in comparative government and politics.The course uses a comparative approach to examine - in depth - the political structures; policies; and political, economic, and social challenges of six selected countries: China, Iran, Mexico, Nigeria, Russia, and the United Kingdom. PREREQ: World History I/II (recommended)


This course is an introduction to classical and neoclassical economics from the perspective of consumers and producers interacting as households and firms in the exchange of goods/services, labor, and capital. Students learn about the fundamental concepts of supply and demand, elasticity, types of market competition, and labor markets. PREREQ: N/A


This course is an introduction to the branch of economics that deals with the functioning of the economy as a whole. Students learn about fundamental macroeconomic metrics like GDP, CPI, and PPP, and learn to measure a nation's well-being on the basis of factors like income and cost of living. Students also learn how governments and central banks use fiscal and monetary policies, respectively, to manage factors like inflation, unemployment, and aggregate demand. PREREQ: N/A


This course is designed to introduce students to the history and concepts of the psychological sciences. Students learn about psychology's history, multiple perspectives, and various subfields across topics like the biological relationship to human behavior, neuroscience, sensation and perception, cognitive development, learning and memory, forms of consciousness, motivation, emotion and personality, social psychology, and abnormal psychology. PREREQ: N/A


This course builds on the ideas and perspectives students have developed in other courses in the social sciences to cultivate what C. Wright Mills famously termed the "sociological imagination." Student seeks to understand the broad array of social changes, classes, and phenomena through many lenses as they develop complex schematics for analyzing society. The course emphasizes recent events/social phenomena and requires students to produce research on local/regional communities. PREREQ: AP Psychology


This course introduces students to the core questions posed historically by philosophy in the areas of aesthetics, epistemology, ethics, ontology, religion, politics, civil society, and science. Students follow schools as diverse as neoconfucianism and critical theory. This course is both reading and writing intensive and discussion-oriented. PREREQ: N/A


This course introduces students to the challenges of management through case studies. Students learn the fundamentals of planning and decision-making, organizational structures, human resources management, communication and motivation, and operations management. PREREQ: AP Microeconomics 


This course introduces the key aspects of entrepreneurship and the challenges new business ventures face. Students learn to develop a business model, analyze industries and competitors, assess financial viability, obtain financing, and strategize/manage growth. The course culminates in a student entrepeneurial project in which students develop and present a business model. PREREQ: Business Management



These courses provide a cumulative, scaffolding ELA experience that emphasizes reading, writing, and rhetoric. Students at each level learn to analyze texts for rhetorical devices and respond in both discussion and writing. Students are exposed daily to tasks that require them to practice and develop their comprehension and communication skills as both native and second-language users of English. PREREQ: N/A


These courses help students develop a lifelong love of literature and provide them the tools to understand and analyze every work they read. Students learn to read across genres and forms, including poetry, drama, and fiction. Each course adopts a unique theme or genre to explore. Past courses have focused on gender in literature, dystopian fiction, and ancient classics. PREREQ: N/A


This course is an intensive university-level introduction to the close analysis of literature in multiple forms and genres. Students learn to read through a variety of critical lenses, including..... PREREQ: English Literature (recommended)


These courses are designed to improve student composition and introduce them to the wide range of formal writing styles, while strengthening grammar and syntax. PREREQ: N/A


This course introduces students to the world of creative writing through multiple modes of expression, including the novel, the short story, poetry, creative essays, and scripts. The course is relatively informal to allow students to "play" with their work and share freely. PREREQ: N/A


This course is designed to introduce new students to the art of debate and public speaking, while developing the skills of those already experienced in forms of debate ranging from parliamentary style to free-form. PREREQ: N/A


This is a non-credit prep course for students planning to take the TOEFL examination during high school. It emphasizes the key areas of listening, speaking, reading, and writing.






Non-Discrimination Policy:

IVY COLLEGIATE SCHOOL is committed to encouraging and sustaining a learning and work community that is free from prohibited discrimination and harassment. The school prohibits discrimination on the basis of race, color, religion, national origin, disability, military status, sexual orientation, gender identity, sex, genetic information, or age in the administration of its educational policies, admission policies, financial aid, employment, or any other institutional program or activity. The school admits qualified students to all the rights, privileges, programs, and activities generally accorded or made available to students.

Ivy Collegiate School

22 Crystal-ro 102beon-gil

8th Floor

Seo-gu, Incheon

Republic of Korea 22760

College Board CEEB Code: 682047

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