Hyperlinks lead to course information web pages where available. Please note that many of the following courses are in development and will not be prepared until 2001.
Elementary-level and Secondary-level courses are tutored by InfoKids:
K-7 Mathematics: M00A K-2, M00B
3-4, M00C 5-6, and M00D 7
This sequence provides a rigorous and complete mathematics curriculum at
the elementary school level with a strong emphasis in conceptual geometry and
mathematical foundations. Students progress in areas of simple arithmetic,
fractions, decimals, sets, measurement, graphs, functions, geometry and
pre-algebra. The program begins at the kindergarten level and progresses
through the end of pre-algebra. Students should enroll at the beginning of
their current school grade level. Billed per quarter. Suggested completion
time: 3 quarters per course.
W09A,
W09B, W09C English Language Arts
These courses, intended for students in grades four through six,
provide verbally gifted youngsters with opportunities to develop critical
skills in writing and reading. Each week, students read and discuss texts
chosen from a variety of fiction and nonfiction sources. Students submit work
weekly to an instructor for review and commentary. Students also exchange work
by email for discussion and peer editing. Billed per course.
M011
Beginning Algebra
The first year of high-school algebra, including the real number system,
equations and inequalities, polynomials and exponents, factoring and
applications, rational expressions, graphing linear equations, linear systems,
roots and radicals and quadratic equations. Suggested completion time: 3
quarters.
M012
Intermediate Algebra
The second year of high-school algebra, including the intermediate
levels of linear equations and inequalities, exponents and polynomials,
rational expressions, roots and radicals, quadratic equations and inequalities,
the straight line, systems of linear equations, quadratic functions, inverse
exponential and logarithmic functions, sequences and series. Suggested
completion time: 2 quarters.
M013
Precalculus
Topics in algebra, trigonometry, analytic geometry and other mathematical
areas necessary to complete an in-depth study of the material generally
presented in secondary school mathematics. It provides the background necessary
for the calculus. Suggested completion time: 3 quarters.
M015
Honors Geometry
An expanded version of a tradition High School Geometry Course with an
emphasis on the axiomatic approach. Covers logic, synthetic geometry, analytic
geometry and transformational geometry. Suggested completion time: 3 quarters. In
Development.
P10A,
P10B, P10C Elementary Physics
This sequence of three courses is designed to give students a firm
understanding of the principles and concepts of physics with an algebra
prerequisite. Topics include, Mechanics, Wave Motion, Sound, Thermodynamics,
Electricity and Magnetism, Optics, Relativity, and some highlights of Modern
Physics. Prerequisite completion of or concurrent enrollment in M011 or
equivalent. Suggested completion time: 2 quarters per course. P10B, C In Development.
C11A,
C11B, C11C
Introduction to C Programming
This sequence of courses provides students with a general
introduction to computer science and programming within the context of learning
the C programming language. The course covers the basic introduction to
computer science and to fundamental programming concepts but at the same time
it includes advanced topics that enable writing more complex programs.
Suggested completion time: 1 quarter per course.
C015 Introduction to Java
This course introduces students to the concept of object oriented
programming. The course will cover both the basic and advanced features of Java
as well as Object Oriented design. Students design and build applications such
as web applets. Prerequisites: C11C. Suggested completion time: 1 quarter per
course. In Development.
E000
Topics in Grammar
Topics in Grammar is a CD-based course designed to help students
become better editors of their writing, become familiar with more advanced
grammar conventions, and develop syntactic fluency.It provides a suitable
prepartory introduction to students who want to join Writing courses
eventually. Billed per quarter.
W10A,
W10B, W10C Intermediate Writing
The Intermediate Writing Course prepares students for the W011
course. Topics include argumentative essay composition, critical reading of
nonfiction texts, and literary analysis. Students read poems, short stories,
narrative essays, a full-length dramatic work, historical nonfiction, and
editorials. Lectures and virtual classroom sessions emphasize cause-and-effect
analysis the elements of argumentation. Billed per course.
W11A,
W11B, W11C, W11D Fundamentals of Writing
This sequence of four quarter-long courses introduces students to the
finer points of expository writing and reading skills by reviewing the
fundamentals of good writing. Students meet regularly by electronic means with
the instructor, both alone and in groups, to review their writing. The course
prepares students to take the AP Expository Writing Sequence. Billed per
course.
U001 Fundamentals of Music
Theory
The study of the fundamentals of music, including notation, rhythm,
meter, scales, intervals, and basic chord structure. This course is designed as
a prerequisite for the next course in the series, Advanced Placement Music
Theory. Prerequisite: Students must be able to read music in at least one clef.
Knowledge of the keyboard is desirable but not mandatory. In Development.
Advanced Placement and University-level courses are tutored directly by Stanford EPGY:
M040
Calculus A
The first quarter of college calculus, including limits and part of the
differential calculus. Suggested completion time: 1 quarter.
M041
Calculus B
The second quarter of college calculus, including differential calculus,
and part of the integral calculus. Prepares students to take the Calculus AB
Advanced Placement Exam. Suggested completion time: 1 quarter.
M042
Calculus C
The third quarter of college calculus. It covers topics of limits and
derivatives in more depth, introduces advanced techniques and applications of
integration, and concludes with a study of power series and simple differential
equations. Prepares students to take the Calculus BC Advanced Placement Exam.
Suggested completion time: 1 quarter.
P051
Physics C: Mechanics
An introductory college level course in mechanics with calculus
prerequisite. The course prepares students to take the Physics C: Mechanics AP
exam. Prerequisite M040 or equivalent. Billed per course.
P053
Physics C: Electricity and Magnetism
An introductory college level course in electricity and magnetism with
calculus prerequisite. It is the natural successor to the mechanics course.
Prerequisite M041 or equivalent. Billed per course.
E001A,
E001B, E001C Advanced Placement Expository Writing
This sequence develops expository writing and critical reading skills,
through the analysis of strategies of argumentation coupled with extensive
student writing and revising. The curriculum includes critical analysis of
essays from various disciplines. Students meet regularly by electronic means
with the instructor, both alone and in groups, to review their writing. The
course prepares students to take the Advanced Placement Examination in English
Language and Composition. Billed per course.
U011 AP Music Theory
This course is a study of Western musical practice in diatonic and
chromatic harmony through partwriting and analysis including modulation,
secondary dominants, augmented sixth chords and extended harmonies. Also
included in the course are basic formal concepts in music and an introduction
to Twentieth-Century music practices. In Development.
College-level Humanities Courses
The political philosophy developed by Plato, Machiavelli, Hobbes, Rousseau, Marx and others has shaped the modern political world. These thinkers each addressed, and produced remarkably different answers to, fundamental questions such as "how can large groups take divergent interests into account, and make decisions that serve the greater good - even if that sometimes means repressing the interests of some members of the political body?" In this course we will read selected works from these authors and examine how their ideas inform modern political debate.
HMOD Power of Ideas: Modernism
Never doubt that a small group of committed people can change the world. From Freud and Lenin to Picasso and T.S. Eliot, meet the intellectuals of the twentieth century whose ideas still predominate modern world thought.
HODY Odysseus: Homecoming King
Answer the call of the Sirens and
discover the adventure and intelligence that has made Homer's Odyssey
one of the foundations of Western storytelling. This course explores the
timeless values that are at the core of Homer's Odyssey. Students will
discover The Odyssey's context within ancient Greek culture, its medium
- that of oral-traditional poetic performance - and its messages for a modern
listener.
These courses correspond to regular Stanford University courses. See the section on credit for below for details. All courses billed per course.
M51A
Linear Algebra
An honors introductory course in Linear Algebra: Linear Spaces,
Transformations, Matrices, Eigenvalues, Eigenvectors, and Linear Operators. (5
units).
M52A
Multivariable Differential Calculus
(Formerly M044). Differential calculus for functions of two or more
variables. Topics: vectors and vector-valued functions in 2-space and 3-space,
tangent and normal vectors, curvature, functions of two or more variables,
partial derivatives and differentiability, directional derivatives and
gradients, maxima and minima, optimization using Lagrange multipliers.
Prerequisite: M042 or equivalent. (4 units).
M52B
Multivariable Integral Calculus
(Formerly M044). Integral calculus for functions of two or more
variables. Topics: double and triple integrals, change of variables and the
Jacobian, vector fields, line integrals, independence of path and the
fundamental theorem of line integrals, Green's theorem, divergence theorem, and
Stokes' theorem. Prerequisite: M52A or equivalent. (3 units).
M53A
Differential Equations
Basic techniques and methods for solving ordinary differential
equations. Topics include: linear, separable, and exact equations; existence
and uniqueness theorems; difference equations; basic theory of higher order
equations; variation of parameters; undetermined coefficients; series
solutions; Laplace transform; systems of equations. (5 units).
M106
Complex Analysis
Theory of differentiation and integration of complex functions. Topics
will include: algebra of complex numbers, complex functions, multi-valued
functions, exponentials, logarithms, analyticity, integrals, power series,
Laurent series, residues, isolated singularities, poles and zeros. (3 units).
Prerequisites: M43H and M44H. In Development.
M109
Modern Algebra
Theory of groups, rings, and fields, with particular emphasis on applications
involving symmetry, matrix, and crystallographic groups, and constructibility.
(3 units). Prerequisites: M43H and M44H. In Development.
M115
Real Analysis
Theory of functions of a real variable. Topics include: sequences,
series, limits, continuity, differentiation, integration, basic point-set
topology. (3 units). Prerequisites: M43H and M44H. In Development.
M131
Partial Differential Equations
Theory of differential equations involving functions of more than one
variable. Topics include: first order equations, classification of second order
equations, initial-boundary value problems for heat equation, wave equation,
and related equations, separation of variables, eigenvalue problems, Fourier
series, existence and uniqueness questions. (3 units). Prerequisites: M43H and
M44H. In Development.
M146
Topology
Theory of topological spaces and continuous functions. Topics include
open sets, closed sets, continuity, bases, products, metric spaces,
connectedness, compactness, homotopy, fundamental group, and covering spaces.
(3 units). Prerequisites: M106 or M115. In Development.
M152
Elementary Theory of Numbers
Euclid? algorithm, fundamental theorems on divisibility; prime numbers,
congruence of numbers; theorems of Fermat, Euler, Wilson; congruence of first
and high degrees; Lagrange? theorem; residues of power, quadratic residues;
introduction to theory of binary quadratic forms. (3 units).
M157
Introduction to Logic
A standard introduction to sentential and first-order logic, with
additional material on quantification, translation, and consistency proofs. (4
units).
M161 Axiomatic Set Theory
An introduction to Zermelo-Fraenkel set theory and the foundations of
mathematics. Prerequisite M157 or equivalent. (4 units). In Development.
P055 Light and Heat
(Formerly P55A and P55B) An introduction to optics and thermodynamics.
Topics: temperature, properties of matter, introduction to the kinetic theory
of matter, light and electromagnetic waves, reflection and refraction of light,
lens systems, interference and diffraction. Prerequisite: P053. (4 units)
P070
Modern Physics
Key concepts in relativity, (special and general), quantum mechanics,
condensed matter, cosmology, and high energy particle physics will be
introduced. (4 units).
P110, P111 Intermediate
Mechanics
Mechanics of systems of particles and rigid bodies. Coordinate
transformation and vectors; Newtonian mechanics; linear and nonlinear
oscillations; Hamilton's principle; Lagrangian and Hamiltonian dynamics;
non-inertial reference systems; rigid body dynamics; coupled oscillations and
introductory fluid mechanics. Prerequisites P051 and M45H or equivalent. (4
units each). In Development.
P120, P121 Intermediate
Electricity and Magnetism
Vector analysis, electrostatic fields, including multipole expansions;
dielectrics, Special relativity and transformation between electric and
magnetic fields. Maxwell's equations. Static magnetic fields, magnetic
materials. Electromagnetic radiation, plane wave problems (free space,
conductors and dielectric materials, boundaries). Prerequisite P111 and M044.
(4 units each). In Development.
P130, P131 Introduction to
Quantum Mechanics
The origins of quantum mechanics, wave mechanics, and the Schrodinger
equation. Heisenberg's matrix formulation of quantum mechanics, solutions to
one-dimensional systems, separation of variables and the solution to
three-dimensional systems, the central field problem and angular momentum
eigenstates, spin and the coupling of angular momentum. Invariance principles
and the conservation laws in the context of quantum theory. Prerequisites P121
and M045. (4 units each). In Development.
by dchan@infokids.com.hk
and cope@Turing.Stanford.EDU
(c) 2000 EPGY Pages are used by permission of EPGY