H13060 Multivariable Calculus and Linear Algebra Grades: 10,11,12 5 Credits
A.P. Weighting
Prerequisite: Physics and a minimum grade of 80% in AP Calculus BC or AB or a score of at least a 4 on the AP Calculus AB test or BC subscore.
This course, based on two college-level courses, is open to students who have completed a year of science and calculus. It will benefit any student who wants to study mathematics beyond calculus. The course will cover the theory (including proofs) and applications of Multivariable Calculus and Linear Algebra with an emphasis on developing functional knowledge of the subject. Topics will include three-dimensional analytic geometry, partial derivatives, multiple integrals, vector calculus, line integrals, systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors
Students requesting this course must have a strong commitment to learning and excellent independent study skills.
Students are expected to complete a summer assignment given by the teacher.
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H13061 Differential Equations and Complex Analysis Grades: 10,11,12 5 Credits
A.P. Weighting
Prerequisite: Multivariable Calculus and Linear Algebra.
This course, based on two college-level courses, is open to students who have completed Multivariable Calculus and Linear Algebra. The course will cover the theory and applications of Differential Equations & Complex Analysis with an emphasis on developing functional knowledge of the subjects. Topics will include First- and Second-Order Differential Equations, Laplace and Fourier Transforms, Complex Numbers, Analytic Functions, Complex Integration--if time permits, Series Representation of Analytic Functions, Residue Theorem, Conformal Mapping, and selected topics from Mathematical Physics.
Students requesting this course must have a strong commitment to learning and excellent independent study skills.
Students are expected to complete a summer assignment given by the teacher.
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H13062 Analysis Grades: 11,12 5 Credits
A.P. Weighting
Prerequisite: Multivariable Calculus and Linear Algebra.
This is a rigorous introduction to Analysis. The emphasis will be on theorems and proofs. Therefore, students signing up for Analysis must have--or be willing to develop--outstanding independent study skills to do well in this most challenging advanced undergraduate mathematics course. If time permits, both real and complex analysis topics will be covered. Students who are interested in taking the course should meet with the instructor to discuss their preparedness for the course.
In order to help students develop abstract thinking skills, there will be numerous supplemental readings and in-class discussions about topics ranging from philosophy, science & math to the environment and society in general. A few videos will be shown during the year.
Students are expected to complete a summer assignment given by the teacher
A.P. Weighting
Prerequisite: Physics and a minimum grade of 80% in AP Calculus BC or AB or a score of at least a 4 on the AP Calculus AB test or BC subscore.
This course, based on two college-level courses, is open to students who have completed a year of science and calculus. It will benefit any student who wants to study mathematics beyond calculus. The course will cover the theory (including proofs) and applications of Multivariable Calculus and Linear Algebra with an emphasis on developing functional knowledge of the subject. Topics will include three-dimensional analytic geometry, partial derivatives, multiple integrals, vector calculus, line integrals, systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors
Students requesting this course must have a strong commitment to learning and excellent independent study skills.
Students are expected to complete a summer assignment given by the teacher.
--------------------------------------------------------------------------------
H13061 Differential Equations and Complex Analysis Grades: 10,11,12 5 Credits
A.P. Weighting
Prerequisite: Multivariable Calculus and Linear Algebra.
This course, based on two college-level courses, is open to students who have completed Multivariable Calculus and Linear Algebra. The course will cover the theory and applications of Differential Equations & Complex Analysis with an emphasis on developing functional knowledge of the subjects. Topics will include First- and Second-Order Differential Equations, Laplace and Fourier Transforms, Complex Numbers, Analytic Functions, Complex Integration--if time permits, Series Representation of Analytic Functions, Residue Theorem, Conformal Mapping, and selected topics from Mathematical Physics.
Students requesting this course must have a strong commitment to learning and excellent independent study skills.
Students are expected to complete a summer assignment given by the teacher.
--------------------------------------------------------------------------------
H13062 Analysis Grades: 11,12 5 Credits
A.P. Weighting
Prerequisite: Multivariable Calculus and Linear Algebra.
This is a rigorous introduction to Analysis. The emphasis will be on theorems and proofs. Therefore, students signing up for Analysis must have--or be willing to develop--outstanding independent study skills to do well in this most challenging advanced undergraduate mathematics course. If time permits, both real and complex analysis topics will be covered. Students who are interested in taking the course should meet with the instructor to discuss their preparedness for the course.
In order to help students develop abstract thinking skills, there will be numerous supplemental readings and in-class discussions about topics ranging from philosophy, science & math to the environment and society in general. A few videos will be shown during the year.
Students are expected to complete a summer assignment given by the teacher
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