Teaching:
Summer 2013: N/A (Worked for Johns Hopkins University Center for Talented Youth)
Summer 2012: 302 Differential Equations with Applications
Summer 2011: N/A
Summer 2010: 105 Introduction to Calculus
Summer 2009: 202 Multivariable Calculus
Teaching Assistant:
Fall 2013: 107 Calculus II (for Biology) Sections 3, 4
Spring 2013: 109 Calculus II (for Engineering) Sections 3, 4
Fall 2012: 106 Calculus I (for Biology) Sections 4, 5
Spring 2012: 109 Calculus II (for Engineering) Sections 1, 2
Fall 2011: 109 Calculus II (for Engineering) Sections 6, 7
Spring 2011: 302 Differential Equations Sections 3, 6
Fall 2010: 108 Calculus I (for Engineering) Sections 2, 4
Spring 2010: 302 Differential Equations with Applications Sections 1, 2
Fall 2009: 212 Honors Linear Algebra and 201 Linear Algebra Section 3
Spring 2009: N/A
Fall 2008: 108 Calculus I (for Engineering) Sections 3, 4
Course Descriptions: (as of 20131115)
AS.110.105. Introduction to Calculus. 4 Credits.
This course starts from scratch and provides students with all the background necessary for the study of calculus. It includes a review of algebra, trigonometry, exponential and logarithmic functions, coordinates and graphs. Each of these tools will be introduced in its cultural and historical context. The concept of the rate of change of a function will be introduced. Not open to students who have studied calculus in high school.
AS.110.106. Calculus I (For Biological and Social Science) 4 Credits.
Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, applications for systems of linear differential equations, probability distributions. Many applications to the biological and social sciences will be discussed.
AS.110.107. Calculus II (For Biological and Social Science). 4 Credits.
Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, introduction to differential equations, functions of several variables, linear systems, and applications for systems of linear differential equations, probability distributions.
AS.110.108. Calculus I (For Physical Sciences and Engineering). 4 Credits.
Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series.
AS.110.109. Calculus II (For Physical Sciences and Engineering). 4 Credits.
Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.
AS.110.201. Linear Algebra. 4 Credits.
Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.
AS.110.202. Calculus III. 4 Credits.
Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.
AS.110.212. Honors Linear Algebra. 4 Credits.
This course includes the material in AS.110.201 with some additional applications and theory. Recommended for mathematically able students majoring in physical science, engineering, or mathematics. AS.110.211-AS.110.212 used to be an integrated yearlong course, but now the two are independent courses and can be taken in either order. This course satisfies a requirement for the math major that its non-honors sibling does not.
AS.110.302. Diff Equations/Applic. 4 Credits.
This is an applied course in ordinary differential equations, which is primarily for students in the biological, physical and social sciences, and engineering. The purpose of the course is to familiarize the student with the techniques of solving ordinary differential equations. The specific subjects to be covered include first order differential equations, second order linear differential equations, applications to electric circuits, oscillation of solutions, power series solutions, systems of linear differential equations, autonomous systems, Laplace transforms and linear differential equations, mathematical models (e.g., in the sciences or economics).
