Courses Taught:

Michigan State University:

[Students, see D2L or Math Department Class Pages for course webpages]

MTH 103 -- College Algebra -- Sample syllabus.

This algebra course covers functions, graphing, and modeling, with a focus on linear, exponential, logarithmic, polynomial, and rational functions. I have led a team redesigning the course and taught large (220 person) lectures.

MTH 124 -- Survey of Calculus I -- Sample syllabus.

This first semester applied calculus course covers the basics of differentiation and integration as well as applications to the life sciences or economics (depending on the section). I have redesigned the structure and curriculum of the course and taught several 300-person lectures.

LB 118 -- Calculus I-- Sample syllabus.

This course is the first in the Lyman Briggs calculus series, covering limits, differentiation, integration, and applications.

LB 220 -- Calculus III-- Sample syllabus.

This course is the third in the Lyman Briggs calculus series, covering multivariable calculus.

MTH 301 -- Foundations of Higher Math-- Sample syllabus.

This transition to proofs course covers material in logic, set theory, and functions, in addition to proof techniques.

MTH 317H -- Honors Linear Algebra-- Sample syllabus.

This advanced track course teaches proof-writing skills along with linear algebra content including vector spaces, linear transformations, determinants, spectral theory, inner product spaces..

MTH 327H -- Introduction to Advanced Anaylsis-- Sample syllabus.

This advanced track real analysis course covers topics including real and complex numbers, topology, sequences and series, continuity, differentiation, and integration.

MTH 490 -- Directed Studies - Algebraic Topology

This directed studies course covers an introduction to algebraic topology at a level appropriate for an undergraduate student.

MTH 490 -- Directed Studies - Differential Topology

This directed studies course covers an introduction to differential topology at a level appropriate for an undergraduate student.

MTH 869 -- Graduate Geometry and Topology II-- Sample syllabus.

This one semester qualifying exam course gives an introduction to algebraic topology. Topics covered include covering spaces, fundamental group, homology, and cohomology.

Indiana University:

[Students, see Oncourse for course webpages]

M 119 -- Brief Survey of Calculus I

This application focused introduction to calculus course is aimed at students in business and social sciences. I have taught sections of this course with up to 250 students.

M522 -- Topology II

This is a graduate level course on algebraic topology, covering homology and cohomology.

M 211 -- Calculus I

This first semester calculus course covers limits, differentiation, integration, and applications

M 212 -- Calculus II

This second semester calculus course covers integration techniques, applications of integration, and infinite series.

MIT:

18.03 -- Differential Equations

Recitation Leader

This course covers ordinary differential equations, including modeling physical systems.

18.06 -- Linear Algebra

Recitation Leader

This is a first course in matrix theory and linear algebra.

Stanford University:

CS106A -- Programming Methodology

Recitation Leader

This is an introduction to programming course emphasizing modern software engineering principles: object-oriented design, decomposition, encapsulation, abstraction, and testing.