## Teaching with Technology Portfolio:

Course Descriptions

Below is a list of courses I have taught at The Pennsylvania State University, along with brief course descriptions.

*As sole instructor with full instructional responsibility*

- Math 036 WEB
*Insights into Mathematics (Online),*Spring 2013 – Fall 2014

This is an online course offered by the Pennsylvania State University World Campus. This course focuses on historical issues related to contemporary problems in voting theory, fair division, and graph theory while also discussing the merits of various problem-solving techniques.

Prerequisite: One unit of algebra or MATH 004**Technology Used:**This is a completely web-based class, using ANGEL and Piazza as the course webpages. On ANGEL I posted online lecture notes, homework assignments/solutions (including recordings I made using Blackboard Collaborate of the commonly missed questions on the homework and exams), and grades in the ANGEL gradebook. In addition, all of the lectures were pre-recorded and posted on ANGEL. I used the ANGEL email feature as the main means of communicating with my class. Piazza was used as a discussion forum where students could ask and answer questions. For screenshots, please visit my Course Web Spaces and Innovations pages.

- Math 251
*Ordinary and Partial Differential Equations*, Fall 2012

This 4-credit course introduces the foundations of first- and second-order ordinary differential equations, Laplace transform solutions, higher-order equations, and Fourier series. It ends with an overview of solution techniques for partial differential equations.

Prerequisite: MATH 141 or MATH 141H**Technology Used:**ANGEL course webpage. On ANGEL I posted online lecture notes, homework problem sets and solutions, and grades in the ANGEL gradebook. I also communicated with students using ANGEL email. I used Mathematica notebooks so students could plot vector fields and the solutions given by different initial conditions. For screenshots, please visit my Course Web Spaces page.

- Math 141
*Calculus with Analytic Geometry II*, Summer 2012

This 4-credit course is the second in the Calculus sequence for students in science, engineering, and related fields. It covers advanced techniques of integration, improper integrals, sequences, and series.

Prerequisite: MATH 140, MATH 140A, MATH 140B or MATH 140H**Technology Used:**ANGEL course webpage. On ANGEL I posted online lecture notes, homework solutions, and grades in the ANGEL gradebook. I also communicated with students using ANGEL email. For screenshots, please visit my Course Web Spaces page. - Math 034 WEB
*Mathematics of Money (Online)*Fall 2011, Spring 2012

This is an online course offered by the Pennsylvania State University World Campus. This course is designed to provide a sound introduction to the uses of college level mathematics in personal finance applications. Topics include: simple interest, simple discount, compound interest, annuities, investments, retirement plans, taxes, credit cards, and mortgages.

Prerequisite: One unit of algebra or MATH 004**Technology Used:**This is a completely web-based class, using ANGEL as the course webpage. On ANGEL I posted online lecture notes (in the form of PowerPoint slides), homework assignments/solutions, and grades in the ANGEL gradebook. In addition, all of the lectures were pre-recorded and posted on ANGEL. I used the ANGEL email feature as the main means of communicating with my class. For screenshots, please visit my Course Web Spaces page.

- Math 034
*Mathematics of Money*, Fall 2011

This course is designed to provide a sound introduction to the uses of college level mathematics in personal finance applications. Topics include: simple interest, simple discount, compound interest, annuities, investments, retirement plans, taxes, credit cards, and mortgages.

Prerequisite: One unit of algebra or MATH 004**Technology Used:**ANGEL course webpage. On ANGEL I posted online lecture notes (in the form of PowerPoint slides), homework solutions, and grades in the ANGEL gradebook. I also communicated with students using ANGEL email. For screenshots, please visit my Course Web Spaces page.

- Math 220
*Matrices,*Spring 2011

This course serves as a general introduction to Linear Algebra for students majoring in engineering, mathematics, and the physical sciences. Topics include: systems of linear equations, matrix algebra, eigenvalues and eigenvectors, and linear systems of differential equations.

Prerequisite: MATH 110, MATH 140 or MATH 140H**Technology Used:**ANGEL course webpage. On ANGEL I posted online lecture notes, homework solutions, and grades in the ANGEL gradebook. I also communicated with students using ANGEL email. For screenshots, please visit my Course Web Spaces page.

- Math 017
*Finite Mathematics,*Fall 2010 and Spring 2013

This course introduces the foundations of modern mathematics through formal logic and set theory, and then discusses applications of these concepts in elementary probability theory.

Prerequisite: Two units of high school mathematics**Technology Used:**ANGEL course webpage. On ANGEL I posted online problem worksheets, homework solutions, and grades in the ANGEL gradebook. I also communicated with students using ANGEL email. For screenshots, please visit my Course Web Spaces page.

- Math 021
*College Algebra I*Summer 2010

This course introduces the algebraic methods of solving linear and quadratic equations; factoring polynomials; rational, exponential, and radical expressions; basic functions; and complex numbers.

Prerequisite: MATH 004 or satisfactory performance on the mathematics placement examination**Technology Used:**ANGEL course webpage. I posted grades in the ANGEL gradebook and communicated with students using the ANGEL email tool.

*In a supporting role as a Recitation Leader/Teaching Assistant*

- Math 220R
*Matrices,*Spring 2010

This course serves as a general introduction to Linear Algebra for students majoring in engineering, mathematics, and the physical sciences. Topics include: systems of linear equations, matrix algebra, eigenvalues and eigenvectors, and linear systems of differential equations.

Prerequisite: MATH 110, MATH 140 or MATH 140H**Technology Used:**ANGEL course webpage. - Math 471R
*Geometry for Teachers*, Spring 2010

Problem solving oriented introduction to Euclidean and non-Euclidean geometries; construction problems and geometrical transformations via "Geometer's Sketchpad" software. Intended primarily for those seeking teacher certification in secondary mathematics. Students who have passed MATH 427 may not schedule this course.

Prerequisite: MATH 311W**Technology Used:**ANGEL course webpage. As a Teaching Assistant, I worked with students on lab assignments in Geometer's Sketch Pad.