Office: Goodrich 309
Office Hours: MWF 1:10 pm - 2:00 pm or by appointment/chance
Email: rosenbla@wabash.edu
Courses:
MAT 108 - Discrete Mathematics
MAT 223 - Linear Algebra
MAT 224 - Discrete Mathematics
Geogebra online graphing calculator
Geogebra 3D calculator
Wolfram Alpha computational engine
See the Wabash College Academic Bulletin for additional information
MAT 108 - Discrete Mathematics
Course Description: An introduction to discrete mathematics for students not planning to major in mathematics. Topics include sets and logic, proof methods, counting arguments, recurrence relations, graphs, and trees. This course may be used to meet the mathematics requirement for the computer science minor. However, it does not count toward the mathematics major or minor. Students may not present both MAT 108 and 219 for credit toward graduation.
MAT 111 - Calculus I
Course Description: This course studies the fundamentals of single-variable calculus, developing analytical and computational skills appropriate for students in quantitatively rigorous disciplines. Topics include limits, continuity, techniques of differentiation, applications of derivatives, the Mean Value Theorem, the Intermediate Value Theorem, the Fundamental Theorem of Calculus, and the method of substitution for integration.
In Spring 2024 I utilized standards-based grading for this course. In Fall 2024 I acted as coordinator across all four sections.
MAT 223 - Linear Algebra
Course Description: An introduction to linear equations and vector spaces. Topics include solving linear equations, matrix algebra, row operations, determinants, vector spaces, bases and dimension, linear transformations, eigenvalues and eigenvectors, and orthogonality. Optional topics include least squares problems, matrix factorization, and other applications. An important aspect of the course is to introduce the student to abstract thinking and proofs.
MAT 224 - Differential Equations
Course Description: An introduction to ordinary differential equations. Special solution techniques and some theory for first-order and linear equations including integrating factors, constant coefficients, undetermined coefficients, variation of parameters, power series solutions, Laplace transforms, and systems of differential equations with applications. This course is offered in the spring semester.
MAT 225 - Multivariable Calculus
Course Description: This course builds on the introduction to calculus in higher dimensions in MAT-112. Topics covered include limits, continuity, differentiability, directional derivatives, constrained and unconstrained optimization, geometry of curves, multiple integrals, general coordinate systems, path and surface integrals, vector calculus, theorems of Green and Stokes, and applications. This course is offered in the fall semester.
MAT 341 - Topology
Course Description: An introduction to point-set topology. Topics include topological spaces, continuous functions, product and quotient spaces, metric spaces, connectedness, and compactness.
MA 13700 - Math for Elementary Teachers I
Course Description: Designed for prospective elementary school teachers. Problem solving. Numerical reasoning including self-generated and conventional algorithms. Whole and fractional number systems, elementary number theory. This course approaches mathematics from a teacher and student perspective where students will be pressed to find multiple methods and explanations for situations, select and evaluate mathematical tasks and children’s approaches, and utilize manipulatives and models to give meaning to symbolic mathematics. Numerical reasoning including self-generated and conventional algorithms are also included in this course.
MA 13900 - Math for Elementary Teachers III
Course Description: Geometric, measurement and spatial reasoning in one, two and three dimensions as the basis for elementary school geometry. Metric and non-metric geometry, transformation geometry.
MA 15800 - Precalculus
Course Description: Functions, Trigonometry, and Algebra of calculus topics designed to fully prepare students for all first semester calculus courses. Functions topics include Quadratic, Higher Order Polynomials, Rational, Exponential, Logarithmic, and Trigonometric. Other focuses include graphing of functions and solving application problems.
MA 16010 - Applied Calculus I
Course Description: Topics include trigonometric and exponential functions; limits and differentiation, rules of differentiation, maxima, minima and optimization; curve sketching, integration, anti-derivatives, fundamental theorem of calculus. Properties of definite integrals and numerical methods. Applications to life, managerial and social sciences.
MA 16100 - Plane Analytic Geometry and Calculus I
Course Description: Introduction to differential and integral calculus of one variable, with applications.
In Fall 2015 and Spring 2017 I served as a recitation instructor for this course, meeting with students to answer questions on homework and the material from lectures. I also had responsibility for writing quizzes and maintaining grade records. In Summer 2021, I acted as co-instructor and course coordinator for this course, arranging office hours, writing exams for all sections, and alternating with one other TA to prepare and deliver lectures.
MA 16100 IMPACT - Plane Analytic Geometry and Calculus I (IMPACT section)
IMPACT is a campus-wide initiative - in the math department, students watched video lectures online, then met for weekly IMPACT sessions in which they worked in groups to delve more deeply into the material. My responsibilities in an IMPACT class included facilitating this group work, and also developing materials for and leading recitations in which the students could ask questions on subject material and homework.
MA 16200 - Plane Analytic Geometry and Calculus II
Course Description: Continuation of MA 16100. Vectors in two and three dimensions, techniques of integration, infinite series, conic sections, polar coordinates, surfaces in three dimensions.
I acted as co-instructor for this course in Summer 2017, alternating with one other TA to prepare and deliver lessons to our section. I also wrote and graded quizzes.
MA 16200 Impact - Plane Analytic Geometry and Calculus II (IMPACT section)
In spring 2020, this course transitioned to an online-only format mid-semester. During this time, I moderated a course-wide online discussion forum, and also continued developing materials and posting snippets to highlight details or motivations connected to each lesson for my own section.
MA 59800-504 - Bridge to Analysis Recitation
Course Description: Completeness of the real number system, basic topological properties, compactness, sequences and series, absolute convergence of series, rearrangement of series, properties of continuous functions, the Riemann-Stieltjes integral, sequences and series of functions, uniform convergence, the Stone-Weierstrass theorem, equicontinuity, and the Arzela-Ascoli theorem. Typically offered Fall.
MA 59800-544: Real Analysis Qualifying Exam Summer Preparatory Course
This course is intended for graduate students preparing to take the math department's qualifying exam in real analysis. My responsibilities included developing problem sets for use in reviewing the material from MA 54400 and leading class sessions to discuss strategies for approaching questions pertaining to the subject.
Math Resource Room Supervisor
I assisted students from MA 15300 (College Algebra), MA 15800 (Precalculus), MA 16010 (Applied Calculus I), and MA 16020 (Applied Calculus II), and ensured that MRR operations progressed smoothly.
Indiana Academic Standards in Mathematics
A Beauty Cold and Austere
An interactive fiction game about math, enjoyable whether you have a little math experience or a lot
Domino Logic Circuit video
SineRider
function transformation practice (with some complicated multivariable stuff and relationship lessons from ghosts thrown in)