New Maple T.A. Content Center Additions

Introductory Mathematical Economics

University of Guelph — Tue, 20 Nov 2012 05:00:00 Z

The material in this module is designed to cover a single-semester course in mathematical economics for economics and commerce students at the second-year university level. The questions are designed to span the topics listed below, allowing for practice, homework or testing throughout the semester.

Topics:

Rules of Differentiation
First Order Differential Equations
Higher Order Derivatives
Optimization in One Variable
Second Order Conditions for Optimization
Systems of Linear Equations
Optimization with Direct Restrictions on Variables
Over Determined and Under Determined Systems
Matrix Representation of Systems
Gauss Jordan
Matrix Operations
Types of Matrices
Determinants and Inverses
Partial Differentiation
Second Order Partial Derivatives
Multivariate Optimization
Second Order Conditions for Multivariate Optimization
Multivariate Optimization with Direct Restrictions of Variables
Constrained Optimization and the Lagrangean Method
Second Order Conditions for Constrained Optimization

The vast majority of the questions are algorithmic and take numeric or algebraic responses. Dynamically labelled diagrams are included where appropriate. Information fields are included on all questions indicating topics and difficulty level.

The module was first implemented in Winter 2012 at the University of Guelph and subsequently used in Summer 2012 for the distance education version of the course, and has seen a several rounds of updates.

168 questions. Sample homework assignments are provided, spanning the course material.

Introductory Electricity & Magnetism

University of Guelph — Tue, 20 Nov 2012 05:00:00 Z

The material in this module is designed to cover a single-semester course in electricity and magnetism for physical sciences students at the first-year university level. The questions are designed to span the topics listed below, allowing for practice, homework or testing throughout the semester. Using the Maple engine that is part of Maple TA, a custom grading engine has been developed to provide even more flexible grading of scalar and vector responses. This partial grading engine can be configured to, among other things, assign part marks for missing units, transposed or missing vector components or missing algebraic terms.

Topics:

Cross Products
Coulomb’s Law
Electric Fields
Point Charge Distributions
Continuous Charge Distributions (Integration)
Electric Potential
Electric Potential Energy
Electromotive Force
Resistance
Capacitance
Kirchhoff’s Laws
Magnetic Fields
Magnetic Fields Due to Current Carrying Wires
Forces on Wires in Magnetic Fields
Forces on Charges in Electric and/or Magnetic Fields
EM Waves
Two Source Interference
Double Slit Interference
Single Slit Diffraction
Diffraction Gratings

The vast majority of the questions are algorithmic and take numeric or algebraic responses. Solutions are provided for most questions. Dynamically labelled diagrams are included in many questions. Information fields are included on all questions indicating topics and difficulty level. Questions that use the custom grading engine also provide detailed feedback about how the grade was calculated.

The module was first implemented in Winter 2012 at the University of Guelph and has seen a subsequent round of updates.

181 questions. Sample homework assignments are provided, spanning the course material.

Sample questions can be seen the preview document.

Introductory Calculus

Prof. Douglas Quinney — Tue, 20 Nov 2012 05:00:00 Z

These questions are designed to accompany the first semester of an introductory honours calculus course. The course is intended primarily for students who need or expect to pursue further studies in mathematics, physics, chemistry, engineering and computer science. With over 250 question, topics include: basic material about functions, polynomials, logs and exponentials, the concept of the derivative, and lots of practise exercises for finding derivatives and integrals, and material about series.

This material has been used at the Keele University, UK for 5 years, and was used by approximately 150 students each time. This updated version incorporates some improvements and minor corrections found during previous use.

Computer Algebra and Arithmetic