HI 5005 Essential Mathematics for Biomedicine

Credit Hours: 3

The student will learn at the conceptual and operational levels the basic mathematical principles which are needed for Computational Biomedicine and Health informatics.  It will cover Calculus in one variable, elements of Linear Algebra and Probability. In addition the course will cover the application of mathematics to Computational Biomedicine and Health Informatics problems. This course will serve as a foundation for the math used in more advanced courses.

This class helps to meet the mathematics core competencies.

Topics

Calculus Basic Concepts: Numbers, Functions, Trigonometry (I)
Calculus Basic Concepts: Numbers, Functions, Trigonometry (II)
Functional Limit.
Continuity of Functions.
The Derivative:  Concept and  Definition.
The Derivative: Rules and Calculation.
The Integral:  Concept and Basic Calculation Rules (I)
Mid-term Exam.
The Integral:  Concept and Basic Calculation Rules (II)
Probability Theory:  Review.
Probability Theory:  Applications.
Linear Algebra: Vectors, Matrices, Determinants.
Linear Systems.
Matrix Eigenvalue Problems.
Review

Prerequisites

Permission of the Instructor. 
It is assumed that the Student has the Mathematical level of “Mathematics Made Simple”, by Thomas Cusik, Made Simple Books, 6th Edition, 2003.