Page 249 - University Bulletin

MATH211 Business Calculus
Credits: 3 (3,0,0) Prerequisites: MATH101
An introduction to the basic concepts of differential and integral calculus for those studying
business majors. Topics include limits; continuity; differentiation and integration of polynomial,
rational, logarithmic, and exponential functions, partial derivatives, optimization, and the calculus
of several variables with business applications.

MATH215 Engineering Mathematics
Credits: 3 (3,1,0) Prerequisites: MATH113
The first part of the course deals with functions of several variables and their partial derivatives,
double and triple integrals in different coordinates. The second part deals with Vectors in 2- Space
and 3-Space, Vector spaces, Inner Product Spaces, Eigenvalues and Eigenvectors, and linear
transformations.

MATH221 Numerical Analysis
Credits: 3 (3,1,0) Prerequisites: MATH113
The course focuses on a broad range of concepts and tools of numerical analysis. Items covered
include: computational methods for nonlinear equations, systems of linear equations,
interpolation, numerical differentiation and integration, numerical solution of ordinary
differential equations. In the process, students will develop a strong working knowledge of
software packages like Matlab, which are integrated technical computing environments that
combine numeric computation.

MATH223 Linear Algebra
Credits: 3 (3,1,0) Prerequisite: MATH117 (Software Engineering: MATH113)
This course covers linear algebra techniques including matrices, determinants, systems of linear
equations, vector spaces, eigenvalues, and eigenvectors. It also explores linear transformations
and their applications.

MATH225 Differential Equations
Credits: 3 (3,1,0) Prerequisites: MATH113
This course introduces students to various topics in the concept of differential equations. Topics
include: techniques for solving first order differential equations (separable equations, exact
equations, integrating factors); homogeneous and general second order linear equations; higher
order linear equations; power series solutions; the Laplace transform and applications in science
and engineering; Elementary partial Differential Equations; Laplace’s Equation; the Heat Equation;
and the wave equation.

MATH229 Multivariable Calculus
Credits: 3 (3,0,0) Prerequisite: MATH117
This advanced course delves into the intricate realms of multivariable calculus and series analysis,
equipping students with a deeper understanding of mathematical functions and their behavior.
Throughout the course, students will explore a range of topics, including functions of several
variables, limits, continuity, and partial differentiation. The curriculum also encompasses the
study of double and triple integrals, providing students with robust tools for solving complex
mathematical problems in multidimensional space. Additionally, students will delve into the
fascinating world of sequences and series, mastering various methods of convergence and
divergence analysis, including power series representations of functions. A significant focus will
be placed on the concept of the Maclaurin and Taylor series, enabling students to expand
functions into infinite series and approximate functions with remarkable precision.

237 PSU UNDERGRADUATE BULLETIN