Mathematics and Engineering

Mathematics and Engineering

 

Engineering Mechanics 201 - Statics
Prerequisite: Physics 201and Math 104

A one-semester course in rigid-body mechanics, emphasizing the principles of equilibrium condition. Also included are the vector treatment of force systems, friction and engineering applications.
Three hours per week; three semester-hours credit.

 

Math 099-Developmental Math

In this course students study mathematical operations with whole numbers and fractions, decimal to fractional equivalents, square roots, ratios and proportion, and the Real Number System. The course concludes with an introduction to the solving of equations in a single variable.
Three hours per week; three semester hours-credit.
Credit hours do not satisfy graduation requirements.

 

Math 100 – Elementary Algebra
Prerequisite: MA 099 / High School Algebra / Placement

This course is designed for students in non –technical majors as a preparation for Statistics. Beginning with an exploration of the concepts of elementary algebra, including a review of the Real Number system, the course presents concepts of linear equations, properties of and operations with exponents and polynomials and factoring. Different methods of solving quadratic equations are presented, including the Quadratic Formula. A major emphasis of this course is the understanding and interpretation of functions by graphical means.
Three hours per week, plus one problem-solving laboratory per week; three semester hours credit.
Credit hours do not satisfy graduation requirements. This course cannot be taken if you have already taken MA102 or higher.

 

Math 101 - College Algebra
Prerequisite: MA 099/High School Algebra/Placement Exam

This course is designed for students who intend to pursue business or technical majors, and is the first in a series of math courses leading through Trigonometry and Pre-Calculus, terminating in Calculus. Starting with a short review of solving equations in a single variable, the course proceeds with a study of the solutions of systems of equations, operations with polynomials, quadratics, rational expressions, radicals and complex numbers. This course cannot be taken if you have already taken MA102 or higher.
Three hours per week, plus one problem-solving laboratory per week; three semester-hours credit.

 

Math 102 - Trigonometry
Prerequisite: MA 101/Instructor’s permission

An introductory course in trigonometry beginning with a review of algebra topics. The course continues with trigonometry topics including radian and degree measure, the trig functions and their inverses and graphing of trig functions. Advanced topics include the Laws of Sine and Cosine, trig identities, addition/subtraction and multiple angle formulae and their application in solving trigonometric equations.
Three hours per week, plus one problem solving laboratory per week; three semester-hours credit.

 

Math 103 - Pre-Calculus
Prerequisite: Math 101 & Math 102, Placement Exam/Instructor’s permission

The course opens with a review of properties of exponents and continues with the study of polynomials and exponential and logarithmic functions. A short review of trigonometric functions and identities is then conducted. At the conclusion of this review, vectors and Dot products are presented, followed by a thorough examination of conic sections and polar coordinate systems.
Four hours per week; four semester-hours credit.

 

Math 104 - Calculus I
Prerequisite: Mathematics 103; Placement Test

This one semester course opens with a review of Pre-calculus functions and graphs. It progresses to a treatment of limit theory as the foundation for a fundamental understanding of differentiation. The rules of differentiation are thoroughly explored as the cornerstone of the numerous applications of the derivative in the real world. With an understanding of the derivative’s role, discussion shifts to the anti-derivative, where fundamental antiderivative (integration) concepts and techniques are investigated. The course concludes with an exposure to differentiation and integration techniques of the logarithmic and exponential functions.
Four hours per week; four semester-hours credit.

 

Math 112 - Statistics
Prerequisite: MA 100

A one semester non-calculus based course providing a serious introduction to modern statistics for general college audiences. The course is designed to help students think about data and use statistical methods. Course content includes distributions, emphasizing normal distributions, interpreting scatter plots, linear and exponential growth, correlation coefficient, design of experiments and sampling distributions, probability, random variables, probability distributions, binomial distributions, sample means and control charts. Problem solving using real life data experiments and simulations is emphasized. This course cannot be taken if you have already taken MA102 or higher.
Three hours per week; plus one problem solving laboratory per week; three semester-hours credit.

 

Math 201 - Calculus II
Prerequisite: Mathematics 104

This one-semester course commences with an in-depth review of the fundamental rules of differentiation and integration. It continues with a comprehensive exploration of derivatives and integrals of logarithmic and exponential functions, inverse trigonometric functions, and the hyperbolic functions. Applications of the integral are covered to include: the volume and surface area of solids of revolution, arc length of curves, work, fluid pressure and movements and centroids. The course then transitions to an indepth study of advanced integration techniques and the techniques used to evaluate limits of indeterminate form and the evaluation of improper integrals. The course concludes with an introduction to sequences and infinite series.
Four hours per week; four semester-hours credit.

 

Math 202 - Calculus III
Prerequisite: Mathematics 201.

This one-semester course commences with the study of sequences and infinite series to include Taylor and MacLaurin Series. It then moves to the study of conics, parametric equations and polar coordinates followed by an examination of vectors and the geometry of space. Vector-valued functions are studied next and then functions of several variables to include the topics of partial derivatives and multiple integration.
Four hours per week; four semester-hours credit.

The Military College Of Pennsylvania