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MATH 225: Calculus I
4.00 Credits
Slippery Rock University of Pennsylvania
This course begins the study of calculus of functions of one variable. Students will study limits and continuity of real-valued functions. Students will explore the derivative as a rate of change and learn how to calculate derivatives of algebraic and transcendental functions. Applications of the derivative to various physical and other phenomena will be considered. This course also provides an introduction to Riemann integration.
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MATH 225 - Calculus I
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MATH 230: Calculus II
4.00 Credits
Slippery Rock University of Pennsylvania
This course continues the study of calculus of real-valued functions of one variable. Students will learn various techniques of evaluating antiderivatives and approximating definite integrals. These integrals will be used in various applications such as calculating areas and volumes, arc length, work, and solving simple first-order differential equations. Parametric and polar equations and their differential and integral calculus are also considered. Students will also investigate sequences and series, their convergence properties, and the use of power series to represent functions.
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MATH 230 - Calculus II
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MATH 231: Calculus III
4.00 Credits
Slippery Rock University of Pennsylvania
This course continues the study of calculus with the study of functions of several variables. Students will learn about the geometry of two- and three-dimensional space, vector-valued functions, and functions of several variables. Students will investigate these functions with partial derivatives and multiple integration. Vector calculus topics such as Greens, Stokes, and the Divergence Theorems will be covered. Computer software such as Mathematica will be used in problem solving in this course.
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MATH 231 - Calculus III
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MATH 232: Linear Algebra
3.00 Credits
Slippery Rock University of Pennsylvania
In this class, students will learn techniques for solving systems of linear equations and related matrix equations. Vectors and vector spaces will be considered along with properties relating to solving matrix equations. In particular, special care will be taken with real vector spaces and inner product spaces, and how they are used to solve problems with applications in physics and other fields. The eigenvalue/eigenvector problem will also be discussed. Students will be expected to use technology to solve problems in this class.
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MATH 232 - Linear Algebra
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MATH 235: Foundations of Mathematical Proof
3.00 Credits
Slippery Rock University of Pennsylvania
This course provides a foundation for writing mathematical proofs. Students will work with common proof techniques such as direct proof, proof by contrapositive, proof by contradiction, and proof by induction, along with the logical bases supporting them. In developing their proof-writing skills, students will work with foundational mathematical concepts such as basic set theory, relations between sets, and functions.
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MATH 235 - Foundations of Mathematical Proof
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MATH 240: Linear Algebra and Differential Equations
3.00 Credits
Slippery Rock University of Pennsylvania
Computational aspects of matrices, determinants, systems of linear equations, vector spaces, linear dependence, Wronskian, characteristic values, elementary differential equations, separable and exact equations, linear differential equations with constant coefficients.
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MATH 240 - Linear Algebra and Differential Equations
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MATH 280: Theory of Interest
3.00 Credits
Slippery Rock University of Pennsylvania
A rigorous, calculus-based treatment of the theory of interest, including simple and compound interest/discount, continuous force of interest, time value of money, annuities, yield rates, loan repayment, amortization schedules, bonds, yield curves, duration, convexity, immunization techniques, and practical applications. This course is intended to prepare students for the actuarial examination on the theory of interest.
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MATH 280 - Theory of Interest
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MATH 281: Actuarial Exam Preparation I
1.00 Credits
Slippery Rock University of Pennsylvania
The purpose of this course is to prepare students for The Society of Actuaries'' (SOA) first professional examination. Topics will be selected from the SOA syllabus which currently includes general probability theory, univariate and multivariate probability distributions (discrete and continuous), applications involving insurance and risk analysis, and supporting topics from Calculus.
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MATH 281 - Actuarial Exam Preparation I
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MATH 282: Actuarial Exam Preparation II
1.00 Credits
Slippery Rock University of Pennsylvania
The purpose of this course is to prepare students for The Society of Actuaries'' (SOA) second professional examination. Topics will be selected from the SOA syllabus which currently includes time value of money, yield rates, methods of loan repayment, annuities, asset/liability management, immunization, duration, convexity, bonds, stocks, mutual funds, capital budgeting, short sales, spot and forward rates, options, derivatives, futures, and arbitrage.
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MATH 282 - Actuarial Exam Preparation II
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MATH 290: Experimental
1.00 - 3.00 Credits
Slippery Rock University of Pennsylvania
A unique and specifically focused course within the general purview of a department which intends to offer it on a "one time only" basis and not as a permanent part of the department's curriculum.
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MATH 290 - Experimental
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