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Course Criteria
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3.00 Credits
Exponential and logarithmic functions, transformations of functions; trigonometric identities. Prerequisite: placement exam. Note: credit for this course may not be used to satisfy the minimum credit requirement for graduation.
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3.00 Credits
Foundations of algebra: exponents, multiplication of algebraic expressions, factoring algebraic expressions, working with algebraic fractions, proportionality, rates of change, equation of a line, completing squares, the quadratic formula, solving equations, systems of linear equations, inequalities, domain and range of functions, exponential and logarithmic functions, compositions, transformations of functions, right triangles, trigonometry of triangles. Prerequisite: placement exam. Note: credit for this course may not be used to satisfy the minimum credit requirement for graduation.
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3.00 Credits
Library of Functions: functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rule, the chain rule, applications of the chain rule, maxima and minima, optimization. MA 1324 is designed for students who wish to take MA 1024 but need more review of precalculus. MA1324 covers the same material as MA1024 but with more contact hours a week, incorporating a full discussion of the required precalculus topics. Prerequisite: Placement Exam or MA 0912 or MA 0914.
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3.00 Credits
Limits, definition of the derivative, differentiation rules for power, polynomial and trigonometric functions, applications of the chain rule and introduction to optimization. This Calculus I course provides an in-depth review of precalculus. Prerequisite: Placement exam or Equivalent.
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3.00 Credits
Management Science - Euler Circuits, Hamiltonian Circuits, Traveling Salesman Problem, Scheduling Tasks; Coding Information - Zip Codes, Bar Codes, Binary Codes, Cryptography; Social Choice and Decision Making - Elections with only two alternatives, three or more alternatives, weighted voting systems; Fair Division - The Adjusted Winner Divorce Procedure, Cake- Division schemes; Consumer Finance Models - Models for savings, arithmetic and geometric growth, compound interest, the number e. Note: this course applies only to the LS degree. Credit for this course may not be used to satisfy the minimum credit requirement for graduation.
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3.00 Credits
Definite integrals, theorems about integrals, anti-derivatives, second fundamental theorem of calculus, techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series. MA 1424 is designed for students who wish to take MA 1124 but need more review of precalculus. MA 1424 covers the same material as MA 1124 but with more contact hours a week, incorporating a full discussion of the required precalculus topics. Prerequisites: For MA 1124: MA 1024 or MA 1324; for MA 1424: MA 1324 or MA 1322 or MA 1024 or MA 1022. Note: credit for this course may be used to satisfy the minimum credit requirement for graduation.
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3.00 Credits
Parametrized family of curves. Elementary Numerical Analysis. Introduction to differential equations. Solution of first and second order linear differential equations with constant coefficients. Use of mathematical software to solve differential equations. Fourier series. Prerequisite: AP credit or transfer credit for Calculus I and II.
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3.00 Credits
Using the first and second derivative, optimization problems, antiderivatives, fundamental theorem of calculus, techniques of integration, logarithmic and exponential functions, numerical methods of integration, applications of integration, introduction to differential equations, introduction to series. This Calculus II course provides an in-depth review of precalculus. Prerequisite: MA 1054. Note: Course required only for special Majors.
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3.00 Credits
4:0:2:2 Antidifferentiation, the definite integral, integration by substitution, The Fundamental Theorem of Calculus, Area between curves, average value, integration by parts, introduction to differential equations, improper integrals, numerical integration. Prerequisite: MA 1054 or MA 1152.
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3.00 Credits
Introduction to vector concepts. Linear transformations. Matrices and Determinants. Characteristic roots and eigenfunctions. Prerequisite: MA 1124 or equivalent.
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