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Course Criteria
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3.00 Credits
This course is an investigation of our numeration system. The NCTM standards guide the course through an introduction to problem solving, sets, functions, ancient numeration systems, and place value. Next, a through examination of addition, subtraction, multiplication and division reveals why these operations behave the way they do and what interconnections exist between these operations. The counting numbers are extended to include negative numbers and the study of integer operation follows. In addition, the course addresses topics in number theory including the study of primes, divisibility, the LCM and GCF. Finally, the course examines fractions and the arithmetic of fractions at a deep level. Enrollment restricted to Elementary and Middle Education majors only. Every fall.
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3.00 Credits
This course begins with an investigation of decimals and the arithmetic of decimal numbers. Then, there is an examination of ratios, rates, and proportions, leading to percentages, uncertainty, and chance. This is followed by the study of basic statistics emphasizing measures of central tendency, variance, and ways of organizing data. Next, the study of geometry begins with examination of the basic shapes of one, two, and three dimensions and is followed by an investigation of the basic ways these shapes can be transformed: translation, reflection, and rotation. The study of basic measurement including length, area, surface area, and volume completes the content of this course. (Math. 101 is not a prerequisite for this course.) Enrollment restricted to Elementary and Middle Education majors only. Every spring.
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3.00 Credits
Properties of real numbers, linear equations and inequalities, quadratic equations, and inequalities, polynomial functions, exponential and logarithmic functions, algebraic functions, systems of linear equations. This course is taught primarily to prepare students for Business Calculus. Math. 105 does not fulfill the general education requirement in mathematics. Students with credit for Math. 116, 117, or 125 may not enroll in Math. 105. Every semester.
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3.00 Credits
This course will examine mathematical issues at a non-technical level. The course will emphasize conjecture and investigation by the students. The students will be expected to communicate mathematics through reading, writing, and presenting their mathematical ideas. Every spring.
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3.00 Credits
A study of elementary functions, their graphs and applications, including polynomials, rational and algebraic functions, exponential, logarithmic and trigonometric functions. This course is taught with graphing calculators. (Prerequisites: two years of high school algebra and one year of geometry.) Every fall.
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4.00 Credits
Limits and continuity of functions; the concept of derivative; calculating derivatives; applications of derivatives such as optimization and related rates; integration through the Fundamental Theorem. (Prerequisite: Math 116 or its equivalent.) Every semester.
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4.00 Credits
Applications of integration such as area, volume and arc length; techniques of integration and improper integrals; approximation of integrals; infinite sequences and infinite series. The course includes computer-based explorations. (Prerequisite: Math 117 or its equivalent.) Every spring.
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3.00 Credits
An introduction to topics involving discrete sets of objects. These include number systems, sets and their operations, propositional logic, quantification, algorithms, functions, recursion, relations, and graph theory. The course contains an introduction to proof methodology, including mathematical induction, based on the preceding topics. This course makes extensive use of the computer for exploration and discovery of the concepts. (Prerequisite: Math 116 or its equivalent.) Every fall.
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4.00 Credits
Applications of polynomial, rational, exponential, and logarithmic functions. Limits, derivatives, and integrals with applications to business and economics. (Prerequisite: Math. 105 or equivalent.) Every semester.
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4.00 Credits
Descriptive statistics: graphical representation and numerical summaries of data. Elementary probability. Basic concepts of sampling and experimental design. Linear correlation and regression. Interval estimates and hypothesis testing, including chi-square and ANOVA. Two years of high school algebra and one year of high school geometry, or their equivalent, are strongly recommended as preparation for this course. Every semester.
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