# 205 math exam

The Nature of Mathematics. Offered fall and spring. Topics such as geometry, computing, algebra, number theory, history of mathematics, logic, probability, statistics, modeling and problem solving intended to give students insight into what mathematics is, what it attempts to accomplish and how mathematicians think. The topics for this course are both mathematical and contextual: Topics are chosen from sets, counting methods, mathematical systems, basic rules of probability, statistics, logic, finance, geometry, numeration systems and modeling. This course has 2 parts. Successful completion of Part 1 is required for entry into Part 2. Open only to students in the developmental math program. Applications of finite mathematics: Mathematics or GenEd I. Problem solving, systems of numeration, development of numeration systems through rational numbers, arithmetic properties, operations, and algorithms, number theory, and the effective use of manipulative materials and educational technology.

Proportional reasoning, algebra, and statistics and data analysis with probability concepts through statistical investigations. Appropriate technology is integrated throughout. Elements of differential and integral calculus from an intuitive standpoint with emphasis on the use of calculus in 205 math exam above fields.

Exponential and logarithmic functions, partial derivatives included. Not open to mathematics majors or minors. These topics will be investigated through a variety of models, representations, and contexts, as well as through solving non-routine problems.

Content areas of focus include proportional reasoning, expressions and equations, functions. Intended only for students who transfer a basic statistics course without a computer lab component. Practical applications of statistics.

## Improving results

The course integrates activities using the graphing calculator and an inquiry-based computer learning environment. Descriptive statistics, estimation techniques, hypothesis testing, analysis of enumerative data, one-way analysis of variance, and simple linear regression and correlation analysis.

Geometric vocabulary, relationships, concepts and skills, including properties and classification of two- and three-dimensional shapes; transformations and symmetry; and measurement.

Appropriate geometric tools and technology are integrated throughout. Also included is the pedagogy of using the van Hiele Model of Geometric Thought. Focuses on the van Hiele Model for Geometric Thought, an introduction to logical reasoning through inductive and deductive methods, and geometric proofs.

Four lecture hours and one laboratory hour per week. Four lecture hours and one laboratory hours per week. Topics will be covered in more depth and detail than in Calculus II.

## Exam Information

Several extended projects on related material will be given. Techniques of problem solving and the solution of challenging problems involving elementary mathematics, such as probability, number theory, graph theory, and counting.

Qualified students will usually take this course during their freshman or sophomore year. Major credit only toward Secondary Education concentration.

No credit toward a mathematics major.

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