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MTH 118: Mathematics for Artists
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: Satisfactory score on mathematics placement exam Relationships between fine art and mathematics, with an emphasis on understanding geometric patterns and concepts. Topics include art-related examples and hands-on experiences which give basic mathematical background for future artistic students’ endeavors.
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MTH 119: Math and Music
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: Minimal ability to read music; satisfactory score on mathematics placement exam Topics which emphasize and explore the close connection between mathematics and music. Historical connections will be studied, as well as the mathematics behind acoustics, rhythm, and 20th century music, and mathematical theories of randomness, leading to fractal music and fractal noise. The mathematical structures behind non-Western musical theories such as pentatonic and quarter-tone scalings, and polyrhythms will be explored.
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MTH 119 - Math and Music
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MTH 120: Quantitative Reasoning
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: Satisfactory score on mathematics placement exam Fundamentals of quantitative literacy including inductive-deductive reasoning, paradoxes, and problem-solving strategies. Numeracy including estimation, scaling, uncertainty, and infinity will be discussed. Rate of change, linear and exponential models will be explored. Applications of quantitative reasoning to the social sciences will be emphasized.
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MTH 121: Women in Mathematics
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: Satisfactory score on mathematics placement exam Developing math literacy through a study of the lives and work of notable women mathematicians. Six women mathematicians, from Hypatia to Emmy Noether, are discussed at length, with emphasis on obstacles faced and equity issues. The fields in which they worked are introduced along with sample problems. Topics include conic sections, Diophantine equations, Fibonocci sequences, partial differential equations, and other concepts. As a final project, students are expected to research an additional notable woman mathematician and present her work and life.
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MTH 127: Evolution of Mathematical Language
3.00 Credits
University of Massachusetts-Dartmouth
Eratosthenes measured the earth without encircling it more than two thousand years ago.& Elementary mathematics will be used to rediscover Eratosthenes and other human giants’ methods in measuring the distance from Earth to the moon, the sun or other heavenly stars, to find out the precise orbit of Mars, and to prove that the planets (including Earth) do accelerate towards the sun.& Philosophy and the foundation of principles in science will be discussed, such as quantitative verses, qualitative principles and the discovery that Nature is written in the language of mathematics.
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MTH 131: Pre-calculus
3.00 Credits
University of Massachusetts-Dartmouth
This course is designed to provide students with the precalculus background necessary for MTH 111 or MTH 105. The course covers topics in algebra, trigonometry and finite mathematics.
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MTH 131 - Pre-calculus
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MTH 181: Introduction to Discrete Structures I
3.00 Credits
University of Massachusetts-Dartmouth
Review of set algebra including mappings and relations, algebraic structures including semigroups and groups. Elements of the theory of directed and undirected graphs. Boolean algebra and propositional logic. Applications of these structures to various areas of computers.
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MTH 181 - Introduction to Discrete Structures I
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MTH 182: Introduction to Discrete Structures II
3.00 Credits
University of Massachusetts-Dartmouth
Review of set algebra including mappings and relations, algebraic structures including semigroups and groups. Elements of the theory of directed and undirected graphs. Boolean algebra and propositional logic. Applications of these structures to various areas of computers.
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MTH 182 - Introduction to Discrete Structures II
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MTH 196: Directed Study
3.00 Credits
University of Massachusetts-Dartmouth
Conditions and hours to be arranged Prerequisites: Permission of the instructor, department chairperson, and college dean Study under the supervision of a faculty member in an area covered in a regular course not currently being offered.
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MTH 203: Technical Calculus II
3.00 Credits
University of Massachusetts-Dartmouth
Continuation of MTH 106.& Topics include conic sections, polar coordinates, functions of two variables, partial differentiation, multiple integration and infinite series.
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MTH 203 - Technical Calculus II
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