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MTH 105: Technical Calculus I
3.00 Credits
University of Massachusetts-Dartmouth
First semester of a four-term calculus sequence required of technology students and recommended for non-physical science majors desiring a basic introduction to analysis. The first term will review those topics from algebra and trigonometry needed in the sequel. Then the basic concepts of the differential calculus will be studied.
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MTH 105 - Technical Calculus I
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MTH 106: Technical Calculus II
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: MTH 105 Continuation of MTH 105. Further study of algebraic and transcendental functions of one variable and topics from the integral calculus of these functions.
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MTH 106 - Technical Calculus II
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MTH 107: Elements of College Mathematics
3.00 Credits
University of Massachusetts-Dartmouth
Elements of college mathematics in application to business, selected to emphasize interpretation and explanation and to de-emphasize computation.
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MTH 107 - Elements of College Mathematics
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MTH 109: Mathematical Problem Solving and Reasoning I
2.00 Credits
University of Massachusetts-Dartmouth
Basic mathematical problem solving and reasoning skills development. The course uses an intensive hands-on, problem-centered approach to develop mathematical thinking skills, frequently using computer software and group work. The course begins with simple thinking skills and mathematical ideas, and “what to do when you’re stuck” strategies. The goal is to develop strategies for solving hard problems and understanding complex or abstract ideas. This course is for students accepted into the START Program.
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MTH 109 - Mathematical Problem Solving and Reasoning I
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MTH 110: Mathematical Problem Solving and Reasoning II
3.00 Credits
University of Massachusetts-Dartmouth
Continuation of MTH 109; for START Program student.
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MTH 110 - Mathematical Problem Solving and Reasoning II
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MTH 111: Analytic Geometry and Calculus I
4.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: Trigonometry First semester of a four term sequence required of majors in mathematics, the physical sciences and engineering. Recommended for others desiring a thorough background in elementary analysis. Term 1 will cover topics in analytic geometry, the concepts of function and limit, continuity, differentiability and integrability of elementary algebraic and transcendental functions. Techniques of differentiation and applications will then be studied. First semester of a four term sequence required of majors in mathematics, the physical sciences and engineering. Recommended for others desiring a thorough background in elementary analysis. Term 1 will cover topics in analytic geometry, the concepts of function and limit, continuity, differentiability and integrability of elementary algebraic and transcendental functions. Techniques of differentiation and applications will then be studied.
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MTH 111 - Analytic Geometry and Calculus I
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MTH 112: Analytic Geometry and Calculus II
4.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: MTH 111 Continuation of MTH 111. Topics from the integral calculus, stressing techniques of integration (including numerical methods). Infinite series.
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MTH 112 - Analytic Geometry and Calculus II
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MTH 113: Calculus for Applied Science and Engineering I
4.00 Credits
University of Massachusetts-Dartmouth
Corequisites: EGR 101 Functions, limits, differentiation and integration of elementary algebraic and transcendental functions. Vectors, vector operations, vector fields and line integrals will be introduced. Technological tools an a computer algebra system will be used extensively throughout the course. This course, a version of MTH 111 for the integrated freshman year curriculum in engineering, may be repeated as MTH 111.
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MTH 113 - Calculus for Applied Science and Engineering I
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MTH 114: Calculus for Applied Science and Engineering II
4.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: MTH 113 or MTH 111 Corequisites: PHY 112, EGR 108 Continuation of MTH 113 or MTH 111. Techniques of integration, improper integrals, applications of integrals, series, polar coordinates and an introduction to differential equations. Selected topics from multivariable calculus will include partial differentiation, double and triple integrals, line integrals and flux. This course, a version of MTH 112 for the integrated freshman year curriculum in engineering, may be repeated as MTH 112.
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MTH 114 - Calculus for Applied Science and Engineering II
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MTH 117: Fractals and Chaos via Elementary Mathematics
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: Satisfactory score on mathematics placement exam The new science of chaos revealed through its fascinating history and stimulating examples. The connection will be demonstrated between such seemingly unrelated topics as weather and stock prediction, management and scientific decisions, the erratic motion of a pendulum and the delicate design of snowflakes, clouds, or the fjords of Sweden. Students will create their own fractals and play the chaos game using computer software, calculators, or even just pencil and paper.
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MTH 117 - Fractals and Chaos via Elementary Mathematics
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