LECTURE NOTES ON MATHEMATICAL INDUCTION PETE L. CLARK Contents 1. Introduction 2. The (Pedagogically) First Induction Proof 3. The (Historically) First(?) Induction Proof 4. Closed Form Identities 5. More on Power Sums 6. Inequalities 7. Extending binary properties to n-ary properties 8. Miscellany 9. The Principle of Strong/Complete Induction 10. Solving Homogeneous Linear Recurrences 11. The Well-Ordering Principle 12. Upward-Downward Induction 13. The Fundamental Theorem of Arithmetic
Premium Natural number Prime number Integer
Honey and Mumford Learning Styles Questionnaire This questionnaire is designed to find out your preferred learning style(s). Over the years you have probably developed learning habits that help you benefit more from some experiences than from others. Since you are probably unaware of this‚ this questionnaire will help you pinpoint your learning preferences so that you are in a better position to select learning experiences that suit your style. There is no time limit to this questionnaire.
Premium Learning styles
My Personality and Learning Style My personality type is ISTJ which is introverted‚ sensor‚ thinker‚ and judger. Introverted people are more likely to be reserved‚ private and more likely to work alone than with groups. Social events are not a strong characteristic of an introvert which prefers to be in a calm quiet location with relatives and solitude. Sensor’s tend to prefer problems with a set of guidelines that state facts of data directly and learn through example or experience
Free Psychology Education Personality psychology
three mentioned ways of learning patterns‚ they portrayed auditory learners as the best listeners‚ and usually reads out loud which help them recall what they read. People with a “Kinesthetic” learning pattern are usually hands on‚ they are described as the people who will take things apart and put them back together in order to recall what they learned. They are also very fond of using body gestures when they talk. “Visual” was also mentioned as one of the main learning patterns‚ people who fall
Free Psychology Knowledge
The Kolb Learning Style Inventory—Version 3.1 2005 Technical Specifications Alice Y. Kolb Experience Based Learning Systems‚ Inc. David A. Kolb Case Western Reserve University May 15‚ 2005 Abstract The Kolb Learning Style Inventory Version 3.1 (KLSI 3.1)‚ revised in 2005‚ is the latest revision of the original Learning Style Inventory developed by David A. Kolb. Like its predecessors‚ KLSI 3.1 is based on experiential learning theory (Kolb 1984) and is designed to help individuals identify the way
Premium Learning styles Educational psychology Learning
Mathematical Happenings Rayne Charni MTH 110 April 6‚ 2015 Prof. Charles Hobbs Mathematical Happenings Greek mathematicians from the 7th Century BC‚ such as Pythagoras and Euclid are the reasons for our fundamental understanding of mathematic science today. Adopting elements of mathematics from both the Egyptians and the Babylonians while researching and added their own works has lead to important theories and formulas used for all modern mathematics and science. Pythagoras was born in Samon Greece
Premium Mathematics Pythagorean theorem Geometry
Learning Styles GEN/105 Learning Styles The student completed the “Multiple Pathways to Learning” assessment‚ and the result was logical-mathematical (Carter‚ Bishop‚ & Kravits‚ 2007‚ p. 41). The student also completed the “Personality Spectrum‚” and the result was organizer (Carter‚ et.al.‚ 2007‚ p. 46). Through their descriptions these two results coincide with each other. Both describe a person that is organized‚ understands material logically and sequentially. Study Techniques
Premium Education Educational psychology Psychology
Mathematical Programming: An Overview 1 Management science is characterized by a scientific approach to managerial decision making. It attempts to apply mathematical methods and the capabilities of modern computers to the difficult and unstructured problems confronting modern managers. It is a young and novel discipline. Although its roots can be traced back to problems posed by early civilizations‚ it was not until World War II that it became identified as a respectable and well defined body of
Premium Optimization Linear programming Operations research
The different learning styles and how they apply to me. It is strange to me to think of learning as having different styles. In this essay‚ something that will be discussed is the different types of learning styles and how they apply to me or anyone else for that matter. Learning as we grow seems so fundamental and that there is not much to it. We learn as we go and as we grow. In our learning process‚ we do not take too much into account that we are developing a style of learning. Some of us had
Premium Education Psychology Educational psychology
A Review of Multimodal Learning Style and Strategies The multimodal learning style is highly adaptive and is the most common type of learning style. It can encompass a strong preference two or more of the styles‚ or an equal preference for all of the 4 learning styles: aural‚ visual‚ read/write and kinesthetic. According to Fleming‚ students who prefer the multimodal learning style tend to fall into two categories: the context specific approach and the whole-sense approach. (Fleming‚ 2011‚ para
Premium Kinesthetic learning Learning Learning styles