PPT-22C:19 Discrete Math

Sequence and Sums Fall 2011 Sukumar Ghosh Sequence A sequence is an ordered list of elements Examples of Sequence Examples of Sequence Examples of Sequence Not all sequences are arithmetic or geometric sequences. http://www.ipracticemath.com iPracticeMath provides free online math practice help, worksheets and games. You can also practice math problem for 4th,5th,6th,7th,8th,9th grade. http://www.ipracticemath.com iPracticeMath was an idea stemming from a group of innovative Engineers that were not only Masters of Science and Technology but possessed a passion to take their knowledge and make it accessible, understandable and fun for all ages, grades, and student’s skillsets. http://www.ipracticemath.com iPracticeMath was an idea stemming from a group of innovative Engineers that were not only Masters of Science and Technology but possessed a passion to take their knowledge and make it accessible, understandable and fun for all ages, grades, and student’s skillsets. Logic and Proof. Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . Induction and Recursion. Fall . 2011. Sukumar Ghosh. What is mathematical induction?. It is a method of proving that something holds.. Suppose we have an . infinite ladder. , and we want to know. if we . 1C. 1D. 2A. 2B. 2C. 2D. 3A. 3B. 3C. 3D. 4A. 4B. 4C. 4D. 5A. 5B. 5C. 6A. 6B. 6C. 7A. 7B. 7C. 8A. 8B. 8C. 9A. 9B. 9C. 10A. 10B. 10C. 11A. 11B. 11C. 12A. 12B. 12C. 13A. 13B. 13C. 14A. 14B. 14C. 15A. 15B. Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. Integers and Modular Arithmetic . Fall 2010. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the . Introductory Lecture. What is Discrete Mathematics?. Discrete mathematics is the part of mathematics devoted to the study of discrete (as opposed to continuous) objects.. Calculus deals with continuous objects and is not part of discrete mathematics. . 1C. 1D. 2A. 2B. 2C. 2D. 3A. 3B. 3C. 3D. 4A. 4B. 4C. 4D. 5A. 5B. 5C. 6A. 6B. 6C. 7A. 7B. 7C. 8A. 8B. 8C. 9A. 9B. 9C. 10A. 10B. 10C. 11A. 11B. 11C. 12A. 12B. 12C. 13A. 13B. 13C. 14A. 14B. 14C. 15A. 15B. Fall . 2011. Sukumar Ghosh. What is an algorithm. . A finite set (or sequence) of . precise instructions . for performing a computation. . . . Example: Maxima finding. . . procedure . max. (. Fall 2010. Sukumar Ghosh. Sample Space. DEFINITION. . The . sample space S . of an experiment is the set . of possible outcomes. An . event. . E. is a . subset. of the sample space.. What is probability?. Fall 2011. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the .