computer mathematics syllabus
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Math 350 – Introduction to Computational Mathematics
Syllabus Math 350 – Introduction to Computational Mathematics Course Description from Bulletin: Study and design of mathematical models for the numerical solution of scientific problems This includes numerical methods for the solution of linear and nonlinear systems basic data fitting problems and ordinary differential equations |
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INTRODUCTION TO COMPUTATIONAL MATHEMATICS
Mathematics The goal of computational mathematics put simply is to find or develop algo-rithms that solve mathematical problems computationally (ie using comput-ers) In particular we desire that any algorithm we develop fulfills four primary properties: • Accuracy An accurate algorithm is able to return a result that is nu- |
What topics are covered in a computer science course?
Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; … 6.042 course logo. (Image by Will Drevo. Used with permission.) This course covers elementary discrete mathematics for computer science and engineering.
What are the prerequisites for a computer science degree?
The prerequisite is 18.01 Single Variable Calculus. In particular, some familiarity with sequences and series, limits, and differentiation and integration of functions of one variable are necessary. Upon completion of 6.042J, students will be able to explain and apply basic methods of discrete (noncontinuous) mathematics in computer science.
What is a mathematics course?
Course Description from Bulletin: Study and design of mathematical models for the numerical solution of scientific problems. This includes numerical methods for the solution of linear and nonlinear systems, basic data fitting problems, and ordinary differential equations.
What should students know about computational mathematics?
Students should have learned what computational mathematics is about: designing algorithms to solve scientific problems that cannot be solved exactly; investigating the robustness and the accuracy of the algorithms and/or how fast the numerical results from the algorithms converge to the true solutions.
Introduction
This subject offers an introduction to discrete mathematics oriented toward computer science and engineering. The subject coverage is divided into three parts: 1. Fundamental concepts of mathematics: Definitions, proofs, sets, functions. 2. Discrete structures: Elementary number theory, graphs, counting. 3. Discrete probability theory. ocw.mit.edu
Prerequisite
The prerequisite is 18.01 Single Variable Calculus. In particular, some familiarity with sequences and series, limits, and differentiation and integration of functions of one variable are necessary. ocw.mit.edu
Objectives
Upon completion of 6.042J, students will be able to explain and apply basic methods of discrete (noncontinuous) mathematics in computer science. They will be able to use these methods in subsequent courses in the design and analysis of algorithms, computability theory, software engineering, and computer systems. In particular, students will be able
Learning Outcomes
At the end of this course, students will be able to: 1. Use logical notation to define and reason about fundamental mathematical concepts such as sets, relations, functions, and integers. 2. Evaluate elementary mathematical arguments and identify fallacious reasoning (not just fallacious conclusions). 3. Synthesize induction hypotheses and simple i
Team Problem Solving
6.042J is taught as a “flipped” class: Students prepare by doing assigned reading and answering online questions before class. Class meeting time is then devoted almost entirely to problem solving in teams of 6 to 8 students sitting around a table with a nearby whiteboard where a team can write their solutions. Participation in team sessions counts
Problem Sets
Problem sets count for 15% of the final grade. Making a reasonable effort on the problem sets is, for most students, crucial for mastering the course material. Problem sets are designed to be completed in at most 3 hours; the time is monitored through student reports. ocw.mit.edu
Online Feedback Problems
Online problems to be completed before most class meetings are posted on the class website. These consist of straightforward questions that provide useful feedback about the assigned material. Some students prefer to try the online problems before reading the text or watching videos as an advance guide to going over the material; that’s fine. Watch
Collaboration
You are encouraged to collaborate on problem sets as you do on teams in class. However, you must cite all your collaborators and any sources beyond this term’s class materials that you consulted while working on a problem—for example, an “expert” consultant other than 6.042J staff, or another text—must be given a proper scholarly citation, which yo
Midterm Exams
Three 80 minute midterm exams will be given. The midterm exams each count for 10% of the final grade. Midterm questions will typically be variations of prior problems from class and psets, and the best way to prepare is to review on the published solutions to these problems. The first exam covers all previous weeks’ material; subsequent exams focus
Final Exam
There will be a three hour final exam. This exam is worth 25% of the final class grade. The final exam will cover the entire subject with somewhat greater emphasis on material from after Midterm 3. Most exam questions will be variants of problems assigned during the term (pset, class, midterm, and online). It may include a few questions which combi
Lec 1 MIT 6.042J Mathematics for Computer Science Fall 2010
Mathematics for Computer Science (Full Course)
Lec 2 MIT 6.042J Mathematics for Computer Science Fall 2010
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Math 350 – Introduction to Computational Mathematics
Students should have learned what computational mathematics is about: Syllabus prepared by: Greg Fasshauer Fred Hickernell and Dietmar Rempfer. |
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REVISED SYLLABUS 2019-2020
Computational mathematics combines mathematics with computer science to produce useful techniques. The syllabus would cover relevant areas which are in. |
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Proposed Syllabus for B.A. Program with Computer Applications
10-Jul-2015 b) Delete the record of book titled “Database System Concepts”. c) Change the Department of the book titled “Discrete Maths” to “CS”. d) List ... |
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SYLLABUS BOOKLET
# Multicore subject offered by CSE to Math Sc. Streams in Mathematics & Computing. Stream Stream Code Stream Title. MMS. X1X. Mathematical Modeling and |
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Savitribai Phule Pune University
(Computer Science) Mathematics. To develop the syllabus the U.G.C. Model curriculum is followed. Aims: (i) Give the students a sufficient knowledge of |
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INTRODUCTION TO COMPUTATIONAL MATHEMATICS
20-Mar-2006 Computational. Mathematics. The goal of computational mathematics put simply |
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Two Year M. Sc. (Mathematics and Computing)
(Mathematics and Computing) Syllabus. First Semester. AMC 31101. Probability & Statistics ... Basic Computer Organization Programming the Basic. |
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University of Pune Board of Studies in Mathematics S. Y. B. Sc
(Computer Science). Syllabus of Mathematics. Introduction: Savitribai Phule Pune University Pune has decided to change the syllabi of various faculties from. |
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Computer Mathematics
Mathematics Standards of Learning Curriculum Framework 2009: Computer Mathematics. 1. TOPIC: PROBLEM SOLVING. COMPUTER MATHEMATICS. STANDARD COM.1. |
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Math 350 – Introduction to Computational Mathematics
Students should have learned what computational mathematics is about: Syllabus prepared by: Greg Fasshauer, Fred Hickernell and Dietmar Rempfer |
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SYLLABUS BSc (Computer Science, Statistics, Mathematics) Part
SYLLABUS B Sc (Computer Science, Statistics, Mathematics) Part – I Outlines of Tests Syllabi and Courses of Reading Note:-Every theory paper will be of |
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Syllabus, MA708 MATH 708, Computational Mathematics I, Fall
Syllabus, MA708 Numerical Mathematics and Computing, 7th Edition, by Ward Cheney and their skills in computer programming and problem solving |
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Mathematics & Computing - fnYyh çkSksfxdh foofoky;
Syllabus of Departmental Electives of VIII Semester for a successful career in Mathematics Computing/ Finance/Computer Engineering fields PEO-2 |
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Structured Syllabus SEMESTER – I MI101) Mathematics for
Syllabus of M Sc in Information Science Institute of Engineering 2 Mott J L , Kandel A and Baker T P , “Discrete mathematics for Computer Scientists and |
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SYLLABUS BSc (Computer Science, Statistics and Mathematics
SYLLABUS B Sc (Computer Science, Statistics and Mathematics) Part – III Outlines of Tests Syllabi and Courses of Reading Note:-Every theory paper will be |
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Computer Mathematics - Virginia Department of Education
Mathematics Standards of Learning Curriculum Framework 2009: Computer Mathematics 1 The computer is an essential tool for mathematical problem |
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SYLLABUS BOOKLET - IIT (BHU)
# Multicore subject offered by CSE to Math Sc Streams in Mathematics Computing Stream Stream Code Stream Title MMS X1X Mathematical Modeling and |
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SYLLABUS FOR MTECH- (INDUSTRIAL MATHEMATICS WITH
SYLLABUS FOR M TECH - (INDUSTRIAL MATHEMATICS WITH COMPUTER APPLICATIONS) (For the Colleges Affiliated under Pune University) FOR THE |
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Syllabus of Bachelor of Computer Application (Three Years Degree
1) J P Tremblay and R Manohar, “Discrete Mathematical Structure with Applications to Computer Science”, TMH, ISBN- 0-07-463113-6 2) Bernard Kolman |
