Comp-274 Week 1 Homework Assignment Worksheet
| Math 174/274 (Numerical Methods for Physical Modeling) |
Course Topics: Numerical for Physical Modeling
Instructor: Prof. Michael Holst (5739 AP&M, firstname.lastname@example.org; Regular Office Hours: Mon 3-4:30pm)
Term: Fall 2014
Lecture: 2:00p-2:50p MWF, 5402 AP&M
TA:Shi (Fox) Cheng (5768 AP&M, email@example.com; Office Hours: Wed 4-5pm, Fri 3-4pm)
Discussion: 2:00p-2:50p Th, 2402 AP&M
Main Class Webpage: http://ccom.ucsd.edu/~mholst/teaching/ucsd/174_f14/index.html
Textbook(s): T. Sauer, Numerical Analysis, Second Edition.
Printable Syllabus: Can be found [ here ].
CATALOG DESCRIPTION:174/274. Numerical Methods for Physical Modeling (4)
Floating point arithmetic, direct and iterative solution of linear equations, iterative solution of nonlinear equations, optimization, approximation theory, interpolation, quadrature, numerical methods for initial and boundary value problems in ordinary differential equations. (Students may not receive credit for both Math 174 and PHYS 105, AMES 153 or 154. Students may not receive credit for Math 174 if Math 170A, B, or C has already been taken.) Graduate students will do an extra assignment/exam. Prerequisites: Math 20D or Math 21D, and either Math 20F or Math 31AH, or consent of instructor.
COURSE INFORMATION: Many of the advances of modern science have been made possible only through the sophisticated use of computer modeling. The mathematical foundation of the computer modeling techniques now used in all areas of mathematics, engineering, and science is known as numerical analysis. The Math 174/274 at UCSD provides a quick but thorough introduction to the exciting field of numerical analysis, which is also sometimes referred to as computational mathematics or scientific computing. Professor Holst has a passion for this particular area of mathematics, and much of his published research is in this area. Math 174/274 deals primarily with the development and analysis of algorithms (or, numerical methods) for solving systems of linear systems of equations, nonlinear systems of equations, optimization problems, and ordinary differential equations, and for approximating functions, their derivatives, and their integrals.
GRADES, HOMEWORKS, EXAMS, AND IMPORTANT DATES: Course information, such as homework assignments, due dates, and exam dates, will be maintained on the class webpage. Note that I sometimes make minor changes to the homework assignments as the quarter progresses, based on how much I am able to cover in the lectures. Therefore, CHECK THE WEBPAGE FREQUENTLY. The course will be graded on the homework assignments, two midterm examinations and a final examination, according to the following guidelines:
Here are some other important dates:
There will be five homework assignments throughout the quarter. The first midterm will be based on homeworks 1 and 2. The second midterm will be based on homeworks 3 and 4. The final will be cummulative and based on homeworks 1-4, as well as a small amount of new material from homework 5. The following policies regarding homeworks and exams will be applied:
LECTURES: The lectures will follow the textbook quite closely; however, I will not cover all sections in the book. My lectures may sometimes expand a bit on a particular topic beyond what is in that section of the book, if I think it is particularly important or useful. If I expect you to understand the material in a section and to be able to work problems in that section, then I will give you at least one homework problem from that section. This means that you should have a look at the upcoming homework assignment for the next two weeks to know what parts of the book to read prior to the lectures.
Homework assignments will be a combination of theoretical and computer problems; this will require some computer programming using MATLAB. The TA will be able to help you with both the theoretical and computer problems in both the discussions sections and by appointment.
HOMEWORKS ASSIGNMENTS: The following are the five homework assignments. Each homework consists of exercises listed below.
Homework 1 Exercises (Background and Chapter 1; Midterm 1 material!):
Homework 2 Exercises (Chapter 2; Midterm 1 material!):
Homework 3 Exercises (Chapter 3; Midterm 2 material!):
Homework 4 Exercises (Section 4.1 and Chapter 5; Midterm 2 material!):
Homework 5 Exercises (Chapters 6 and 7; Final Exam material!):
Clerical SalariesAdministrative SalariesComputer ServicesTotal Indirect CostAllocation Basis:ABC;Indirect Cost to Be Allocated$56,000$55,000$80,000$191,000Allocated to:Physical Therapy (PT)34,00028,50045,000107,500Occupational Therapy (OT)16,00013,00015,00044,000Speech Therapy (ST)6,0002,50020,00028,500Proof Total$56,000$55,000$80,000$191,000Allocation Key:o A = # Visits (Volume): PT = 9,600/OT = 4,000/ST = 2,400/Total = 16,000 (16,000 × $3.50 = $56,000)o B = Proportion of Direct Costs: PT = 60%/OT = 25%/ST = 15%/Total = 100% (% × $55,000)o C = # Computers in Service: PT = 10/OT = 3/ST = 3/Total = 16 (16 × $5,000 each = $80,000).2.Using worksheet #2 that replicates the set up in Table 6–1, enter the new direct cost and the new totals for indirect costs resulting from your work. Total the new results.You are going to re-create Table 6-1. You will use the information from the indirect cost in 6-1. You will need this