QUANTITATIVE ANALYSIS MATH 1100 UNIVERSITY OF UTAH SPRING 2002 Contents 1. Instructor 1 2. Students with disabilities 1 3. What you know already 1 4. The textbook 1 5. Equipment 1 6. Grading 2 7. Tutoring 2 8. What we cover, and when and where 2 8.1. Lectures: where and when 2 8.2. Office hours: where and when 3 8.3. Final exam: where and when 3 I
QUANTITATIVE ANALYSIS 1 1. Instructor Benjamin McKay email mckay@math.utah.edu office JWB 126 telephone 581-8649 web page http://www.math.utah.edu/ mckay 2. Students with disabilities The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accomodations in this class, reasonable prior notice needs to be given to the instructor and to the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD) to make arrangements for accomodations. All written information in this course can be made available in alternative format with prior notification. 3. What you know already You should already have studied the material presented in Math 1090; roughly linear equations functions matrices inequalities quadratic functions the exponential function and logarithm elementary finance 4. The textbook The textbook is Ronald Harshbarger and James Reynolds, Mathematical Applications, sixth edition, Houghton Mifflin, New York, NY, 2000. which is available from the bookstore. 5. Equipment Some questions in the homework will require a calculator or computer. You are responsible for carrying out these problems as far as you can without electronic aids. No problems on tests or exams will require calculators or computers, and none will be allowed.
2 QUANTITATIVE ANALYSIS 6. Grading All tests will be held in the classroom at the standard class time. Task Percentage of final grade Homework 10% Test #1 10% Test #2 10% Test #3 10% Test #4 10% Test #5 10% Final exam 40% Homework assignments are due the next class after they are issued. No late homework or projects will be accepted after the beginning of the class when they are due, without a request from the dean. All homework assignments, tests and exams are to be completed independently by each student; only original work of the student whose name is on the assignment may be submitted for grading. Missed tests (or final exam) can not be rescheduled without a request from the dean. 7. Tutoring Free tutoring is available in the Mathematics Tutoring Center, which will open Monday, January 13. Hours are 8:00am 8:00pm, Monday to Thursday, and 8:00am 4:00pm on Fridays; closed weekends and holidays. If there are any questions, please contact: Angie Gardner Director of Undergraduate Services gardiner@math.utah.edu 585-9478 JWB 112 There is also tutoring available from the University Tutoring Center, Student Services Building SSB 330, 581-5153. They provide one on one tutoring for a reasonable fee. In addition to the university services, a list of private tutors is available at the department office, and students may come by and ask for a copy. For more information visit www.saff.utah.edu/tutoring/. 8. What we cover, and when and where 8.1. Lectures: where and when. Lectures are Monday, Wednesday, Friday 10:45am 11:35:am, in AEB 310.
QUANTITATIVE ANALYSIS 3 8.2. Office hours: where and when. I will be in my office, which is JWB 126 (in the basement of the John Widtsoe Building, on President s circle) 2:00pm 3:00pm, Monday, Wednesday and Friday, and you can drop by then to ask questions; or you can schedule an appointment with me. 8.3. Final exam: where and when. Thursday, May 1, 10:30am 12:30pm, AEB 310. The schedule may be changed; if so you will be notified in class.
4 QUANTITATIVE ANALYSIS Quantitative Analysis Schedule Date Topic Textbook Assignment Review Mon, Jan 6 Linear & quadratic functions 1.5 1.6, 2.3 1.5 #2,6,14 1.6 #16,17,36 2.3 #3,17 Wed, Jan 8 Matrices 3.3 3.4 3.3 #14,32 3.4 #16,34,55 Fri, Jan 10 Linear programming 4.3, 5.1 4.3 #14,34,53 5.1 #27,31 Mon, Jan 13 Exponential & logarithm 5.2 5.3, 6.2 5.2 #2,8,10,54 5.3 #3,16 6.2 #36,66,83 Wed, Jan 15 Test #1 Derivatives Fri, Jan 17 Limits 9.1 9.2 9.1 #7,12,32,67 9.2 #22,47 Mon, Jan 20 MLK Day (no classes) Wed, Jan 22 Rates of change & tangent lines 9.3 9.3 #3,6,8,28,40,45 Fri, Jan 24 Calculating derivatives 9.4 9.4 #10,26,30,43,52 Mon, Jan 27 Product & quotient rules 9.5 9.5 #6,30,45,52 Wed, Jan 29 Chain and power rules 9.6 9.6 #4,16,35,38,49 Fri, Jan 31 More calculations 9.7 9.7 #1,6,32,35,43 Mon, Feb 3 Higher derivatives 9.8 9.8 #8,19,21,41,48 Wed, Feb 5 Test #2
QUANTITATIVE ANALYSIS 5 Quantitative Analysis Schedule (continued) Date Topic Textbook Assignment Advanced derivatives Fri, Feb 7 Derivatives of log x and e x 11.1 11.2 11.1 #8,24,43 11.2 #21,32,50 Mon, Feb 10 Implicit derivatives 11.3 11.3 #6,21,48,57 Wed, Feb 12 Related rates 11.4 11.4 #4,12,17,20,21 Applying derivatives Fri, Feb 14 Applications 9.9 9.9 #8,9,24,26,33 Mon, Feb 17 Wash B day (no classes) Wed, Feb 19 Sketching curves 10.1 10.1 #1,2,28,51,54 Fri, Feb 21 Concavity and inflections 10.2 10.2 #5 10,11,20,35,37 Mon, Feb 24 Optimization 10.3 10.3 #3,5,20,21,35 Wed, Feb 26 Max & min applications 10.4 10.4 #1,3,27,30,31 Fri, Feb 28 Application to economics 11.5 11.5 #5,6,8,13,14 Mon, Mar 3 Test #3 Indefinite integrals Wed, Mar 5 Indefinite integrals 12.1 12.1 #4,24,32,43,44,49 Fri, Mar 7 The power rule 12.2 12.2 #1,3,20,39,44 Mon, Mar 10 Integrals with log x and e x 12.3 12.3 #2,8,17,44,50 Wed, Mar 12 Applications in finance and economics 12.4 12.4 #1,7,11,15,25 Fri, Mar 14 Differential equations 12.5 12.5 #4,10,27,39,49 Mon, Mar 17 Spring break (no classes) Wed, Mar 19 Spring break (no classes)
Quantitative Analysis Schedule (continued) Date Topic Textbook Assignment Fri, Mar 21 Spring break (no classes) Mon, Mar 24 Test #4 Definite integrals Wed, Mar 26 Area under a curve 13.1 13.1 #4,8,23,29,34 Fri, Mar 28 Fundamental theorem of calculus 13.2 13.2 #8,14,24,31,34,41 Mon, Mar 31 Applications 13.4 13.4 #2,3,17,30,31 Wed, Apr 2 Improper integrals 13.7 13.7 #1,4,9,22,37,41 Fri, Apr 4 Probability densities 13.7 13.7 #24,27,28,45,46 Mon, Apr 7 Test #5 Calculus of several variables Wed, Apr 9 Functions of several variables 14.1 14.1 #6,7,8,16,17 Fri, Apr 11 Partial derivatives 14.2 14.2 #1,14,19,23,48 Mon, Apr 14 Joint and marginal cost 14.3 14.3 #3,12,14,24,27 Wed, Apr 16 Maxima & minima 14.4 14.4 #14,20,23,29 Fri, Apr 18 Linear regression 14.4 14.4 #31,32,33 Mon, Apr 21 Constrained max & min 14.5 14.5 #5,10,15,16 Wed, Apr 23 Lagrange multipliers 14.5 14.5 #19,21,25,26 6 QUANTITATIVE ANALYSIS