James Stewart Calculus Book Answers
Edelmar Easley
By the end of Math for Economics I, a student should know the principal results of single and several variable calculus, including calculation of derivatives, partial derivatives of both explicit and implicit functions and solving optimization problems including optimization problems by substitution. A student should be able to apply calculus to different comparative static problems to find maxima and/or minima of functions of single or several variables.
In fairness to fellow students, WebAssign assignments will generally not be extended for individual students. Because sometimes things more important than math homework come up, your two lowest WebAssign scores will be dropped.
Graders will grade the written homework promptly, and solutions will be discussed in recitation. Graders will be expecting you to express your ideas clearly, legibly, and completely, often requiring complete English sentences rather than merely just a long string of equations or unconnected mathematical expressions. This means you could lose points for unexplained answers.
One of the goals of this course is for you to learn how to think and communicate mathematically. This means that your homework problems should be written up with justification and explanations of your steps in English. See the examples in the textbook for examples of how to write up solutions to a problem well. Some exam problems will also ask for justifications, so this will be good practice. Each problem will specify its point value. Graders will grade each part according to the following rubric (e.g. if the problem was worth 5 points):
If you have a question about how a problem is scored, please check the rubric above to see which line best describes your work. If you are still unsure, contact your instructor. The instructor may confer with the grader about the score.
In fairness to fellow students and to graders, late homework will generally not be accepted. Because sometimes things more important than math homework come up, your single lowest written homework score will be dropped.
By all means, you may work in groups on the homework assignments. Collaboration is a big part of learning and of scholarship in general. However, each student must turn in his or her own write-up of the solutions.
During the semester there will be two midterm exams in class and one cumulative final exam. Our final exam is Friday, May 15, from 10:00 AM to 11:50 AM. Please note the date of the final and plan your travel accordingly.
Exams will contain a mixture of computational and conceptual problems. Some of them will resemble homework problems, while some will be brand new to you. The final exam is likely to be a mixture of multiple choice and free response problems.
We are only able to accommodate a limited number of out-of-sequence exams due to limited availability of rooms and proctors. For this reason, we may approve out-of-sequence exams in the following cases:
Scheduled out-of-sequence exams (those not arising from emergencies) must generally be taken before the actual exam. Makeups must occur within one week of the regularly scheduled exam or quiz, otherwise a zero score will be given.
A graphing calculator is encouraged for class discussion and on homework, but not allowed for exams or quizzes. No specific calculator is endorsed, so do not buy a new one. If you have one already, continue to use that one; if you do not, try free alternatives such as Wolfram Alpha.
There will be no accommodation for missed homework, quizzes, and exams, except in the cases of illness and observance of religious holidays. In the case of observance of religious holidays, you must make arrangements to make up missed work at least one week in advance. In the case of illness, you must present a detailed letter from a physician/health care provider. Students with disabilities can make arrangements at the Moses Center.
We value integrity and do not tolerate academic dishonesty. You are expected to uphold academic integrity as specified by the university and the College of Arts and Sciences -as/cas/academic-integrity.html.
The emphasis will be on understanding the material so that it can both be applied across a range of fields including the physical and biological sciences, engineering and information technologies, economics and commerce, and can also serve as a base for future mathematics courses. Many applications and connections with other fields will be discussed although not developed in detail. However, the material will not be developed in a rigorous theorem-proof style. Students interested in continuing with mathematics subjects beyond second year should initially enrol in MATH1115. This includes students interested in more mathematical/theoretical aspects of engineering, science and economics.
Topics to be covered include:
Calculus - Limits, including infinite limits and limits at infinity. Continuity and global properties of continuous functions.Differentiation, including mean value theorem, chain rule, implicit differentiation, inverse functions, antiderivatives and basic ideas about differential equations. Transcendental functions: exponential and logarithmic functions and their connection with integration, growth and decay, hyperbolic functions. Local and absolute extrema, concavity and inflection points, Newton's method, Taylor polynomials, L'Hopital's rules. Riemann integration and the Fundamental Theorem of Calculus. Techniques of integration including the method of substitution and integration by parts.
Linear Algebra - Complex numbers. Solution of linear system of equations. Matrix algebra including matrix inverses, partitioned matrices, linear transformations, matrix factorisation and subspaces. Determinants. Example applications including graphics, the Leontief Input-Output Model and various linear models in science and engineering. Emphasis is on understanding and on using algorithms.
1. Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts. These concepts include the solution of linear systems, matrix algebra, linear transformations and determinants in Linear Algebra; and limits, continuity, differentiation, local and absolute extrema, Riemann integration and the fundamental theorem of calculus in Calculus.
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques as they relate to the concepts listed above.
3. Demonstrate capacity for mathematical reasoning through explaining concepts from calculus and linear algebra.
4. Apply problem-solving using calculus and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts.
Secondary School Prerequisite: A satisfactory result in ACT Specialist Mathematics Major-Minor or NSW HSC Mathematics Extension 1 or equivalent. Students with a good pass in ACT Specialist Mathematics Major or NSW HSC Mathematics or equivalent will be considered. Students with a level of mathematics equivalent to ACT Mathematical Methods should enrol in the bridging course MATH1003. Students who lack these pre-requisites are strongly discouraged from enrolling in MATH1013.
Please note that where there are multiple assessment tasks of the same type, e.g. weekly quizzes, a date range is used in the Assessment Summary. The first date is the approximate due date of the first task, the return date is the approximate return date for the final task. Further information is provided in the assessment section of the class summary, and details are provided on the course wattle site.
Workshop registration will be via the course Wattle site. Workshops start in Week 3. Workshops are compulsory. If students do not attend a workshop, they get no marks for that workshop, including the in-class quiz for that week.
Workshop participation is required. These workshops are the main place students can get individual help. Students are supported to work cooperatively and share ideas. They should write the solutions to questions on whiteboards so that the demonstrators can easily interact with students during workshops.
Lecture attendance is highly encouraged; students who do not attend lectures are statistically more likely to have difficulties managing the required assessment. When possible, lectures are recorded through the Echo360 system and recordings are made available on the course Wattle page, however these should mostly be used for review purposes. Recordings are not a full substitute for regular lecture attendance.
Due at the end of each teaching week from Week 2 onwards (usually on Sunday nights), they are worth (in total) 8%. These are online quizzes that students complete in their own time. The quizzes are conducted using the WebAssign interface. The date range for these tasks indicates the approximate due date for the first quiz, and the approximate return date for the last quiz. Further details can be found on the course Wattle site.
Students must keep a workbook (an exercise book of 80 pages or so) containing worked solutions to the Online Quizzes. This workbook is a very helpful resource when revising key concepts. The workshop demonstrators will look over these workbooks in either Week 11 or Week 12. The workbook needs to be kept up to date over the course of the semester. The date range for this task indicates the approximate date for when the workbooks will be looked at, and the approximate date by which marks should be recorded on the course Wattle site.
A short quiz (approx 10 minutes) is set by the demonstrator at the beginning of each workshop. The question(s) cover similar content to the online WebAssign quizzes due at the start of the week of the workshop. The date range for these tasks indicates the approximate date of the first workshop quiz, and the approximate date by which marks for the last quiz should be recorded on the course Wattle site.
c80f0f1006