讲解 MATH 112: Calculus 1讲解 Java语言

MATH 112

Syllabus

Welcome to MATH 112: Calculus 1

Calculus is the foundation for most of the mathematics studied at the university level. The mastery of calculus requires well-developed math skills, clear conceptual understanding, and the ability to model phenomena in a variety of settings. Math 112, Calculus 1, develops the concepts of limit, derivative, and integral, and is fundamental for many fields of mathematics, science, and engineering.

Prerequisites

You are expected to know the material in Math 110 and Math 111 or the equivalent. This includes College Algebra and Trigonometry, but could also be satisfied with a good course in Precalculus. You will also be required to pass a Diagnostic Test in order to exhibit competency in these areas.

Diagnostic Test

Successful completion of Math 112 requires a solid background in both College Algebra and Trigonometry. In Webassign, the assignment portion of the testbook, you will find a Math 112 Diagnostic Test that you must complete while you are going through the Chapter 1 review material.

You must pass this Diagnostic Test with an 80% or better to move past Chapter 1 and access the Chapter 2 homework.

You can attempt the test as many times as you want. If you have difficulty with a certain part of the Diagnostic Test, you should carefully review the corresponding section in Chapter 1 (or the Trigonometry section in Appendix D of the textbook).

Important: If you cannot achieve a score of 80% or higher on the Diagnostic Test then you may not be prepared at this time for the challenging material in Calculus.

BYU Course Learning Outcomes

This course is designed for students majoring in the mathematical and physical sciences, engineering, or mathematics education and for students minoring in mathematics or mathematics education. Calculus is the foundation for most of the mathematics studied at the university level. The mastery of calculus requires well-developed skills, clear conceptual understanding, and the ability to model phenomena in a variety of settings. Calculus 1 develops the concepts of limit, derivative, and integral, and is fundamental for many fields of mathematics. This course contributes to all the expected learning outcomes of the Mathematics BS. For more detailed information, visit the Math 112 Wiki page https://math.byu.edu/wiki/index.php/Math_112:_Calculus_1() .

Limits. Students will:

· Develop informal meanings for the limit concept.

· Compute limits (or determine non-existence) of functions described algebraically and graphically. Derivatives. Students will:

· Know the limit definition of the derivative and interpret it as slope and rate of change.

· Use various differentiation rules to compute derivatives.

Definite and Indefinite Integrals.  Students will:

· Know the limit of Riemann sums definition of the integral and interpret it as accumulation, area under a curve, and net change.

· Use geometry, the fundamental theorem of calculus, and u-substitution to compute integrals.

Applications. Students will use derivatives and integrals to solve common real-world problems, including:

· Optimization, related rates, approximation, and curve sketching for derivatives.

· Net change and area problems for integrals

G E  Ce rt ificat io n A rea

This course is designed to fulfill the Quantitative Reasoning requirement of the Aims of a BYU Education which refers to: “Quantitative Reasoning—numerical abilities that equip students with the capacity to understand and explain the world in quantitative terms; to interpret numerical data; and to evaluate arguments that rely on quantitative information and approaches” (Aims, “Intellectually Enlarging”).

Q ua ntitative  Reaso n i ng  Lea r n i ng  O utco mes

When you successfully complete this course, you will find that you

1. Have improved your critical thinking and problem solving, especially as these apply to quantitative analysis.

2. Are prepared to identify and intelligently face problems you encounter in life that require quantitative reasoning.

Course Materials

You need to buy these materials to complete the course.

James Stewart, Daniel K. Clegg, Saleem Watson. Single Variable Calculus: Early

Transcendentals, 9th Edition with WebAssign. Cengage, 2021.

Print ISBN: 9780357128947, 035712894X

eText ISBN: 9780357128930, 0357128931

IMPORTANT: The textbook for this course is an integrated e-textbook, including access to WebAssign, which you will use to complete half of your homework.

Note for students not in the US: Because international copyright laws may vary, you may want to go directly to the publisher (Cengage) to buy your materials. Be sure you purchase the correct

edition of the textbook with WebAssign access https://www.cengage.com/c/calculus-early-( transcendentals-9e-stewart/9780357128916/?searchIsbn=9780357128916) .

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WebAssign Homework Assignments

Each module has a graded homework assignment, and all homework will be done through WebAssign. You are advised to study each section and the homework carefully before attempting each exam.

Once you have completed the pretest, gained access to the homework in WebAssign

s( ww.webassign.net/)ection(http://w) , and logged in, you should be able to see the homework assignments by

1. Click on the first section name (for example, 8.3), and it will take you to a page from which you can access each individual question.

2. Just above the questions, there is a “Print Assignment” link where you can download a hard

copy of the questions for that section. It is suggested that you print out the homework and keep the questions and your work in a notebook that you can review when necessary.

3. Once you have completed all of the homework questions on your worksheets, log in to the homework server and click on the homework set.

4. Click on each individual link to go to that problem’s page. Enter your solution into the given box. You have some options here:

a. You can click on “Preview” to make sure you entered in your problem correctly.

b. If you didn’t, you can fix it before you proceed. If you feel your answer is right, click on the “Submit answer” button.

5. After submitting your answer, you will be told if your answer is right or wrong. If it is wrong, you can review your work and try to correct it. Then you can submit it again.

NOTE: You can spend as long on a homework assignment as you wish, but understand that homework problems have a limit of 10 attempts.

Since the homework is separate from this course, your final homework score will need to be transferred to this course. This is done only once, after the last module and before you request the final exam.

This means that you could take the midterms without doing any homework, but it is highly unlikely that you will achieve a passing grade without doing the homework first. Before you request an exam, you should make sure that your homework percentage is high. A high homework percentage does not guarantee a good score on an exam, but a low percentage nearly always translates to a failing grade on the test.

If you want to go back later and improve your homework score, you are welcome to do so until you reach your 10-try limit per problem or you request that your final homework score be transferred to   your course. To submit your score before you request the final, complete and submit the WebAssign Homework Score Transfer Request.

Exams

You will complete these exams during the course.

· Midcourse Exam 1 covers modules 1–3.

· Midcourse Exam 2 covers modules 4–6.

· Midcourse Exam 3 covers modules 7–9.

· Midcourse Exam 4 covers modules 10–12.

· Final Exam covers modules 13–15, plus comprehensive questions from all the modules in the course.

For details about each exam, please see the Preparing for the Exam pages in the module just before the exam.

Note: Before you request the final, you need to complete and submit the WebAssign Homework Score Transfer Request. Once this is done, you will not be able to change your homework grade.

Note: Proctored exams are administered using an online proctoring service.

Your homework grade is a cumulative score. It will be posted only once from WebAssign

(http://www.webassign.net/)into your course gradebook. When you are ready to take the final exam,   complete and submit the WebAssign Homework Score Transfer Request. Once you have done this,  you will not be able to change your homework score. The homework score listed in the gradebook will become your final homework score. So, if you wish to improve your homework score, you must do it  before you request the final exam.

Getting Help

There is a phone line dedicated to assisting online Math students! If you have questions about how to solve the problems in your math assignments (or mathematical questions in general), you can contact the Virtual Math Lab for help!

To get help, you can either:

1. Call 801-422-4806 (not a toll-free number) Monday through Saturday, See Math Lab (https://math.byu.edu/?page_id=193#Hours)for hours.

2. E-mail virtualmathlab@byu.edu (mailto:virtualmathlab@byu.edu)with your question. (We will respond during Virtual Math Lab hours.)

You can even take pictures of your work and send them to the above e-mail address while you’re on the phone with the tutor!

It can be helpful to e-mail to set up an appointment to talk to a tutor. You can make appointments for virtual meetings via phone or online.

For more information, you can also go to the Student Success Center (https://academicsuccess.byu.edu/) website.

Please take advantage of this awesome resource! We’d love to help you!

You can also email the TA assigned to this course at [email protected]

(mailto:online112@mathematics.byu.edu), for specific questions about problems in the homework assignments, though it may be difficult for the TA to provide detailed help over email.

If you live near BYU, the BYU Math Lab is a great resource for getting one-on-one help. You can find information about the location and hours of the Math Lab https://math.byu.edu/?(

page_id=193#anchor-0) online.

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Grading

Your grade in this course will be based on these assignments and exams.

Assignments and Exams

*You must pass the final exam to earn credit for the course; you may retake it once, for a fee, upon request.

G rade  Sca le

Your letter grade is calculated according to these percentages.

Grade Scale