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MATH-2415-001 Calculus III
Prerequisite: MATH 2414-minimum grade of C
Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals and Jacobians; application of the line integral, including Green’s Theorem, the Divergence Theorem and Stokes’ Theorem.
Student Resources Student Resources Website
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(4 sem hrs; 3 lec, 2 lab)
On Campus Course
\ Calculus, by William Briggs and Lyle Cochran, with the assistance of Bernard Gillett
\ A graphing calculator is required for this course. All classroom demonstrations will be done on the TI-84 Plus. Other forms of Texas Instruments or Casio calculators will be permitted at the instructor's discretion. However, the T
\ Upon successful completion of this course, students will:
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1.) Perform calculus operations on vector-valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion.
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2.) Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.
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3.) Find extrema and tangent planes.
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4.) Solve problems using the Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
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5.) Apply the computational and conceptual principles of calculus to the solutions of real-world problems.
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In order to receive your AC Connect Email, you must log in through AC Connect at https://acconnect.actx.edu .
If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".
Students are expected to behave in the classroom in a manner that is supportive of the learning environment. Behaviors that are not supportive include but are not limited to: tardiness/leaving early, electronic device noises, talking during lecture, texting or participating in social media during lecture, and abusive, offensive, or disrespectful language or demeanor towards AC faculty, staff, students, or property.
Students who fail to comply with the standards outlined in the syllabus and "Student Rights & Responsibilities" will be subject to disciplinary action, which may include but is not limited to: removal from the classroom, consultation with the department chair or other AC authority, or withdrawl from the course or college.
The Texas Higher Education Coordinating Board sets the topics that must be covered in order to receive credit for a course. The instructor sets the pace to ensure that these requirements are met. Any student having trouble maintaining the pace should seek extra help from the instructor and/or a tutor.
Scholastic dishonesty shall constitute a violation of the rules and regulations described in the Student Rights and Responsibilities Handbook under Student Conduct and Responsibilities. Consequences for cheating may include receiving a zero for an assignment, permanent removal from the class, or failing the course.
| Category | Drop | Weight |
| Online HW | Drop lowest 2 assignments | 10% |
| Reviews/Labs | ----- | 10% |
| Flatland Questions | Drop lowest 1 assignment | 5% |
| Rubik's Cube Project | ----- | 5% |
| Major Exams | ----- | 50% |
| Final Exam | ----- | 20% |
Your semester grade (90-100 A, 80-89 B, 70-79 C, 60-69 D, below 60 F) will be calculated using the following weights:
Three major exams will be given this semester in addition to a comprehensive final exam. If the final exam grade is higher than the lowest major exam, the final exam grade will replace it. Otherwise, all major exams will be counted in the final average.
Daily attendance is required in both lecture and lab. Students must sign into lecture and sign out after lab. It is the responsibility of the student to sign the attendance sheet daily. Students who miss class will not be permitted to turn in assignments due that day. Note that the last day to drop is Tuessday, November 18, 2014. Students who stop attending class and do not officially drop will receive a grade of F if their average falls below a 60.
The following schedule is subject to change by the instructor at any time.
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Week |
MW Dates |
Lecture and Exams |
MML HW online |
Flatland Assignment |
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1 |
8/26, 8/28 |
Review, 12.1 |
M 9/1 |
Ch 1-3 Questions due T 9/2 |
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2 |
9/2, 9/4 |
12.2, 12.3 |
M 9/8 |
Ch 4-6 Questions due T 9/9 |
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3 |
9/9, 9/11 |
12.4, 12.5 |
M 9/15 |
Ch 7-9 due T 9/16 |
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4 |
9/16, 9/18 |
12.6, 12.7 |
M 9/22 |
Ch 10-12 due T 9/23 |
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5 |
9/23, 9/25 |
12.8, 13.1 |
12.8 due M 9/29, 13.1 due M 10/6 |
Ch 13-15 due T 9/30 |
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6 |
9/30, 10/2 |
Ch 12 Exam, 13.2 |
13.1, 13.2 due M 10/6 |
Ch 16-18 Questions due T 10/7 |
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7 |
10/7, 10/9 |
13.4, 13.5 |
M 10/13 |
Ch 19-22 Questions due T 10/14 |
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8 |
10/14, 10/16 |
13.6, 13.7 |
M 10/20 |
FLATLAND THE MOVIE! |
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Rubik’s Cube Project |
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9 |
10/21, 10/23 |
13.8, 13.9 |
M 10/27 |
Solve the White Cross by R 10/23 |
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10 |
10/28, 10/30 |
14.1, Ch 13 Exam |
M 11/3 |
Solve the White Corners by R 10/30 |
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11 |
11/4, 11/6 |
14.2, 14.3 |
M 11/10 |
Solve the Middle Layer by R 11/6 |
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12 |
11/11, 11/13 |
14.4, 14.5 |
M 11/17 |
Position Yellow Cross by R 11/13 |
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13 |
11/18, 11/20 |
14.6, 14.7 |
M 11/24 |
Orient Yellow Cross by R 11/20 |
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14 |
11/25, 11/27 |
Ch 14 Exam, Thanksgiving Holiday |
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Position Yellow Corners by T 12/2 |
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15 |
12/2, 12/4 |
15.1, 15.2 |
M 12/8 |
Orient Yellow Corners by R 12/4 |
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16 |
12/11 |
Comprehensive Final Exam Thursday, December 11, 2014 from 12:00-2:00PM |
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GETTING STARTED WITH MyMathLab
If you were enrolled in Calculus I or Calculus II at Amarillo College and you completed homwork using MyMathLab, you do not need to pay the MyMathLab registration fee. Simply add Calculus III following these steps:
1.) Go to www.pearsonmylabandmastering.com.
2.) Select "Sign In," and enter your existing Pearson account username and password.
3.) Select "Enroll in another course" above your course listings.
4.) Enter the courseID cornell85164.
5.) On the confirmation page, select "Go to your course."
If you did not have a MyMathLab account with the Briggs/Cochran textbook, you will need the following information:
Course ID: cornell85164
Student Access Code: If you chose to purchase a new textbook, the student access code can be found in the MyMathLab kit wrapped with your textbook. If you chose not to purchase the textbook, you can buy the access code online with a credit card ($88) during the registration process.
Email Address: Use the address you check most often.
1.) Go to www.pearsonmylabandmastering.comand click the Register button in the Students Area.
2.) At the lower left corner under "For Students", click "Get Started".
3.) Click the link "Learn how to register" to watch a video that demonstrates how to register, or simply read the instructions listed below the video link.
4.) Follow the step by step instructions to register and enroll. During the registration process, you will design a username and password. I will have access to your username but not your password, so be sure to write these down.
To get started after logging in:
1.) To work on assignments, click the “Homework” button, and choose the section you wish to complete.
2.) To access the e-textbook, click the “Interactive eBook” button, and choose the chapter and section you wish to view.
3.) To view a power point presentation, video, or animation from a particular section, click the “Multimedia Library” button, and choose the chapter and section you wish to view or print.
REVIEWS
Students will be required to complete written review worksheets before each exam. Answers will be provided, but the student must show all work for full credit. Points will be awarded on a completion basis. Prerequisite review worksheets will also be given at the beginning of the semester with due date set by the instructor in class.
FLATLAND
To enhance the geometrical side of Calculus III, students will be required to read the classic novella Flatland by Edwin A. Abbott and answer discussion questions about the text. (A pdf version of the book is posted on AC Connect and is available as a free Amazon Kindle book.) Discussion questions will be submitted on a weekly basis for the first 8 weeks of the semester. Questions must be answered in complete sentences for full credit. Students will also engage in classroom discussions of the concepts presented in the book during lab. After the completing the book, we will enjoy the Hollywood (movie) version of Flatland!
RUBIK'S CUBE PROJECT
Calculus III requires a fundamental understanding of three dimensional space. To develop the ability to understand position, orientation, and direction in three dimensional space, students will learn to solve the classic Rubik's Cube by applying simple algorithms. Students will be required to solve the cube in seven distinct stages. This project will take place during the second 8 weeks of the semester.
LATE WORK
Flatland questions and review worksheets are due at the beginning of class on the date set by the instructor in class. (See schedule above.) Once class begins, HW is late. No late homework will be accepted online or in class, and no make-up exams are permitted.
11/30/-1 12:00 AM
11/30/-1 12:00 AM