Homepage: http://www.math.usu.edu/rheal/math1210/
Why study calculus?
Calculus is the mathematical analysis of functions using limit approximations. It deals with rates of change, motion, areas and volumes of regions, and the polynomial approximation of functions. Modern calculus was developed in the middle of the 17th century by Isaac Newton and Gottfried Leibniz. Today, calculus is the essential language of science and engineering, providing the means by which real-world problems are expressed in mathematical terms.
Instructor
Dr. Robert Heal, Professor
Department of Mathematics and Statistics
Utah State University
Logan, Utah 84322-3900
Faculty Website
e-mail: bob@math.usu.edu (Do not use Canvas)
Phone: 435-760-0704
USU Catalog Course Description
MATH 1210 - Calculus I (QL), 4 credits: Analytic geometry, differential and integral calculus, transcendental functions, and applications. Graphing calculator required.
Online Course Fee: $15 per credit course fee is applied to all online courses to sustain current digital technologies and support services required for engaging and effective online learning.
All lessons and tests can be taken on or BEFORE the assigned due-date.
Prerequisite/Restriction
One of the following within the last year or three consecutive semesters (including summer); ACT Math score of at least 27; SAT Math score of at least 620; AP Calculus AB score of at least 3; Grade of C- or better in MATH 1050 and MATH 1060; or satisfactory score on the Math Placement Exam.
Electronic Resources and Textbook:
If you logon to the course via USU Canvas, you will be directed to the Online Math 1210 homepage which is is http://www.math.usu.edu/rheal/math 1210.
Of course you must have a computer with an internet connection. A graphing calculator is also required. If you already own a graphing calculator then use that one.
The textbook is Single Variable Calculus by Paul Sisson and Tibor Szarvas, published by Hawkes Learning. The text material is integrated with the online software. You will purchase an access code an then create an account.
1. Go to Hawkes Learning.
2. Purchase an Access Code. You will enter Utah State University, click on Continue. The product you must select is Single Variable Calculus.
3. Click on View Cart and complete the purchase.
4. Go to Hawkes Learning and select Create an Account. You will enter your Access Code and then create a password.
5. Enroll in the course: Robert Heal, Online Math 1210 Spring 2021
6. If you need help, here is a Hawkes link with a phone number at the bottom right of the page.
Once you work through the first few lessons, you will become very comfortable with the instructional software.
Lessons and Homework Assignments:
There are a total of 35 lessons in the Hawkes Learning System that you are required to complete. Each lesson is worth 10 points upon certification, so there are 350 possible lesson points. Your total will be converted to a percentage and so the lessons count a possible 100 points toward your course-grade total.
The courseware for each lesson consists of three modes:
Instruct is a multimedia presentation of each topic. The Instruct mode provides definitions, rules and properties, along with example problems, important hints, and helpful notes to enhance students’ learning experience. Narration, videos and ‘Your Turns’ are available for an interactive presentation of the material.
Practice teaches problem-solving skills. Problems in each lesson are algorithmically generated to allow unlimited practice. Intelligent feedback is provided on incorrect answers, and you have access to the Interactive Tutor for help with every problem.
Certify is where you do the homework. Each lesson contains a homework assignment with algorithmically generated problems. Each certification is based on mastery-level learning, allowing you to work at your own pace. Once you achieve mastery-level learning for a lesson, you are allowed to continue to the next lesson.
All homework will be done using the Hawkes Learning software. You can practice homework for each section as many times as you want. To complete the homework assignment for a lesson, you must CERTIFY by correctly answering approximately 80% of the problems for that section. If you fail to answer enough problems correctly then you will have the opportunity to learn what mistakes you made as well as receive feedback on why you made the mistakes and how to avoid making them again. You will be able to try and certify again when you are ready. There is no limit on the number of attempts to certify. You will receive full credit for all assignments for which you have certified. The software automatically generates a notification to the instructor and posts the results in the Gradebook.
The first five lesson are primarily a review of functions and you will not be tested on these lessons. The table below lists the due dates and lessons covered for the exams.
Tests:
There are three exams (90 minutes), each worth 100 points and a final test (2 hours) that is comprehensive and worth 200 points.
Lessons Covered |
On or Before Due Date |
|
Test 1 |
2.1 - 2.6 and 3.1 - 3.5 |
February 12, 2021 |
Test 2 |
3.6 - 3.9 and 4.1 - 4.7 |
March 19, 2021 |
Test 3 |
5.1 - 5.5 and 6.1 - 6.3 |
April 27, 2021 |
Final Test |
Comprehensive |
MaY 5, 2021 |
The exam due dates are given in the table above. For each midterm and final test you get four attemps with the best scored counted. Test results are automatically recorded in the Hawkes Gradebook; results and feedback are immediately available. After you have completed an examination, Dr. Heal will review your exam and give you additional points for partial credit and trivial formatting errors when it is appropriate. You don’t need to contact me, just check your Hawkes Gradebook for the revised score a few days after it is submitted.
The tests are randomly generated using a variety of problem types and parameters. They are based on the same problem types that are used to build your homework lessons.
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All exams will be taken while being monitored by Proctorio, an online monitoring service which uses advanced machine learning and facial detection technology. Your tests are accessed via Canvas, under the Quizzes tab. On the Canvas homepage is a link to information about Proctorio and its requirements (Google browser, camera, microphone). Scratch paper, a graphing calculator, and a single 5x8 card (both sides) for notes and formulas are allowed. The calculator can only be used for arithmetic computations and graphs, NOT for computer algebra or solutions. Some of the more sophisticated and expensive calculators will do an impressive amount of computer math. We want our students to have a fundamental understanding of the concepts and not just be able to push buttons. The test software will keep track of the time. Note that Canvas is just used to access Proctorio without requiring additional cost; scores in Canvas mean nothing, your actual scores are in your Hawkes gradebook.
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Tutoring
To access free online tutoring, go to http://www.usu.edu/online/tutoring/ and select the "eTutoring.org" login.Username: (student's A number)
Password: usuonlineIf you live in Cache Valley, free math tutoring is provided by the Academic Resources Center. The schedule is available at http://www.usu.edu/arc/tutoring/
Topics Covered (from the text)
Chapter 1, A Function Primer
Functions are essential for describing real world applications in mathematical terms. Key function types are reviewed including trigonometric, exponential, and logarithmic functions. This review includes combining and transforming functions, and using calculators or computers to view their graphs.Chapter 2, Limits and the Derivative
The concept of a limit is fundamental to finding the velocity of a moving object and the tangent to a curve. Limits are used to describe the way a function varies. Some functions vary continuously; small changes in x produce only small changes in f(x). Other functions can have values that jump, vary wildly, or tend to increase or decrease without bound.Chapter 3, Differentiation
The derivative measures the instantaneous rate at which a function changes and gives the slope of the line tangent to its graph at the point ( a, f(a) ). Rules are developed for easily finding derivatives.Chapter 4, Applications of Differentiation
Derivatives are used to find extreme values of functions and analyze the shape of graphs. A function can be determined by just knowing its derivative. The Mean Value Theorem is covered.Chapter 5, Integration
A method, called integration is developed to calculate the areas of regions defined in the plane. The integral is of fundamental importance in statistics, the sciences, and engineering. The Fundamental Theorem of Calculus is covered.Chapter 6, Applications of the Definite Integral
Definite integrals are used to find volumes, areas of surfaces, and lengths of plane curves. Integrals are also used to solve problems involving exponential growth and decay.
Grading Policy:
Your grade will be determined by the total of all your scores on the three midterms, the lessons, and the final test. There are 600 points possible. An approximate grade distribution is given in the following table.
A
560-600
B+
520-539
C+
465-479
D+
350-359
A-
540-559
B
500-519
C
375-464
D
330-349
B-
480-499
C-
360-374
F
0-329
Course Fee:
A $75 course fee is assessed to each student to help pay the costs of teaching assistants, recitation leaders and staffing of the Math & Stats Tutoring Center location in TSC 225A. The teaching assistants and recitation leaders attend class, teach recitation sessions and coordinate material under the supervision of the course instructor, and assist with the administration and grading of exams, quizzes, and homework. The Tutoring Center provides a shared area and resource for students to get help from all teaching assistants and recitation leaders assigned to MATH 1210, regardless the recitation or section for which students are registered. The course fee also supports the development and coordination of common materials and other resources, to improve consistency and to reduce overall instructional costs. All of these supports are provided to help ensure your success in Calculus I.
IDEA Objectives:
IDEA is the name of the course evaluation system used at USU. This course will focus on the following objectives:
1. Gaining factual knowledge (terminology, classifications, methods, trends)
2. Learning fundamental principles, generalizations, or theories
3. Learning to apply course materials (to improve rational thinking, problem solving and decisions)For more information about the IDEA course evaluation system, visit http://www.usu.edu/aaa/idea.cfm
USU Incomplete Grade Policy: USU Catalog
Students are required to complete all courses for which they are registered by the end of the semester. In some cases, a student may be unable to complete all of the coursework because of extenuating circumstances not due to poor performance or to retain financial aid. The term 'extenuating' circumstances includes: (1) incapacitating illness which prevents a student from attending classes for a minimum period of two weeks, (2) a death in the immediate family, (3) financial responsibilities requiring a student to alter a work schedule to secure employment, (4) change in work schedule as required by an employer, or (5) other emergencies deemed appropriate by the instructor.
Special Needs:
USU welcomes students with disabilities. If you have, or suspect you may have, a physical, mental health, or learning disability that may require accommodations in this course, please contact the Disability Resource Center (DRC) as early in the semester as possible (University Inn # 101, 435‐797‐2444, drc@usu.edu). All disability related accommodations must be approved by the DRC. Once approved, the DRC will coordinate with faculty to provide accommodations.
Dr. E Robert Heal, Professor
Department of Mathematics and Statistics
Faculty Website
Robert.Heal@usu.edu, 435-760-0704
