Course Syllabus
ENMU Ruidoso Branch Community College
Course Syllabus
Calculus I
Course information:
| Semester: Fall | Year: 2018 |
| Course #: MATH 124 | Title: CALCULUS I |
| CRN #: 12246 | Credits: 4 |
| Meeting Time: MW 11:15-12:55pm | Room: 106 |
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Instructor Information: |
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Shiva Shankar Rai, PhD Room 153, ENMU – Ruidoso 575.257.2120 (x 388) Office Hours: MTWR 10:00-11:00am, Or Email me for an appointment |
Rationale for student taking this course:
This course is the first of three calculus courses. It is a required course in most programs in mathematics, sciences, and engineering. The course is also helpful for understanding concepts in many business programs.
Course description:
Limits, derivatives, the mean value theorem, curve sketching, max-min problems, Newton’s Method, exponential and logarithmic functions, antiderivatives, the definite integral, the fundamental theorem of calculus, area, average of a function.
Expected Commitment:
To successfully complete this course students should anticipate spending a minimum of 1 to 2 hours for each hour spent in class each week to complete homework assignments, projects, and test preparation.
Text(s)/Study Guides(s), Manuals:
Calculus: Early Transcendental Functions. James Stewart, Eighth edition. Textbook is required.
Canvas Access
Required Course Supplies:
Pencil, paper, eraser, scientific calculator
Expected student outcomes or competencies:
It is expected that students will become proficient in techniques of differentiation, understand the concept of rate of change and how to use it to solve real world problems, the concept of definite and indefinite integrals and their relations to area and rate of change. In particular, the students will:
- Be able to explain the concept of continuous functions;
- Compute instantaneous rate of change;
- Compute derivatives of polynomial, algebraic, and transcendental functions;
- Use differentiation to solve related rate and optimization problems;
- Compute definite and indefinite integrals;
- Apply specific concepts to problems from the real world, including other sciences.
Requisites for the course:
Prerequisite: Math 119 and Math 120 both with a grade of “C” or better or satisfactory ACT/SAT score.
Integration of critical skills:
In this course, students will demonstrate the following critical skills by:
- Writing – homework questions, exam questions, discussion questions
- Acting Responsible – attendance, respect for others
- Thinking Critically – alternate solutions, application of concepts to problem solving
- Speaking Publicly – class participation, presenting solutions to the class
- Using Current Technology – internet research, publisher’s website
- Participating in Groups – work in groups on homework
Course Grading Policy:
| Homework | Attendance + Class Participation | Quizzes | Midterms | Final Exam |
| 20% | 20% | 20% | 20% | 20% |
Grades will be assigned according to the standard grading scale:
| 90-100% | 80-89% | 70-79% | 60-69% | 59% or less |
| A | B | C | D | F |
Homework (20%): Fortnightly written homework will be assigned, which will be due on Mondays.
Attendance and Class Participation (10+10=20%): Regular attendance is required. Class participation includes arriving in the class on time, staying till the end, interacting during the class, maintaining the discipline, respecting others, not using cell-phones, computers etc.
Watching assigned lecture videos before coming to the class, class discussion (or online discussions) and submission of weekly worksheets is anticipated.
Quizzes (20%): There will be a 15 minutes in-class quiz every Wednesday of the week, except the weeks of midterms and final. Two lowest graded quizzes will be dropped.
Exams (20%): There will be two 50 minutes in-class midterm exams as scheduled below.
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Midterm 1 |
Monday, October 1 |
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Midterm 2 |
Monday, November 19 |
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Final exam (20%): The comprehensive final exam will cover all material in the course.
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Final Exam |
Monday, December 10, 11:00am-1:30pm, Room 106 |
Tentative Course Outline:
https://drive.google.com/file/d/1sabtl5T46ASuC01gkCkdT-BvlGNguOOf/view?usp=sharing
Exam Week – ENMU-Ruidoso has instituted an exam week the last week of the semester around which all finals will be organized. The table below shows the final exam schedules for any semester. Exams will be held in the regularly scheduled lecture/lab room. CHECK FOR CONFLICTS EARLY. Any students having more than three examinations scheduled in any one day may notify the instructor of the last examination listed and ask for alternate arrangements. Final exams for weekend and online courses will be held on or before the last day of class.
Exam Week Schedule
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If class meets… |
Exam will be held… |
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Monday |
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8 a.m. classes MTWR |
8-10 a.m. |
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10 a.m. classes that meet MW |
10:15 a.m.-12:15 p.m. |
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1 p.m. classes that meet MW |
1-3 p.m. |
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5:30 p.m. classes that meet M |
5:30-7:30 p.m. |
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Tuesday |
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9 a.m. classes MTWR |
8-10 a.m. |
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10 a.m. classes that meet TR |
10:15 a.m.-12:15 p.m. |
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1 p.m. classes that meet TR |
1-3 p.m. |
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5:30 p.m. classes that meet T |
5:30-7:30 p.m. |
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Wednesday |
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11:30 a.m. classes that meet MW |
11:30a.m.-1:30p.m. or 1-3 p.m. |
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5:30 p.m. classes that meet W |
5:30-7:30 p.m. |
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Thursday |
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11:30 a.m. classes that meet TR |
11:30a.m.-1:30p.m. or 1-3 p.m. |
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5:30 p.m. classes that meet R |
5:30-7:30 p.m. |
Student Complaint Process – If a student is engaged in academic conflict that the student feels is not being fairly managed, the student may file a formal complaint to resolve that conflict with the Vice President of Student Learning. To start the process, please visit the administrative offices or call (575)527-3006.
No Smoking on Campus – Effective June 15, 2007 the Dee Johnson Clean Indoor Air Act prohibits smoking at all workplaces and public facilities. In order to comply with the provisions of the law, smoking is banned inside, or within 30 feet of any entrance way.
Required Supervision of Minors on Campus:
Minors under the age of 18 must be accompanied by an adult unless enrolled in a course, an approved activity, or has legitimate business with ENMU -Ruidoso. In addition, minors are not allowed in the classroom or on campus while the responsible adult is attending courses. The responsible adult must provide appropriate supervision, even if this means the adult must leave class and the campus.
Academic Integrity and Standards of Behavior – For the complete guide to services available to students and the academic and non-academic rules and regulations governing ENMU-Ruidoso students please refer to the Student Handbook available at http://www.ruidoso.enmu.edu/docs/studenthnbk.pdf .
Instructors at ENMU-Ruidoso will not tolerate poor student behavior including plagiarism.
Plagiarism is:
Offering the work of another as one's own;
Offering the work of another without acknowledgment or
Failing to give credit for quotations or essentially identical expressions of material taken from books, encyclopedias, magazines, other reference works, term papers, reports or
sources of any other individual.
Punishment is left up to the instructor and may range from a written warning to expulsion from the university.
Americans with Disabilities Act:
If you have physical or learning needs that require accommodation, contact your instructor or Cindy Holder, Student Affairs Director (257-2120) at the beginning of the semester. All efforts will be made to accommodate these needs or to provide equipment necessary to accomplish the requirements for this course. Discussions and documentation will be kept confidential.
Inclement Weather Closing Policy:
Students should always assume that classes are meeting as scheduled unless a campus closure notice is posted on the ENMU-Ruidoso website or announced on the radio or television. In the event of a closure due to inclement weather or other emergency, faculty will attempt to notify students in advance of the class meeting. Refer to the website for the complete Inclement Weather Closing Policy and Procedure.
Class Cancellation Policy:
Class meetings may not be cancelled by the instructor. If the instructor is ill or unable to hold class for reasons beyond his or her control, a substitute instructor will hold class or students will be given
the opportunity to make up missed class time through an alternative meeting time (agreeable to all students) or by completion of an outside assignment.
Student Agreement
I have reviewed and understand the entire content of this syllabus and agree to perform in accordance with the information contained therein.
______________________________________ ____________
(Student signature) Date
Course Description:
[INSTRUCTORS: We have included a general description here as a place holder. As with all sections, feel free to keep this information, replace it with your local course description, or remove this section entirely.]
This course explores the basic concepts of analytic geometry, limits (including indeterminate forms), derivatives, and integrals. The topics covered will include graphs, derivatives, and integrals of algebraic, trigonometric, exponential, logarithmic, and hyperbolic functions. Standard proofs will be covered, such as delta-epsilon proofs and proofs of some theorems. Applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, and optimization.
Student Learning Outcomes:
Upon successful completion of the course, students will be able to:
- compute limits of algebraic, exponential, logarithmic, and trigonometric functions.
- calculate derivatives of algebraic, exponential, logarithmic, and trigonometric functions.
- evaluate integrals of algebraic, exponential, logarithmic, and trigonometric functions.
- apply derivatives and integrals to solve physics, economic, geometric, and/or other problems.
- prove basic theorems related to limits, continuity, and differentiability, including delta-epsilon proofs.
Course Content:
- Real numbers, coordinate systems in two dimensions, lines, functions
- Introduction to limits, definition of limits, theorems on limits, one-sided limits, computation of limits using numerical, graphical, and algebraic approaches, delta-epsilon proofs; continuity and differentiability of functions, determining if a function is continuous at a real number; limits at infinity, asymptotes; introduction to derivatives and the limit definition of the derivative at a real number and as a function
- Use of differentiation theorems, derivatives of algebraic, trigonometric, inverse trigonometric, exponential, logarithmic, and hyperbolic functions, the chain rule, implicit differentiation, differentiation of inverse functions, higher order derivatives, use derivatives for applications including equation of tangent lines and related rates, and differentials
- Local and absolute extrema of functions; Rolle's theorem and the Mean Value Theorem; the first derivative test, the second derivative test, concavity; graphing functions using first and second derivatives, concavity, and asymptotes; applications of extrema including optimization, antiderivatives, indeterminate forms, and L'Hopital's rule
- Sigma notation, area, evaluating the definite integral as a limit, properties of the integral, the Fundamental Theorem of Calculus including computing integrals, and integration by substitution
Textbook:
Great news: your textbook for this class is available for free online!
Calculus, Volume 1 from OpenStax, ISBN 1-947172-13-1
You have several options to obtain this book:
- View online (Links to an external site.) (Links to an external site.)
- Download a PDF (Links to an external site.) (Links to an external site.)
You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.
Course Summary:
| Date | Details | Due |
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