NEW MEXICO JUNIOR COLLEGE

Calculus and Analytic Geometry I

SYLLABUS

- GENERAL COURSE INFORMATION
- COURSE DESCRIPTION
This course is an introduction to concepts in analytic geometry, limits, continuity, differentiation of algebraic and transcendental functions, the mean value theorem, curve sketching, max-min problems, the definite and indefinite integral, and applications of integration, area, and the Fundamental Theorem of Calculus. This is a four credit hour course. Prerequisites: MA113 and MA123, or equivalent or appropriate score on a placement test.

- COURSE RATIONALE / TRANSFERABILITY
Calculus and Analytic Geometry I is the foundation mathematics for engineering, physical and social sciences. Calculus and Analytic Geometry I will transfer to most colleges and universities as a Calculus I credit.

- REQUIRED / SUGGESTED COURSE MATERIALS
**Required:**

Course work for this class can be done using EITHER online courseware "My Math Lab" OR a traditional text book. A graphing calculator is also required.

Access code for My Math Lab (MML) must be purchased to gain access to the assignments and chapter test. Access to MML is linked in Canvas so there is no instructor course ID. You must initiate access to MML for this course through Canvas.

(MML access code ISBN for purchase in the bookstore is 978-0-321199-91-1)

OR

Text book info:

Thomas' Calculus: Early Transcendentals, 14th Edition; Hass, Joel | Heil, Christopher | Weir, Maurice

Textbook ISBN-13: 9780134439020

Graphing Calculator- TI-83 or TI-84 are recommended**Suggested:**

None.You can buy your books online at the NMJC Bookstore.

- GRADING POLICY
Students attending New Mexico Junior College will be evaluated according to the following grading scale:

90 - 100% = A 80 - 89% = B 70 - 79% = C 60 - 69% = D 0 - 59% = F

For this course your grade will be made up of the following:

**MML or BOOK HOMEWORK: 15%****MML or PAPER TESTS: 25%****ASSESSMENTS: 60%****MML HOMEWORK**must be done online using MyMathLab (MML) which is accessed by the “My Lab and Mastering” button in the Canvas part of the course.**BOOK HOMEWORK**assignments are listed at the end of the notes for each section. All work must be shown along with original problems for full credit.Homework due dates are posted in MML and announced in class. Assignments can be accessed beyond the due date without penalty because minimum scores are required to progress. Access to all homework ends on Monday of final exam week, no exceptions. If an assignment in MML is blocked please contact me immediately so I can check settings and fix problems.

__Final submission__for all MML work is midnight on Monday of final exam week. Each homework assignment requires a minimum score of 80% to open the next assignment or test. Minimum scores apply to paper homework as well. If an assignment score is below 80% it will be returned with a warning that the score does not count until improvements are made to bring it up to 80% or better.**MML CHAPTER TESTS**can be done in MML by clicking the “Quizzes and Tests” button found under the “Homework” button. There are only two attempts allowed for each chapter test. Tests are timed at 120 minutes. Use the first attempt to gauge your knowledge of chapter material. Then use the “Review” option (immediately following the test or from the grade book button) to go over your mistakes and see correct answers in preparation for a second attempt. Be sure there is time and good internet connection before starting a test. Timing and loss of connection can result in loss of one or both attempts. Contact me immediately if access to a test is lost. Sometimes I can reopen a test and sometimes I can delete an attempt to free up access again. After two attempts, if the required minimum score of 70 is not earned contact me.**PAPER CHAPTER TESTS**are given by email or in class. A review is provided, but is not presented in class. The review comes with answers, but not work shown. It is intended to provide a practice attempt so answers can be checked. Tutors or instructors will help with reviews, but not with actual tests. As with MML tests a minimum score of 70% is required. If a test score is below 70% it will be returned so improvements can be made.**ASSESSMENTS**must be taken on paper in a secure testing center and are NOT available in MML. Assessments are given twice during the semester. The first set are to be taken after chapter 3 and then a set of final assessments are given during final exams. Final assessments ARE the final exam broken into four separate parts: limits, derivatives, integrals and applications. Reviews for each assessment are done in class and emailed. Final Assessments are available through Wednesday of final exam week. Days, times and location will be discussed in class.**CAUTION!!!**o Assessments make up 60% of the course grade and there is only one attempt on each. Minimum score requirements on homework and chapter tests will cause grades to appear good. This could lead to a false sense of security. All instruction and course work during the semester leads to PROVING LEARNING on final assessments in key skill areas. Lack of preparation, fatigue, apathy, misunderstanding or any other reason for doing poorly on assessments dramatically decreases final grades. Be practiced, be prepared and be confident before taking assessments. (Simply put, the average score on assessments pretty much determines your course grade. You can sabotage your entire grade in the course by failing to prepare for the assessments. PLEASE do not let that happen!)

o NMJC’s Academic Success Center employs tutors whose job it is to help you LEARN. They are happy to assist you while you work through “Practice”, but they will not help with a “Quiz” or with chapter tests (unless it is to help you understand mistakes after submitting an answer). Also, they are extremely busy at the end of the semester. There will be limits on the amount of time allowed with tutors. The priority will be in helping students prepare for final exams. They will NOT prioritize students who fell behind in their work and are trying to catch up at the last minute.

- INSTITUTIONAL STUDENT LEARNING OUTCOMES
New Mexico Junior College’s institutional student learning outcomes represent the knowledge and abilities developed by students attending New Mexico Junior College. Upon completion students should achieve the following learning outcomes along with specific curriculum outcomes for respective areas of study:

- Communication
- Comprehend information to summarize, analyze, evaluate, and apply to a specific situation.
- Communicate in an accurate, correct, and understandable manner.
- Critical Thinking and Problem Solving
- Define a problem and arrive at a logical solution.
- Use appropriate technology and information systems to collect, analyze, and organize information.
- Apply critical thinking, analysis, and problem solving to data.
- Self and Community
- Analyze and reflect on the ethical dimensions of legal, social, and / or scientific issues.
- Communicate an awareness of a variety of perspectives of ethical issues.
- Interact with individuals and within groups with integrity and awareness of others’ opinions, feelings and values.

- DEPARTMENTAL STUDENT LEARNING OUTCOMES
Calculus and Analytic Geometry I (MA144) is designed to develop an understanding of the mathematics of motion and change through the concepts of limits, derivatives, and integrals applied to various types of functions.

The course content of Calculus and Analytic Geometry I (MA144) supports NMJC’s mission of “promoting success through learning” by encouraging students to accomplish the following:

· Graph various types of functions.

· Solve various types of equations.

· Use the necessary notation for each topic including showing work for sequences of simplifying expressions.

· Set up and solve various types of application problems.

· Apply each of the above skills as part of the critical thinking and problem solving process.

- SPECIFIC COURSE STUDENT LEARNING OUTCOMES
Students who are successful in MA144 Calculus and Analytic Geometry I should be able to:

· Identify different types of functions;

· Determine the composite functions of two or more functions;

· Graph transformations of standard functions;

· Model real life situations with functions;

· Determine limits of functions at given points;

· Determine the derivative of functions using the difference quotient;

· Determine the derivative of functions using the Theorems of Differentiation;

· Determine the derivative of functions using the Chain Rule;

· Solve application problems involving rates;

· Determine local maximums and minimums of functions;

· Solve application problems involving maximums and minimums of functions;

· Graph linear, quadratic, polynomial, and rational functions;

· Solve application problems involving graphs of parabolas;

· Use the first and second derivative tests to graph functions;

· Find the antiderivative of algebraic and transcendental functions;

· Calculate Riemann sums to define the definite integral;

· Apply the Fundamental Theorem of Calculus;

· Find the area between curves.

- ADDITIONAL INFORMATION
As your instructor I am committed to helping you LEARN! However, LEARNING can only be accomplished by you. I can do a lot of things to try to help you, but only you can make it happen. To help get you started all course work is ready immediately you never have to wait for assignments and you know exactly what needs to be done. I will not add to what you see in the course outline. I will be available during class and in my office to assist you. If you invest the necessary time and effort, you will be successful. Be in class for quality work time, seek help and work independently. This will take consistent effort ALL semester! Here are some helpful things to know:

:__Resources for Assistance (tutoring)__1. Attend class and work with your instructor.

2. Use Brainfuse or go see a real person tutor for homework help. Brainfuse is an online tutoring service, click here to check out Brainfuse. Personal tutors are available by contacting the NMJC Academic Success Center. The Academic Success Center is located in room 123 Mansur Hall. The phone number is 575-492-2624.

3. DO NOT DROP! Get help and keep working no matter how far behind you might feel. Slow progress is better than no progress. (IF you really think you need to drop please visit with me to discuss your options.)

__Conduct:__1. Class time is for MATH only. Do not use phones or other gadgets during class. If you cannot focus on MATH during class time, don’t come!

2. Cheating will not be tolerated. In this class cheating is defined as not doing work yourself or using unapproved resources during testing. I may not catch all incidents of cheating, but I will act on any I become aware of. Also note, having too much “help” on course work will not benefit you because it will cause you to do poorly on the written assessments in the testing center. This would cause your grade to drop. If you are caught cheating in any way in the testing center you will be given a zero on the assessment with no opportunity to retake it.

__Overall Approach to Class:__Work on assignments DAILY! The course outline is set so we finish a chapter every two to three weeks with time to review and complete assessments. You have all the resources you need to make a great grade in this course. There are two ways to fail: not completing the work or not learning the information. It will be tempting to “just get by” with lots of help from other people or from the buttons in MML. If you don’t focus, keep notes and make sure you can work each question on your own you will not be able to pass the assessments. Set aside plenty of time to work EACH DAY, stick to it and let me help you. Let’s make it a great semester!

- GENERAL/MISCELLANEOUS
**Students will be held responsible for the information on these pages.****Academic Honesty**

Each student is expected to maintain the highest standards of honesty and integrity in online academic and professional matters. The College reserves the right to take disciplinary action, up to and including dismissal, against any student who is found guilty of academic dishonesty or otherwise fails to meet these standards. Academic dishonesty includes, but is not limited to, dishonesty in quizzes, tests, or assignments; claiming credit for work not done or done by others; and nondisclosure or misrepresentation in filling out applications or other College records. Cheating or gaining illegal information for any type of graded work is considered dishonest and will be dealt with accordingly.**Americans with Disabilities Act (ADA) Information**

Any student requiring special accommodations should contact the Special Needs Student Services Coordinator at (575) 492-2576 or by e-mail at specialneeds@nmjc.edu.**Attendance Policy**

Attendance is required at every session of each course for which the student is enrolled. When unavoidable circumstances make attendance impossible, students must provide a satisfactory explanation of their absences to their professors. College-sponsored activities are considered excused absences and the appropriate sponsor of those students who will be absent from class will notify professors. Students having absences due to college-sponsored activities will need to make arrangements with the affected classes / professor to take care of required work; however, arrangements for make-ups should be made within a reasonable time frame, usually within one week of the absence. Regarding make-up work, absences due to late registration are considered the same as regular absences.**Cell Phones/Pagers**

All cell phones and pagers must be turned off when the student is participating in any lecture, laboratory, or other learning activity.**Classroom Conduct**

The professor is responsible for maintaining a class environment best suited for effective learning. By registering for this class, the student is assumed to have entered into an agreement with New Mexico Junior College and the professor to attend the class regularly and to behave in an**appropriate**manner at all times. Disruptive behavior**may**result in the student being removed from the class.**Food and Drink Policy**

Food items and soft drinks may**not**be consumed in NMJC classrooms. Students are also discouraged from bringing food and drink items into the classroom even though these items remain in sealed packaging. Bottled water is permissible.**No Children in the Classroom**

In order to adhere to instructional procedures as well as maintain the safety of children, NMJC’s policy of no children in the classrooms (lecture, lab, etc.) will be followed.**Plagiarism**

Offering the work of another as one’s own, without proper acknowledgment, is plagiarism; therefore, any student who fails to give credit for quotations or essentially identical expression of material taken from books, encyclopedias, magazines and other reference works, or from the themes, reports, or other writings of a fellow student, is guilty of plagiarism. Plagiarism violates the academic honesty policy and is considered cheating.**Smoking/Use of Tobacco**

New Mexico Junior College is cognizant of the health hazards associated with smoking / use of tobacco for the smoker, as well as the non-smoker. In an effort to provide a healthy environment for students, employees, and others who may frequent the campus, NMJC prohibits smoking / use of tobacco inside any campus building or facility.**Tutoring Assistance**

Free tutoring services are available to all NMJC students through Brainfuse and the Academic Success Center located in Mansur Hall room 123 and 124.**Withdrawal Policy**

Regular, punctual attendance is required for all classes at NMJC. Although the professor has the right to drop any student who has missed the equivalent of 2 weeks of instruction (based on a 16 week semester) whether it’s a face to face, online, or a hybrid course, it is not guaranteed that the professor will drop the student. If the student chooses to stop attending a class, he/she should withdraw from the class by accessing your student account in the T-Bird Web Portal at www.nmjc.edu, or submitting the required paperwork to the Registrar’s Office by**5:00 p.m. on Tuesday, November 21, 2017**. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class. - CRITICAL INCIDENT AND EVACUATION PLAN
- ACADEMIC CALENDAR
- FINALS SCHEDULE
- COURSE OUTLINE
**Calculus I, MA144**(Tentative outline, subject to change based on time available)

**When**

**Section**

**Title / Objective**

**Day 1**

Introduction and course info

Weeks 1-2

Chapter 1

Functions

App A.1

Real Numbers and the Real Line

1.1

Functions and Their Graphs

1.2

Combining Functions; Shifting and Scaling Graphs

1.3

Trigonometric Functions

1.4

Graphing with Software (graphing calculator)

1.5

Exponential Functions

1.6

Inverse Functions and Logarithms

**Chapter 1 Test**

Weeks 3-4

Chapter 2

Limits and Continuity

2.1

Rates of Change and Tangent Lines to Curves

2.2

Limit of a Function and Limit Laws

2.3

The Precise Definition of a Limit

2.4

One-Sided Limits

2.5

Continuity

2.6

Limits Involving Infinity; Asymptotes of Graphs

**Chapter 2 Test**

Weeks 5-7

Chapter 3

Derivatives

3.1

Tangents and the Derivative at a Point

3.2

The Derivative as a Function

3.3

Differentiation Rules

3.4

The Derivative as a Rate of Change

3.5

Derivatives of Trigonometric Functions

3.6

The Chain Rule

**Chapter 3 Test: Sections 1-6**

Weeks 8-9

3.7

Implicit Differentiation

3.8

Derivatives of Inverse Functions and Logarithms

3.9

Inverse Trig Functions

3.10

Related Rates

3.11

Linearization and Differentials

**Chapter 3 Test: Sections 7-11**

Week 10

**Midcourse Assessments- Limits and Derivatives**

**(paper tests NOT MML tests)**

Weeks 11-12

Chapter 4

Applications of Derivatives

4.1

Extreme Values of Functions on Closed Intervals

4.2

The Mean Value Theorem

4.3

Monotonic Functions and the First Derivative Test

4.4

Concavity and Curve Sketching

4.5

Applied Optimization

4.6

Newton’s Method

4.7

Antiderivatives

**Chapter 4 Test**

Weeks 13-14

Chapter 5

Integrals

5.1

Area and Estimating with Finite Sums

5.2

Sigma Notation and Limits of Finite Sums

5.3

The Definite Integral

5.4

The Fundamental Theorem of Calculus

5.5

Indefinite Integrals and the Substitution Method

5.6

Definite Integral Substitutions and the Area Between Curves

8.7

Numerical Integration

**Chapter 5 Test**

**Weeks 15**Review for Final Assessments

**Weeks 15-16**

**Final Assessment: Limits**

**Final Assessment: Derivatives**

**Final Assessment: Integrals**

**Final Assessment: Applications**All four parts must be complete by last day of finals.

A. | Course Title: | Calculus and Analytic Geometry I |

B. | Course Number: | MA 144 - 30282 |

C. | Semester: | Fall 2017 |

D. | Days/Time: | M T W Th 11:00:00 AM - 11:50:00 AM |

E. | Credit Hours: | 4 |

F. | Instructor: | Schmitz, Charlotte |

G. | Office: | Heidel Hall (HH) 216 |

H. | Email Address: | CSchmitz@nmjc.edu |

I. | Office Phone: | (575) 492-2817 |

J. | Office Hours: | Monday: 10:00:00 AM-11:00:00 AM (MST); Tuesday: 8:00:00 AM-11:00:00 AM (MST); Wednesday: 10:00:00 AM-11:00:00 AM (MST); Thursday: 8:00:00 AM-11:00:00 AM (MST); Friday: 10:00:00 AM-12:00:00 PM (MST); Questions submitted Monday through Friday by 9:00 am will have a reply within 24 hours. Questions submitted over weekends or holidays will be answered by the end of next academic day. Note: Grades for regular coursework will update to Canvas daily. Grades for assessments will be posted within one week of deadline announced in class or in Canvas. |

K. | Time Zone: | Mountain Time |

L. | Prerequisite(s): | |

M. | Corequisite(s): | |

N. | Class Location: | HH121 |