NEW MEXICO JUNIOR COLLEGE

Calculus and Analytic Geometry I

SYLLABUS

  1. GENERAL COURSE INFORMATION
  2. A. Course Title: Calculus and Analytic Geometry I
    B. Course Number: MA 144 - 10817
    C. Semester: Spring 2019
    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); 12:00:00 PM-1:00:00 PM (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-11:00:00 AM (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
  3. 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.

  4. 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.

  5. REQUIRED / SUGGESTED COURSE MATERIALS

    Required:

    Calculus with Early Transcendentals; Sisson, Szarvas; Hawkes; First Edition
    Textbook WITH courseware access: 978-1-946158-44-4

    DO NOT attempt to set up your account using Hawkes Learning website. You must connect through the link in Canvas to have access to your work.

    Note: Hawkes courseware comes with an automatic free trial period of 14 days. This temporary access starts on the first day of class and cannot be extended. Please plan for how to purchase the access code prior to the end of the trial period.

    This is a new text book and new online courseware. MyMathLab access codes from previous semesters will not work.

    Suggested:
    None.

    You can buy your books online at the NMJC Bookstore.

  6. 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:

     

    HAWKES LESSON CERTIFIES:                       15%      

    CHAPTER TESTS:                                             25%      

    ASSESSMENTS:                                               60%      

     

    HAWKES LESSON CERTIFIES are done online using Hawkes courseware.  Lessons can only be accessed using the “Hawkes Single Sign On” module in Canvas.  Lesson due dates can be viewed on the “To-Do” list in Hawkes.  Lessons not certified by the deadline are automatically posted as zeros in the grade book.  Zeros can only be changed when the lesson certify is completed, but late penalties are applied for each day late.  Lessons within a chapter can be worked in any order, but cannot be skipped and all lessons must be complete to open the chapter test.  Final closing date for access to lessons is Monday of final exam week, no extensions.  If a lesson is blocked please contact me immediately so I can check settings and fix problems.   

    Each lesson requires a mastery score of 80%, but achieving mastery equates to a 100% in the gradebook, unless it was completed after the deadline.   

    Hawkes provides a Learn, Practice, Certify sequence to earn scores.  In addition to Learn and Practice there will be notes and example problems presented in class or posted in Canvas. 

    CHAPTER TESTS are either done in Hawkes by clicking the “Tests” tab in the Single Sign On link OR in class on paper, as designated in the course outline.  Hawkes tests are timed and have 2 attempts.  The first attempt helps you gauge your knowledge and readiness of the objectives.  There will be a “Review” option (immediately following the test or accessed from the grade book) allowing you 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 or delete an attempt to free up access again.  After two attempts, if the required mastery score of 80 is not earned contact me for further guidance.  Tests below 80% prevent access to next chapter lessons.  Do NOT take tests right before the closing date, this sets you behind.  In class, on paper tests will be scheduled and announced once lessons of a chapter are complete. 

    The Chapter Tests category will also contain a “Communication” score and a “Self & Community” score.  These are explained in the Course Information module in Canvas.

    ASSESSMENTS are proctored paper tests, NOT available in Hawkes.  Assessments are given twice during the semester.  The “Mid-course Assessment” is the test over the first five lessons of chapter 3.  Test dates are announced in class.  You may arrange for taking the test early, but NO MAKE UP is allowed after the announced deadline.  “Final Assessments” ARE the final exam (in four parts).  They are Limits, Derivative, Integrals, and Applications.  Final Assessments must be completed by the day and time designated for this class. 

    Any requirements not completed (lesson Certifies, chapter tests, assessments) can cause a failing grade for the course.

    Grades for the mid-course assessment will be within a week of completing the test in class.  Grades on final assessments will be by Wednesday of final exam week IF all requirements are met by Friday before Finals.  If you need finals week to finish assessments, final grades may take until the following Monday. 

    CAUTION!!!

    ·       Attendance is not factored into your grade directly, but it is still a major part of your success in this class and is a component of the Self & Community score.  As stated in the student hand book and in the campus attendance policy, you can be withdrawn by the instructor for not attending.  In this class that means neglecting course work for more than two weeks.  If you are not actively working on assignments for more than two weeks, I will have you withdrawn from the class. 

    ·       Any incident of academic dishonesty on proctored exams will result in zeros on the entire set of assessments.  No opportunity to make up assessments will be given. 

    ·       Assessments make up 60% of your overall grade.  There will be only one attempt on each.  Lesson Certifies and Chapter Tests should lead to PROVING LEARNING on assessments.  Doing poorly on assessments dramatically decreases your grade.  Also, neglecting deadlines on lessons and chapter tests will lead to failing.    Be practiced, be prepared and be confident before taking assessments.  Simply put, the average score on assessments pretty much determines your course grade. 

    ·        NMJC’s Academic Success Center employs tutors as an additional resource to help you LEARN.  They are happy to assist you while you work through “Practice”, but they will not help with “Certify” 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. 

     

     

  7. 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:

  8. 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.

     

     

     

  9. 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.

  10. ADDITIONAL INFORMATION

    RESOURCES to successfully complete Calculus: 

    ·        Attend class and work with your instructor during office time for extra help;

    ·        Go to the Academic Success Center to work with a tutor for help with Practice problems (NMJC Academic Success Center is located in the library, phone number is 575-492-2624);

    ·        Use “Brainfuse”, an online tutoring service.  You can connect to Brainfuse in Canvas.   

    ·        Communicate with your instructor about any problems regarding your success in class. 

    EXPECTED CONDUCT:

    Ř  Participate in class- take notes, ask questions, abide by deadlines and requirements.

    Ř  Come to class rested and stay awake.  If you can’t stay awake, don’t come!

    Ř  Do not use phones during class time.  Being distracted means not learning.  If you cannot ignore your phone during class time, showing up won’t do you any good!

    Ř  Do not use “Mathway” or other online problem solving apps.  Quick answers from resources not your brain come at a cost on assessments.  An A on regular course work, but failing assessments leads to a final grade of D or F. 

    PROFESSIONAL COMMUNICATION:  Please use appropriate, professional language, grammar and structure in your emails.  I will do the same.  Do not send an email that looks and reads as though it were composed as a text message.

    NMJC Communication Standard:

    ü  No text language (For example do not use i, BTW, LOL, IDK…)

    ü  Correct spelling and proper capitalization

    ü  Complete sentences (Start a sentence with a capital letter and end it with a period.)

    ü  Logical organization

    DON’T

    DO

    hi miss can you open test 2 for me plsi got behind bc my other classes are more fun and i dont get this stuf thx

     

    Dear Professor Schmitz,

    Would you please allow me until Friday to take chapter 2 test?  I am not understanding section 2.4.  Are you available at noon tomorrow so I can get help with it?

    Sincerely,

    Student who plans to make an A

     

     

     

     

  11. 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 at the Pannell Library on the 1st floor.

    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 Thursday, April 18, 2019. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class.

  12. CRITICAL INCIDENT AND EVACUATION PLAN
  13. ACADEMIC CALENDAR
  14. FINALS SCHEDULE
  15. COURSE OUTLINE

    Calculus I

    The following is a list of lessons to be covered in this class.  Each lesson will have a corresponding “Certify” assignment in Hawkes.  Chapter tests and Final Assessments will contain questions from the lessons.  Changes will be announced in class and will NOT affect grading policy weights or calculations. 


    When


    Lesson Number


    Lesson Title / Objective


    Day 1



    Introduction and course info

     

     

     

    Weeks 1-2

    Chapter 1

    A Function Primer


     


    1.1


    Functions and How We Represent Them

     

    Appendix B

    Properties of Exponents and Logarithms Graphs of Exponential and Logarithmic Functions

     

    Appendix C

    Trigonometric and Hyperbolic Functions

     


    1.2


    A Function Repertory

     


    1.3


    Transforming and Combining Functions

     


    1.4

    Inverse Functions

     

    1.5

    Calculus, Calculators and Computer Algebra Systems

     


    Chapter 1 Test- online in Hawkes

     

     

     


    Weeks 3-4


    Chapter 2

    Limits and the Derivative


     


    2.1


    Rates of Change and Tangents

     


    2.2


    Limits All Around the Plane

     


    2.3


    The Mathematical Definition of Limit

     


    2.4


    Determining Limits of Functions

     


    2.5


    Continuity

     


    2.6

    Rate of Change Revisited: The Derivative

     


    Chapter 2 Test- in class on paper




    Weeks 5-8

    Chapter 3

    Differentiation


     


    3.1

    Differentiation Notation and Consequences

     


    3.2

    Derivatives of Polynomials, Exponentials, Products and Quotients

     


    3.3

    Derivatives of Trigonometric Functions

     


    3.4

    The Chain Rule

     


    3.5

    Implicit Differentiation

     

     

    Chapter 3 Test: Sections 1-5- in class on paper*

     


     *This test IS the mid-term

     

     

     


     Weeks 9-10


    3.6

    Derivatives of Inverse Functions

     

    3.7

    Rates of Change in Use

     

    3.8

    Related Rates

     

    3.9

    Linearization and Differentials

     


     


     Chapter 3 Test: Sections 6-9- online in Hawkes

     


     


     




    Weeks 11-12

    Chapter 4

    Applications of Differentiation

     


    4.1


    Extreme Values of Functions

     


    4.2


    The Mean Value Theorem

     


    4.3

    The First and Second Derivative Tests

     


    4.4

    L’Hopital’s Rule

     


    4.5

    Calculus and Curve Sketching

     


    4.6

    Optimization Problems

     


    4.7


     Antiderivatives

     


    Chapter 4 Test- in class on paper

     

     

     


    Weeks 13-14

    Chapter 5


    Integration

     


    5.1

    Area, Distance, and Riemann Sums

     


    5.2

    The Definite Integral

     


    5.3

    The Fundamental Theorem of Calculus

     


    5.4

    Indefinite Integrals and the Substitution Rule

     


    5.5

    The Substitution Rule and Definite Integration

     


    Chapter 5 Test- online in Hawkes




    Week 15

     

    Review for Final Assessments


    Weeks 15-16



    All parts in class on paper

     

     

    Final Assessment: Limits

     



    Final Assessment: Derivatives

     



    Final Assessment: Integrals

     



    Final Assessment: Applications

     

     

    All four parts must be complete by last day of finals.