NEW MEXICO JUNIOR COLLEGE

Calculus and Analytic Geometry II

SYLLABUS

- GENERAL COURSE INFORMATION
- COURSE DESCRIPTION
This is the sequential course to MA 144. This course covers techniques of integration, L’Hospital’s rule, polar coordinates, arc lengths, work, liquid force centroids, improper integrals and hyperbolic functions, introduction to differential equations, sequences, infinite series, and convergence tests. This is a four credit hour course. Prerequisite: MA 144 or equivalent.

- COURSE RATIONALE / TRANSFERABILITY
This course continues calculus topics introduced in MA 144 and prepares the student for study of more advanced mathematical topics.

This course will transfer directly to most colleges and universities as 4 semester hours of Calculus II credit. - REQUIRED / SUGGESTED COURSE MATERIALS
**Required:**

NOTE: Students continuing from Calculus I fall 2015 do NOT need to purchase a new access code or text book.

Students may choose EITHER

A "My Math Lab" access code. (MML will be accessed from Canvas. The code can be purchased when signing into MML through Canvas.)

OR

The text book:

Thomas' Calculus, 13th edition, Pearson

ISBN-13: 9780321884077

In addition to either of the above a graphing calculator is also required. (TI-83+ or TI-84 are used by the instructor in class and is 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:

**HOMEWORK: 15%****CHAPTER TESTS: 25%****ASSESSMENTS: 60%****HOMEWORK**must be done online using MyMathLab (MML) at http://pearsonmylabandmastering.com/. Homework due dates are posted in MML. Assignments can be accessed beyond the due date without penalty because minimum scores are required to open following sections. Final submission for all MML work will be Sunday before final exam week. Each homework assignment must be completed with a minimum score of 80% to open the next assignment or test.**CHAPTER TESTS**must also be done in MML. 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 following it to go over your mistakes and see correct answers as preparation for a second attempt. Another way to “review” an attempt of a test is to click on the grade book button and find the link next to the score on the test. The required minimum score is 70.**ASSESSMENTS**must be taken on paper in a secure testing center. Assessments will be taken twice over the semester. The first set is to be done after chapter 8. The second set acts as the final exam in three parts- graphing and geometric applications, techniques of integration and infinite series. Reviews for each assessment will be given in class, posted in Canvas or emailed. Midcourse assessments will be discussed in class. Final Assessments will be taken during at the appointed final exam time in the classroom. Assessments make up 60% of the course grade and there can only be one attempt on each. - 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 II (MA154) is designed to extend the student’s calculus skills to include techniques of integration, applications of the definite integral and methods in sequences and series.

The course content of Calculus and Analytic Geometry II (MA154) 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 MA154 Calculus 2 should be able to:

· Apply techniques of integration to area, volume, arc length and surface area problems;

· Graph polar forms and find area;

· Develop substitution techniques in integration;

· Extend techniques of integration to include integration by parts and the method of partial fractions;

· Review L’Hospital’s rule and evaluate improper integrals;

· Extend techniques of integration to include integration by parts and the method of partial fractions;

· Investigate hyperbolic and inverse hyperbolic functions;

· Begin study of series by utilizing sequence methods;

· Calculate infinite sums from Geometric Series;

· Test for infinite series convergence using the integral test, p-series test, comparison tests the ratio and roots tests;

· Apply series methods to alternating series to define Absolute and Conditional Convergence;

· Synthesize series methods in Power, Taylor and Maclaurin series.

- ADDITIONAL INFORMATION
GETTING STARTED: Login to Canvas, view and complete all items in the first two modules, connect to MyMathLab from the navigation button on left side of course page in Canvas. Note: temporary access is allowed for two weeks so do NOT wait to start working on assignments.

RESOURCES to successfully complete Calculus:

· Plan each day/week according to due dates for assignments and tests (see calculation of time needed below);

· Communicate with your instructor early and often to get help;

· Use “Brainfuse”, an online tutoring service as needed (click here to check out Brainfuse);

· Go to the Academic Success Center to work with a tutor for homework help (NMJC Academic Success Center is located in room 123 Mansur Hall, phone number is 575-492-2624).

EXPECTED CONDUCT:

Ř Participate in class- watch videos for each lesson from the Homework list in MML, take notes, complete section assignments and chapter tests, abide by deadlines and requirements.

Ř Do not use “Mathway” or other online problem solving apps. Quick answers from using those things for progress through lessons and chapter tests come at a cost on assessments.

*Maintaining an A on regular course work, but failing assessments will lead to a final grade of D or F.*This class will require consistent effort all semester. Allowing yourself to fall behind will greatly increase probability of failure or need to withdraw. If it gets stressful, be willing to make adjustments to your schedule and priorities. Finishing a required class is a very temporary intrusion to your life. Be realistic, consider how much you actually want to complete your education. Do you really want to earn your way to a career with a high paying job or not?

*Don’t sacrifice your greater life goals for things going on right now.*What will it take to earn credit for Calculus?

“To-Do-List” of 46 assignment scores:

· 37 Sections;

· 5 chapter tests;

· 1 mid-course assessment;

· 3 final assessments

Calculation of reasonable time required for each of the above components of the course:

37 section assignments @ about 2 hours each = 74 hours

5 Chapter Tests @ about 2 hours each = 10 hours

Mid-course Assessment about 3 hours

3 Final Assessments @ about 2 hours each = 6 hours

Total = 93 hours

All this should fit into 15 weeks of class. Allow for first week of “getting started” and we have 14 weeks- 93 hours / 14 weeks = 6.6 or round UP for safe approximate of 7 hours per week.

Some weeks will take more some will take less to meet deadlines. This is the reality of what it takes to accomplish the stated objectives which warrant credit hours on a degree plan or preparation for the next course.

If you know you cannot commit to this amount of work, consider changing your schedule before the refund period expires to avoid waste of time and money. (Refund period is through the first week of class only. Check the academic calendar for the actual date and make a decision before then.)

- 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 Thursday, April 20, 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 2**(Course Outline is tentative and subject to change at discretion of instructor.)***WEEK****Section****Title / Objective**(Day 1)

Syllabus/Grading Policy/MML info

Note: Each assignment listed below is graded. Grades are updated and posted in Canvas every two weeks.

1-3

6.1

Volumes Using Cross-Sections

1-3

6.2

Volumes Using Cylindrical Shells

1-3

6.3

Arc Length

1-3

6.4

Areas of Surfaces of Revolution

1-3

6.5

Work and Fluid Forces

1-3

6.6

Moments and Centers of Mass

1-3

**Chapter 6 Test**4

7.1

The Logarithm Defined as an Integral

4

7.2

Exponential Change and Separable Differential Equations

4

7.3

Hyperbolic Functions

4

7.4

Relative Rates of Growth

4

**Chapter 7 Test**5-6

8.1

Using Basic Integration Formulas

5-6

8.2

Integration by Parts

5-6

8.3

Trigonometric Integrals

5-6

8.4

Trigonometric Substitutions

5-6

8.5

Integration of Rational Functions by Partial Fractions

5-6

8.6

Integration Tables and Computer Algebra Systems

5-6

8.8

Improper Intergrals

5-6

**Chapter 8 Test*****

**Midcourse Assessments over chapters 6, 7, 8****(this will be a paper test NOT in MML)**7

9.1

Solutions, Slope Fields and Euler’s Method

7

9.2

First-Order Linear Equations

7

9.3

Applications

7

9.4

Graphical Solutions of Autonomous Equations

7

9.5

Systems of Equations and Phase Planes

7

**Chapter 9 Test**8-10

10.1

Sequences

8-10

10.2

Infinite Series

8-10

10.3

The Integral Test

8-10

10.4

Comparison Tests

8-10

10.5

Absolute Convergence; The Ratio and Root Tests

8-10

10.6

Alternating Series, Absolute and Conditional Convergence

8-10

10.7

Power Series

8-10

10.8

Taylor and Maclaurin Series

8-10

10.9

Convergence of Taylor Series

8-10

10.10

The Binomial Series and Application of Taylor Series

8-10

**Chapter 10 Test**11-13

11.1

Parameterizations of Plan Curves

11-13

11.2

Calculus with Parametric Curves

11-13

11.3

Polar Coordinates

11-13

11.4

Graphing in Polar Coordinates

11-13

11.5

Areas and Lengths in Polar Coordinates

11-13

11.6

Conic Sections

11-13

11.7

Conics in Polar Coordinates

11-13

**Chapter 11 Test****14-16****Assessments- review in class****14-16****Final Assessment 1- Techniques of Integration****14-16****Final Assessment 2- Series****14-16****Final Assessment 3- Graphing and Geometric Applications**

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

B. | Course Number: | MA 154 - 10066 |

C. | Semester: | Spring 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): | MA144 or equivalent test score |

M. | Corequisite(s): | none |

N. | Class Location: | HH121 |