Columbia College
Evening Campus
1001 Rogers Street
Columbia, MO 65216
(800) 231-2391

### COURSE SYLLABUS

16 / 36 - Late Summer Session
June - August 2017

## Course Syllabus

Course Syllabus
16 / 36 - Late Summer Session
June - August 2017
Evening Campus
1001 Rogers Street
Columbia, MO 65216
(800) 231-2391

 Course Prefix and Number: MATH 201 A Course Title: Calculus and Analytic Geometry I Semester Credit Hours: 5 Class Day and Time: Mon Tue Wed Thu 10:00 AM-12:00 PMAdditional Notes: Campus is closed Tuesday July 4 for Independence Day. The make-up day is Friday July 7. This course is web-enhanced, taught entirely in a classroom setting using D2L course management software to supplement in-seat content.

#### Catalog Description

The first part of the three-part calculus series. Topics include: review of algebra and trigonometry; functions and limits; derivatives and their applications; the integrals and their applicatations. Â Prerequisite: Grade of C or higher in MATH 180 or a score of 26 or higher on the math portion of the ACT or 590 or above SAT score or a passing score on the Columbia College math placement exam. G.E.

#### Prerequisites/Corequisites

Grade of C or higher in MATH 180 or a score of 26 or higher on the math portion of the ACT or 590 or above SAT score or a passing score on the Columbia College math placement exam.

#### Text

CALCULUS:SINGLE VARIABLE 8th edition
Author: Stewart (Cengage)
ISBN: 9781305266636

#### Course Learning Outcomes

1. Compute limits, analytically or from a graph, or determine that a limit does not exist.
2. Determine if functions are continuous, analytically or from a graph, and identify different types of discontinuities.
3. Compute derivatives of functions or determine that a derivative does not exist.
4. Relate the graph of a function to properties of its derivative.
5. Compute definite and indefinite integrals.
6. Relate the graph of a function to properties of its integral.Â
7. Solve applied problems using calculus.

• Apply limit laws to calculate limits of sums, differences, products
• Identify basic algebraic and trigonometric functions from numerical, graphical, symbolic and analytic perspectives.
• and quotients of functions.
• Distinguish between one-sided and two-sided limits and describe their existence from geometric and analytic points of view.
• Evaluate limits using the precise definition of the limit.
• Determine if functions are continuous and identify removable, infinite and jump discontinuities.
• Apply the Intermediate Value Theorem to prove the existence of roots of functions.
• Explain derivatives as instantaneous rates of change.
• Differentiate functions explicitly and implicitly and identify cases where functions are not differentiable.
• Differentiate composite functions using the Chain Rule.
• Apply differential and integral calculus to solve problems in the natural and social sciences.
• Compute higher order derivatives and interpret them from a physical point of view.
• Use linear approximations and differentials to approximate functions and solve applied problems.
• Apply the Mean Value Theorem to establish basic properties of differentiable functions.
• Compute limits at infinity and identify horizontal asymptotes.
• Sketch graphs of functions based on information about their first and second derivatives.
• Solve optimization problems.
• Use Newton’s method to solve equations and identify limitations of the method.
• Find antiderivatives of functions with and without initial conditions.
• Compute definite integrals as the limit of Riemann sums and approximate integrals using finite Riemann sums.
• Evaluate definite and indefinite integrals using the Fundamental Theorem of Calculus and the method of substitution.

#### Instructional Methods

The instructional methods include lecture, small group work, and individual exploration. We have the opportunity to explore mathematics through the use of technology such as graphing calculators and online graphing utilities.

#### Out of Class Activities

A set of recommended homework problems are provided in each class period. It is essential you try them all. Math is not a spectator sport. You cannot learn mathematics without trying problems on your own. Homework problems are a great way to determine your understanding. They can also help determine areas of difficulty. Homework problems are chosen to represent the concepts to be mastered in the course. Thus, most exams and quizzes contain problems that closely model homework problems. You should expect to spend at least 2 hours outside of class per class hour spent in class. For this class, you will spend 8 hours a week in class and thus should expect to spend 16 hours per week outside of class studying and doing homework problems.

 Quizzes 200 Points 33 1/3% of grade Description - There are at least 10 quizzes given this session each worth 20 points. Each quiz consists of problems similar to the homework problems. If more than 10 quizzes are given, but lowest quiz scores will be dropped and your best 10 kept. Method of Evaluation - Quizzes graded for accuracy. Partial credit given. Exam 1 100 Points 16 1/6% of grade Description - This exam given in Week 3 and covers the material from Week 1 - 3. Method of Evaluation - Exam 1 graded for accuracy. Partial credit given. Exam 2 100 Points 16 1/6% of grade Description - This exam given in Week 6 and covers the material from Week 4 - 6. Method of Evaluation - Exam 2 graded for accuracy. Partial credit given. Final Exam 200 Points 33 1/3% of grade Description - The final exam given on the last day of class. It is cumulative and covers the material from the entire 8 week course. Method of Evaluation - Final Exam graded for accuracy. Partial credit given.

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

#### Schedule of Activities and Assignments

 Week 1 Sections 1.1 - 1.5 Activities: Introduction to the Course Four Ways to Represent a Function Mathematical Models: A Catalog of Essential Functions New Functions From Old Functions The Tangent and Velocity Functions The Limit of a Function Reading: Sections 1.1-1.5 Assignments: Homework problems assigned in class each day. Examinations: Quizzes Additional Notes: Campus is closed Tuesday July 4 for Independence Day. The make-up day is Friday July 7. Week 2 Sections 1.6, 1.8, 2.1, 2.2 Activities: Calculating Limits Using the Limit Laws Continuity Derivatives and Rates of Change The Derivative as a Function Reading: Sections 1.6, 1.8, 2.1, 2.2 Assignments: Homework problems assigned in class each day. Examinations: Quizzes. Additional Notes: Campus is closed Tuesday July 4 for Independence Day. The make-up day is Friday July 7. Week 3 Sections 2.3-2.5 and Exam 1 Activities: Differentiation Formulas Derivatives and Trigonometric Functions The Chain Rule EXAM 1 (Chapter 1 and Chapter 2 - part 1) Reading: Sections 2.3-2.5 Assignments: Homework problems assigned in class each day. Examinations: Exam 1 Week 4 Sections 2.6-2.9 Activities: Implicit Differentiation Rates of Change in the Natural and Social Sciences Related Rates Linear Approximation and Differentials Reading: Sections 2.6-2.9 Assignments: Homework problems assigned in class each day. Examinations: Quizzes Week 5 Sections 3.1-3.5 Activities: Maximum and Minimum Problems The Mean Value Theorem How Derivatives Affect the Shape of a Graph Limits at Infinity: Horizontal Asymptotes Summary of Curve Sketching Reading: Sections 3.1-3.5 Assignments: Homework problems assigned in class each day. Examinations: Quizzes Week 6 Sections 3.7-3.9 and Exam 2 Activities: Optimization Problems Newton's Method Antiderivatives EXAM 2 (Chapter 2- part 2 and Chapter 3) Reading: Sections 3.7-3.9 Assignments: Homework problems assigned in class each day. Examinations: Exam 2 Week 7 Sections 4.1-4.4 Activities: Areas and Distances The Definite Integral The Fundamental Theorem of Calculus Indefinite Integrals and the Net Change Theorem Reading: Sections 4.1-4.4 Assignments: Homework problems assigned in class each day. Examinations: Quizzes Week 8 Sections 4.5, 5.1-5.3 and Final Exam Activities: The Substitution Rule Areas Between Curves Volumes Volumes by Cylindrical Shells FINAL EXAM Reading: Sections 4.5, 5.1-5.3 Assignments: Homework problems assigned in class each day. Examinations: Final Exam

#### Library Resources

Columbia College Resources - Online databases are available at the Columbia College Stafford Library.  You may access them using your CougarTrack login and password when prompted.

### Course Policies and Procedures

#### Attendance

Columbia College Policy - Columbia College students are expected to attend all classes and laboratory periods for which they are enrolled.  Students are directly responsible to instructors for class attendance and work missed during an absence for any cause.  If absences jeopardize progress in a course, an instructor may withdraw a student from the course with a grade of "F" or "W" at the discretion of the instructor.  For additional information, see the Columbia College policy on Student Attendance.

Columbia College Policy - Columbia College students must fulfill their academic obligations through honest, independent effort.  Dishonesty is considered a serious offense subject to strong disciplinary actions.  Activities which constitute academic dishonesty include plagiarism, unauthorized joint effort on exams or assignments, falsification of forms or records, providing false or misleading information, or aiding another in an act of academic dishonesty.  For more information, see the Columbia College Academic Integrity Policy and Procedures.

#### Class Conduct and Personal Conduct

Columbia College Policy - Students must conduct themselves so others will not be distracted from the pursuit of learning.  Students may be disciplined for any conduct which constitutes a hazard to the health, safety, or well-being of members of the College community or which is deemed detrimental to the College's interests. Discourteous or unseemly conduct may result in a student being asked to leave the classroom.  For more information, see the Columbia College Student Code of Conduct and Student Behavioral Misconduct Policy and Procedures.

#### Cancelled Class Make-Up

Columbia College Policy - Classes cancelled because of inclement weather or other reasons must be rescheduled.  For more information, see the Columbia College Inclement Weather Policy.

#### Make-Up Examinations

Columbia College Policy - Make-up examinations may be authorized for students who miss regularly scheduled examinations due to circumstances beyond their control.  Make-up examinations must be administered as soon as possible after the regularly scheduled examination period and must be administered in a controlled environment.

Campus Policy - Make up examinations are scheduled on designated Saturday mornings 9am in 103 Buchanan. Students must present a picture I.D. in order to be admitted to the testing session. Students must arrange with the instructor to take the exam before or after it is given in class and permission to take a makeup examination (or any graded activity) is granted at the discretion of the instructor.

#### Adding, Dropping, or Withdrawing from a Course

Columbia College Policy - Students may add a course through Wednesday of the first week of the session and drop a course without academic or financial liability through close of business on Monday of the second week of the session.  Once enrolled, a student is considered a member of that class until he or she officially drops or withdraws in accordance with College policy.  An official drop/withdrawal takes place only when a student has submitted a Drop/Add/Withdrawal form.  A failure to attend class, or advising a fellow student, staff or adjunct faculty member of an intent to withdraw from a class does not constitute official drop/withdrawal.  The drop/add/withdrawal periods begin the same day/date the session starts, not the first day a particular class begins. If a student stops attending a class but does not submit the required Drop/Withdrawal form a grade of "F" will be awarded.  For more information, see the Columbia College Registration Policy and Procedures.

#### Withdrawal Excused

Columbia College Policy - A student may request an excused withdrawal (WE) under extraordinary circumstances by submitting a Drop/Withdrawal form accompanied by a complete explanation of the circumstances and supporting documentation to the location director.  The WE request must include all classes in which the student is currently enrolled.  The Vice President for Adult Higher Education is the approving authority for all WE requests.  A student who receives approval of their WE request may still be required to return some or all of the federal financial assistance received for the session.  For more information, see the Columbia College Withdrawal Policy.

#### Incomplete

Columbia College Policy - A student may request that the instructor award a grade of "I" due to extraordinary circumstances (unforeseen or unexpected circumstances beyond the student's control) that prevent a student from completing the requirements of a course by the end of a session.  An "I" will not be given because a student is failing, negligent or not meeting requirements.  If the instructor believes an "I" is appropriate, the instructor will specify the work needed to complete the course and the time allowed to complete the work.  Work missed must be made up within two subsequent sessions unless the instructor specifies an earlier date.  Extensions beyond two sessions must be approved by the Vice President for Adult Higher Education.  If the work is completed during the specified time period, the instructor will change the "I" to the grade earned.  If the work is not completed during the specified time, the instructor may allow the incomplete to remain on the student's permanent record or change it to any other letter grade.  For more information, see the Columbia College Undergraduate Grading Policy.

Columbia College Policy - A student may appeal any grade given if it is believed to be in error or in conflict with Columbia College policy and procedures.  The student must state in writing to the location director why the grade awarded is believed to be in error and request a desired remedy.  The faculty member who awarded the grade will be given the opportunity to comment on all student allegations.  If the issue cannot be resolved at the location the appeal will be transmitted through the location director to the Vice President for Adult Higher Education.  A grade appeal must be received for review by the Vice President for Adult Higher Education prior to the end of 60 days from the date the grade was awarded.  For more information, see the Columbia College Undergraduate Grading Policy.

#### Prerequisites

Columbia College Policy - Course prerequisites are established to ensure that a student has adequate academic preparation to succeed in a particular course.  Staff members will attempt to ensure that students meet prerequisite requirements.  However, it is the student's responsibility to closely examine the course descriptions to determine if prerequisites exist and to enroll in courses in the proper sequence.  In some exceptional cases it may be apparent that the student possesses the required skills and knowledge to succeed in a particular course, even though they have not taken the prerequisite course.  In this case the prerequisite course may be waived by the location director.  Waiver of a course as a prerequisite does not remove the requirement to complete the course if it is a requirement for the student's degree program.

#### CougarTrack

Columbia College Policy - The College provides all students access to CougarMail (the official means of e-mail communication for the College), online resources from the Stafford Library, and their Columbia College records (transcripts, grades, student schedules, etc.) through CougarTrack.

#### CougarMail

Columbia College Policy - The official student email address (also known as CougarMail) will be used for all official correspondence from faculty and staff.  Students are responsible for the information received and are required to monitor their CougarMail account on a regular basis.  Students may forward their CougarMail to another email account but will be held responsible for the information sent over CougarMail, even if there is a problem with the alternate mail service.

#### Cell Phones

Columbia College Policy - Cell phones can be a distraction to the learning process.  Location directors or course instructors may require that cell phones be turned off or set to vibrate during class periods.  Students requiring special arrangements to receive a cell phone call during class should make prior arrangements with their location director or course instructor.

#### Bookstore Information

Columbia College Policy - As part of Truition, students will receive their course materials automatically as described below.

eText Information

If a course uses an eText, (see Textbook information above) the book will be available directly in Desire2Learn (D2L) and through the VitalSource eText reader the Friday before the session begins, if registered for courses prior to that date.  Students will have a VitalSource account created for them using their CougarMail email address.  Upon first login to VitalSource, students may need to verify their account and update their VitalSource password.  More information about how to use the VitalSource platform, including offline access to eTexts, can be found in D2L.  Students that would like to order an optional loose-leaf print-on-demand copy of eligible eTexts can do so through the VitalSource Bookshelf at an additional cost.  Once orders are placed, it can take approximately five to seven business days for students to receive their print-on-demand books.

Physical Course Materials Information

Students enrolled in courses that require physical materials will receive these materials automatically at the address on file with Columbia College.  Delivery date of physical materials is dependent on registration date and shipping location.  Please refer to confirmation emails sent from Ed Map for more details on shipping status.

Returns:  Students who drop a course with physical course materials will be responsible for returning those items to Ed Map within 30 days of receipt of the order.  More specific information on how to do so will be included in the package received from Ed Map.  See here for Ed Map's return policy.  Failure to return physical items from a dropped course will result in a charge to the student account for all unreturned items.

Note:
Students who opt-out of having their books provided as part of TruitionSM are responsible for purchasing their own course materials.  Visit https://www.ccis.edu/bookstore.aspx for details.

#### FERPA

Columbia College Policy - The Family Educational Rights and Privacy Act (FERPA) affords students certain rights with respect to their education records.  For more information, see the Columbia College Family Education Rights and Privacy Policy.

#### Student Accessibility Resources

Columbia College Policy - Students with documented disabilities who may need academic services for this course are required to register with the office of Student Accessibility Resources.  Until the student has been cleared through this office, accommodations do not have to be granted.  If you are a student who has a documented disability, it is important for you to read the entire syllabus as soon as possible.  The structure or the content of the course may make an accommodation not feasible.  Student Accessibility Resources is located in Student Affairs in AHSC 215 and can be reached by phone at (573) 875-7626.  For more information, see the Columbia College ADA and Section 504 Policy for Students.

#### Alcohol and Other Drugs: Columbia College Policies & Resources

Columbia College Policy - Columbia College recognizes the negative health effects associated with the use, possession, and distribution of controlled and/or illicit substances, and their detrimental impact on the quality of the educational environment.  Therefore, all members of the College community share in the responsibility of protecting the campus environment by exemplifying high standards of professional and personal conduct.  For more information and resources, see the Columbia College Alcohol and Other Drugs Policy.

#### Tobacco-Free Policy

Columbia College Policy - The following policy goes into effect on August 21, 2017.  Columbia College values and is concerned for the health and well-being of its students, employees and visitors. The College is committed to providing a healthful and productive educational and employment environment for members of the College community. Consistent with this commitment and in the interest of the general health and welfare of the College community, the College prohibits the use of all tobacco products and related devices on all College property and premises.  For more information, see the Columbia College Tobacco-Free Policy.

#### Non-Discrimination

Columbia College Policy - Discrimination, harassment, and retaliation on the basis of protected status (see Notice of Non-Discrimination and Equal Opportunity for a definition of "protected status") are strictly prohibited. Persons who engage in such conduct are subject to discipline up to and including termination or dismissal.  For more information, see the Columbia College Non-Discrimination and Equal Opportunity Policy and Complaint Resolution Procedure.

#### Columbia College Policy Library

Columbia College Policy - The policies set forth in the Online Policy Library are the current official versions of College policies and supersede and replace any other existing or conflicting policies covering the same subject matter.  The Online Policy Library is currently under construction with new policies being added on a frequent basis and the policies currently listed are not comprehensive of every College policy.  Questions regarding the Online Policy Library should be directed to the Office of the General Counsel.  For more information on policies applicable to students, see Student Policies.  For more information on policies applicable to the entire Columbia College community, see College-Wide Policies.

#### Technical Support

Columbia College Policy - If you have problems accessing the course or posting your assignments, contact your instructor, the Columbia College Technology Solutions Center, or the D2L Helpdesk for assistance.  If you have technical problems with the VitalSource eText reader, please contact VitalSource.  Contact information is also available within the online course environment.

- Columbia College Technology Solutions Center:  CCHelpDesk@ccis.edu, 1-800-231-2391 ext. 4357

- D2L Helpdesk:  helpdesk@d2l.com, 1-877-325-7778

- VitalSource:  support@vitalsource.com, 1-855-200-4146