2015 Fall Calculus 1 Syllabus



 

 

MATH 1190: Calculus I

 

Fall Semester 2015

 

Instructor – Dr. Sarah Holliday

 

CRN
Days
Time
Course Num/Sec
Location
84532
MW
2:00-3:40pm
MATH 1190/05
MS 108
 

A Course in the General Education Program
 

Program Description: The General Education at Kennesaw State University program offers a comprehensive series of interrelated courses in the liberal arts and sciences for all Kennesaw State University students. Whereas the major program contributes depth within a chosen specialization, the General Education core provides breadth of understanding within a variety of disciplines. Together, the General Education core and the major degree program offer students the knowledge, skills, and perspectives to become informed and engaged citizens living in a diverse, global community.

 


 

Program Goals: The General Education Program at KSU has four goals. During the course of the program, students should achieve the following:

Demonstrate knowledge and understanding of general education disciplines.
Demonstrate proficiency in communication.
Demonstrate skills in inquiry, critical thinking, analysis, and problem solving through scholarly and/or creative activity across the general education disciplines.
Demonstrate an understanding of ethics, diversity, and a global perspective.
 

MATH 1190 satisfies one of Kennesaw State University’s general education program requirements. It addresses the Applied Math learning outcome. This learning outcome states:

 

Applied Math:  Students will demonstrate an ability to effectively apply symbolic representations to model and solve problems.

 

For more information about KSU’s General Education program requirements and associated learning outcomes, please visit the topic "University-Wide Degree Requirements" in the KSU Undergraduate Catalog.

 

 

General Education Assessment Study:

 

Kennesaw State University is currently engaged in a campus-wide assessment of its general education program.  The purpose is to measure student achievement with respect to faculty defined student learning outcomes.  This course has been selected to participate in the process.  No individually-identifiable student information will be collected as part of the assessment.   Data will be reported only in aggregated form.  Students should know that the data may be used for scholarly work by members of KSU faculty (but only in anonymous and aggregated form).  If you are opposed to having your anonymous data used for scholarly work, you can “opt out” of this specific aspect of the process.

For more information on the general education assessment process and for access to an “opt out” form, please click


                 http://kennesaw.edu/curriculum/gen-ed-assessment.html

 

Course Description

 

MATH 1190 – Calculus I

4 Class Hours 0 Laboratory Hours 4 Credit Hours


Prerequisite:  A grade of “C” or better grade in MATH 1112 or MATH 1113 or approval of department chair.

 

This course is the first in the calculus curriculum and introduces the central concepts of calculus. Topics include limits, continuity, derivatives of algebraic and transcendental functions of one variable, applications of these concepts and a brief introduction to the integral of a function.

 

 

Expected Learning Outcomes

 

1.      The student will be able to determine the limit of a function, including limits involving infinity, numerically, graphically, and analytically, including using the Squeeze Theorem.

2.      The student will be able to determine the continuity of a function at a specific number and on an interval, both graphically and analytically.

3.      The student will be able to use the Intermediate Value Theorem.

4.      Students will be able to compute derivatives of basic functions using the limit definition of the derivative.

5.      Students will be able to calculate derivative functions using the common rules: power, product, quotient, and chain rules, and be able to calculate the derivatives of polynomials, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions.

6.      Students will be able to use implicit differentiation and logarithmic differentiation.

7.      Students will know that the Mean Value Theorem can be used to prove the Increase/Decrease Test. Student will use knowledge of derivatives in applications including, but not limited to, maximum-minimum problems, shapes of curves, indeterminate forms, and L’Hôpital’s Rule.

8.      Students will be able to calculate antiderivatives for basic functions using their knowledge of derivatives.

9.      Students will be able to use the definition and geometric interpretation of the definite integral to evaluate definite integrals of basic functions.

10.  Students will be able to use the Fundamental Theorem of Calculus to evaluate definite integrals.

 


Instructor Information
 

Dr. Sarah Holliday

Office Address: MS-017

Telephone number: 470-578-4923

Email address: shollid4@kennesaw.edu

Office hours: MW 1-2pm, and by appointment

 

 

Accommodations for students with disabilities

 

"Important notice: Any student who, because of a disabling condition, may require some special arrangements in order to meet the course requirements should contact the instructor as soon as possible to arrange the necessary accommodations. Students should present appropriate verification from KSU Student Disability Services. No requirements exists that accommodations be made prior to completion of this approved University process."

 

 

Course Materials:

Textbook: Single Variable Calculus, Early Transcendentals, 1st edition, by Michael Sullivan and Kathleen Miranda.  This is available at the university bookstore and will likely come bundled with a LaunchPad code.

 

Technology policy: Students will want access to an internet-connected computer; there are several computer labs for student use (e.g., in the library).  The TI-83/84 calculator is used for this course. You may NOT share calculators during quizzes or exams. The use of cell phones, pagers, text or other messaging devices is not allowed during class.

 

D2L Brightspace: Course information will be posted on D2L, periodically. 

 

Online Resource:  LaunchPad (includes access to the complete eText version of Single Variable Calculus, Early Transcendentals, 1st edition). Used for required homework. New books purchased at the KSU and General bookstores should come bundled with a student access code for LaunchPad.  Anyone just wanting to purchase the student access code for LaunchPad (without purchasing the textbook) can either purchase the LaunchPad code at the bookstore, or present their plastic online at the LaunchPad website to subscribe. Temporary access while awaiting financial aid is available at the website. Access to the course’s specific copy of LaunchPad will be:

 

   http://www.macmillanhighered.com/launchpad/sullivancalculus/1900016

 

 

Homework, Quizzes and Examinations

 

Homework will be assigned daily, but will not be collected without advance warning. Questions on homework problems can be answered in Office Hours and/or in class. Quizzes will occur frequently, and occasionally without warning. Quiz questions will typically come from homework problems. There will be four in-class examinations, and a final.

 

 

Grading Policy

 

In-class tests will be valued at 15% each, quizzes and take-home assignments will total to 15%, and the final will be valued at 25%.

 

 

Absence

 

If I am contacted with an acceptable excuse before the date of the quiz or exam, then a makeup can be arranged. An acceptable excuse is in writing, contains the student's name, the date of the absence, a signature from a faculty member sponsoring the trip, contact information for the faculty member, and a brief mention of the nature of the trip.

 

 

Planned Calendar

 

AUGUST 2015

August 17 (M)                         First Day of Classes: 15-Week Session

August 17 (M) -24 (M)                        Drop/Add: All Sessions (ends 11:45pm on August 24)

August 31 (M)                         Final Payment Deadline

             

SEPTEMBER 2015      

September 2                           TEST 1

September 5 (Sa) -7 (M)         Labor Day Break - NO CLASSES

September 30                         TEST 2

             

OCTOBER 2015          

October 7 (W)                         Last Day to Withdraw Without Academic Penalty

October 28                              TEST 3

             

NOVEMBER 2015       

November 18                          TEST 4

November 23 (M) -29 (Su)      Fall Break - NO CLASSES (Monday – Sunday)

             

DECEMBER 2015       

December 7 (M)                     Last Day of Classes

December 9                            Final Exam 1:00 pm - 3:00 pm, MS 108

December 15-17 (Tu-Th)        Graduation: Kennesaw Campus

December 17 (Th)                   Final Grades Due: 5:00 pm

 

 

Withdrawal Policy
 

Students who find that they cannot continue in college for the entire semester after being enrolled, because of illness or any other reason, need to complete an online form. To completely or partially withdraw from classes at KSU, a student must withdraw online at www.kennesaw.edu, under Owl Express, Student Services.

 

The date the withdrawal is submitted online will be considered the official KSU withdrawal date which will be used in the calculation of any tuition refund or refund to Federal student aid and/or HOPE scholarship programs. It is advisable to print the final page of the withdrawal for your records. Withdrawals submitted online prior to midnight on the last day to withdraw without academic penalty will receive a “W” grade. Withdrawals after midnight will receive a “WF”. Failure to complete the online withdrawal process will produce no withdrawal from classes. Call the Registrar’s Office at 770-423-6200 during business hours if assistance is needed.

 

Students may, by means of the same online withdrawal and with the approval of the university Dean, withdraw from individual courses while retaining other courses on their schedules. This option may be exercised up until October 7, 2015.

 

This is the date to withdraw without academic penalty for Fall Term, 2015 classes. Failure to withdraw by the date above will mean that the student has elected to receive the final grade(s) earned in the course(s). The only exception to those withdrawal regulations will be for those instances that involve unusual and fully documented circumstances.

 

 

Academic Integrity

 

Every KSU student is responsible for upholding the provisions of the Statement of Student Rights and Responsibilities, as published in the Undergraduate and Graduate Catalogs.  Section II of the Statement of Student Rights and Responsibilities addresses the University's policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification of University records or academic work, malicious removal, retention, or destruction of library materials, malicious/intentional misuse of computer facilities and/or services, and misuse of student identification cards.  Incidents of alleged academic misconduct will be handled through the established procedures of the Department of Student Conduct and Academic Integrity (SCAI), which includes either an "informal" resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct's minimal one semester suspension requirement.

 

 

Detailed list of topics

 

Chapter P: Preparing for Calculus
         P.1 Functions and their Graphs
         P.2 Library of Functions; Mathematical Modeling
         P.3 Operations on Functions; Graphing Techniques
         P.4 Inverse Functions
         P.5 Exponential and Logarithmic Functions
         P.6 Trigonometric Functions
         P.7 Inverse Trigonometric Functions
         P.8 Technology Used in Calculus
 
Chapter 1 Limits and Continuity
         1.1 Limits of Functions Using Numerical and Graphical Techniques
         1.2 Limits of Functions Using Properties of Limits
         1.3 Continuity
         1.4 Limits and Continuity of Trigonometric, Exponential, and Logarithmic Functions
         1.5 Infinite Limits; Limits at Infinity; Asymptotes
 
Chapter 2 The Derivative
         2.1 Rates of Change and the Derivative
         2.2 The Derivative as a Function
         2.3 The Derivative of a Polynomial Function; The Derivative of y=ex
         2.4 Differentiating the Product and the Quotient of Two Functions; Higher Order Derivatives
         2.5 The Derivative of the Trigonometric Functions
 
Chapter 3 More About Derivatives
         3.1 The Chain Rule
         3.2 Implicit Differentiation; Derivatives of the Inverse Trigonometric Functions
         3.3 Derivatives of Logarithmic Functions
         3.4 Newton’s Method
 
Chapter 4 Applications of the Derivative
         4.1 Related Rates
         4.2 Maximum and Minimum Values; Critical Numbers
         4.3 The Mean Value Theorem
         4.4 Local Extrema and Concavity
         4.5 Indeterminate Forms and L’Hôpital’s Rule
         4.6 Using Calculus to Graph Functions
         4.7 Optimization
         4.8 Antiderivatives; Differential Equations
 

Chapter 5 The Integral
         5.1 Area
         5.2 The Definite Integral
         5.3 The Fundamental Theorem of Calculus
         5.4 Properties of the Definite Integral
 

©