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h0aR"Ij""P==".>l: Nebraska Wesleyan University
Math 1600: Calculus I
(5 credits)
Spring 2022
Instructor: Mrs. Jill Krienke
Office Hours: 7:40 8:10 a.m., 3:004:00 p.m. daily
Email: jkrienke@lakeview.esu7.org
Course Description: Calculus is the mathematical study of change. It is a relatively recent addition in mathematics having been discovered simultaneously by Sir Isaac Newton and Gottfried Leibniz in the 17th century. Calculus is used to describe motion and has multiple applications in mathematics, physics, engineering and other sciences. This class will study the two major concepts of Calculus: the derivative and the integral.
Calculus, like most mathematical courses, builds on prior knowledge. If you experience difficulties with this course, please make time to work with me outside of class. Ideally, you should begin this class with a strong background in algebra, trigonometry, logarithms and graphing. While we will take some time to review some of these concepts, ultimately you are responsible for your own learning. I am fond of saying that you cant forget any of the math you previously learned in order to be successful in Calculus.
Text: Calculus of a Single Variable, Third Edition, Smith and Minton, McGraw Hill 2008.
Grading:
Chapter Tests: 60%
Throughout the semester we will take 6 chapter tests.
Comprehensive Semester Exam: 15%
The semester exam is comprehensive in nature over all concepts of the course.
Homework: 25%
I will check your homework daily. It is important for you to keep organized notes and homework in this class.
Grade Scale: 10 Point Scale
98 100 = A+ 88 89 = B+ 78 79 = C+ 68 69 = D+
94 97 = A 84 87 = B 74 77 = C 64 67 = D
90 93 = A 80 83 = B 70 73 = C 60 63 = D
Calculus I is an introduction to single variable calculus. Topics include limits, continuity, differentiation and its applications, and beginning integration. Concepts include:
Preliminaries
Real numbers and the Cartesian Plane
Lines and Functions
Trigonometric Functions
Transformations of Functions
Limits and Continuity
Estimating the Slope of a Tangent Line to a Curve
Exploring Limits and Piecewise Functions
Computation of Limits
Continuity and its Consequences
Limits involving Infinity and Asymptotes
Differentiation
Tangent Lines and Velocity
Average and Instantaneous Rates of Change
Applying the Definition of Derivative to find f (x)
Computation of Derivative: Power Rule, Product Rule, Quotient Rule
Acceleration and HigherOrder Derivatives
Computation of Derivative: Chain Rule and Trigonometric Functions
Implicit Differentiation
Mean Value Theorem
Applications of Differentiation
Analyzing Local and Absolute Extrema
Analyzing Critical Numbers: Maximum and Minimum Values
Increasing and Decreasing Functions
Concavity and the Second Derivative Test
Curve Sketching
Optimization: Maximum and Minimum Applications
Related Rates
Applications of Rates of Change in Economics and the Sciences
Integration
Antiderivatives
Sums and Sigma Notation
Area Under a Curve and Riemann Sums
Definite Integral
Fundamental Theorem of Calculus
Integration by Substitution
Applications of the Definite Integral
Area Between Curves
Volume: Slicing, Discs and Washers
Volumes by Cylindrical Shells
Arc Length
Applications Involving Work
Dropping this Course
If a student doubts that he or she will be able to complete this course with a satisfactory grade, he or she should consult with the instructor about the option of dropping the course. If the student decides to drop the course from his or her college level experience, he or she must inform the Director of Nebraska Wesleyan University Honors Academy of the intention to drop. If this request falls after the established drop date for the Honors Academy courses, tuition is NOT reimbursed and a special petition will need to be filed for the student. If the college course is not dropped, and the student fails the course, a grade of F will appear on the transcript.
Adding Honors Academy course credit late:
Due to past requests to sign up for Honors Academy credit after the registration deadline, the following policy has been implemented:
Regular registration: Regular registrations must be submitted by the registration deadline noted on the registration form.
Late registration: Late registrations will be accepted for registrations sumbitted within two weeks of the registration deadline. There will be a $15.00 late registration fee assessed for late registrations postmarked between the registration deadline and two weeks after the registration deadline. The $15.00 fee should be included with the payment of the course. Failure to pay the fee will result in the student not being registered.
Late registration by committee petition: Students who wish to register for Honors Academy credit after the twoweek, late registration time period will have their request considered through the Universitys Academic Petition process. The student must have a legitimate reason for the request. The student must submit an Online Petition form found at honorsacademy.edu. The form must be approved the high school instructor who must support the legitimacy of the request. The petition will also require the approval of the Honors Academy director and the University College Dean. If permission to add is granted, the student must pay for the credit and the late registration fee immediately.
STUDENTS HAVING COMPLETED A HIGH SCHOOL COURSE WITHOUT REGISTERING FOR HONORS ACADEMY CREDIT WILL NEVER BE ALLOWED TO REGISTER AFTER THE FACT, UNLESS OUR ERROR KEPT THEM OUT.
Academic Integrity (Code of Conduct):
The Code of Student Conduct states that students found to have engaged in academic dishonesty, which encompasses such activities as cheating, plagiarism, unauthorized collaboration, misrepresentation, and bribery, are subject to disciplinary sanctions. (See Article V of the NWU Code of Student Conduct for a comprehensive listing of misconduct that is subject to disciplinary sanctions, as well as relevant terms and definitions.)
Faculty members have full authority in determining the action to be taken in cases of academic dishonesty.
In addition to implementing the statements of the course syllabus addressing academic dishonesty, faculty
may file a Report of Academic Dishonesty, or file a complaint with the University Judiciary. If a Report of
Academic Dishonesty is filed, a first report on a student prompts no further action. However, if a second report
for a student is filed, a formal complaint is submitted against the student with the University Judiciary. Any
report after a second will launch another complaint.
Complaints submitted to University Judiciary prompt a formal judicial investigation. Students should contact the Academic Affairs Office, Student Life Office, or Registrars Office for more information.
Nebraska Wesleyans Commitment to Students with Disabilities (ADA Policy)
Nebraska Wesleyan University seeks to maintain a supportive academic environment for students with disabilities. To ensure their equal access to all educational programs, activities and services, Federal law requires that students with disabilities notify the University, provide documentation, and request reasonable accommodations. If you need accommodations in this course please notify me so that I can verify that the required documentation is filed with the Academic Affairs Office and that your accommodation plan is in place.
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