Syllabus

Madisonville Community College: Fall 2008

MT175 Calculus I

Section 7501 Class#36441 MW 9:30-11:50

 

Instructor: Dan Schultz

 

Office: JCD 111

Email: dan.schultz@kctcs.edu

Tel: (270) 824-1841

Home Page: http://www.madisonville.kctcs.edu/facstaf/dschultz/

 

Office hours:

M, W   3:30-4:30

T, R     10:00-11:00, 3:30-4:30

*others by appointment

Math Lab T 11:00-11:50

 

Official Course Description:

Examines one-variable calculus including limits, differentiation and integration of algebraic, trigonometric, exponential, logarithmic, hyperbolic, and inverse trigonometric functions with applications.

 

Prerequisite:

Successful completion of MT150 College Algebra and MT155 Trigonometry OR Math ACT score of 26 or above.

 

Course Objectives (Competencies):

  • Approximate limits graphically and numerically and evaluate limits analytically.
  • List the conditions for the continuity of a function at a point and determine the intervals of continuity of a function.
  • Evaluate infinite limits and limits at infinity.
  • Define the derivative of a function and evaluate the derivative of a function using the definition.
  • Evaluate the derivative of a function using differentiation rules for algebraic and trigonometric functions as well as product, quotient, and chain rules.
  • Use the derivative of a function to find the equation of the line tangent to the graph of the function at a given point.
  • Sketch the graph of a function using the first and second derivatives to determine the critical points, intervals on which the function is either increasing or decreasing, relative extrema, intervals on which the graph is either concave up or concave down, and inflection points of the function.
  • Use implicit differentiation to find the equation of the line tangent to the graph of an equation at a given point.
  • Use derivatives to solve application problems including problems involving related rates and optimization.
  • Define the differential and use differentials to approximate function values.
  • Use Riemann sums to find the area under a curve.
  • Find indefinite and definite integrals of a function using integration rules for algebraic and trigonometric functions.
  • Find definite and indefinite integrals using substitution.
  • Find the average value of a function on an interval
  • Use definite integrals to find the area under a curve and the area between two curves.
  • Find derivatives of exponential, logarithmic, inverse trigonometric, hyperbolic, and inverse hyperbolic functions.
  • Find integrals of exponential and logarithmic functions.
  • Find integrals using inverse trigonometric and inverse hyperbolic functions.

 

Textbook Required:

“Calculus” (8th edition) by Larson, Hostetler & Edwards

 

Supplies:

Notebook, graph paper, and graphing calculator.

 

Course Outline:

Exam #1: Chapter P and Chapter 1 Review Material & Limits

Exam #2 : Chapter 2 Derivatives

Exam #3 : Chapter 3 Applications of Derivatives

Exam #4 : Chapter 4 Integration

Exam #5: Chapter 5 Derivatives and Integrals of Transcendental Functions

Final Exam: Comprehensive

 

Student Code of Conduct:

The student is required to comply with the KCTCS Code of Student Conduct. Plagiarism and cheating, as well as the sanctions for these offences, are defined in this code. For more information on academic rights, academic offences, and the right to appeal, see Section VII, 1.0, pg 96 of the student code. The code can be accessed at www.kctcs.edu/student/code.htm.

 

 

ADA Requirements:

If you have a documented disability and need any type of accommodation, you are required to register with the Disability Resource Coordinator, Valerie Wolfe, Room 112 in the LRC building. Her telephone number is 270-824-1670.

 

Grading Criteria/Late Work/ Makeup Policy:

Five exams will be given. Makeup exams will be given only for extremely serious and verifiable reasons. There will be many quizzes during the semester, sometimes announced sometimes not. Quizzes will usually be given at the beginning of class. Students absent or those who arrive late will miss the quiz as no makeup quizzes will be given. The final exam will be comprehensive and mandatory. You must take the final exam!

 

Your final grade will be based on the following:

Exams 70%

Quizzes 5%

Homework & Participation 5%

Projects 10%

Final Exam 10%

 

Letter grades will be assigned based on the final grade using the scale

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

 

 

Attendance & Participation:

It is your responsibility to contact me in a reasonable period of time about missed class work. Missing one class meeting in a 5 credit hour can be a setback from which it is hard to recover. Students leaving early will be counted absent ˝ class. Students are expected to show up for class on time with all required supplies.

 

Withdrawal Policy:

The last day to withdraw from the course and receive a grade of “W” is Monday October 6th. After October 6th the instructor must approve any withdrawals.

 

 

Projects:

Four group projects will be assigned during the semester. These projects will generally be due 1 week after they are assigned.

 

 

 

 

 

 

 

 

 

 

General Education Competencies:

I.       Communicate Effectively

            1.         Read and listen with comprehension.

            2.         Speak and write clearly using standard English.

            3.         Interact cooperatively with others using both verbal and non-verbal means.

4.         Demonstrate information processing through basic computer skills (or calculator skills).

Method of Assessment: Written explanation of mathematical problems will be required of each student on both exams and homework. Students will be graded on the quality of their writing as well as the content. Mathematical arguments are expected to be clear, complete, and well organized.

II.      Think Critically                 

1.         Make connections in learning across the disciplines and draw logical conclusions.                                                                                  

2.         Demonstrate problem solving through interpreting, analyzing, summarizing, and/or integrating a variety of materials.

3.         Use mathematics to organize, analyze, and synthesize data to solve a problem.

Method of Assessment: Exams and/or homework will consist of a significant number of application problems and/or projects. Students are expected to develop an organized approach to problem solving. Students will be graded on the process of solving a problem, not just the correct answer.

III.     Learn Independently

1.         Use appropriate search strategies and resources to find, evaluate, and use information.

2.         Make choices based upon awareness of ethics and differing perspectives/ideas.

3.         Apply learning in academic, personal, and public situations.

4.         Think creatively to develop new ideas, processes, or products.

Method of Assessment: Exams and/or homework will consist of many application problems on which the student will be expected to demonstrate traditional work ethics of responsibility, attendance, class participation, and cooperation.

IV.     Examine Relationships in Diverse and Complex Environments

1.         Demonstrate an awareness of the relationship of the individual to the biological and physical environment.

2.         Develop an awareness of self as an individual member of a multicultural global community.

Method of Assessment: Students will be expected to demonstrate respect to the instructor and other students in the class, open-mindedness towards different approaches to problem solving, and willingness to learn from each other. Students will be required to relate mathematics to the real world and understand how mathematics can be used to better understand complex phenomenon.