Course Descriptions & Syllabi

Course Descriptions & Syllabi

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Areas of Study | | MATH130 syllabus




COURSE NUMBER: MATH130
COURSE TITLE:Calculus & Analytic Geometry II
DIVISION:Sciences
IAI CODE(S): M1 900 MTH 902 EGR 902
SEMESTER CREDIT HOURS:5
CONTACT HOURS:75
STUDENT ENGAGEMENT HOURS:225
DELIVERY MODE:In-Person

COURSE DESCRIPTION:
The second course in calculus and analytic geometry. Topics include techniques of integration and differentiation of exponential, logarithmic, trigonometric, and hyperbolic functions; limit of indeterminate forms; polar coordinates; parametric equations; conic sections; infinite series. Both the understanding of theoretical concepts and the ability to use manipulative techniques are considered of prime importance. A TI-83 or better calculator is recommended.

PREREQUISITES:
Completion of MATH120 (Calculus & Analytic Geometry I, M1 900 EGR 901 MTH 901) with a grade of C or better.

NOTES:

This course involves a great deal of work on student's part and would be nearly impossible for the student to master the content without persistently working the problems. As prerequisite, students are expected to possess the knowledge of calculus I. Students are expected to spend an additional 5-6 hours per week outside of class to complete all assignments. To achieve the general education goals and learning outcomes, students will communicate meaningfully in writing while presenting information. Students will translate quantifiable problems into mathematical terms and solve these problems using mathematical operations. Students will construct graphs and charts, interpret them, and draw appropriate conclusions.

Course activities include
  1. Speaking Assignments: students will present research individually or in groups using current technology to support the presentation; students will participate in discussions and debates related to the topics in the lessons.
  2. Case Studies: Complex situations and scenarios will be analyzed in cooperative group settings or as homework assignments.
  3. Lectures: This format will include question and answer sessions to provide interactivity between students and the instructor.
  4. Videos or Invited Speakers: Related topics will provide impetus for discussion. The class web page is updated every week, which provides supplemental information such as announcements, lecture notes, homework assignment, and students' grades.


STUDENT LEARNING OUTCOMES:
Upon completion of this course, students will be able to:
  • Clearly relate interpretation of solutions to standard algebraic and calculus-driven application problems.
  • Achieve strong critical thinking skills in terms of problem solving. Students are expected to be able to determine from any initial question of any of the following that apply:
    1. The meaning and importance of all given information
    2. the primary unknown for which a solution is desired
    3. any secondary unknowns or relationships that may be required
    4. proper understanding of the techniques required to move toward solution
    5. a proper understanding of the meaning of the solution, and
    6. ability to interpret and properly explain the solution
  • Clearly show work or provide clear explanation as how to setup and generate a solution for application problems.
  • Correctly make use of graphing calculators as a supplemental tool and to check work through graphing technique.
  • Use, understand and write all required algebraic symbols and abbreviations.

TOPICAL OUTLINE:

MATH130 is a 16-week course. The following list is the time spent on each topic. Students who successfully complete the course will demonstrate the following outcomes by properly finishing their regular homework, quizzes, tests, projects, presentations, and a final exam. Students will translate quantifiable problems into mathematical terms and solve these problems using mathematical operations. Students will construct graphs and charts, interpret them, and draw appropriate conclusions. Students will communicate meaningfully in writing while presenting information and provide solutions with the procedure, results, organization, diagrams and other details necessary for another person to review.

The student should be able to understand and apply the following:
  • Differentiation and integration of exponential, trigonometric, hyperbolic, and logarithmic functions. (week 1-2)
  • Evaluation of indeterminate forms of limits, L'Hopital's rule. (week 3)
  • Solution of elementary first order ordinary differential equations. (week 4-6)
  • Use of several techniques of integration, including the following techniques: (week 7-9)
    • Integration by parts
    • Partial fraction expansion
    • Trigonometric substitution and hyperbolic substitution
    • Approximate integration using the midpoint, trapezoidal, and Simpson's rule
    • Integration of improper integrals
  • Integration and differentiation of polar functions. (week 10)
  • Integration and differentiation of parametric equations. (week 11-12)
  • Properties of conic sections. (week 13)
  • Convergence and divergence of infinite series. (week 14-15)
  • Taylor and Maclaurin series. (week 16)

TEXTBOOK / SPECIAL MATERIALS:

Edwards & Penney, Calculus with Analytic Geometry, 7th Edition, Prentice-Hall, 2008.

A TI-83 or better calculator is recommended.

See bookstore website for current book(s) at https://www.dacc.edu/bookstore

EVALUATION:

The student will be evaluated on the degree to which student learning outcomes are achieved. A variety of methods may be used, such as tests, quizzes, class attendance and participation, reading assignments, projects, homework, presentations, and a final exam. Students are expected to completely solve homework problems as each section is assigned. Homework grade will be assigned based on the solution procedure, results, organization, and presentation. Each solution shall be explained with all the detail and diagrams necessary for another person to review. Three major separate sources will contribute to the grade in this course: Four hourly exams are given during the semester, which are composed by solving problems selected from each chapter. These hourly exams (including quizzes and projects) determine 50% of the grade. A comprehensive final exam is given at the end of the semester, which accounts for 30% of the grade. Homework (including presentation) and/or projects using programmable calculators or computers account for 20% of the grade.

Determination of grade based upon all work completed is as follows:
A= 90-100%
B= 80-89%
C= 70-79%
D= 60-69%
F= < 60%

BIBLIOGRAPHY:
  • Technical Calculus with Analytic Geometry by Peter Kuhfittig, (2005, Hardcover), Brooks/Cole Pub Co..
  • An Introduction to Analysis (2nd Edition) by James R. Kirkwood, (2002, Hardcover), Waveland Press, Inc.
STUDENT CONDUCT CODE:
Membership in the DACC community brings both rights and responsibility. As a student at DACC, you are expected to exhibit conduct compatible with the educational mission of the College. Academic dishonesty, including but not limited to, cheating and plagiarism, is not tolerated. A DACC student is also required to abide by the acceptable use policies of copyright and peer-to-peer file sharing. It is the student’s responsibility to become familiar with and adhere to the Student Code of Conduct as contained in the DACC Student Handbook. The Student Handbook is available in the Information Office in Vermilion Hall and online at: https://www.dacc.edu/student-handbook

DISABILITY SERVICES:
Any student who feels s/he may need an accommodation based on the impact of a disability should contact the Testing & Academic Services Center at 217-443-8708 (TTY 217-443-8701) or stop by Cannon Hall Room 103. Please speak with your instructor privately to discuss your specific accommodation needs in this course.

REVISION:
Spring 2019

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