Summer Online


Introduction to Calculus

Math 163A--Four Quarter Hours


Jane Els
Morton Hall
Ohio University--Athens Campus
elsj@ohio.edu

Please refer to the complete final course syllabus available on the course Website once the course begins.


Course
Description

Presents a survey of basic concepts of calculus. For students who want an introduction to calculus, but do not need the depth of 263A-B-C. Note: Students cannot earn credit for both 163A and either 263A or 266A.

Prerequisites

(MATH 113 OR PLACEMENT LEVEL 2 OR HIGHER) & (NOT MATH 263A OR 266A).



Methods of Course Instruction

Students will print lecture notes from Blackboard and then watch the associated video lecture in Blackboard to complete notes.  Then students will complete suggested homework problems.  Students will also participate in discussion boards online-once individually and three times in a group.  The group forums will be submitted by email. Students are welcome to ask questions of the instructor by email or by telephone.

Course Objectives

(as stated on the Ohio University Math Department Website)

  • Understand the business terminology of demand, cost, price, revenue, and profit.

  • Use linear, polynomial, rational, algebraic, exponential and logarithmic functions in business applications.

  • Determine the limits of functions graphically, numerically, and analytically.

  • Recognize and determine infinite limits and limits at infinity.

  • Determine the continuity of functions at a point or on intervals.

  • Understand the interpretation of the derivative as the slope of a line tangent to a graph and as the rate of change of a dependent variable with respect to an independent variable, and determine the derivative of a function using the limit definition.

  • Use differentials in approximation problems.

  • Determine derivatives using the power rule, sum & difference rules, product rule, quotient rule, and chain rule.

  • Determine derivatives of Exponential and Logarithmic Functions

  • Understand the business terminology of marginal quantities, including marginal cost, marginal revenue, and marginal profit.

  • Determine higher order derivatives of a function.

  • Understand velocity as the derivative of position and acceleration as the 2nd derivative of position

  • Determine the absolute extrema of a continuous function on a closed interval.

  • Use the first and second derivatives to analyze and sketch the graph of a function, including determining intervals on which the graph is increasing, decreasing, constant, concave up, concave down, and finding relative extrema and inflection points.

  • Apply differential calculus to business applications.


General Course Requirements

  • Students are required to participate in one individual discussion board and three group discussion boards.  The group discussion boards involve completing a set of book exercises which the group has about 5 days to discuss online and then they choose a member to submit the final answers by email. 

  • Students also complete 4 multiple-choice quizzes online.  The lowest quiz score is dropped.

  • Students complete a proctored, pencil/paper final exam at a convenient testing site.

  • Students are encouraged to print notes & watch video lectures in Blackboard and then work the suggested homework problems to help prepare themselves for quizzes and discussion boards. (Although, the suggested homework is not collected, students that complete the suggested exercises tend to perform better in the course).


Materials

Required

Text(s)
Calculus for Business, Economics, Life Sciences, and Social Sciences, Eleventh Edition by Barnett, Ziegler, and Byleen ISBN:  0-13-232818-6


Note:
The books for the course are in stock at College Bookstore, (740) 594-3505. Click here for online ordering.


Exams
Requirements

Four multiple-choice online quizzes and Final Exam paper and pencil - Proctoring required for final exam

How are exams to be taken: 4 multiple-choice quizzes (lowest score dropped) taken online with notes/calculator

Final Exam –paper/pencil, proctored in testing center, calculator allowed

Dates of Exams
Dates of exams will be listed in the “Course Schedule” found under “Course Documents” on Blackboard. Typically quizzes are made available on a Friday morning and are due by 10 pm the following Wednesday.


Call the Ohio University Online Staff at 1-888-551-6446 if you have questions about this course or the enrollment process.


Call the education counselors the division of Lifelong Learning at (740) 593-2910 if you have questions about Ohio Degree Opportunities.