OAKTON COMMUNTIY COLLEGE MAT180-003 SYLLABUS Instructor: Jinhee Canfield Phone: 847-376-7134 Office: 2524, DP Email: jcanfiel@oakton.edu – the quickest way to reach me OFFICE HOURS: M/W 11:50am – 1pm, T/R 9am – 10am For important course dates for this semester, please see: http://www.oakton.edu/academics/acad_calendar/index.php I. Course Course Course Prefix Number Name MAT 180 Calculus for Business Credit: 4 Lecture 4 Lab 0 and Social Science II. Prerequisite: MAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test. III. Course (Catalog) Description: This course introduces the concepts of functions and relations and the basic ideas of differential and integral calculus with applications to the fields of social science and business. IV. Learning Objectives: 1. functions. Graph and perform operations with rational, exponential and logarithmic 2. Compute limits of functions. 3. Determine continuity of functions. 4. Use the definition of the derivative to differentiate basic functions.. 5. Use differentiation rules to evaluate derivatives of algebraic, exponential and logarithmic functions. 6. Use derivatives to solve optimization problems, motion problems, and problems involving rates of change. 7. 8. integration Use derivatives to analyze functions and their graphs. Evaluate indefinite and definite integrals using various techniques of including substitution and integration by parts. 9. Calculate areas between curves using definite integrals. 10. Calculate partial derivatives of functions of more than one variable. 11. Apply the concepts of differentiation and integration to business and social science models. 12. Use technology to find limits, derivatives, and integrals. V. Academic Integrity: Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton’s Code of Academic Conduct. This code prohibits: cheating, plagiarism (turning in work not written by you, or lacking proper citation), falsification and fabrication (lying or distorting the truth), helping others to cheat, unauthorized changes on official documents, pretending to be someone else or having someone else pretend to be you, making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity. There are serious consequences to violations of the academic integrity policy. Oakton’s policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years. Details of the Code of Academic Conduct can be found in the Student Handbook. VI. Outline of Topics: 1. 2. 3. Functions and Limits a. Functions and their graphs b. Operations with functions c. Limits d. Infinity and limits e. Continuity The Derivative a. Definition of the derivative b. Differentiation rules for sums, products and quotients of functions c. Polynomial, rational and other algebraic functions d. The Chain Rule e. Higher order derivatives f. Implicit differentiation Further Applications of the Derivative a. Increasing and decreasing functions b. Extrema and the First-Derivative Test c. Concavity and the Second-Derivative Test d. Optimization Problems e. Business and economics applications f. Curve sketching g. Differentials and marginal analysis 4. 5. 6. 7. Exponential and Logarithmic Functions a. Derivatives of exponential and logarithmic functions b. Exponential and logarithmic integrals c. Exponential growth and decay Integration and Its Applications a. Definition and properties of the indefinite integral b. Fundamental Theorem of Calculus c. The area of a region bounded by two graphs Techniques of Integration a. Integration by substitution b. Integration by parts and present value c. Integration tables and completing the square Functions of More than One Variable a. b. 8. Definition Partial derivatives Recommended Technology a. Graphically, numerically and/or symbolically find limits b. Graphically, numerically and/or symbolically find derivatives c. VII. Numerical and symbolic integration Methods of Instruction: Lectures, whole-class discussion, student self-checking, regularly assigned homework (via ‘MyMathLabs Plus’). ‘MyMathLabs Plus’ Bundle is required.(it is not required to purchase a textbook for this course unless students want to have it) VIII. Course Practices Required: Attendance: There are no points for attendance. However, when a student is at the border line of two grades (for example, between 88.0 and 89.9), the attendance record will be used to help break the tie. Early leaving and late arrivals eventually count as full absences. Any student who misses class for any reason is completely responsible for missed materials, regardless of whether I can provide them conveniently after the fact. Any student who misses class will be expected to be in the same class schedule as those who were present. There are no excused absences with the exception of religious holidays. All four tests will be an ‘online test’ and will be taken in a computer lab. Test I: Sep 18, 2014(Thursday) – room 3601 Test II: Oct 16, 2014(Thursday) – room 3601 Test III: Nov 13, 2014(Thursday) – room 3601 Test IV: Dec 16, 2014(Tuesday) – room 3601 Missed Test: If a student misses a test, a makeup exam may be taken, but it will be slightly harder than the original exam. Please email me to arrange the make-up test. It is your responsibility to email me and retake the test by Saturday of the same week that the original test was taken. Homework and ‘Chapter Quiz’: Turn in your homework and ‘chapter quiz’ through ‘My Labs Plus’ via ‘my Oakton’. (70% or above will be credited fully.) Students may have one-to-one meetings with the course instructor three times during the semester, so that students can check their progress and get help in a timely manner throughout the whole semester. The course will contain two computer lab activities(Sep 9th – room 2625 and Nov 6th– room 3601) in order to get familiarized with online support. IX. Instructional Materials: Book: Calculus for Business, Economics, and the Social and Life Sciences Author: Barnett; 13/e Publisher: Pearson Copyright: 2015 Text only ISBN: 0321869834 Text with MyLabsPlus Access Code: 126986064X MyLabsPlus Standalone Access Code: 0558926800 Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes. Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information". Textbooks can also be found at our Mathematics Textbooks page. A graphics calculator is required. A TI-83/84 will be used for instructional purposes. For help with calculators, please feel free to visit: http://www.prenhall.com/divisions/esm/app/calc_v2/ X. Methods of Evaluating Student Progress: The final grade will be given based on: 20% from HW(70% or above will be fully credited– you can re-do it unlimited times) 20% from ‘Chapter Quiz’(70% or above will be fully credited– you can re-do it unlimited times) 60% from Tests (4 Tests- Each test will be taken only once) **Homework and Quizzes : Turn in your homework/quizzes through ‘My Labs Plus’ via ‘my Oakton’. 1. 70% or above: full credit 2. 60% - 69%: 90% of the full credit 3. 50% - 59%: 80% of the full credit 4. Below 50%: no credit A: 90%-100%, B: 80%-89%, C: 70%-79%, D: 60%-69%, F: 0%-59% XI. Other Course Information: Incomplete Grade: Any incomplete grade will be subject to a student having passed the Midterm (70% or above on the first two Tests), and other individual considerations like a documented hardship near the end of class. No cell phone can be used for any test. Bring your calculator for each test. If you want to chat during the class, please do so outside the lecture room. Special Needs: If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in the Learning Center. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program. For important dates, please check http://www.oakton.edu/academics/acad_calendar/index.php