Syllabus Spring 2019 PDF

Preview

Summary

Download Syllabus Spring 2019 PDF

Description

MATH 181

Calculus I

CRN 31476

Spring 2019

Tu, Thu 12:30-2:45PM

Room: SS 326

Professor: Dr. Amit Trehan 240-567-1441 [email protected] MP 248 Office Hours: W:12:40-3PM, Tuesday, Thursday: 2:50-3:30PM F: 3-4:20PM on Blackboard Course Description: Calculus I is intended primarily for students of the physical sciences, engineering and mathematics. An introduction to the major ideas of single variable calculus including limits, derivatives and integrals of algebraic and transcendental functions together with their applications will be covered. Course credit: four semester hours. Pre-requisite: A grade of C or better in Precalculus (MATH 165), appropriate score on mathematics assessment test or consent of department. Assessed levels: EN GL 101/101A, READ 120. Textbook: Stewart, James. Single Variable Calculus Concepts and Contexts, Third Edition. Thomson Brooks/Cole, 2005. Optional Resources: CD Rom Tec, CD Rom Interactive Video Skillbuilder, i-lrn Student Version. If these resources did not accompany your book, you may purchase them separately at http://series.brookscole.com/stewart Calculator: A graphing calculator is required. A TI 83 Plus or TI 83 is recommended. (TI-82 will also work) Teacher Expectations: 1.

Perfect attendance. You will be responsible for all material covered in class whether or not you were there. It is therefore important that you be in class on time and that you be in the classroom for the duration of the class. If you are not in class, I may contact you.

2.

Homework done on time --have questions ready at the start of the class.

3.

All tests MUST be taken at the appropriate time. There will be no make-up tests.

4.

Active productive participation in any group or class activities. When you come to class, you will be expected to be prepared to learn as much from the class as you possibly can.

5.

Study at least two hours outside class for each hour we spend in class. This amounts to a minimum of 10 hours per class meeting. You need to study no less than five or six times each week. Try using roughly thirty minutes shortly after our class meets in order to review what was presented/discussed in class that day.

6.

Students will seek extra help whenever problems surface --not just before tests. • See me--after all, I make-up and grade the tests. • Use Math Tutoring Facilities in P1 101D 7. Classroom behavior that is conducive to a college learning environment will be expected at all times. Please make sure that you obtain a copy of the Student Code of Conduct. You may view it online. Here is the procedure for doing so. (1) Go to http://www.montgomerycollege.edu (This is the College's homepage.) (2) Click on Student Services. (3) Look at the menu on the screen. Click on “Student Code of Conduct.” 8. Students shall not do anything with the computer during class unless instructed to do so. If they are instructed to use the computer, they are expected to use it only as instructed. 9. Cell phones need to be turned off during class. 10. Headphones are not to be worn during class.

Grading Procedure: 3 tests: 100 points each. HomeWork: 100 points (Webassign) Quizzes 100 points Final: 200 points. Total: 700 points 90% or better is an A; 80%-89% is a B. 70-79% is a C. 60-69% is a D. Less than 60% is an F.

Objectives: The student shall be able to . 1. Analyze functions: (a) Determine the domain, range, intercepts, asymptotes (vertical, horizontal, and oblique), inflection points, and extrema of functions (b) Determine where a function is concave up and concave down (c) Determine where a function is increasing or where it is decreasing (d) Determine whether a function is periodic, and if it is periodic, determine its period. (e) Determine where a function is continuous. (f) Sketch the graph. 2. Determine whether a function is one-to-one, and if it is one-to-one, find its inverse function. 3. Estimate the derivative of a function at a point. 4. Use the limit definition of the derivative to find the derivative, showing all steps. 5. Find derivatives of functions to include the product, quotient, and chain rules. 6. Find derivatives using implicit differentiation. 7. Find limits (including applications of the squeeze principle, limits of composite functions, and l'Hospital's Rule). 8. Find derivatives using implicit differentiation. 9. Sketch graphs of parametric equations and find the derivatives of functions expressed parametrically. 10. Find the average rate of change of a continuous function over a closed interval; find the instantaneous rate of change of a function at a point. 11. Find the average value of a function on a closed interval. 12. Apply Newton's Method. 13. Find the linear and quadratic approximations of a function. 14. State and apply The Mean Value Theorem, The Intermediate Value Theorem, and The Fundamental Theorem of Calculus. 15. Solve related rate problems. 16. Solve Max and Min problems stated in words. 17. Explain the relationship among Riemann sums, areas, and definite integrals. 18. Approximate areas with left rectangles, right rectangles, midpoint rectangles, and trapezoids. 19. Use the formulas or basic integrals as well as substitution to evaluate both definite and indefinite integrals. 20. Apply the properties of integrals.

Suggested Time-Topic Schedule: The material for this course is included in Chapters 1-4, and Sections 5.1-5.5 in the text. A suggested time-topic schedule for covering this material is given below. Please

Week 1 2 3

4 5 6

7

Text Assignments by Section Introduction, Section 1.1 and Section 1.2 Section 1.3 and Section 1.4 Sections 1.5 and 1.6 Sections 1.7 and 2.1 Section 2.2 Section 2.3 Sections 2.4 and 2.5 Sections 2.6 and 2.7 Sections 2.8 and 2.9 Section 2.10 Sections 3.1 and 3.2 Section 3.3 Sections 3.4 and 3.5 Section 3.6 and Begin 3.7

8 Complete 3.7 and 3.8 Section 4.1 9

10 11 12

Section 4.2 Section 4.3 Sections 4.4 and 4.5 Section 4.6 Sections 4.7 and 4.8 Section 4.9 Section 5.1 Section 5.2

13 14

5/7/2019 Tuesday

Section 5.3 Section 5.3 and Begin 5.4 Complete 5.4 and Begin Section 5.5 Complete 5.5 Final Exam Comprehensive 12:30-2:30PM

STUDY TIPS: You need to spend a minimum of two (2) hours in study time outside of class for each hour inside class. This will, of course, vary according to your understanding of and previous practice with the various topics being discussed. While doing your work outside of class, make notes about things you are having trouble with or wish additional explanations for. For example, one effective study technique is Write out your practice exercises. [Then you can ask questions in class.] Use the Math/Science Learning Center (SN 101) or Math Tutoring (P1 101D). Work with a (new) friend or two. Talk (aloud) and listen as well as write when you study. Don’t forget to check your logic and your numerical/algebraic/graphical results.

You need to study no less than five or six times each week. You may wish to use more frequent, less lengthy, study sessions by spreading your 10 or more weekly study hours over each entire week. Try using roughly thirty minutes shortly after class the day that it meets in order to help consolidate what was presented/discussed there. You are advised to keep a separate notebook for this course. Remember: Learning mathematics requires time, patience, and practice

Other Important Information •

Support Services: Any student who needs disability accommodations, please see me either this week or next week during my office hours. A letter from Disability Support Services authorizing your accommodations will be needed. The disability support counselors on the Takoma/Silver Spring Campus are located on the first floor of the Student Services Building.

•

If you wish to withdraw from a class, you must complete the appropriate papers. If you do not attend class and do not officially withdraw from the class, you may receive an F in the class.

•

Policy on Academic Integrity: Cheating, plagiarism and/or other forms of academic dishonesty will not be tolerated. Refer to the Student Code of Conduct (the URL I have listed above). During quizzes or exams, papers, notes, and calculators may not be shared; each student is expected to focus only on his/her own paper. During quizzes or tests, students should not leave the room.

•

Classroom Conduct: In order for learning to occur, it is necessary that the classroom environment be one of mutual respect. If a student behaves in such a way that 1) demonstrates a lack of respect, 2) interferes with the educational process or 3) violates the Student Code of Conduct, instructors are responsible for advising the student of the inappropriate behavior and granting her/him an opportunity to correct it. A student who fails to correct this behavior will be asked to leave the class and will be subject to disciplinary action as outlined in the Student Code of Conduct.

•

Cancellation of Classes: If inclement weather forces the College to close, public service announcements will be provided to local radio and television stations as early as possible. If you have checked several stations and have not heard the announcement, you may call the Montgomery College Information Line at 240-567-5000 or go to our Web site at http://www.montgomerycollege.edu for closing information. Classes may be cancelled for the other public schools in Montgomery County, but not be cancelled at Montgomery College.

Homework: This will take many hours each week. You will have a reading assignment and a WebAssign homework assignment almost daily. Read the relevant chapter before doing the exercises! I may give occasional reading quizzes to assess how well you are working through the sections in the text. You are expected to attempt problems from each set when it is assigned, invest thoughtfully in each problem, and be prepared with any questions you have at the next class meeting. You are encouraged to study and work on problems in pairs or in groups, and to challenge each other to explain the steps and choices you make as you solve a problem. This is more important to your learning than my lectures. You will be responsible for concepts and techniques assigned in the reading and problem sets, whether or not they end up discussed during class time. I may occasionally ask you to present homework problems to the class.

*NOTE: WebAssign sells access to its HW system, access to an online e-book, and also bundles containing both. The HW system is mandatory for this course. And while the text is also mandatory, you do not need to purchase the e-book if you already have a physical copy of the book (say, from MA181). You will be given the option to include the e-book or not when you pay for WebAssign online. You can also purchase the bundles at the bookstore. If you wish to purchase WebAssign online, you may do so at webassign.net. To do so, you will need our Class Key for which separate instructions have been e-mailed and will be posted on the blackboard website for this class. InstructorSectionClass Class Key for Webassign: montgomerycollege

9431 5075

Important Dates: • •

January 28 :Last date to drop with full refund February 11: Last day to drop most classes without a grade or change from credit to audit or audit to credit.

•

April 15: Last day to drop a class with a grade of W. Withdrawals must be done before 5 p.m. Late online attempts to withdraw will automatically generate an F.

•

Final Exam:Tuesday May 7, 2019 12:30-2:30PM....