Syllabus - MATH Calculus I

Size: px

Start display at page:

Download "Syllabus - MATH Calculus I"

Lindsay Hoover
6 years ago
Views:

1 Syllabus - MATH Calculus I I. Course number and title MAT 2413: Calculus I II. Instructor Dr. Jaime L. Hernández, B.S., Ph.D. Phone: , box: # jaime.hernandez@hccs.edu Conference hours: by appointment III. Textbook Calculus With Analytic Geometry, by Larson, Hostetler, and Edwards. Ninth edition. Houghton Mifflin Company IV. Course description An integrated study of differential calculus with analytic geometry including the study of functions, limits, continuity, differentiation, applications of differentiation, and an introduction to integration. V. Course prerequisites Before enrolling in this course, the student must have successfully completed MATH 2412 with a grade of "C" or better (a semester of precalculus: functions and graphs, including trigonometry). VI. Student Learning Outcomes and Objectives Student Learning Outcomes 1. Demonstrate efficiency in algebraic manipulation of elementary and trigonometric functions. Course Objectives 1.1 Describe the basic concepts of mathematical functions and the various types of functions, which exist. 2. Show an understanding of limits and their relationship to the concept of continuity. 2.1 Demonstrate knowledge of the concept of the limit of a function at a point and the properties such limits possess. 2.2 Demonstrate knowledge of the idea of continuity of a function

2 3. Differentiate elementary and trigonometric functions. 4. Apply calculus techniques to sketch the curves of certain types of elementary functions. 2.3 Recognize the discontinuity points of certain types of elementary functions. 3.1 Differentiate various types of mathematical functions and know the meaning of the various orders of the derivatives including applications. 3.2 Differentiate the trigonometric functions with applications. 4.1 Use calculus to sketch the curves of certain types of elementary functions VII. Specific course instructional goals This course shall aim to accomplish the following general goals: 1. To strengthen the students ability to think and reason critically, rigorously and logically. 2. To further develop the students quantitative skills and knowledge. 3. To introduce the fundamental concepts for advanced courses in calculus and for applications in related fields. 4. To describe the concept of function and the various types of mathematical functions. 5. To introduce the concept of limit of a function at a point, the properties of such limits and their relation to the concept of continuity of a function. 6. To explain how to differentiate various types of mathematical functions, the interpretation of the various orders of derivatives, and their applications. 7. To describe the discontinuity points of certain types of elementary functions. 8. To show the differentiation of trigonometric functions and applications. 9. To illustrate the use calculus to sketch curves of elementary functions. 10. To introduce integration of functions and its use in finding area under a curve. VIII. Course expectations The student shall: 1. Meet the course prerequisites by the time the course starts.

3 2. Attend all class sessions in a timely manner. 3. Involve him(her)self in class discussions by taking clear and organized notes, asking questions and/or answering inquiries from the instructor. 4. Read, while assuring comprehension, the sections in the textbook as they are covered in class. 5. Complete homework assignments by the time they are due. 6. Study (includes reading the textbook, completing homework assignments, reviewing class notes, seeking help from the instructor or any other recognized authority in the subject, etc.) for as long as it takes to ensure understanding of the course material and successful performance in the course. 7. Perform satisfactorily in all written assessment tools. 8. Obtain individualized help from the instructor during conference hours (to be announced in class) or by appointment, when necessary. 9. Make use of the tutorial help available in the Math Lab and Tutoring Center (room 152B) as needed. IX. Course policies and regulations 1. The final exam will be used to substitute at most ONE missing exam grade. This will be allowed rarely, ONLY under exceptional circumstances, and at the instructor s discretion. A student missing an examination shall provide original, appropriate documentation justifying their absence in order to be given this opportunity. This exam is required, comprehensive and counts as TWO grades (200 points). 2. Class attendance and timeliness are not only appreciated but REQUIRED and will be recorded. Any student missing over 12.5% of the class time (8 hours or 4 lecture periods) MAY BE DROPPED from the course. Walking in late or leaving early over 20 minutes to a lecture will be considered an absence. The student is responsible for materials covered during his/her absences. Please inform the instructor of any circumstances which may be causing excessive absenteeism or tardiness.the student is ultimately responsible for dropping officially from the course and a grade of "F" may result if the student stops attending the class but does not drop the course. 3. No "W s" or "WF s" will be assigned past the last day to officially withdraw from a course as scheduled in the HCCS academic calendar. After such date, only the grades A, B, C, D or F will be used for evaluation. 4. A scientific or, preferably, graphing calculator may be used for homework assignments and tests. The student will bring it to the lecture sessions for class discussions and work.

4 The instructor reserves the right to NOT allow the use of graphing calculators in certain exams. In such cases, the students will be advised in advance by the instructor. 5. Scholastic dishonesty can result in dismissal from the entire Houston Community College System and will not be tolerated. Any student caught "cheating" in a test will be dropped from the course with a grade of "F." Any talking, sharing of information in any manner, or referring to books or notes during an examination will be considered dishonest behavior. Please refer to the Student Handbook for more information on student conduct. 6. Americans With Disabilities Act (ADA): Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester. Faculty is authorized to provide only the accommodations requested by the Disability Support Services Office. For questions, please contact Donna Price at or the Disability Counselor at your college. At the Southwest College, please contact Dr. Becky Hauri at Homework will be assigned, completed and turned in using WebAssign, an online learning and assessment interactive website ( Its completion and comprehension will be monitored and discussed in class. The homework grade counts like one test (100 pts.). The student is responsible for understanding and completion of assignment exercises before their deadlines, and should use class discussions and conference hours to obtain help when having difficulties with the material. 8. Class meets twice a week for two hours. Exams may last one hour (with the exception of the final exam which lasts 2 hours) and cover only half of the class time. The rest of the time on exams days may be devoted to either review (if before the exam) or to start new material (if after the exam). 9. Students must exhibit appropriate behavior and be attentive during class. Any student who disrupts the class will be asked to leave. Any student who naps or falls asleep in class will be marked as absent. So, please: no side conversations or snoozing! 10. Instructor will devote part of the first lecture for student advising. Students are welcome to ask questions pertaining to major math requirements, course prerequisites, course sequences, and other related topics on that or any other day. 11. Students are encouraged to meet with the instructor if their performance does not meet their expectations. 12. All cell phones and pagers must be turned off in the classroom for the duration of the class. 13. Students who fail/withdraw a course twice and enroll in such course three or more times may soon face significant tuition/fee increases at HCC and other Texas public colleges and universities. If you consider course withdrawal because you do not

5 earn passing grades, confer with your instructor or counselor as early as possible about your study habits, homework completion, test-taking skills, attendance and punctuality, course participation, and opportunities for tutorial help or other assistance that might be available. 14. Online Tutoring Services: Houston Community College offers FREE online tutoring in a variety of subjects, including mathematics, English and writing. To register and take advantage of these Online Tutoring Services, go to Your questions will be answered by a qualified HCC tutor or faculty member within 24 hours (usually under 6 hours). 15. Sexual Harassment: It is a violation of HCCS policy for an employee, agent, or student of the college to engage in sexual harassment as defined in the EEOC guidelines (EEO/AA Compliance Handbook 47). X. Course outline 1. Precalculus review and preparation for calculus Sections to be reviewed: P1 - P3 and A1 - A3 Number of hours: 6 2. Unit 1: Limits and their properties Sections to be covered: Number of hours: 10 Assessment: Test 1 3. Unit 2: Differentiation Sections to be covered: Number of hours: 14 Assessment: Test 2 4. Unit 3: Applications of differentiation Sections to be covered: Number of hours: 18 Assessment: Test 3 5. Unit 4: Integration Sections to be covered: Number of hours: 12 Assessment: Test 4

6 XI. Assessment tools and their weights The following tools shall be used to evaluate the students performance: 1. Four in-class examinations (as listed above): 400 pts. 2. Homework assignments on WebAssign: 100 pts. 2. Final examination (comprehensive and required): 200 pts. Total number of points used for evaluation: 700 pts. Examinations may include both multiple choice and open-ended problems. Student must show all supporting work to get credit, even for multiple choice questions. No credit may be given for right answers given without supporting work. The instructor reserves the right to not allow the use of graphing calculators in certain exams. Up to 15 bonus points may be added at the instructor s discretion to the student s total score based on attendance, punctuality, effort, shown interest and class participation. XII. Grading scale The following scale will be used at the end of the semester to assign a course grade based on the overall course total of points obtained when the scores of all the exams are added together. However, this scale is subject to change at the instructor s discretion A B C D F XIII. Instructional resources available to the student The student shall use the following resources to facilitate learning and improve academic performance: 1. Textbook 2. Conferences with the instructor held by appointment 3. Lectures, problem-solving and review sessions conducted by the instructor 4. Graphing or scientific calculator 5. Peer tutoring or study groups 6. Math Lab and Tutoring Center 7. Student s Solution Manual and Study Guide 8. Meetings and discussions of the Math Club 9. Online tutoring available at Calculus references in the Library or any of those listed below XIV. Additional references

7 The student could refer to the following textbooks (or others) for an alternative presentation of the material and/or additional practice exercises: 1. Anton, H. Calculus with Analytic Geometry. John Wiley and Sons, Inc. 2. Finney, DeMana, Waits, and Kennedy. Calculus: a complete course. Addison-Wesley Longman, Inc. 3. Munem and Foulis. Calculus with Analytic Geometry. Worth Publishers, Inc. 4. Stewart. Calculus. Brooks/Cole Publishing Company. 5. Swokowski, E. Calculus with Analytic Geometry. PWS-Kent Publishing Company. 6. Thomas, G. and Finney, R. Calculus with Analytic Geometry. Addison-Wesley Publishing Company.

SOUTHWEST COLLEGE Department of Mathematics

SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2415: CALCULUS III (DISTANCE EDUCATION) SPRING 2015 / SS TERM / CRN 48306 / FEBRUARY 14 MAY 17/ INSTRUCTOR: Dr. Jaime L. Hernández CONTACT