Instructor: Dr. F. Javier Trigos-Arrieta
Office: Science III Rm. 230
Phone: 654-2031, Fax: 654-2039
Office hours: M 1:30-4; T 10-12, 1-2 & 7:30-8; W 1-2; Th 10-12, 1-2 & 4-5, F 10-1pm; or by appointment.
MATH 201 Calculus I (5). Introduction to the differential calculus of elementary functions (including logarithmic, exponential, and trigonometric functions). Emphasis on limits, continuity, and differentiation. Applications of differentiation (including curve sketching, optimization, and related rates; antiderivatives. Students may not use any Computer Algebra System (CAS) capability in this course. Prerequisite: (1) A grade of C- or better in MATH 192; or (2) Satisfaction of the Entry Level Mathematics requirement and an appropriate score on the UC/CSU MDTP Calculus Readiness Test or equivalent. It is recommended that students enroll concurrently in MATH 281. Note: Students without recent credit in MATH 192 are advised to consult the Department of Mathematics and to take the UC/CSU Pre-calculus Diagnostic Test before enrolling in MATH 201.
Course Objectives: Math 201 is the first in a sequence of four courses of basic calculus. Students passing this class will be able to do the following:
1. Understand and apply the concept of a limit. Be able to use graphical and numerical methods to identify situations where limits may not exist. Be able to apply algebraic methods to evaluate limits.
2. Understand and apply the concept of continuity.
3. Understand and apply the concept of derivative from the limit definition. Understand the geometric meaning of the derivative. Interpret the derivative as a rate of change.
4. Understand and apply the derivatives of basic functions, including trigonometric, logarithmic and exponential functions.
5. Understand and apply the rules of differentiation, including chain rule and implicit differentiation.
6. Understand and make use of applications of the derivative in linear approximations, rates of change, graphing functions, optimization problems, and roots of functions through Newton’s method, and L’Hôpital’s Rule.
7. Understand and apply the concept of antiderivatives.
Class Meetings: TTh: 5-7:25 pm, Science III 213.
Textbook (required): Calculus, Concepts and Contexts, by J. Stewart, fourth edition, ISBN 0-495-55742-0
Material to be covered: Chapter 1: Section 7. Chapter 2: All. Chapter 3: Sections 1-7 and 9. Chapter 4: Sections 1-3 and 5-8. Total: 24 Sections.
Homework: Mathematics is not a spectator sport. You learn by doing. Solve all odd problems from the sections listed above. Although homework assignments will not be collected, it is assumed that you will do the homework necessary for success in this class. We will spend considerable time at the beginning of each lecture working out homework problems. Answers to most of the assigned problems are in the back of the book. If you are not able to solve a particular problem, do not hesitate to ask! Your classmates will be grateful.
Readings: The student is responsible for reading at least twice each section of the book covered in class: Before and after the lecture. The student will be told in advance what sections of the book are to read. If you are not able to understand something in the book, do not hesitate to ask! Your classmates will be grateful.
Quizzes: There will be seven quizzes, each of them administered most Tuesdays at 5:05 the latest; the student will be able to drop the lowest score. Quizzes may not be made-up. If you miss a quiz you will get a score of “0” (zero) recorded. You may take any quiz early with the instructor's permission. Problems will be similar to those in the homework. The primary purpose of these quizzes is to provide you with frequent evaluation of your content acquisition and to help you to reduce math anxiety. Quiz work is individual, see Note 2 below.
Activities: Seven activity assignments will be collected; the student will be able to drop the lowest score. Activity attendance is required. The student should work in groups of at least 3 people and 4 at most. During activity sessions the student will work on an activity sheet and each member of his/her group should hand in a report at the beginning of most Thursdays at the latest. Late reports and reports from students absent from even one meeting will not be accepted. A report should be neat and readable; solutions should follow an increasing numerical sequence. Each member of a group will receive the same number of points, so it is your responsibility to write down in each report only the names of those who substantially contributed to the activity.
Exams: There will be two Midterm exams and a cumulative final. Questions and problems will deal with concepts discussed in lectures, homework, textbook, and activities. Exchange of information, calculators, and supplies is absolutely prohibited during exams! To clarify a particular situation, the instructor reserves the right to a further examination, written or oral. Exam work is individual, see Note 2 below. Midterm exams may not be made-up. If you miss an exam you will get a score of “0” (zero) recorded. You may take any exam early with the instructor's permission.
Partial Credit: Only substantial contributions to the solution of a problem will count for partial credit. Mere restating of a problem or the quoting of an incorrect fact, for example, will not make you eligible for it. Students must watch out for logical mistakes, and must make sure that all the hypotheses are met before recalling a particular theorem.
Points Distribution: [6 quizzes x (each worth 30 pts.)] + [6 activities x (each worth 35 pts.)] + [2 in-class exams x (each worth 200 pts.)] Final exam (worth 210 pts.) = 1000 points.
Grades: Your final grade is a function of the total of points awarded on the activities indicated above. Group homework is very helpful and greatly promoted in this course. However, it is necessary for college graduates to demonstrate individual competency on the subject. Therefore, regardless of your total of points, in order to get a D- or better in this course all of the following should be fulfilled at least:
(a) To have scored at least 200 points in the 2 Midterm exams combined.
(b) To have scored at least 105 points in the final exam.
Generally, the following guidelines for grades apply:
960 -1000 A 900 - 959 A-
870 - 899 B+ 840 - 869 B 800 - 839 B-
770 - 799 C+ 740 - 769 C 700 - 739 C-
670 - 699 D+ 640 - 669 D 600 - 639 D-
0 - 599 F
In order to take Math 202, you must pass Math 201 with a C- or better. To satisfy Goal B4, you need to earn C, not C-.
1) It is the student's responsibility to find out what (s)he missed if (s)he did not attend class. Office hours are not meant for tutorial courses, but rather to clarify particular situations or problems occurring during lectures, homework, labs, assignments or readings. Students are encouraged to make use of the Office Hours.
2) Academic dishonesty will not be tolerated. More information can be found in page 90 of the 2011-2013 University Catalog (STUDENT CONDUCT, Title 5, California Code of Regulations, § 41301. Standards for Student Conduct, (b) Grounds for Student Discipline, at http://www.csub.edu/studentconduct/documents/academicintegrity.pdf
3) The instructor will hold graded papers for one week at most. After this period, he will trash old papers. Contact him as soon as you foresee a problem picking up your paper(s).
4) All handouts (with solutions) will be in the internet (follow the link Math 201 in http://www.csub.edu/~jtrigos/)
5) Beepers, cell phones, i-pods, laptops and similar electronic devices must be turned off at all times during class or lab time. If not, the student will have to leave the room without being allowed to return.
6) Students can be at most 10 minutes late. Students cannot leave the room unless it is for medical reasons.
7) Students with Disabilities: For list of your duties and privileges:
8) Additional Resources: The Math Tutoring Center is the best source for free help on campus: For hours, check http://www.csub.edu/~clam/mtc.html
Maintained by Javier