ROWAN UNIVERSITY DEPARTMENT OF MATHEMATICS MATH 01.140 – Accelerated Calculus I Fall 2011 Professor: Dr. Paul J. Laumakis Office: Robinson Hall Room 229G Phone: x 3872 E-mail:
[email protected] Office Hours: TR 10:00 AM – 11:30 AM and by appointment Course Description: This course involves the study of change. The course begins with the notions of limit and continuity. The concept of the derivative and its applications, along with the integral and some of its applications, comprise the remainder of the course. Use of the TI-89 graphing calculator is required in this course. Course Objectives: In addition to providing the student with the working mathematical knowledge that is required to support continued study in Calculus, the primary objective of this course will be the development of independent learning skills. The growth of critical thinking and mathematical problem solving abilities will be accomplished primarily through a student-centered learning process. This process will necessarily entail study and thought outside the classroom, in addition to independent work during class. Application-oriented problems derived from a variety of disciplines will serve to allow the student to acquire expertise in the mathematical modeling process and engage the student in the prudent use of available technology. Through this process, students will develop the crucial ability to learn on their own. Attendance: In order to effectively accomplish the course objectives, students are expected to attend every class and be on time. If you are absent from class for any reason, it is your responsibility to find out what you missed, including any announcements. You may find out what you missed from your classmates or by contacting me directly. Excessive absence or lateness may result in a lower final grade for the course. Textbook: Rogawski, Jon, Calculus: Early Transcendentals, 2nd Edition, W.H. Freeman and Co., 2012 (with accompanying Mathematica Manual). Academic Honesty: All forms of academic dishonesty will not be tolerated. First-time offenders will be reported to the Office of the Provost and sanctions will be imposed in accordance with University Policy on Academic Integrity Violations.
Miscellaneous: In order to avoid disruption during class, all computers, cell phones, beepers, and the like are to be turned off before entering the classroom and are not to be used during a class, quiz, or final examination. Every offense of this policy will result in immediate removal from class. Grading Policy: Final grades will be determined as follows: Quizzes 600 pts. Mathematica Work 200 pts. Final Examination 200 pts. Participation 100 pts. Total 1100 pts. Notes: (1) All students must be present for all graded events. No make-ups will be given and a grade of zero will be assigned for any missed graded event. (2) The lowest two quiz grades for each student will be dropped at the end of the semester. (3) Any student who accumulates 750 points before the final examination (after the lowest quiz grades have been dropped and not counting the participation grade) and continues attending class until the end of the semester will be exempted from the final examination and will receive an A for the course. (4) The final letter grade assigned to each student will be determined based on the performance of the student in each of the above listed categories relative to the other students in the course. Class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Day/Date Section Topic/Activity R/1 Sep Course Overview & Pre-Test T/6 Sep 2.1 Limits, Rates of Change, and Tangent Lines R/8 Sep 2.2 Limits: A Numerical and Graphical Approach M/12 Sep 2.3 Basic Limit Laws T/13 Sep Quiz 1; Mathematica Demo R/15 Sep 2.4 Limits and Continuity M/19 Sep 2.5 Evaluating Limits Algebraically T/20 Sep 2.6&2.8 Squeeze and Intermediate Value Theorems R/22 Sep 2.7 Quiz 2; Limits at Infinity M/26 Sep 3.1 Definition of the Derivative T/27 Sep 3.2 The Derivative as a Function R/29 Sep 3.3 Product and Quotient Rules M/3 Oct 3.4 Rates of Change T/4 Oct 3.5 Higher Derivatives R/6 Oct 3.6 Quiz 3; Trigonometric Derivatives M/10 Oct 3.7 The Chain Rule T/11 Oct 3.8 Derivatives of Inverse Functions R/13 Oct 3.9 Derivatives of Exponential and Log Functions M/17 Oct 3.10 Implicit Differentiation T/18 Oct 3.11 Related Rates R/20 Oct No Class; Mathematica Assignment 1 due 24 Oct
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43
M/24 Oct T/25 Oct R/27 Oct M/31 Oct T/1 Nov R/3 Nov M/7 Nov T/8 Nov R/10 Nov M/14 Nov T/15 Nov R/17 Nov M/21 Nov T/22 Nov R/24 Nov M/28 Nov T/29 Nov R/1 Dec M/5 Dec T/6 Dec R/8 Dec M/12 Dec T/13 Dec
4.2 4.4 4.3 4.5 4.7 4.8 4.9 5.1 5.2 5.3 5.4 5.6 6.1 6.3 8.1 7.1 7.5 7.6
Quiz 4; Extreme Values The Shape of Graphs Mean Value Theorem L’Hopital’s Rule No Class (Election Day) Applied Optimization Newton’s Method Quiz 5; Antiderivatives Approximating and Computing Area The Definite Integral Fundamental Theorem of Calculus, Part I Fundamental Theorem of Calculus, Part II Substitution Method Quiz 6; Area Between Two Curves No Class (Thanksgiving Day) Volumes of Revolution Arc Length & Surface Area Quiz 7; Integration by Parts The Method of Partial Fractions Improper Integrals No Class; Mathematica Assignment 2 due 12 Dec Quiz 8 Review for Final Exam
Mathematica Assignments: All of the problems for the following assignments are found in the Mathematica Manual for Calculus, the tutorial handbook for students, and are due at the beginning of class on the date indicated. Assignment 1 (due 24 Oct): Exercise Set 2.2 2.3 3.1 3.3 3.4 4.1 Assignment 2 (due 12 Dec): Exercise Set 4.2 4.3 4.4 5.1 5.2 5.3 6.1 6.3 7.3 8.1
Problems 3, 9, 10, 11 2 3, 4 2 5 1 Problems 3 5 3 3 1(c) 3 1 1(b) 11 4
