MATH 1101 Section 2. Calculus 1
Fall Semester 2004

Instructor : Dr. Peh Ng --

Class Time : 9:15am - 10:20 MWF & 8:00-9:40 Tue

Class Venue : Sci 3510

INSTRUCTOR's OFFICE: Sci 2330

INSTRUCTOR's OFFICE HOURS: 10:20 - 11:20am MWF; 9:40am-10:30am Tue; or by appointment. (Unless I am on the Twin Cities campus for committee meetings on alternate Thursdays, I am either in my office, in class or somewhere on campus from 7:30am till 7pm so, if you need help, stop by my office or catch me anywhere on campus.)

INSTRUCTOR's PHONE: 589-6318 or 589-6300

INSTRUCTOR's E-MAIL: pehng@morris.umn.edu

Course web page www.morris.umn.edu/~pehng/Calc

REQUIRED CLASS MATERIAL:
Class Notes & Textbook: Single Variable Calculus Early Transcendentals (5th edition) by J. Stewart.
Supplement textbooks: Mathematica Calculus Workbook or other Calculus texts.

PREREQUISITES: up-to-date and strong knowledge of Algebra & Trigonometry .
Willingness to work hard, to spend at least 2 hours daily (or 10 hours weekly) on this course outside class time, & to think analytically.

COURSE OBJECTIVES/PURPOSES: to help students:

• to learn the concepts of limits and continuity
• to learn the concepts derivatives
• to learn the various techniques of differentiation
• to learn the concepts of antiderivatives and the Riemann sum
• to learn the concepts of differential calculus by way of modeling real-world problems as applications of teachniques used
• to be aware of the plethora of applications of calculus within and beyond the scope of academia

MATERIAL COVERED:

Chapter 1. Functions and Models . (1.5 weeks)
Different ways to represent functions; mathematical models; algebraic operations on functions; using Mathematica to handle functions; exponential and logarithm functions and their inverses.

Chapter 2. Limits, Continuity & Derivatives. (2.5 weeks)
Limits of a function; geometric concepts of limits and calculating limits algebraically; rigorous definition of limits; continuity; limits of functions at infinity or horizontal asymptotes; rates of change; definition of derivatives; derivative as a function.

Chapter 3 and part of Chapter 10. Differentiation Rules . (4 weeks.)
Derivatives of some basic functions including polynomials, exponentials, logarithmic, trigonometric; rules of derivatives; the Product, Quotient & the Chain Rule;; implicit differentiation; derivatives of inverse and parametric functions; polar curves and polar coordinate functions and their slope of tangent lines; higher order derivatives; partial derivatives; hyperbolic functions; related rates; linear approximations and differentials.

Chapter 4. Applications of differentiation . (4 weeks.)
Maximum and minimum values and optimization problems (in one variable); the (infamous) Mean-Value Theorem; derivatives and shapes of functions' graphs; indeterminate forms and L'Hospital's Rule; curve sketching; optimization problems; Newton's Method; other applications if time permits.

Chapter 5. Integrals or antidifferentiation . (3 weeks.)
Definition of antiderivative and indefinite integral; areas under a curve and distances; definite integral; the Fundamental Theorem of Calculus ; techniques of integration including substitution rule.

HOMEWORK:
There will be computer and written homework assigned and due on a almost daily basis. Occasionally students will be asked to present their work on the board to the class.

EXAMINATIONS and QUIZZES:
There will be three in-class exams throughout the semester and a comprehensive in-class final exam during finals week. During the off-exams weeks, there will be short (about 10-15 minutes) quizzes given in class. All exams and quizzes will be closed book/notes; any helpful information, if applicable, will be provided by the instructor.

ACADEMIC INTEGRITY and HONESTY:
Discussion of homework or assignments among students aids learning and is encouraged. However, each student is expected to submit his/her own work. No two homeworks should ever be identical on any major part. No cooperation of any kind, or use of unauthorized notes, is allowed during examinations and quizzes.
Cheating, particularly on examinations, hurts students who are honestly earning their grades by devaluing their achievements. It is every student's responsibility to help control academic honesty by reporting it to the professor whenever they see it going on.
Students who violate UMM's academic integrity and honesty code will face consequences according to University Policies which include being expelled.

GRADING:

1. Three exams ( approximately on Tue Sept 28; Tue Oct 26; Tue Nov 23) - 100 points each. 300 points

2. Final exam ( Monday December 20 at 8:30-10:30am ). 200 points

3. Quizzes (computer & written) - approximately once a week (usually on a non-exam week) 50 points

4. Homework (computer & written) - assigned and due almost daily. 100 points

No late homework will be accepted and NO make-up exams & quizzes will be given, unless arrangements are made with the instructor prior to the date of exams (quizzes) or the due date of the homework.

Course Grades

GUARANTEED GRADE	IF TOTAL PERCENTAGE x is
A	90 <= x <= 100
A-	88 <= x <= 89
B+	86 <= x <= 87
B	80 <= x <= 85
B-	78 <= x <= 79
C+	76 <= x <= 77
C	70 <= x <= 75
C-	68 <= x <= 69
D+	66 <= x <= 68
D	60 <= x <= 65

All-University Interpretation of Grades

A & A-: achievement that is outstanding relative to the level necessary to meet course requirements.
B, B+ & B-: achievement that is significantly above the level necessary to meet course requirements.
C, C+,C-: achievement that meets the course requirements in every respect.
D, D+: achievement that is worthy of credit even though it fails to meet fully the course requirements.
S : achievement that is satisfactory, which is equivalent to a C- or better (achievement required for an S is at the discretion of the instructor but may be no lower than a C-).
F (or N) : Represents failure (or no credit) and signifies that the work was either (1) completed but at a level of achievement that is not worthy of credit or (2) was not completed and there was no agreement between the instructor and the student that the student would be awarded an I (see also I)
I (Incomplete) Assigned at the discretion of the instructor when, due to extraordinary circumstances, e.g., hospitalization, a student is prevented from completing the work of the course on time. Requires a written agreement between instructor and student.

Academic dishonesty: academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or N for the entire course.
For undergraduate courses, one credit is defined as equivalent to an average of three hours of learning effort per week (over a full semester) necessary for an average student to achieve an average grade in the course. For example, a student taking a three credit course that meets for three hours a week should expect to spend an additional six hours a week on coursework outside the classroom.

It is University policy to provide reasonable accommodations to students with disabilities. This publication/material is available in alternative formats to persons with disabilities upon request. Please contact the instructor or the Disability Services office, 589-6178, Room 362 Briggs Library to discuss accommodation needs.

PLEASE FEEL WELCOME TO SEE ME OUTSIDE OF THE CLASS, ANY TIME, IF YOU HAVE QUESTIONS, PROBLEMS, OR COMMENTS PERTAINING THE COURSE WORK.

Back to Peh's Teaching Page , Calculus' Home Page .

© 2001-2004 by Peh Ng
Last Modified Tuesday, February 01, 2005
Page URL: http://www.morris.umn.edu/~pehng/Calc/calc1.html