Math 1120 Section S12 Fall 2000

Differential Calculus Course Information

We meet on Wednesdays and Fridays 2:00-3:50 in room D120 on the Surrey campus.

Instructor: Michael Nyenhuis
Office:
Office Phone:
Voice Mail: (599-2222) 9033
Office Hours: Monday: 4:00-4:30, Tuesday: 6:30-7:00, Wednesday: 10:00-10:30, 4:00-4:30, Thursday: 4:00-4:30, 6:00-6:30, Friday: 12:00-12:30, 4:00-4:30, or by appointment
E-Mail: michaeln@kwantlen.bc.ca
Web Page: https://www.angelfire.com/bc/nyenhuis/

If you need to get a hold of me, the best method is to leave an e-mail message. I check these at least daily, and will usually respond promptly. I check voice-mail regularly, but I tend to get lax during busy times. Should you want to see me personally, I have office hours, alternatively an appointment can be made.

Required Resources

Text Calculus from Graphical, Numerical and Symbolic Points of View, by Ostebee and Zorn.
Lecture Notes Differential Calculus: An Interactive Approach, by Lin Hammill.
Maple Manual ????, by ????.
Calculator A standard scientific calculator is required and a graphing calculator is optional.

Calendar Description

This is an introductory calculus course for science and engineering students. Differentiation of algebraic and elementary transcendental functions will be covered, with applications to graphing, maxima and minima, related rates, rectilinear motion, and exponential growth and decay. An introduction to parametric and polar curves, and their differential calculus.

Prerequisites

Math 12 with a B or better, or Math 12 with a C or C+ and a Mathematics Placement Test, or Math 1112 with a C.

Time

Like all math courses, it takes a lot of time and effort on your part to learn calculus. Expect and plan to spend about 12 hours per week on this course.

Grades

Grades will be based on three hour-and-fifty minute midterms worth 20% each, daily reading assignments worth a total of 10%, and a final exam worth 30%. Dates for the midterms are September 29, October 20 and November 17. There will be no homework, though problems to work on will be suggested. Most of these problems will be odd-numbered so that answers will be found in the student study guide.

Policy on Missed Quizzes:

Any missed reading assignment will result in a zero for that assignment and any missed midterm will result in a zero for that midterm unless you can provide a documented excuse for your absence.

Grades are assigned as follows:

A+AA-B+BB-C+C C-DF
90-10085-8980-8476-7972-7568-7164-67 60-6356-5950-55<50

Passing etc.

In order to pass you must achieve a grade of at least 50%. If you want to enrol in a course for which Math 1120 is a prerequisite, you must achieve at least a "C" (60% or more), and to get this "C" you must get at least a 40% on the final exam.

Plagiarism

If it is determined that a student has cheated, the University College will proceed with discipline in the following manner:

  1. For most first offenses, a grade of zero will be awarded for the affected assignment, test, paper, analysis, etc.;
  2. For most second offenses, a failing grade will be assigned in the affected course;
  3. Depending upon the circumstances surrounding a first or second offense, a more severe level of discipline may be imposed by the University College.
  4. Where deemed appropriate in the circumstances, for any third offense, the matter must be referred to the University College President under Policy No. C.21 Student Conduct for the assignment of discipline, which may include suspension or expulsion from the University College.

Final Withdrawal Date

The final date for withdrawal from this course is October 27, 1999. If you stop attending class but do not officially withdraw you will get an "F" for the course.

Tentative Course Outline

Lessons are designed with the assumption that you have read the assighned sections before coming to class. The class will not consist of a comprehensive lecture. Most of the class time will be spent working examples and problems, either individually or as a class. Make sure you read the relevant material before coming to class.

Subject Date Sections Contents
Functions and Graphs September 6 1.1  
More Functions and Graphs September 8 1.2, 1.3  
Elementary Functions September 13 1.4, 1.5 Exponentials, Trig, Logarithms
The Algebra of Functions, Modeling September 15 1.6, 1.7 Algebra of functions, including composition. Introduction to modeling.
Problem Solving September 20   We will work through Appendix 2 of the Lecture Notes.
The Derivatve September 22 2.1 Informal definitions of derivative, Racetrack Principle
Review September 27  
Midterm 1 September 29  
Estimating Derivatives, the Geometry of Derivatives October 4 2.2, 2.3 "Local linearity", what derivatives say about graphs
Higher Order Derivatives, the Formal Defintion of the Derivative October 6 2.4, 2.5 Concavity, definition of derivative.
Limits and Continuity October 11 2.6  
Limits Involving Infinity, Properties of Limits October 13 2.7  
Review October 18    
Midterm 2 October 20    
Derivatives of Powers and Polynomials, Applications October 25 3.1, 3.2 Derivatives of powers, first few laws of differentiation, applications dealing with speed, acceleration and position, and max-min problems.
Derivatives of Transcendental Functions October 27 3.3, 3.4 Derivatives of exponentials, logarithms and trig functions
Products, Quotient and Chain Rules November 1 3.5, 3.6  
Implicit Differentiation, the Inverse Trig Functions November 3 3.7, 3.8  
Curve Sketching November 8   Curve sketching techniques wil be summarized.
Linear and Quadratic Approximations, Differentials November 10 4.3, Appendix 3 of Lecure Notes  
Review November 15    
Midterm 3 November 17    
Newton's Method, Optimization November 22 4.4, 4.6  
Related Rates November 24 4.8  
L'Hospital's Rule, Logarithmic Differentiation November 29 10.4 Logarithmic Differentiation will be covered in class using examples.
Parametric Curves, Continuity December 1 4.9, 4.10  
Consequences of Differentiability December 6 4.11  

michaeln@kwantlen.bc.ca Last modified: July 22, 2000
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