Math 134-03, Winter, 2005
Calculus and
Analytic Geometry I (5 credits)
Lab days: Friday (Jan.14,
28, Feb. 4, 25, March 4, 11):
COURSE DESCRIPTION : Limits and derivatives of rational, exponential, and trigonometric functions; applications of limits and derivatives. Computer laboratory component. Graphing calculator required. Prerequisite: a grade of C- or better in MATH 120, or satisfactory score on SAT or ACT or the Mathematics Placement Exam. Corequisite: MATH 121, unless exempted by qualifying examination.
INFORMAL COURSE DESCRIPTION (Mathematics Department Student Handbook): The first quarter of calculus concentrates on differential calculus: derivatives of functions and applications of derivatives. The derivative is defined using a limit, based on concepts of the slope of a tangent line and instantaneous rate of change or velocity. The derivative is then applied to problems including graphing, optimization, related rates, and solutions of equations. This calculus course has a computer laboratory component with group projects that provide students with an opportunity to practice collaborative learning and writing mathematics.
GOALS:
Goals for Students in All Mathematics Courses:
Each student will
· develop further the ability to think abstractly and critically,
· improve the ability to communicate mathematically through writing,
· represent abstract concepts pictorially,
· use mathematics as a modeling and problem-solving tool,
· appreciate and use appropriate technology, becoming proficient with, but not dependent on, symbolic graphing tools or mathematical software.
Specific Goals for Students in MATH 134:
A student who successfully completes MATH 134 will
· Understand the function concept and use many ways of representing functions: analytically, graphically, verbally, by tables.
· Understand and use the concepts of limits and continuity.
·
Understand the definition of the derivative of a
function, together with various interpretations of the derivative concept.
·
Develop proficiency in finding derivatives of
functions, both using the definition of the derivative and using theorems
(rules) for differentiation, with emphasis on algebraic, trigonometric, and
exponential functions.
·
Solve maxima and minima problems, giving
complete, well-written solutions. Study
other applications of the derivative.
·
Improve the ability to write mathematics and the
ability to work with others through the writing of collaborative computer lab
reports.
·
Use graphing calculators and computer software
to investigate problems involving mathematics and to produce well-written and
attractive computer lab reports.
CORE COURSE
STATEMENT:
MATH 134 may be used to satisfy the Seattle University Core mathematics requirement. In common with all Phase I core courses, this course emphasizes active learning, critical thinking, and writing assignments, to help develop understanding of the concepts and applications of the course. Quantitative skills and problem solving abilities are important components of a liberal education. You are encouraged to be an active participant at all times; learning mathematics requires much active thinking about the concepts and practice with problem solving.
TEXTBOOK and Calculator: Calculus, Fifth edition. James Stewart. Brooks/Cole.
A TI-89 or TI-92 graphing calculator is also required. (If the student already owns another graphing calculator which can give symbolic derivatives and integrals, that is also acceptable.)
Instructor: Dr. S. Ding, Associate Professor of Mathematics
Office: BA 416. Phone: 296-5926, email: sding@seattleu.edu
Office hours: MWF:
Monday:
Quizzes: Six quizzes will be given in lectures and the best five will be counted. No
make-up quizzes will be given. The missed quiz score will be replaced by
the next exam.
Exams: Three 1-hour exams (100 points each) are tentatively scheduled on the
following days:
Exam 1: January 21 Friday
Exam 2: February 11 Friday
Exam 3: March 3, Thursday
Final examination
(comprehensive) is scheduled on March 15, Tuesday
exam, your score on this exam will be replaced by the percentage grade you
receive on the final exam. If you have taken all three 1-hour exams and your
percentage grade on the final exam is higher than your lowest hour exam score,
that lowest score will be replaced by the percentage grade for the final exam.
For example, if your hour exam scores are 96, 52, and 84 and your final exam
score is 160/200, then the hour exam score of 52 will be replaced by 80.
Homework: Homework will be assigned in the lectures. All assigned problems should be
worked carefully. Each collected assignment will be given a score x/10 points.
At the end of the quarter, homework scores will be converted to a possible of 50
points. Many questions in exams will be quite similar to assigned homework.
We do not accept late homework.
Math Lab: The Mathematics Department provides math helpers who will be available
in the Math Lab (Engineering 300) for about 40 hours each week. You are
encouraged to use this resource on a drop-in basis or as a study location.
Hours will be announced and posted at Engineering 300, together with
assistant’s names and hours.
Grading: Quizzes 100 pts
Three 1-hour exams 300 pts
Projects 100 pts
Homework 50 pts
Final examination 200 pts
Total possible points for the quarter 750 pts
The following percentages are approximate. However, if your percentage falls
in one of the ranges indicated below, your letter grade will not be lower than
the grade shown:
A or A-: 90% and above
B-, B, B+: 80% to 89.99%
C-, C, C+ : 70% to 79.99%
D-, D, D+ : 60% to 69.99%
F: below 60%
(phone: 296-5740), provides services for special needs, such as learning
disabilities, attention deficit disorders, vision and hearing difficulties,
special physical needs, etc. Please make an appointment immediately
with the
pleased to work with you and the
accommodations that you need.
Course Calendar and
outline (approximate):
Chap. 1 Review for Functions & Models 2
Chap. 2 Limits and Rates of Change
2.1 The
Tangent and Velocity Problems 2
2.2 The
Limit of a Function; Infinite Limits; Vertical Asymptotes 1.5
2.3 Calculating Limits using the
Limit Laws 0.5
2.4 The
Precise Definition of a Limit (e-d definition) 1.5
2.5 Continuity 1
2.6 Tangents, Velocities, and Other Rates of Change 1
3.1 Derivatives 1
3.2 The
Derivative as a Function 1
3.3 Differentiation
Formulas 1
3.4 Rates
of Change in the Natural and Social Sciences 0.5
3.5 Derivatives
of the Trigonometric Functions 1
3.6 The
Chain Rule 1
3.7 Implicit
Differentiation 1
3.8 Higher
Derivatives 0.5
3.9 Related
Rates 1.5
3.10 Differentials
and Linear Approximations 1
7.2 Exponential
Functions and Their Derivatives 1
Chapter 4 App
4.1 Maximum
and Minimum Values 2
4.2 The
Mean Value Theorem 1
4.3 How
Derivatives Affect the Shape of a Graph 2
4.4 Limits
at Infinity; Horizontal Asymptotes 1
4.5 Summary
of Curve Sketching 1.5
4.6 Graphing
with Calculus and Calculators 0.5
4.7 Optimization
Problems (Applied Extrema Problems) 2
4.8 Applications to
Economics (optional) 1
4.9
4.10 Antiderivatives 1
Math 134-03, Winter, 2005
Calculus and Analytic
Geometry I (5 credits)
Week |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
1st |
Introduction, 1/3 9.1 |
Chap. 1 1/4 |
Chap. 1 1/5 |
2.1 1/6 |
2.2 1/7 Quiz 1 |
2nd |
2.2 1/10 |
2.3 1/11 |
2.3&2.4 1/12 |
2.4 1/13 |
Lab 1 1/14 |
3rd |
1/17 No classes |
2.5 1/18 |
2.6 1/19 |
Review for 1/20
Test
1 |
1/21
Test
1 |
4th |
3.1 1/24 |
3.2 1/25 |
3.3 1/26 |
3.4 1/27 Quiz
2 |
Lab 2 1/28 |
5th |
3.5 1/31 |
3.6 2/1 |
3.7 2/2 |
3.8 2/3 Quiz 3 |
Lab 3 2/4 |
6th |
3.9 2/7 |
3.9&3.10 2/8 |
3.10 2/9
|
Review
for 2/10 Test
2 |
Test 2 2/11
|
7th |
7.2 2/14 |
4.1 2/15 |
4.2 2/16 |
4.3 2/17 Quiz
4 |
4.3&4.4 2/18 |
8th |
2/21 No
classes |
4.4 2/22 |
4.5 2/23 |
4.5&4.6 2/24 Quiz
5 |
Lab 4 2/25 |
9th |
4.7 2/28 |
4.7 3/1 |
Review 3/2 |
3/3 Test 3 |
Lab
5 3/4 |
10th |
4.8 3/7 |
4.9 3/8 |
4.10 3/9 |
Review 3/10 Quiz 6 |
Lab
6 3/11 |
11th |
Review 3/14 |
Final
Exam 3/15 |
3/16 |
3/17 |
3/18 |