Math 134-01, Fall, 2004

Calculus and Analytic Geometry I (5 credits)

MTWTH: 9 – 9:50 am, BANN 403

 

Lab days: Friday (Oct.1, 22, Nov.5, 12, 19): 9-9:50 am, ADMN 224, Oct. 15 in public Lab

 

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, Office: BA 416. Phone: 296-5926, email: sding@seattleu.edu

Office hours: MWF: 11:00 – 12:20 noon, 

                        Tuesday: 1:00 pm – 2:00 pm, or by appointment.

 

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:  October 8,         Friday.

                                                Exam 2:  November 2,     Tuesday

                                                Exam 3:  November 23,   Tuesday

 

                        Final examination (comprehensive) is scheduled on  December 9, Thursday,

                        12:00 - 1:50 pm. There will be no make-up exams. If you miss an hour

                        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.

 

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%

                                    

Learning Center: The Seattle University Learning Center, located in Loyola 100

                       (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 Learning Center if any of these services is needed. I will be very

                       pleased to work with you and the Learning Center to provide

                       accommodations that you need.

 

Course Calendar and outline (approximate):

 

Section             Topic                                                                                       Number of Periods

 

                                    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

 

Chapter 3      Derivatives

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

 

 

 

Chapter 7       Exponential Functions (only) from this chapter

 

7.2                           Exponential Functions and Their Derivatives                                                                                 2

 

 

Chapter 4      Applications of Differentiation

 

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

4.6                           Graphing with Calculus and Calculators                                                                                          1

4.7                           Optimization Problems (Applied Extrema Problems)                                                                      2

4.8                           Applications to Economics (optional)                                                                                              1

4.9                           Newton’s Method                                                                                                                               1

4.10                         Antiderivatives                                                                                                                                    1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Math 134-01, Fall, 2004

Calculus and Analytic Geometry I (5 credits)

 

Week

 

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

1st

 

9/20

 

9/21

Introduction

9/22

Chap 1

9/23

2.1

9/24

 

 

 

2nd

2.2

9/27

2.3

9/28

2.3

9/29

2.4

9/30

Quiz 1

Lab 1

10/1

 

3rd

 

 2.4

10/4

2.5

10/5

2.6

10/5

       Review

10/7

 

Test 1

10/8

 

4th

 

3.1

10/11

3.2

10/12

3.3

10/13

3.4

10/14

Quiz 2

Lab 2

10/15

(in public lab)

 

5th

 

3.5

10/18

3.6

10/19

3.6&3.7

10/20

3.7

10/21

Quiz 3

Lab 3

10/22

 

6th

 

3.8&3.9

10/25

3.9

10/26

3.10

10/27

7.2

10/28

Quiz 4

7.2

10/29

 

 

7th

Review

11/1

Test 2

11/2

4.1

11/3

4.2

11/4

 

Lab 4

11/5

 

 

8th

          4.2

11/8

4.3

11/9

4.3

11/10

Quiz 5

Holiday

11/11

 

Lab 5

11/12

 

9th

 

4.4

11/15

4.5

11/16

4.6

11/17

4.7

11/18

Quiz 6

Lab 6

11/19

 

10th

 

Review

11/22

Test 3

11/23

Holiday

11/24

Holiday

11/25

Holiday

11/26

 

 

11th

4.7

111/29

4.8

11/30

4.9

12/1

4.10

12/2

 

Review

12/3

 

 

12th

Review

12/6

 

12/7

 

12/8

Final Exam

12/9

12:00-1:50 pm

 

12/10

 

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