Course Syllabus

Math 131 Calculus and Analytic Geometry I

Fall Semester 2004 New Mexico Tech

 

Instructor:                  John Starrett

Office:                         Weir Hall 242

Office Hours:             MWF   11:00 A.M. - 12:50

 P.M.

Telephone:                 835-5763 Office     

Email:                         jstarret@nmt.edu

 

Text:                           Calculus, Early Transcendentals Version, 5th Edition by Stewart

 

Room:                        Weir 133          

Time:                         MWF 10:00 – 10:50

Course Content:             Chapters 1, 2, 3, 4, 5

Course Description:             First course in calculus and analytic geometry. Includes introductory concepts in analytic geometry, limits, continuity, differentiation, and applications of the derivative, the mean value theorem, the definite and indefinite integral, and applications of the integral. This syllabus is subject to change in the details such as homework problems that are assigned.

 

Course Objectives:             Upon completion of this course, students should be able to:

 

            ·            Solve equalities and inequalities and give answers in interval notation

            ·            Describe lines and circles, and graph each of these

·          Give the definition of a function, domain and range of functions, and evaluate functions

            ·            Compute the difference quotient, composition and inverse of functions,

·          Sketch the graphs of functions (polynomial, trigonometric, exponential and logarithmic functions)

·            Define and compute the limit of a function

·            Describe and use the properties of the limit of a function

·            Define and use the concept of continuity of a function

            ·            Compute the derivative of a function using the definition of the derivative

·          Use rules of differentiation to compute derivatives of polynomial trigonometric, exponential and logarithmic functions

·          Compute rates of changes of functions, distance, velocity and acceleration of functions

            ·            Use the chain rule to compute derivatives

            ·            Find derivatives using implicit differentiation

            ··            Use the Mean Value Theorem to solve equations

            ·            Find critical values of functions and classify as relative maxima or minima

·            Find intervals of concavity of functions

            ·            Sketches curves and compute limits involving infinity and asymptotes

            ·            Find optimums in science and engineering problems

            ·            Compute indefinite integrals and area under a curve

            ·            Compute Riemann Sums and the definite integral of a function

            ·            State and use the Fundamental Theorem of Calculus

            ·            Integrate functions using the substitution technique

            ·            Find the average value of a function on an interval

            ·            Approximate integrals by numerical integration

 

Prerequisite:            Math 103 and 104, or the equivalent passed with a grade C- or better, or with a score of at least 34 on the two components of the departmental placement test.

 

Course style:  This course is mainly a lecture style course, although there will be some group work, where students will collaborate to solve problems. Students are responsible for class attendance and being prepared for tests. 

 

Attendance:            I expect students to attend all class sessions, to take notes, to participate in all class activities and to take all exams at the announced time.  Your attendance and participation are part of your grade! If a student is unable to attend a class, the student is responsible to make up the missed work and get the assignments.

 

Homework:            This is an integral part of this course.  I expect students to do all of the assigned homework.  Homework from one week is due the second class period of the following week.

 

Daily Quizzes: During class each day, there may be a quiz.  The material on the quiz will be from the assigned homework problems. There will be no make up of missed quizzes.   At the end of the semester the quiz scores will be totaled.   However, I may omit 2 or 3 lowest quiz scores in computing the quiz grade.

 

Testing Policy: Students are expected to take tests on the announced dates.  Note that the test dates are announced in class at least one week in advance.  It is the student’s responsibility to attend class and be current with homework and take tests on time.  If a student is unable to take a test because of a legitimate reason, the student must make prior arrangements with me.   

 

Grading:            Tests            4                                              250                  450 - 500      A

                        Quizzes  & Homework                 50                  400 - 449      B

                        Calculus I Lab                                     100                  350 – 399      C

                        Final Exam    100 points               100                  300 - 349      D

                  Total              500       below 300     F

 

Aug 23
Registration
1.1     2, 14, 20, 21, 22, 24, 28, 32, 35, 38, 42, 44, 50, 52, 53
1.2     2, 4, 6, 7, 12, 17
1.3     3, 4, 14, 18, 32, 34, 36, 37, 42, 46, 54, 58


Aug 30
1.5     7, 9, 13, 14, 17, 18, 25, 26
1.6     4, 9, 10, 14, 18, 22, 25, 28, 37, 38, 41, 50, 52, 54, 59, 71
2.1     4, 6, 8
2.2     1, 2, 3, 6, 8, 12, 14, 17, 19, 23, 24, 30, 32, 35

Sept 6
Academic Holiday
2.3     2, 3, 5, 7, 13, 17, 21, 23, 29, 34, 41, 46, 47
2.4     2, 3, 13, 15
2.5     6, 10, 13, 20, 24, 28, 34, 37, 42, 43, 45, 46, 51

 

Sept 13

2.6     4, 6, 13, 15, 19, 29, 39, 44, 45, 49,
2.7     1, 5, 8, 14, 15, 16, 18, 20, 25
2.8     1, 2, 6, 13, 17, 20, 22, 28
2.9     2, 4, 5, 6, 9, 12, 16, 17, 29, 36, 38  

 

Sept 20

3.1     2, 4, 9, 11, 17, 21, 29, 33, 40, 46, 47, 54, 58, 61
3.2     5, 7, 9, 13, 15, 19, 23, 26, 32, 36, 37, 41
Exam 1


Sept 27

3.3     1, 5, 8, 10, 11, 14, 16, 18, 26, 29
3.4     3, 5, 7, 11, 13, 15, 23, 32, 33, 35, 37, 44, 45
3.5     6, 9, 11, 16, 17, 21, 24, 27, 41, 42, 43, 45, 55, 57, 67

 
Oct 4
3.6     1, 3, 11, 15, 17, 21, 27, 41, 42, 43, 44, 55, 59, 66
3.7     1, 2, 5, 15, 17, 19, 25, 29, 33, 36, 42, 50, 53, 62
3.8     2, 3, 4, 13, 15, 25, 26, 31, 35, 37, 39, 42, 43, 45
 
Oct 11
3.9     2, 4, 7, 9, 23, 31, 33, 36, 40, 42, 44, 49
3.10   3, 4, 7, 9, 10, 16, 20, 23
3.11   2, 7, 9, 11, 14, 16, 19, 22, 23, 32, 33, 36, 42, 43

 

Oct 18

Review
Exam 2
Academic Holiday


Oct 25
4.1     4, 6, 11, 12, 33, 37, 42, 43, 45, 53, 55, 59, 61
4.2     2, 3, 13, 14, 15, 18, 23, 26, 34, 35
4.3     2, 6, 8, 10, 22, 24, 26, 28, 30, 33, 42, 43, 45, 47, 49

 
Nov 1
4.4     2, 4, 5, 9, 15, 19, 37, 47, 48, 50, 21, 57, 59
4.5     5, 10, 18, 21, 22, 24, 32, 46, 48, 49, 55, 57, 59
4.7     2, 5, 10, 12, 16, 23, 26, 31, 35, 38, 42, 52 
4.8     3, 6, 14, 16, 18, 20, 22

 

Nov 8
4.10   2, 8, 16, 21, 29, 32, 36, 43, 36, 62, 65, 73
Review
Exam 3

 
Nov 15
5.1     12, 17, 22, 26
5.2      2, 6, 17, 24, 28, 38, 42, 44, 59, 62
5.3      6, 10, 19, 28, 34, 52, 57, 62, 68

 
Nov 22
5.4      4, 7, 12, 13, 18, 24, 30, 43, 54, 57, 61
5.5      1, 5, 10, 18, 21, 25, 32, 35, 41, 51, 52, 58, 70
Thanksgiving

 
Nov 29
5.6      2, 3, 5, 7, 10
Review
Exam 4


Dec 6
Review
Review
Review

Dec 11
Finals Week -- room and time to be announced