** **

** **

**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: S**tudents 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**

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**

**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**

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

3.11 2, 7, 9, 11, 14, 16, 19, 22, 23, 32, 33, 36, 42, 43

** **

**Oct 18**

**Review
Exam 2
Academic Holiday**

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

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**

5.2 2, 6, 17, 24, 28, 38, 42, 44, 59, 62

5.3 6, 10, 19, 28, 34, 52, 57, 62, 68

5.5 1, 5, 10, 18, 21, 25, 32, 35, 41, 51, 52, 58, 70

Thanksgiving

5.6 2, 3, 5, 7, 10

Review

Exam 4

Review

Review