MATH 264 Calculus III
Syllabus
Instructor:
Instructor Email:
Office:
Office Hours:
Course Location and Time:
Course Length: 4 credit hours
Prerequisite: MATH 163 (Calculus II)
Required Textbook:
Supplementary requirements: Scientific calculator, computer, and internet access.
Course Description: The course will examine: power series and Taylor series,
conic sections, parametric equations and polar coordinates, vectors in the plane and
in three-dimensional space, vector operations, surfaces, functions of several
variables, partial differentiation, extrema of functions in two variables, directional
derivatives and gradients, tangent planes, multiple integrals and iterated integrals
as applied to volumes, surface areas, centers of mass and moments of inertia.
MATH 264 meets the following College Wide Goals.
A. Communication:
 Students will solve problems and present their solutions to the class.
B. Critical thought:
 Students are required to analyze and synthesize information and draw
reasoned conclusions.
 Students will analyze and solve real world problems.
C. Cultural Competence:
 Students will learn about historical aspect of Calculus.
D. Information Competency and Research:
 Students will do online practice problems and homework assignments
through WebAssign.
 Students will use Blackboard to access lecture notes and supplementary
material.
Student Learning Outcomes: At the end of this course the student will be able to:
1. Perform basic operations on vectors in 3D. Distinguish between scalars and
vectors.
2. Visualize vectors geometrically and use them to derive equations for lines and
planes.
3. Visualize vector-valued functions as curves in space.
4. Parametrize curves in space.
5. Interpret vector-value functions as particle motion model and use differentiation
to find velocity and/or acceleration of a particle.
6. Apply differentiation calculus to scalar functions of several variables (e.g. partial
derivatives, gradients, max/min problems).
7. Evaluate double and triple integrals and use them to compute areas and volumes.
8. Work with different coordinates (e.g. polar, cylindrical, spherical)
Course Requirements: (These are examples and may change depending on the
instructor)
1. Attendance, In-Class Participation & Quizzes: Students are expected to attend
all class sessions and are responsible for material missed during any absence.
Occasionally, short quizzes will be given at the end of class. The objective of the
quizzes is to test students' understanding of the material covered in class and to
prepare them for exams.
2. Email & Blackboard: Students are expected to check their NNMC email and the
course Blackboard page regularly. Lecture notes, as well as some extra material
and all the important announcements will be posted on the Blackboard.
3. Homework: Completing the homework is essential to understanding and
mastering the course material. Late homework earns no credit unless caused by
extenuating circumstances as determined by the instructor. Online homework will
be assigned through WebAssign. To activate and access your WebAssign account,
go to http://www.webassign.net/ You will need the following class key to enroll
into our class section and access the online homework: nnmc xxxx xxxx
4. For every section we cover, there is a corresponding assignment on WebAssign.
Tentative due dates are listed in the table below. A student who registers late for
the class is responsible to inform the instructor and to complete past assignments
as soon as possible.
5. Exams: There will be three in-class exams and a comprehensive final exam. The
exams are closed-book, closed-notes. Should there be need for any formulas in
order to solve exam problems, they will be provided by the instructor. The exam
dates and topics will be announced at least one week in advance. Tentative exam
dates are listed in the table below.
6. Evaluation: Grades will be determined according to the weighting scheme:
Three Exams:
45 %
Attendance and Quizzes:
15 %
Homework:
15 %
Final Exam:
25 %
Course Grading Scale: The following grading scale will be used to determine final letter
grades:
A+ =
A=
A- =
B+ =
B=
B- =
C+ =
C=
C- =
D+ =
D=
D- =
F=
99 –100%
93 –98%
90 – 92%
88 – 89%
83 – 87%
80 – 82%
78 – 79%
70 – 77%
68 – 69%
66 – 67%
63 – 65%
60 – 62%
0 – 59%
Important note: Grades of C- and below do not count toward graduation and do not
meet the criteria for satisfying prerequisites.
Study Assistance:
Northern New Mexico College provides tutors at the Student Success Center and the Math
Center. Tutors are available to answer questions and to assist students, but they do not
complete students’ homework.
Students with Disabilities:
Northern New Mexico College recognizes its responsibility for creating an institutional
climate in which students with disabilities can succeed. In accordance with Section 504 of
the Rehabilitation Act and the Americans with Disabilities Act; if you have a documented
disability, you may request accommodations to obtain equal access and to promote your
learning in this class. Please contact the Verna Trujillo, Coordinator of Accessibility and
Resource Center at 505-747-2152 or [email protected] to inquire about appropriate
accommodations. After your eligibility is determined, you will be given a letter, which
when presented to instructors, will help us know best how to assist you.
Student Code of Conduct and Academic Dishonesty Policy:
Students in this course and in all college classes are expected to complete their course
work in accordance to our College policies. Academic dishonesty on the part of a student
including cheating on a test, plagiarism or falsification will be subject to academic
sanctions. For more information about academic dishonesty and how such incidents will
be handled by your instructor and by the College, please refer to Northern’s student
handbook.
Tentative timetable (Actual dates will change depending on semester
and instructor)
Week Dates
1
01/17*
2
01/23
3
01/30
4
02/06
5
02/13
6
02/20
7
02/27
8
03/06
9
03/13
03/20
10
03/27
11
04/03
12
04/10
13
04/17
14
04/24
Sections
covered
9.1-9.6
9.7
9.8
9.9
10.1
10.2
10.3
10.4
Review
Exam I
11.1
11.2
11.3
11.4
11.5
11.6
11.7
12.1
12.2
12.4
Review
Exam II
Topics
Review of Calculus II topics: Infinite series, convergence tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Conics and Calculus
Plane Curves and Parametric Equations
Parametric Equations and Calculus
Polar Coordinates and Polar Graphs
Review for Exam I
EXAM I
Vectors in the Plane
Space Coordinates and Vectors in Space
The Dot Product of Two Vectors
The Cross Product of Two Vectors in Space
Lines and Planes in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
Vector-Valued Functions
Differentiation and Integration of Vector-Valued Functions
Tangent Vectors and Normal Vectors
Review for Exam II
EXAM II
Spring Break
12.5
Arch Length and Curvature
13.1
Introduction to Functions of Several Variables
13.2
Limits and Continuity
13.3
Partial Derivatives
13.4
Differentials
13.5
Chain Rules for Functions of Several Variables
13.6
Directional Derivatives and Gradients
13.7
Tangent Planes and Normal Lines
13.8
Extrema of Functions of Two Variables
Review Review for Exam III
Exam III EXAM III
13.10 Lagrange Multipliers
14.1
Iterated Integrals and Area in the Plane
14.2
Double Integrals and Volume
14.3
Change of Variables: Polar Coordinates
14.5
Surface Area
14.6
Triple Integrals and Applications
15
05/01
Review
Review for Final Exam
* 01/16 Martin Luther King Jr. Holiday – College closed