MATH 250 (Calculus III) Syllabus
Note: This syllabus is common to all MATH 250 sections. Individual instructors may add additional requirements or recommendations.
Instructor Information
Department: Mathematics and Statistics
Name: ___________________________
Contact Information: ________________________________________
Class Meeting Time/Place: ____________________________________
Semester Offered: FALL/SPRING/SUMMER
Office Hours and office location: _______________________________
Course Information
Subject/Curricular Designation: Mathematics
Catalog Number: MATH 250-****
Course Title: Calculus III
Course Description from the UMKC catalog: Vectors, solid analytic geometry, vector functions and multiple variable
functions, partial derivatives, multiple integrals, line and surface integrals with applications.
Credit Hours: 4
Prerequisites: MATH 220 (Calculus II)
Required Materials: Textbook –Calculus: Early Transcendentals, 10th edition, by Anton, Bivens, and Davis (Publisher: Wiley)
+ WileyPLUS access code. (Note: an electronic version of the textbook is included with the WileyPLUS access code, hence a
physical copy of the textbook is optional.) Students are required to self-enroll in the associated WileyPLUS course.
Evaluation and Grading Criteria: You will be graded on your work as well as your answers. An answer that is unsupported by
your work may not receive credit. Final grades assigned for this course will be based on the percentage of total points earned
as indicated below. The scale used for assigning letter grades will be no worse than the following.
Letter Grade
A ≥ 90
70 ≤ C < 78
89 ≤ A- < 90
69 ≤ C- < 70
88 ≤ B+ < 89
68 ≤ D+ < 69
80 ≤ B < 88
60 ≤ D < 68
79 ≤ B- < 80
59 ≤ D- < 60
78 ≤ C+< 79
F < 59
(All instructors should have the final count as 25%; the percentages for the remaining categories can vary.)
Percentage
…
…
…
25%
100%
Description
Homework
Quizzes
Midterms
Final
Total
Schedule of topics covered, requirements and assignment deadlines:
We will cover the following chapters from the book. See the attached schedule for details.
 Chapter 11 (Three-dimensional space; vectors)
 Chapter 12 (Vector-valued functions)
 Chapter 13 (Partial derivatives)
 Chapter 14 (Multiple integrals)
 Chapter 15 (Topics in Vector Calculus)
WileyPLUS homework will be assigned regularly. The due dates of the on-line homework will be announced in class. You can
also see any due assignments when you log on to WileyPLUS. It is strongly recommended to work on the homework related
to a given section as soon as the section has been covered in class.
Written homework will be assigned at least 4 times throughout the semester. The written homework will require careful
writing of the solutions, in complete detail.
Quizzes: In-class quizzes (15-20 minutes) will be given about once a week, with some exceptions.
Student learning outcomes:





Use the dot and cross products to find projection vectors, area of parallelogram, volume of parallelepiped, to derive
out line and plane equations in the 3-space.
Use vectors to study about curves in the 2-space and 3-space; compute a tangent vector, the arc length
parameterization, unit tangent and normal vectors, the curvatures, and trajectories.
Compute the limits of the functions with more than one variable, partial derivatives, maxima and minima of
functions of two variable, maxima and minima of functions of two or three variables under a constraint using
Lagrange multipliers.
Set up and compute double integrals in the rectangular and polar coordinates, triple integrals in the rectangular,
cylindrical and spherical coordinates, know how to do some applications of double and triple integrals.
Set and compute line and surface integrals, know how to do some applications of line and surface integrals,
understand and know how to use Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem
Course Expectations, Course Policies, Requirements and Standards for Student Coursework and Student
Behavior:
Calculator policy: Only scientific calculators will be allowed on quizzes and exams; no graphing calculators.
Policy on late homework and missed quizzes: The lowest two quiz grades and the lowest written homework will be dropped.
Consequently, no make-up quizzes will be given and no late written homework will be accepted. Late on-line homework will
be accepted, but it will be marked down 50% after the due date/time.
Lecture expectations: Class attendance and participation is essential to student success. Come to class prepared: Before
attending a lecture, read thoroughly (from the book and from your class notes) the material covered in the previous lecture
and solve the related homework problems. During the lecture, we will discuss problems, work in groups sometimes, and
analyze concepts. Ask questions, and participate in the discussion!
Midterms: The tentative dates for the midterms are __________________________________________
Final exam: Date and time of final exam: ______________________________________
The final exam is cumulative. The exams will mainly consist of problems similar to those assigned as homework or discussed
in class. In addition, exam topics may include: provide complete definitions of relevant concepts, reproduce or justify
statements of major theorems, provide relevant examples, answer conceptual questions.
For technical support with WileyPLUS, please contact the WileyPLUS technical support; you can live chat about any technical
problem with their support staff.
For help with the mathematics, you have several options. You are always welcome to attend office hours. The Mathematics
and Science Tutoring Center http://www.umkc.edu/asm/mast/ provides free tutoring; tutoring can be scheduled one-on-one
or on-line.
Course Policies & Resources: Please refer to the following web page and the linked resources for critical
information regarding course policies and resources. You are expected to abide by all the rules and regulations
regarding student conduct referenced in these pages: http://cas.umkc.edu/CPR
Detailed schedule
Section
11.1
11.2
11.3
11.4
11.5
11.6
11.7
11.8
12.1
12.2
12.3
12.4
12.5
12.6
13.1
13.2
13.3
13.4
13.5
13.6
13.7
13.8
13.9
14.1
14.2
14.3
14.4
14.5
14.6
14.7
14.8
15.1
15.2
15.3
15.4
15.5
15.6
15.7
15.8
Topic
Rectangular coordinates in 3-space
Vectors
Dot product; projections
Cross product
Parametric equations of lines
Planes in 3-space
Quadric surfaces
Cylindrical and spherical coordinates
Introduction to vector-valued functions
Calculus of vector-valued functions
Change of Parameter; arc length
Unit tangent, normal and binormal vectors
Curvature
Motion along a curve
Functions of two of more variables
Limits and continuity
Partial derivatives
Differentiability
The chain rule
Directional derivatives and gradients
Tangent planes and normal vectors
Maxima and minima of functions of two variables
Lagrange multipliers
Double integrals
Double integrals over nonrectangular regions
Double integrals in polar coordinates
Surface area; Parametric surfaces
Triple integrals
Triple integrals in cyllindrical and spherical coord
Change of variables; Jacobians
Centers of gravity
Vector fields
Line integrals
Independence of Path
Green’s Theorem
Surface integrals
Flux
The divergence theorem
Stoke’s Theorem
(Include additional days/dates for exams, midterms, quizzes, review days.)
Approx. nr.
of lessons
.5
1.5
1
1
1
1
1
1
1
2
1
1
1
1.5
1
1
1
.5
1
2
1
1
1
1
1
1
.5-1
2
2
1.5
1
1
2
1.5
1
1
1
1
1