MATH 220 (Calculus II) Syllabus
Note: This syllabus is common to all MATH 220 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 220-****
Course Title: Calculus II
Course Description from the UMKC catalog: Techniques of integration, applications of the definite integral, improper
integrals, sequences and series, power series. Taylor series and convergence, analytic geometry in calculus.
Credit Hours: 4
Prerequisites: Math 210 (Calculus I), or Math 216 (Biomath I: Calculus and Modeling).
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 6: Sections 6.2, 6.4—6.7 (applications of the definite integral)
 Chapter 7: 7.1—7.6, 7.8 (techniques of integration, improper integrals)
 Chapter 9: 9.1—9.10 (infinite series)
 Chapter 10: 10.1—10.4, 10.6 (parametric and polar curves, conic sections)
 Chapter 11: 11.1, 11.2, 11.5 (introduction to 3-dim space and vectors)
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:
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
Use integral calculus to solve applied problems, such as computations of area, length, volume, surface area and work.
Understand and be able to explain how the computational methods are established, based on the notion of Riemann integral.
Compute integrals, using as appropriate the method of integration by parts, the method of partial fractions, methods associated
to trigonometric functions, and tables of integrals, in addition to the methods learned in MATH 210.
Recognize and evaluate improper integrals.
Explain clearly the definition of an infinite series as the limit of a sequence of partial sums. Recognize a geometric series and
correctly apply the convergence theorem. Be able to apply convergence tests (comparison, ratio, root, alternating series test) in
order to decide convergence/divergence/conditional convergence.
Derive the leading terms in the Taylor Polynomial for a function of one variable. Understand the use of these polynomials as
approximations of functions of one variable, and address the issue of error of this approximation. Use Taylor series to model
functions of one variable. Develop several methods of computing Taylor series in closed form.
Be able to explain the concept of radius of convergence of a power series, and apply the convergence tests to compute it in
concrete situations.
Recognize functions defined parametrically, and be able to translate between parametric equations and other ways of describing
a function. Be able to sketch the graph of various parametrically defined functions, and in particular be able to sketch graphs of
functions in polar coordinates. Adapt some of the topics studied for functions of one variable to functions defined parametrically:
tangent lines, arc length, computations of area.
Distinguish among the main types of conic sections and be able to graph them.
Develop an understanding of the rectangular coordinate system in 3‐space and of the use of vectors.
Use correct mathematical notation and language and provide clear and comprehensive explanations in writing, as needed.
Understand and be able to reproduce/mimic/adapt standard mathematical reasoning encountered in the study of Calculus.
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
5.5,7.1
6.2
6.4
6.5
6.6
6.7
7.2
7.3
7.4
7.5
7.6
7.8
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
9.10
10.1
10.2
10.3
10.4/10.6
11.1/11.2
11.5
Topic
Review
Volumes by slicing
Length of a plane curve
Area of a surface of revolution
Work
Moments, centers of gravity
Integration by parts
Integrating trigonometric functions
Trigonometric substitutions
Partial fractions
Tables of integrals (selected topics)
Improper integrals
Sequences
Monotone sequences
Infinite series
Convergence tests
Comparison, root, ratio tests
Alternating series
Taylor polynomials
Power series
Convergence of power series
Integrating and differentiating power series
Parametric equations
Polar coordinates
Tangents, lengths, area
Conic sections
Vectors in 3-dim
Parametric equations of lines
(Include additional days/dates for exams, midterms, quizzes, review days.)
Approx. nr.
of lessons
1
1.5
1
1
2
1
2
2
1.5
2
1
2
1
1.5
2
2
2
2
2
2
2
1.5
1.5
2
2
1.5
2
1