MATH 31 Calculus II Fall 2017 Syllabus

Instructor Information

Instructor: Dr. Robert Johnson

Email: robert.johnson@university.edu

Office: Mathematics Building, Room 412

Office Hours: Mondays 11:00 AM-12:30 PM and Wednesdays 2:00-3:30 PM

Course Description

Calculus II continues the study of calculus begun in MATH 30. This course introduces techniques of integration, applications of integration, infinite sequences and series, power series, parametric equations and polar coordinates. Students will develop their problem-solving skills and mathematical reasoning abilities through both theoretical and applied problems.

Learning Objectives

Upon successful completion of this course, students will be able to:

• Apply various integration techniques including integration by parts, partial fractions, trigonometric substitution, and improper integrals.
• Solve application problems involving areas between curves, volumes by slicing, volumes by cylindrical shells, arc length, surface area, work, and center of mass.
• Determine convergence or divergence of sequences and series using various tests.
• Represent functions as power series and determine intervals of convergence.
• Parametrize curves and perform calculus operations with parametric equations.
• Graph and analyze polar curves and perform calculus operations in polar coordinates.

Required Materials

• Textbook: Stewart, James. Calculus: Early Transcendentals. 8th edition. Cengage Learning, 2016. ISBN: 978-1285741550.
• Calculator: A scientific calculator is required for some homework. Graphing calculators (such as TI-83, TI-84) are recommended but not required. Note that calculators with computer algebra systems (such as TI-89, TI-92, HP-48) are not permitted on exams.
• Software: Maple 18 or later (available in university computer labs). Students will use Maple for some homework assignments.

Course Schedule

Week	Dates	Topics	Textbook Sections
1	Aug 21-25	Review of Calculus I, Areas between curves	Review, 6.1
2	Aug 28-Sep 1	Volumes by slicing, Volumes by cylindrical shells	6.2, 6.3
3	Sep 4-8	Arc length, Average value of a function, Applications to physics and engineering	6.4, 6.5
4	Sep 11-15	Exponential growth and decay, Differential equations, Integration by parts	6.7, 6.8, 7.1
5	Sep 18-22	Trigonometric integrals, Trigonometric substitution	7.2, 7.3
6	Sep 25-29	Integration of rational functions by partial fractions, Strategy for integration	7.4, 7.5
7	Oct 2-6	Integration using tables, Approximate integration, Improper integrals	7.6, 7.7, 7.8
8	Oct 9-13	Review, Midterm Exam
9	Oct 16-20	Sequences, Series	11.1, 11.2
10	Oct 23-27	The Integral Test, Comparison Tests	11.3, 11.4
11	Oct 30-Nov 3	Alternating series, Absolute convergence, Ratio and root tests	11.5, 11.6
12	Nov 6-10	Strategy for testing series, Power series	11.7, 11.8
13	Nov 13-17	Representations of functions as power series, Taylor and Maclaurin series	11.9, 11.10
14	Nov 20-24	Applications of Taylor polynomials, Parametric curves	11.11, 10.1
15	Nov 27-Dec 1	Calculus with parametric curves, Polar coordinates	10.2, 10.3
16	Dec 4-8	Areas and lengths in polar coordinates, Review	10.4, Review
17	Dec 11-15	Final Exam Week

Assessment and Grading

Your final grade will be determined as follows:

• Homework: 15% - Weekly assignments due on Fridays by 5:00 PM
• Quizzes: 15% - Short quizzes on Thursdays covering recent material
• Midterm Exam: 30% - October 12, 2017, in class
• Final Exam: 40% - Comprehensive final exam during finals week

Grading Scale

• A: 93-100%
• A-: 90-92.9%
• B+: 87-89.9%
• B: 83-86.9%
• B-: 80-82.9%
• C+: 77-79.9%
• C: 73-76.9%
• C-: 70-72.9%
• D+: 67-69.9%
• D: 63-66.9%
• D-: 60-62.9%
• F: Below 60%

Homework Policy

Homework will be assigned weekly and collected on Fridays. Late homework will not be accepted except in cases of documented illness or emergency. Students may discuss homework problems with each other but must write their own solutions. Copying another student's work is a violation of academic integrity.

Quiz Policy

Quizzes will be given during the Thursday class meetings. Each quiz will cover material from lectures and homework from the previous week. There will be no make-up quizzes, but your lowest quiz score will be dropped.

Exam Policy

Missed exams will be given a score of zero unless you have a documented excuse approved by the instructor. If you must miss an exam due to a legitimate reason, you must inform the instructor in advance if possible and provide documentation of the absence.

Students may bring one 8.511 inch sheet of handwritten notes to each exam. No other reference materials are allowed. Calculators without computer algebra systems may be used on exams.

Attendance Policy

Regular attendance is expected of all students. While attendance is not directly calculated into your grade, frequent absences will almost certainly negatively impact your performance in the course. If you must miss class, it is your responsibility to obtain notes and announcements from classmates.

Academic Integrity

Academic honesty is expected of all students. All work submitted for assessment must be your own. The university policy on academic dishonesty will be strictly enforced. Penalties for academic dishonesty may include a failing grade on the assignment or exam, a failing grade in the course, and referral to university disciplinary committees.

Resources and Support

• Mathematics Tutoring Center: Located in the Learning Commons, Library, 2nd floor. Tutors are available Monday-Thursday 9 AM-8 PM and Friday 9 AM-3 PM.
• Office Hours: Please come to office hours if you need help with the course material. These are times specifically set aside to help students.
• Study Groups: Forming study groups with classmates is encouraged as a way to deepen your understanding of the material.

Students with Disabilities

If you have a documented disability and require accommodations, please contact the Disability Services Office at (555) 123-4567 as soon as possible. I will work with you and the Disability Services Office to ensure appropriate accommodations are made.

Course Policies Addendum

Please check the course website regularly for announcements and any updates to the syllabus. The instructor reserves the right to modify this syllabus as necessary to meet the needs of the class. Any changes will be announced in class and posted on the course website.

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