Dept. of Mathematics and Statistics

Math 1297 - Calculus II
Spring 2007 Lecture Section 8

Prof. Bruce B. Peckham

Math 1297 links:

Course Information and Syllabus

Course Information

  • Instructor: Bruce Peckham, Assoc. Professor, Dept. of Mathematics and Statistics
  • Office: 104 Solon Campus Center, 726-6188
  • Email:
  • Web:
  • Course Homepage:
  • Office Hours: MT 4-5, WTh 10-10:50, F 11-12, or by appointment

  • Graduate Teaching Assistants:
  • Meeting times:
    • Lecture: MWF 1:00 - 1:50 in Solon Campus Center 120. Professor Peckham will present the lectures. Professors' responsibilities at UMD are typically divided between teaching, research, and service. Select this Professor link for a short description of what professors do.
    • Discussion Sections: Tuesdays and Thursdays. Everyone should be signed up for one of the six discussion sections (sections 9-14). There are two Teaching Assistants for the course: Laurence Lin and Riitta Schaublin. Both are students at UMD, pursuing their masters' degrees in the Applied and Computational Mathematics Program. Select this GTA link for a short description of what Graduate Teaching Assistants do. They spend roughly half of their time teaching this course and the other half taking their own upper level courses and working on their research projects.
  • Texts:
    • Required: Calculus, by James Stewart, 5th edition.
    • Optional: Student Solutions Manual for Single Variable Calculus by Stewart This Manual includes worked out solutions to the odd problems. (The main textbook includes only answers to the odd problems.) CAUTION: If this solutions manual is used improperly, it is more likely to hurt than help. Specifically, it should be only used after you have tried to do a problem on your own, but have been unable to finish the problem. NOTE: This collection of solutions does NOT include solutions for Chapters 13 and 15. Solutions for those chapters are included in the Student Solutions Manual for Multivariable Calculus.
    • Optional: Study Guide for Single Variable Calculus by Stewart NOTE: This Study Guide does NOT include material for Chapters 13 and 15. Study Guides for those chapters are included in the Study Guide for Multivariable Calculus.
  • Student Response Cards (Clickers). The clickers will be used for a combination of survey questions which should help me make decisions to improve my lectures, and for short quizzes. Typically these will be either at the beginning or end of a lecture. Information on registering your clicker is posted on the course home page.
  • Prerequisites: Math 1296 Calculus I or Math 1290 Calculus for the Natural Sciences, or Math 1597 Honors Calculus I, or equivalent, or advising placement via the Math Placement Exam.


This course covers the second part of a standard introduction to calculus. It in includes discussion of vectors, applications of integrals, transcendental functions, series, and multivariable functions and partial derivatives. Some supplemental material, not included in the text, may occasionally be presented in lecture.

Course Content and Corresponding Text Sections for Calculus, 5th Edition by James Stewart, 2003:

13 Vectors and the Geometry of Space Systems 13.1 Three - Dimensional Coordinate
13.2 Vectors
13.3 The Dot Product
13.4 The Cross Product
13.5 Equations of Lines and Planes
13.6 Cylinders and Quadric Surfaces
13.7 Cylinders and Spherical Coordinates
7 Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions. 7.1 Inverse Functions
7.2 Exponential Functions and Their Derivatives
7.3 Logarithmic Functions
7.4 Derivatives of Logarithmic Functions
7.5 Inverse Trigonometric Functions Applied Project = Where To Sit at the Movies 7.6 Hyperbolic Functions.
7.7 Indeterminate Forms and L'Hospital's Rule
8 Techniques of Integration 8.1 Integration by Parts(Quick Review Only)
8.2 Trigonometric Integrals
8.3 Trigonometric- Substitution
8.4 Integration of Rational Functions by Partial Fractions
8.5 Strategy for Integration
8.6 Integration Using Tables
8.7 Approximate Integration
8.8 Improper Integrals(Quick Review Only)
9 Further Applications of Integration 9.1 Arc Length
9.2 Area of a Surface of Revolution
9.3 Applications to Physics and Engineering **
9.4 Applications to Economics and Biology **
9.5 Probability **
12 Infinite Sequences and Series 12.1 Sequences
12.2 Series
12.3 The Integral Test and Estimates of Sums
12.4 The Comparison Tests
12.5 Alternating Series
12.6 Absolute Convergence and the Ratio and Root Tests
12.7 Strategy for Testing Series
12.8 Power Series
12.9 Representations of Functions as Power
12.10 Taylor and Maclaurin Series
12.11 The Binomial Series **
12.12 Applications of Taylor Polynomials
15 Partial Derivatives 15.1 Functions of Several Variables
15.2 Limits and Continuity
15.3 Partial Derivatives
15.4 Tangent Planes and Linear Approximations

** Included as time permits

Grading (Topics are tentative)

Exam 1 Friday, Feb. 16 Ch's 13, 7 15%
Exam 2 Friday, Mar. 30 Ch's 8,9,12.1-12.3 18%
Exam 3 Friday, Apr. 27 Ch's 12, 15 20%
Final Exam TBA Cumulative 30%
HW and Quizzes Throughout the semester ... 17%
Total 100%
The 17% Quiz and HW weights will be distributed as follows: Clicker quizzes 3% (drop the lowest 2); Online HW 4% (drop the one lowest); written HW 3% (drop the one lowest); Quizzes 7% (drop the one lowest). Grades for the clicker quizzes, online HW, written HW, three hour exams, and final exam will be assigned on a single curve for all six sections together. The curve will be at least as "generous" as 90% for A's, 80% for B's, 70% for C's, 60% for D's. Further adjustments will be made by the TA's in their own sections by taking into account the Quizzes. Final course grades will then be assigned by the TAs, subject to the constraint that as many grades will be raised as lowered due to the contributions of the Quizzes.

Student Responsibilities

  • General policy statement: Lectures, discussion sections, material in the text, tests, quizzes and homeworks are all intended to complement each other. No one is a replacement for any of the others. You are, in general, expected to learn material which is covered via any of these sources.
  • Homework: Homework will be assigned weekly and posted on the course web page. Unless otherwise indicated, homework on sections covered in lecture is expected to be completed before the next lecture. Homework will be collected by your TA's every Tuesday in Discussion. See the schedule on the course assignments page All work should be shown for homework handed in. Adhere to the ``Minimum Standard Requirements For Mathematics and Statistics Homework/Lab Assignments.'' You are encouraged to look at and/or try problems other than those assigned, as well. It is often instructive to read the problems at the end of each section and think about how you would solve them, even if you don't actually attempt to solve them.
  • Quizzes Quizzes will be given on most Thursdays at the end of the Discussion class.
  • Keeping track of due dates: It is the student's responsibility to keep track of all exam, quiz, and HW due dates. Due dates will be kept on the course homepage and announced by the Instructor and/or Teaching Assistants or by email via the class alias. Students are responsible for checking their email at least once between every class. They should also check the course homepage for changes in assignments and due dates. I will typically send an email whenever material on the Course web page has been updated.
  • Missed Exams or Quizzes: Missed quizzes or exams will be assigned a zero score unless you provide a valid written, signed (by a Doctor, for example) excuse for your absence; unless it is not possible to do so, you must inform your intructor (for exams) or TA (for quizzes ahead of time. Arrangements for a makeup should be made as soon as you know you will miss. If you miss an exam or quiz, contact the Instructor/TA immediately. Do not wait for the next class. You can leave the Instructor/TA a message 24 hours a day by phone or email. Oversleeping, poor preparation, slight colds, and cold weather are not valid excuses.
  • Late HW: Unexcused (by a Doctor's note, for example) late HW assignments will be counted for half credit up to one week late. More than one week late will receive no credit.
  • Cheating: There is no excuse for cheating. There will be no tolerance of cheating. Exams and quizzes are to be done on your own, without the help of unapproved notes, calculators (see below), and other people. Students cheating on any exam or quiz will be assigned a score of zero on that assignment as well as facing disciplinary action. Students are encouraged to study and work on homework assignments together, but each student should write up his or her own solutions in his or her own words. Copying homework solutions from solution manuals or from other students is expressly forbidden. Student solution manuals should be used only after a solution has been seriously attempted, or better, completed.
  • Student Academic Integrity: See


    As a general policy, technology is encouraged for tasks that the student completely understands, but would require more time to perform by hand. In the context of Calculus II, this means that calculators are encouraged for algebraic manipulation and graphing, but not for "symbolic manipulation." That is, since you are learning how to differentiate and integrate in Calculus, calculators should not be used for these tasks, except to check answers for work already done by hand. In order to be able to test these symbolic skills fairly for the whole class, Calculators which perform symbolic manipulation, such as the TI-89, will not be allowed on exams. Scientific and graphing calculators will be allowed, but exams and quizzes will be written to minimize the benefit of having a calculator. See the department policy at the department calculator link.

    Liberal Education Statement

    This course satisfies the UMD Liberal Education requirement for Category Two: Math, Logic, and Critical Thinking. The Calculus is a universal mathematical tool that is used in many diverse areas including business, economics, boilogy, geology, chemistry, physics, and engineering. Whenever measured quantities change with respect to time, or other variables, calculus is probably involved. By the end of the term, the successful student will understand the important role that calculus plays in modeling real-world phenomena and how to apply calculus to problems in his/her discipline. Business, economics, biology, geology, chemistry, physics, engineering and numerous other disciplines make heavy use of calculus.


    Please inform me of any disabilities of which I should be aware in order to provide for equitable participation.


    Help is usually available M-F at the Tutoring Center in Solon Campus Center (SCC) 40. Schedules are posted there.

    Courses Related to Calculus II

    Calculus I is the usual prerequisite for Calculus II: Department Course Description for Calculus I Single Variable Calculus, Part I.

    Math 1297 (Calculus II) is a prerequisite for Math 3298 (Calculus III: Multivariable Calculus), and for Math 3280 (Differential Equations and Linear Algebra). See the following links for descriptions of these courses:


Copyright 2007 Bruce Peckham.

This page is maintained by Bruce Peckham ( and was last modified on Thursday, 25-Jan-2007 16:43:36 CST.