Math 1297 links:
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Course Information and Syllabus
Course Information
- Instructor: Bruce Peckham, Assoc. Professor, Dept. of Mathematics and Statistics
- Office: 104 Solon Campus Center, 726-6188
- Email: bpeckham@d.umn.edu
- Web:
http://www.d.umn.edu/~bpeckham
- Course Homepage:
http://www.d.umn.edu/~bpeckham/1297/
- Office Hours: MT 4-5, WTh 10-10:50, F 11-12, or by appointment
- Graduate Teaching Assistants:
- Laurence Lin (Discussion sections 9,13,14)
- Riitta Schaublin (Discussion sections 10,11,12)
- 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.
Syllabus
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:
| Chapter | Section |
| 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 |
|
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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
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