**Contact Information for the Instructor:**

**Instructor: Willard Miller**

**Office: Vincent
Hall 513**

**Office Hours:
10:10-11:00 M, 1:25-2:15 W, 9:05-9:55 F, or by appointment**

**Phone: 612-624-7379**

**miller@ima.umn.edu,
miller@math.umn.edu**

**www.ima.umn.edu/~miller/**

** Discussion Sections:**

** -014, 01:25 P.M. - 02:15 P.M.,
Tu, VinH 1, 01:25 P.M. - 03:20 P.M., Th, BuH 120,
**

** -017, 09:05 A.M. - 09:55 A.M.,
Tu, VinH 209, 09:05 A.M. - 11:00 A.M., Th, **1701 Univ 143,

**Jerald TerEick** , 624-7073, Vincent Hall 509, tereick@math.umn.edu

**Office hours: 9:00-11:30 W**** **** **

** Brief Course Description:**

- This is the second semester of a two semester course in one-variable calculus pitched to budding engineers.
- No textbook. Course booklets by Chester Miracle are available from Alpha Print.
- We will cover the following material :
- 1. Techniques and Applications of Integration
- 2. Differential Equations
- 3. Parametric Equations and Polar Coordinates
- 4. Infinite Sequences and Series
- 5. Integrals
- 6. Vectors and the Geometry of Space

Information about Course Management and Homework Assignments

Practice Gateway Exam (with solutions)

**FIRST MIDTERM: THURSDAY, OCTOBER 4, NICHOLSON 275**.

You may start
the exam either at 5:00 PM or 6:00 PM. Students who come
at 5 must remain

in their seats and be quiet until 6 even
if they have finished the exam. The exam is 60

minutes long. Students who start at 6 may leave when they are finished.

You may start
the exam either at 5:00 PM or 6:00 PM. Students who come
at 5 must remain

in their seats and be quiet until 6 even
if they have finished the exam. The exam is 60

minutes long. Students who start at 6 may leave when they are finished.

**THIRD MIDTERM: THURSDAY, DECEMBER 6, NICHOLSON 275**.

You may start
the exam either at 5:00 PM or 6:00 PM. Students who come
at 5 must remain

in their seats and be quiet until 6 even
if they have finished the exam. The exam is 60

minutes long. Students who start at 6 may leave when they are finished.

**Booklet: Vectors in the Plane (old 2005 version)**

**Booklet: Infinite Series and Taylor Polynomials (old 2005 version)
** 1. Cover page, Updated
homework assignments, Limits of sequences, Finite arithmetic and geometric
series

2. Definition of infinite series, Comparison test

3. Alternating series

4. Ratio test, Power series, Taylor series

5. Taylor polynomials, Manipulating power series

**FINAL EXAM: 1:30 - 4:30 PM FRIDAY, DECEMBER 14**, ANDERSON HALL 370

**"All students must have their official
University I.D. Card with them at the time of the final
exam and must show it to one of the proctors when**
**handing in their exam. The proctor will
NOT accept a final ex****am from a student without an I.D. Card."
**

**Some examples:**

**Spreadsheet implementations
of Euler's method (with an example showing
that roundoff error becomes significant when stepsize is
too small)
**

**Graphs of
some Taylor polynomial approximations of sin(x), -4 < x
< 4. Note that the Taylor polynomial T_19(x) is
such a good approximation that the graphs can't be distinguished
in the interval -4 < x < 4**.

Curvature

A derivation and interpretation of the formula for curvature