Calculus Math 2002 Spring 2007

Instructor: Ted Wetherbee, 417W, 879-0840, ted@fdltcc.edu
Course Web Site:

Instructor's Schedule:

Text: Calculus (and Analytic Geometry), Thomas & Finney, pub. Addison Wesley

The Course  This is the second semester of a 2 or 3 semester calculus sequence.
Your text is typically used for 3 semesters of calculus.  I happen to think that
this edition of Thomas is fairly close to being the perfect calculus textbook.
The later editions of Thomas' Calculus are not improved, and I've not seen the
modern competition as being significantly better.

Your textbook is very important to use for your homework assignments.  Be
prepared to spend some time on your homework.  First, read the assigned section
carefully.  Rarely are sections very long, and often we will spend more than one
class on one section.  Work through some of the examples in each section.  Unlike
other math books you've seen, Thomas' Calculus examples are often important,
significant.  Applications of calculus are vast, so it is usually easy to find
interesting homework problems throughout the course.

Grading
tests   5 x 100 =  500
50 homework 50x2 = 100
final              300
=========================
total              900

90-100% A, 80-90% B, 70-80% C, 60-70% D, 0-60% F.


Tentative Schedule for Spring 2007:
Jan 8  Mon(1)  7.1 basic integration formulas
Jan 9  Tue(2)  7.2 integration by parts
Jan 10 Wed(3)  7.2 integration by parts
Jan 11 Thu(4)  7.3 partial fractions
Jan 12 Fri(5)  7.3 partial fractions

Jan 15 Mon     NO CLASSES
Jan 16 Tue(6)  7.4 trig subs
Jan 17 Wed(7)  7.4 trig subs
Jan 18 Thu(8)  7.5 integral tables and CAS (mupad, Mathematica, etc.)
Jan 19 Fri(9)  7.6 improper integrals

Jan 22 Mon(10) test 7 review
Jan 23 Tue(11) test 7
Jan 24 Wed(12) 8.1 limits of sequences
Jan 25 Thu(13) 8.2 limit theorems for sequences
Jan 26 Fri(14) 8.3 infinite series

Jan 19 Mon(15) 8.3 infinite series
Jan 30 Tue(16) 8.4 integral test - non-negative terms
Jan 31 Wed(17) 8.5 comparison test
Feb 1  Thu(18) 8.6 ratio and root test
Feb 2  Fri(19) 8.7 alternating series: absolute and conditional convergence

Feb 5  Mon(20) 8.8 power series
Feb 6  Tue(21) 8.9 Taylor and Machaurin series
Feb 7  Wed(22) 8.9 Taylor and Machaurin series
Feb 8  Thu(23) 8.10 Taylor series: error estimates
Feb 9  Fri(24) 8.11 applications of power series

Feb 12 Mon(25) 8.11 applications of power series
Feb 13 Tue(26) test 8 review
Feb 14 Wed(27) test 8
Feb 15 Thu(28) 9.1 conic sections
Feb 16 Fri(29) 9.1 conic sections

Feb 19 Mon     NO CLASSES
Feb 20 Tue     NO CLASSES
Feb 21 Wed(30) 9.2 eccentricity classification
Feb 22 Thu(31) 9.3 quadratic equations and rotations
Feb 23 Fri(32) 9.4 parametrization of plane curves

Feb 26 Mon(33) 9.4  parametrization of plane curves
Feb 27 Tue(34) 9.5 calculus of parametrized curves
Feb 28 Wed(35) 9.6 polar coordinates
Mar 1  Thu(36) 9.7 graphing in polar coordinates
Mar 2  Fri(37) 9.8 polar equations for conic sections

Mar 5  Mon(38) 9.8 polar equations for conic sections
Mar 6  Tue(39) 9.9 integration in polar coordinates
Mar 7  Wed(40) test 9 review
Mar 8  Thu(41) test 9
Mar 9  Fri(42) 10.1 vectors in the plane

Mar 12 Mon(43) 10.1 vectors in the plane
Mar 13 Tue(44) 10.2 Cartesian coordinates and vectors in space
Mar 14 Wed(45) 10.3 dot products
Mar 15 Thu(46) 10.4 cross products
Mar 16 Fri(47) 10.4 cross products

Mar 26 Mon(48) 10.5 lines and planes in space
Mar 27 Tue(49) 10.6 cylinders and quadric surfaces
Mar 28 Wed(50) 10.7 cylindrical and spherical coordinates
Mar 29 Thu(51) test 10 review
Mar 30 Fri(52) test 10

Apr 2  Mon(53) 11.1 vector values functions and space curves
Apr 3  Tue(54) 11.1 vector values functions and space curves
Apr 4  Wed(55) 11.2 projectile motion
Apr 5  Thu(56) 11.2 projectile motion
Apr 6  Fri(57) 11.3 arc length and tangent vector T

Apr 9  Mon(58) 11.3 arc length and tangent vector T
Apr 10 Tue(59) 11.4 curvature, tortion, and TNB frame
Apr 11 Wed(60) 11.4 curvature, torsion, and TNB frame
Apr 12 Thu(61) 11.5 planetary motion and satellites
Apr 13 Fri     NO CLASSES

Apr 16 Mon(62) 11.5 planetary motion and satellites
Apr 17 Tue(63) test 11 review
Apr 18 Wed(64) test 11
Apr 19 Thu(65) 12.1 functions of several variables
Apr 20 Fri(66) 12.2 limits and continuity

Apr 23 Mon(67) 12.3 partial derivatives
Apr 24 Tue(68) 12.3 partial derivatives
Apr 25 Wed(69) 12.4 differentiability, linearization, and differentials
Apr 26 Thu(70) 12.5 chain rule
Apr 27 Fri(71) 12.5 chain rule

Apr 30 Mon(72) 12.6 partial derivatives with constraints
May 1  Tue(73) 12.7 directional derivatives, gradient vectores and tangent planes
May 2  Wed(74) 12.7 directional derivatives, gradient vectores and tangent planes
May 3  Thu(75) 12.8 extreme values and saddle points
May 4  Fri     NO CLASSES

May 7  Mon(76) 12.9 Lagrange multipliers
May 8  Tue(77) 12.10 Taylor's formula
May 9  Wed(78) final review
May 10 Thu     T1 (12-2 in room 228), (2-4 in room 256)
May 11 Fri     T2 (2-4 in room 232)

May 14 Mon     T3 (9-11 in room 228)
May 15 Tue     T4  (9-11 in room 228)

NOTE: Show up for one of the five final dates and times
in parenthesis above.