January 14 Homework for Wednesday, January 14
January 21 Homework for Wednesday, January 21
January 23 Handout with problems on integration by substitution:
7 - 14, 16 - 22, 35 - 40
January 28 Campus Closed; assignment postponed as below
January 30 page 220: 1, 2, 3, 4, 5, 6
page 236: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 16, 17, 18, 19, 24
February 4 page 149: 1, 2, 3, 4, 5 Also find f' and g' for each problem
Also: decide if there is a continuous function that maps
[0,1] onto (2,3), that is, prove that there is not, or give an example of such a function
Handout: Inverse Functions, final version
February 6 Homework for Friday, February 6
February 11 page 248: 1 - 10, 13, 14, 15, 17 + int (exp(3x+7), int cos(x) exp(sin(x)),
int x exp(x^2), int 2^x
February 13 page 257: 1, 3, 5, 6, 7, 9, 12, 13, 14, 15, 16, 17, 18
February 17 page 258: 29 - 35
page 267: 1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 14, 15
February 20 9:10-10:10 Test II on basic differentiation and integration of the elementary functions: polynomial, rational,
trigonometric, logarithmic, exponential, and inverse trigonometric functions
Differentiation Sample Test Solutions
Integration Sample Test Solutions
February 27 9:10-10:10 Test I on ideas about functions being increasing, decreasing, one-to-one, or onto
and the applications of these ideas to inversion of functions and the calculus that follows.
In addition, the test will cover techniques of integration such as integration by parts,
and partial fractions
Finally, we will have some things about graphing functions, max-min problems and related rate problems
Handout: Inverse Functions, final version
No Office Hours Friday, February 27
March 6 Homework for Friday, March 6
March 11 page 278: 1 - 10
Spring Break: March 14 - 22
March 27 Homework for Friday, March 27
March 30 page 295: 1, 4, 5, 7, 9
page 303: 1, 3, 6, 9, 13, 14
April 1 Read section 10.1
page 382: 1 - 18
April 6 page 391: 1 - 7
page 393: 1 - 5 (In each case, write x explicitly in a way that
includes a geometric series and use this to find your answer.)
April 8 page 398: 1 - 10
April 10 page 402: 1 - 9, 11
April 13 page 409: 1 - 12
April 15/17 For discussion:
page 430: 1 - 9
page 438: 1, 2, 3, 13, 14, 15, 17
April 20 9:00-10:15 Test III in LD 265 on Taylor polynomials, Taylor's formula with remainder, and L'Hopital's rule
(Chap 7) and convergence of sequences, infinite series (of constants), and power (Taylor) series (Chap 10)
No Office Hours Monday, April 20
April 22 page 420: 1 - 7
April 27 Homework for Monday, April 27
May 1 page 111: 1, 2, 5, 6, 7, 8, 14, 15
May 6 Final Exam: 8am - 10am, LD 002
Covers all topics from the semester, including: related rates,
optimization, integration by substitution, application of derivatives to graphing,
inverse functions (one-to-one, onto functions) and their derivatives,
definition and properties of logarithm, exponential, inverse trigonometric functions
and their derivatives and integrals, techniques of integration: parts, partial fractions,
trig and other special substitions, Taylor polynomials, Taylor's theorem with remainder, approximation of functions,
L'Hopital's rule, convergence of sequences and series, tests for convergence, power (Taylor) series,
parametric equations, polar coordinates, arc length
May 7 3:00p Last time to take Test 2