## Calculus I (Math 180 C & D, Fall 2011)

#### Sage Worksheets

Use the Sage notebook "Upload" function to pull these worksheets into your Sage notebook.
• Epsilon-Delta (Once into your notebook: click on the code, then click the "evalute" link below it.)

#### Whitman Calculus

The table below is a guide to the Whitman Calculus textbook (link above) where you can find more about the topics from our course.

University Calculus Whitman Calculus Topic
Section 1.3 Section 1.1 Functions
Section 1.2 Section 1.4 Shifts, scaling graphs
Section 1.4 Section 4.6 Review of exponential and logarithmic functions
Section 1.3 Section 4.1 Review of trigonometric functions
Section 2.1 Section 2.1 Secant lines
Section 2.1 Section 2.2 Motion example
Sections 2.2,2.3 Section 2.3 Limit rules, formal definition
Section 2.2 Section 4.3 Limit sin(x)/x
Section 3.2 Sections 3.1-3.4 Differentiation rules
Section 3.4 Sections 4.2, 4.4, 4.5 Derivatives of trigonometric functions
Section 3.5 Section 3.5 Chain rule
Section 3.6 Section 4.9 Implicit differentiation
Section 3.7 Section 4.7 Derivatives of exponential, logarithmic functions
Section 3.8 Section 4.10 Derivatives of inverse trigonometric functions
Section 3.9 Section 6.2 Related rates
Section 3.10 NA Linear approximations
Section 3.11 NA Hyperbolic tigonometric functions
Section 4.1 Section 5.1 Extrema
Section 4.2 Section 6.4 Mean Value Theorem
Section 4.3 Section 5.2 First derivative test
Section 4.4 Section 5.3, 5.4 Second derivative test
Sections 5.1, 5.2 Section 7.1 Areas via sums
Section 5.3 Section 7.3 Properties of definite integrals
Section 5.4 Section 7.2 Fundamental theorem of calculus

#### Homework Exercises

These are the homework exercises for each section. This list may be adjusted slightly as the course progresses.

Section Page Exercises
1.1 11 5, 15, 20, 55, 58
1.2 20 10, 17, 21, 22, 56, 57
2.1 61 1-4, 7, 9, 11, 15, 17
2.2 71 71, 78, 79, 3, 4, 14, 20, 28, 50, 61, 65
2.3 80 7, 10, 15, 16, 25, 26, 37, 38
1.3 28 4, 6, 9, 13, 14, 25, 33, 35, 39, 41, 60ab
2.4 94 3, 6, 9, 22, 29, 47, 55, 57
2.5 102 4, 8, 17, 21, 30, 31, 36, 37, 40, 41, 61
2.6 113 5-10, 15, 18, 20, 35, 36, 41, 46, 47
2.7 118 5, 8, 9, 13, 18, 28, 29
1.4 35 2, 9, 25, 28, 29, 30, 31, 33, 34
3.1 132 1, 4, 9, 15, 23, 27-30, 33, 39, 40
3.2 144 1, 3, 7,...,46 (by 3's), 50, 51, 54
3.3 153 7, 10, 13, 15, 17, 23, 24, 28
3.4 162 1-29 odd, 31, 36, 41, 48, 49
3.5 173 2, 5, 11, 16, 19, 24-72 by 3's, 78, 109, 110
1.5 47 10, 16, 25, 28, 31, 45, 51, 52
3.6 181 1-13 odd, 21, 24, 28, 39, 44
3.7 192 13-40 by 3's, 51, 52, 57, 61, 67-88 by 3's
3.8 199 21 - 41 odd, 48, 65
3.9 205 13, 14, 16, 17, 19, 24, 33
3.10 218 5, 11, 12, 17, 27, 31, 40, 43, 45, 48, 54
3.11 225 2, 8, 11b, 13-35 odd, 45
4.1 243 1, 3, 5, 7, 9, 17, 18, 19, 20, 29, 30, 31, 39, 47, 57, 58
4.2 251 1, 3, 5, 23, 24, 29, 48, 53, 55
4.3 258 1, 3, 5, 7, 11, 19, 29, 32, 37, 43
4.4 267 1, 3, 13, 15, 25, 27, 29, 33, 35, 42
4.5 276 8, 11, 15, 20, 22, 25
4.7 294 2, 3, 6, 10, 18
4.6 289 4, 5, 13, 18, 21, 29, 37, 46, 58, 66
4.8 302 27-69 by 3's, 92, 93, 119
5.1 322 2, 3, 6, 10, 11
5.2 331 7, 8, 13, 14, 19, 36, 37
5.3 341 9, 10, 15, 16, 17, 18, 39, 42, 45, 47, 59
5.4 345 3-33 by 3's, 41, 42, 52, 53

This is: http://buzzard.ups.edu/courses/2011fall/m180f2011.html
Maintained by: Rob Beezer
Last updated: September 28, 2011