Jen Paulhus, Ph.D.

Calculus I

email: paulhus@math.grinnell.edu     pgp key
Office Hours: Mondays 10 - 11 AM, Tuesdays 1:30 - 2:30 PM, Wednesdays 11 AM -12 PM, Thursdays 2:30 -3:30 PM, or by appointment (all on Zoom for now)

Class Meeting: Monday, Wednesday, and Friday 8:30-9:50 AM or 2:30-3:50 PM

Text: Calculus 6th edition, Stewart
Material Covered: Chapters 2-7

Syllabus

Homework Assignments

Quiz Topics

Exam Info

MathLab information is here.

Review Questions on Precalculus Material
Solutions to Review

Daily Topics

Class Date Section Word List
 Aug. 27   2.1-2.2   informal definition of the limit of a function (pg. 66)
 Aug. 30 2.2, 2.4 one-sided limits (pg. 71), vertical asymptotes, formal definition of the limit of a function
Sep. 1 2.4 no words: look over the formal definition of the limit of a function and think about questions you have
Sept. 3 2.3 limit laws
Sept. 6 2.5 continuous at a number, continuous on an interval, intermediate value theorem
Sept. 8 3.1 instantaneous velocity, secant line, derivative of a function at a number
Sept. 10 3.2/3.3 differentiable at a point, differentiable on an interval, second derivative, derivative of a constant, power rule
Sept. 13 3.3 constant multiple rule, sum rule, product rule, quotient rule
Sept. 15 3.4 derivative of trig functions
Sept. 17 3.5 the chain rule, review composition of functions
Sept. 20 3.6 implicit differentiation
Sept. 22   Exam 1
Sept. 24 3.7 average rate of change, instantaneous rate of change, velocity, acceleration
Sept. 27 3.8 strategy for related rates problems (pg. 185)
Sept. 29 4.1 absolute maximum/minimum, local maximum/minimum, Extreme Value Theorem, critical number
Oct. 1 4.2/4.3 Mean Value Theorem, increasing/decreasing test, first derivative test
Oct. 4 4.3 concave upward, concave downward, second derivative test, inflection point
Oct. 6 4.4 horizontal asymptote, precise definition of infinite limit (pg 237)
Oct. 8 4.5 even function, odd function, period, slant asymptotes
Oct. 11 4.7 steps to solve optimization problems (pg 256-257)
Oct. 13 4.7 no word: review optimization problems more
Oct. 15 5.1 area of a region that lies under the graph of a continous function (pg. 294), sigma notation
Oct. 25 5.2 Riemann sum, summation rules (boxes 5 through 11 pg. 303)
Oct. 27 Exam 2

Homework Assignments

Homework assignments are due on Gradescope by 11 PM on the date listed below (Sunday/Tuesday/Thursday evening). If you work with others on the homework, list their names at the top of the page. Put a star next to any problems for which you received help at the Math Lab. This is purely for bookkeeping purposes and will not affect your score.

Show your work on the homework. Answers with no work will receive zero points.

HW Due date Turn In Problems Additional Problems
# 0 Aug. 29 Email
1.3: 34, 40, 54
1.3: 35, 39, 55
# 1 Aug. 31 1.3: 44, 48, 50
2.1: 2
2.2: 2, 6, 12
1.3: 43, 49
2.1: 1
2.2: 1, 7, 13
# 2 Sep. 2 2.2: 8, 10, 28
2.4: 2
2.2: 9, 27, 29
2.4: 1
# 3 Sep. 5 2.2: 14, 32, 40
2.4: 4
2.3: 4, 8
2.2: 15, 25
2.4: 3, 7
2.3: 3, 9
# 4 Sep. 7 2.3: 6, 12, 16, 28
2.5: 4, 6, 8
2.3: 5, 11, 15, 29
2.5: 2, 3, 5
# 5 Sep. 9 2.3: 22, 30
2.5: 10, 16
3.1: 4a(ii only) and b
2.3: 25, 27
2.5: 11, 17
3.1: 3a(ii only) and b
# 6 Sep. 12 2.5: 20
3.1: 8, 26, 32, 46
3.2: 2, 10, 12
3.3: 2
2.5: 19
3.1: 7, 25, 31, 47
3.2: 1, 5, 9
3.3: 1
# 7 Sep. 14 3.1: 48
3.2: 22, 24, 36
3.3: 6, 8, 12, 18, 22, 24
3.1: 49
3.2: 17, 21, 25, 35
3.3: 5, 7, 11, 19, 23, 25
# 8 Sep. 16 3.2: 26, 40
3.3: 30, 34, 40, 56 (tangent line only)
3.4: 4, 8, 10
3.2: 27, 39
3.3: 31, 33, 39, 53 (tangent line only)
3.4: 3, 7, 11
# 9 Sep. 19 3.3: 60, 64
3.4: 12, 14, 16, 30, 32
3.3: 59, 63
3.4: 11, 13, 15, 29
# 10 Sep. 23 3.5: 6, 10, 12 3.5: 3, 9, 11
# 11 Sep. 26 3.5: 18, 20, 24, 34
3.6: 4, 8, 14
3.7: 20
3.5: 17, 19, 25, 35
3.6: 3, 7, 13
3.7: 21
# 12 Sep. 28 3.5: 26, 28, 40
3.6: 10, 16, 18, 26
3.7: 28
3.5: 27, 29, 45
3.6: 9, 17, 19, 25
3.7: 27
# 13 Sep. 30 3.6: 34, 40
3.7: 32
3.8: 4, 10
4.1: 4, 8
3.6: 35, 41
3.7: 31, 33
3.8: 3, 11
4.1: 3, 9
# 14 Oct. 3 3.8: 6, 16, 18
4.1: 30, 34, 48, 52
4.2: 2, 6, 12
3.8: 15, 21
4.1: 31, 35, 49
4.2: 3, 5, 11
# 15 Oct. 5 3.8: 28
4.1: 38, 50
4.2: 14
4.3: 2, 6, 10, 14
3.8: 33
4.1: 41, 51
4.2: 13
4.3: 1, 7, 9, 13
# 16 Oct. 7 4.3: 16, 18, 20, 30, 40
4.4: 4, 10, 14, 22
4.3: 15, 17, 21, 29, 33
4.4: 3, 9, 13, 19
# 17 Oct. 10 4.3: 28
4.4: 12, 16, 54
4.5: 22, 38
4.3: 27
4.4: 11, 17, 53
4.5: 21, 37
# 18 Oct. 12 4.5: 24, 44
4.7: 6, 12
4.5: 45
4.7: 5, 13
# 19 Oct. 14 4.7: 18, 24, 32 4.7: 17, 23, 33
# 20 Oct. 24 4.7: 34, 52, 58 4.7: 31, 47

Quiz Topics

Quizzes will be posted on Gradescope at 5PM on the day listed under "Posting Date". They are due by 11:59 PM on the day listed under "Due Date" (31 hours after they are posted). You will have 30 minutes from the time you first access the quiz to complete it.

Quiz Posting Date Due Date Section(s)
# 1 Aug. 31 at 5 PM Sep. 1 at 11:59 PM diagnostic test (xxiv-xxviii) and 1.3 
# 2 Sep. 7 Sep. 8 2.1, 2.2, 2.4 (formal definition of limit and epsilon-delta from pictures only)
# 3 Sep. 14 Sep. 15 2.3, 2.5 (basic definition of continutity only), 3.1-3.2
# 4 Sep. 28 Sep. 29 3.5, 3.6
# 5 Oct. 5 Oct. 6 3.7, 4.1, 4.2
# 6 Oct. 12 oct. 13 3.8, 4.3, 4.4

Exam Reviews

Exam 1 Review               Solutions
Exam 2 Review               Solutions posting over break