Jen Paulhus, Ph.D.

Calculus II

email: paulhus@math.grinnell.edu     pgp key
Office Hours: Wednesday 10-11:50 AM, or by appointment

Class Meeting: Monday 10-11:50 AM, Tuesday 10-11:15 AM, Thursday 10-11:15 AM, Friday 10-11:50 AM

Text: Calculus 6th edition, Stewart
Material Covered: Chapters 8, 11, 13-16

Syllabus

Homework Assignments

Quiz Topics

Exam Info

MathLab information is here.

Daily Topics

Class Date Section Word List
Feb. 1 11.1 parameter, parametric equations, parametric curve, initial point, terminal point
Feb. 2 13.1-13.2 coordinate planes, equation of a sphere, distance formula in 3D, vector, scalar multiple, position vector, magnitude
Feb. 4 13.2, 13.3 properties of vectors (pg. 810) standard basis vectors, unit vectors, dot product, properties of dot products, orthogonal vectors
Feb. 5 13.3, 13.4, 13.5 vector projection, scalar projection, cross product, determinant of order 2, determinant of order 3, vector, parametric, and symmetric equations of a line, skew lines
Feb. 8 13.5, 14.1 vector, scalar, and linear equations of a plane, normal vector, parallel planes, vector-valued function, component function, space curve
Feb. 9 14.2, 15.1 differentiation rules (pg. 862), functions of two variables, domain, range, graph
Feb. 11 Exam 1 no words!
Feb. 12 15.1, 15.2, 15.3 level curve, partial derivative with respect to x and with respect to y
Feb. 15 15.3 second partial derivatives, Clairaut's Theorem
Feb. 16 15.4, 15.5 tangent plane, linearization of f at (a,b), Chain Rule (Case I)
Feb. 18 15.5, Chain Rule (Case II and General Version)
Feb. 19 15.6 directional derivative, gradient, tangent plane to the level surface, recap 4.1 and 4.3 from Calc I, local maximum and minimum in 3D,
Feb. 22 15.7 critical point, saddle point, 2nd Derivative Test, Extreme Value Theorem,
Feb. 23 15.7 closed set, bounded set, absolute maximum, absolute minimum
Feb. 25 Exam 2 no words!
Feb. 26 15.8 Lagrange multiplier, method of Lagrange Multipliers
Mar. 1 8.1. 8.2 integration by parts, half-angle formulas and double angle formulas (Appendix D page A29), trig product identities (pg. 501)
Mar. 2 8.3 table of trig substitution (pg 503)
Mar. 4 8.4, 8.7 partial fractions, midpoint rule, trapezoid rule, Simpson's rule, review Riemann Sums from Calc I
Mar. 5 8.8, 16.1 improper integral of type I, improper integral of type II, double integral, double Riemann Sum

* Maple 2/8: Space Curves
   Maple 2/12: Partial Derivatives
   Maple 2/15: Limit Pictures
   Maple 2/22 & 2/23: Optimization Problems

Homework Assignments

Homework assignments are due on Gradescope at 9:50 AM Grinnell time on the date listed below. 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. Homework is turned in on Gradescope.

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

HW Due date Turn In Problems Additional Problems
# 1 Feb. 2 11.1: 6, 10, 16 11.1: 5, 7, 15
# 2 Feb. 4 11.1: 12, 22, 24
13.1: 6, 12
11.1: 11, 19, 21
13.1: 3, 5, 11, 13
# 3 Feb. 5 13.2: 16, 20, 22
13.3: 10
11.1: 28
13.2: 15, 19, 23
13.3: 9
# 4 Feb. 8 13.2 : 24
13.3: 8, 24, 38
13.4: 6
13.5: 4
13.3: 7, 14, 23, 37
13.4: 7, 8
13.5: 3, 11
# 5 Feb. 9 13.4: 20
13.5: 10, 20 24, 32, 44
13.3: 17, 25, 26
13.4: 15, 17, 18, 19
13.5: 13, 14, 19, 25, 29, 30, 31, 33, 37, 38, 43, 74
-- Feb. 11 No Homework Due: Exam Day
# 6 Feb. 12 14.1: 20, 22, 24, 42
14.2: 10
15.1: 30
14.1: 19, 21, 23, 41
14.2: 11
# 7 Feb. 15 15.1: 32, 34, 40, 56, 58, 60
15.3: 6
15.1: 35, 37, 39, 41, 42, 45, 55, 57, 59
15.3: 5
#8 Feb. 16 15.3: 18, 22, 24, 32, 40, 80 15.3: 9, 11, 19, 25, 33, 39
#9 Feb. 18 15.3: 8, 30, 36, 54
15.4: 4, 12 (just linearization)
15.3: 7, 27, 31, 35, 36, 51, 53, 59
15.4: 5, 13 (just linearization)
#10 Feb. 19 15.3: 56
15.4: 20 (you do not need to do the graphing part)
15.5: 2, 8, 10, 22
15.3: 53
15.4: 7, 15 (just the linearization), 21
15.5: 5, 7, 11, 12, 13, 25, 36
#11 Feb. 22 15.5: 26
15.6: 8, 10, 20, 22, 38
15.4: 22
15.5: 23, 43
15.6: 7, 9, 15, 23
#12 Feb. 23 15.6: 26, 32
15.7: 4, 8, 10, 16
15.6: 25, 29, 30, 31 33, 34
15.7: 3, 5, 7, 15, 17
-- Feb. 25 No Homework Due: Exam Day
#13 Feb. 26 15.7: 12, 42, 48
5.5: 8, 18, 26, 48
15.7: 11, 17, 18, 45
5.5: 37
#14 Mar. 1 15.7: 30
15.8: 4, 6, 30
7.6: 62, 66, 70
15.7: 29, 31, 32
15.8: 3, 5
#15 Mar. 2 15.7: 34
15.8: 8, 12, 34
8.1: 8, 12
8.2: 4
15.7: 33, 51
15.8: 7, 9, 10 11, 27, 31, 33
8.1: 9, 11
8.2: 3

Quiz Topics

Quizzes will be posted on Gradescope at 9 AM Grinnell time on the day listed under "Posting Date". They are due by 9 PM Grinnell time on the day listed under "Due Date" (36 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 Feb. 4 Feb. 5 11.1
# 2 Feb. 8 Feb. 9 13.1-13.3
# 3 Feb. 15 Feb. 16 14.1, 15.1
# 4 Feb. 18 Feb. 19 15.1, 15.3
# 5 Feb. 22 Feb. 23 15.4-15.6
# 6 Mar. 1 Mar. 2 5.5, 15.7
# 7 Mar. 4 Mar. 5 15.6,8.1-8.2

Exam Reviews

Exam 1 Information & Review               Solutions
Exam 2 Information & Review               Solutions