MTH 236  Calculus IV Semester 082 

Calendar for Assignments, Quizzes, and Tests

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Note on Reading

Read assigned material before the class when it is to be discussed.  Focus on understanding and learning concepts.  Do not make the mistake of skipping the reading material before attempting homework assignments! 

Note on Homework

Write out complete answers NEATLY and CLEARLY. You must show your work! Partial credit is given when work is shown even if answer is incorrect. Start homework early and see me for help with problems you don't know how to work! My office is Core 257-- See my schedule for office hours or call or send email for an appointment. I am always delighted to help.

Date

Exams

Reading Assignment -- Complete by date given

Homework Due -- turn in at beginning of class on date given ( May be revised – check for updates) – See Problem List below

Wed.
01/7

 

Section 12.1:  Vector-Valued Functions   

 

Fri. 
01/09

 

Section 12.2:  Differentiation and Integration of Vector-Valued Functions

Exercise Set 1:  Section 12.1

Mon.
01/12

 

 

 

Wed.
01/14

 

Section 12.3:  Velocity and Acceleration

Exercise Set 2:  Section 12.2

Fri.
01/16

 

 

 

Mon
01/19

 

Section 12.4:  Tangent Vectors and Normal Vectors

Exercise Set 3:  Section 12.3

Wed
01/21

 

 

 

Fri.
01/23

 

Section 12.5:  Arc Length and Curvature

 

Mon
01/26

 

 

Exercise Set 4:  Section 12.4

Wed
01/28

 

Section 13.1  Functions of Several Variables


Exercise Set 5:  Section 12.5

Fri
12/30

 

Section 13.2:  Limits and Continuity

 

Mon
02/02

 

 

Exercise Set 6:  Section 13.1

Wed
02/04

Exam 1

Review Guide

Partial Answer Key

 

Exercise Set 7:  Section 13.2

Fri
02/06

 

Section 13. 3:  Partial Derivatives

 

Mon
02/09

 

Section 13.4:  Differentials

 

Wed
02/11

 

 

Exercise Set 8:  Section 13.3

Fri
02/13

 

 Section 13.5:  Chain Rules for Functions of Several Variables

Exercise Set 9:  Section 13.4

Mon.
02/16

 

Section 13.6:  Directional Derivatives and Gradients

 

Wed.
02/18

 

 

 

Fri.
02/20

 

 

Exercise Set 10:  Section 13.5

Mon.
02/23

 

Section 13.7:  Tangent Planes and Normal Lines

Exercise Set 11:  Section 13.6

Wed.
02/25

 

Section 13.8:  Extrema of Functions of Two Variables

 

Fri.
02/27

 

Section 13.9:  Applications of Extrema

Exercise Set 12:  Section 13.7

Mon 3/02 -Fri. 3/06

 

 

 

SPRING BREAK -- NO CLASS

 

 

 

 

 

Mon.
03/09

 

 

Exercise Set 13:  Section 13.8

Wed.
03/11

Exam 2

 

 

Fri.
03/13

 

Section 13.10:  Lagrange Multipliers

 

Mon.

03/16

 

 

Exercise Set 14:  Section 13.9

Wed.

03/18

 

Section 14.1:  Iterated Integrals and Area in the Plane

Exercise Set 15:  Section 13.10

Fri.

03/20

 

 

Exercise Set 16:  Section 14.1

Mon.

03/23

 

Section 14.2:  Double Integrals and Volume

 

Wed.

03/25

 

 

Exercise Set 17:  Section 14.2

Fri.

03/27

 

Section 14.3:  Change of Variables:  Polar Coordinates

 

Mon.

03/30

 

 

 

Wed.

04/01

 

Section 14.4:  Center of Mass and Moments of Inertia

Exercise Set 18:  Section 14.3

Fri.

04/03

 

 

 

Mon.

04/06

 

 Section 14.5: Surface Area

Exercise Set 19:  Section 14.4

Wed.

04/08

 

 

 

Fri.

04/10

 

GOOD FRIDAY – NO CLASS

 

Mon.

04/13

 

EASTER MONDAY – NO CLASS

 

Wed.

04/15

 

Section 14.6:  Triple Integrals and Applications

Exercise Set 20:  Section 14.5

Fri

04/17

Exam 3

 

 

Mon.

04/20

 

Section 14.7:  Triple integrals using cylindrical coordinates

Exercise Set 21:  Section 14.6

Wed.

04/22

 

 

Exercise Set 22:  Section 14.7

Fri.

04/24

 

Review Day

 

Mon.

04/27

 

Final Exam  -- 1:00 p.m. Comprehensive.

(may bring in 1 page both sides notes)

 

 

Problem List

 

Exercise Set 1

Section 12.1:  3, 4, 9, 14, 15, 17, 18, 19, 20, 25, 28, 32, 34, 46, 50, 61 (don’t sketch), 64 (don’t sketch), 70, 73, 75, 76

Exercise Set 2

Section 12.2:  1, 6,  9, 11, 14, 22,  30, 31, 47, 50, 53, 54, 58, 64, 68

Exercise Set 3

Section 12.3:  4, 5, 11, 12, 15, 21, 22, 27,  28, 33, 38

Exercise Set 4

Section 12.4:  2, 8, 9, 13, 14, 20 (Approx by evaluating the point on the tangent line at t = .1), 23, 30,  37, 40,  50, 55—use hint

Exercise Set 5

Section 12.5:  3, 6, 9, 12,  16, 25, 30, 38, 43, 48, 57

Exercise Set 6

Section 13.1: 2, 3,  6, 12, 16,  21, 24, 50, 51, 52,  79, 83, 88

Exercise Set 7

Section 13.2:  6, 8, 9, 10, 12, 17, 19,  20, 26, 27, 41, 50, 63, 64, 65, 66

Exercise Set 8

Section 13.3  5, 13,  22,  29,  30,  35, 38, 48, 54,  58, 62, 85, 97

Exercise Set 9

Section 13.4:  1, 6,  14,  18,  26,  30, 31, 36, 40

Exercise Set 10

Section 13.5  2, 3,  6,  10, 15, 22, 24, 27, 34, 4, 51, 52

Exercise Set 11

Section 13.6:  2, 4, 9, 14, 15, 20,  23, 24, 28, 35, 38, 58, 60, 63

Exercise Set 12

Section 13.7:  1, 2, 4, 7, 12, 16, 21, 34, 41, 44

Exercise Set 13

Section 13.8:  3, 4, 5, 10, 11, 14, 22, 26, 28, 33, 34, 46, 49, 53, 54, 60

Exercise Set 14

Section 13.9: 10, 13, 18, 21, 27

Exercise Set 15

Section 13.10:  2, 4, 7, 8,  11,  16, 18, 21, 32, 40, 41

Exercise Set 16

Section 14.1:  2, 8, 11,  18, 20, 24, 25, 33,  34, 42, 44, 52, 62, 53

Exercise Set 17

Section 14.2:  7, 12, 16, 19, 23,  27, 28, 33, 39, 40

Exercise Set 18

Section 14.3:  1, 2, 3, 4,  7, 8, 10, 13, 18, 19, 22, 24, 28, 31, 42

Exercise Set 19

Section 14.4:  3, 8, 17, 30, 34

Exercise Set 20

Section 14.5:  1, 4, 10, 16, 22, 30

Exercise Set 21

Section 14.6:  5, 8, 13, 16, 20, 23, 34

Exercise Set 22

Section 14.7:  4, 13, 16, 22, 33, 34