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Syllabus: Click here for details in a PDF file

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Course: Math 31, Calculus II, MWF 11:00am RHN12

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Texts: (1) Single Variable Essential Calculus: Early Transcendentals (2007) by Stewart

bullet Course Description: A continuation of Mathematics 30. Techniques and applications of integration; introduction to differential equations; improper integrals and indeterminate forms; infinite series and power series representation of a function. Applications to problems from the social and physical sciences. Prerequisite: Mathematics 30 or placement.
bullet Office Hours: MWF 10:00-11:00am @ Adams 206  and by appointment
bullet Grading: first midterm (Wed. Sept 28, 20%), second midterm (Fri. Nov. 11, 20%), final exam( Fri. Dec 16 9:00am, 30%), class participation (5%), and homework and quiz (25%). The letter grade will be with an approximately 90(A)-80(B)-70(C)-60(D) scale.
bullet  Policy: NO make-up exams without doctor's excuse. Late Homework will be no credit.
bullet Tentative Schedule: updated regularly

The HW problems need to be turned in. HW due every Wednesday in class. It includes all assignments given in the previous week (Mon, Wed, Fri). 

 

 

 

 

 

Monday Wednesday Friday
Aug 29 Aug 31 (Aug 30: Autumn Classes Begin)

Chapter 5: Integrals

5.1 Areas and Distances

HW 5.1: 3,5,7,9

 

Sept 2

5.2 The Definite Integral

HW 5.2: 6,16,20,25

Sept 5 (Labor Day, classes in session)

5.2 The Definite Integral

HW 5.2: 33,35

Sept 7

5.3 Evaluating Definite Integrals

HW 5.3: 13,16,19,56

Sept 9

5.4 The Fundamental Theorem of Calculus

HW 5.4: 6,12,18

quiz: 5.1-5.2


Sept 12 (Last day to add)

5.5 The Substitution Rule

HW 5.5: 3,11,21,24,32,55,56

Sept 14

6.1 Integration by Parts

HW 6.1: 7,16,28,31

 

 

Sept 16

Class will be rescheduled due to the speech in Brown University

Sept 19

6.1 Integration by Parts

6.2 Trigonometric Integrals and Substitutions

HW6.2: 3,8,15,35

quiz: 5.3-5.5

 

Sept 21

6.2 Trigonometric Integrals and Substitutions

HW6.2: 37,52,67

Make up class on 6.2 Trigonometric Integrals and Substitutions

 

Sept 23

6.3 Partial Fractions

HW 6.3: 8, 11, 15

 

Spet 26

Review

 

Sept 28

First Exam: 5.1 - 6.2

Sept 30

6.3 Partial Fractions

HW 6.3: 24,34

6.4 Integration with Tables and Computer Algebra Systems

HW 6.4: 2,11

 

 

Oct 3

6.4 Integration with Tables and Computer Algebra Systems

HW 6.4: 18, 19

 

Oct 5

6.5 Approximate Integration

Oct 7

6.5 Approximate Integration

HW 6.5: 4,11,18,20

 

Oct 10

6.6 Improper Integrals

HW 6.6: 2, 7, 10, 13, 44

 

Oct 12

6.6 Improper Integrals

HW 6.6: 2, 7, 10, 13, 44

quiz: 6.3-6.5

Oct 14

6.6 Improper Integrals

HW 6.6: 32,35,36

Oct 17 & 18 (Fall Break)

 

Oct 19 (Note: Oct 20, last day to drop)

7.1 Areas Between Curves

HW 7.1: 1,4,6,12,28

7.2 Volume

 

Oct 21

7.2 Volume

HW 7.2: 4,6,26,30,41

Oct 24

quiz: 6.6-7.1

7.3 Volumes by Cylindrical Shells

HW 7.3: 5,6,14,19,29

Oct 26

7.3 Volumes by Cylindrical Shells

(Office hour rescheduled to 9am Thursday due to New Hire Safety Orientation)

Oct 28

7.4 Arc Length

HW 7.4: 1,2,8,19,25

 

Oct 31

7.4 Arc Length

HW 7.4: 27,28

9.2 Arc Length for parametric curves

HW 9.2: 37,41,44

quiz: 7.2-7.3

Nov 2

7.5 Applications to Physics and Engineering

HW 7.5: 1,6,10,18

 

Nov 4

7.5 Applications to Physics and Engineering


Nov 7

7.5 Applications to Physics and Engineering

HW 7.5: 26,30

 

Nov 9

7.5 Applications to Physics and Engineering

HW 7.5: 33,38

Review Section: Nov 10, 6:30pm-7:30pm, Adams Hall, Davidson

Nov 11

7.5 Applications to Physics and Engineering

HW 7.5: 49,50

Extra office hour: Nov 13, 10:00am-12:00pm

 

 

 


Nov 14

7.6 Differential Equations

HW 7.6: 2,10,21-24,29

Nov 16

Second Exam: 6.3 - 7.5 & 9.2

Nov 18

7.6 Differential Equations

HW: 36, 37

8.1: Sequence

HW 8.1: 6,7

 


Nov 21

8.1: Sequence

Nov 23

8.1: Sequence

HW 8.1: 9,12,35,36,38

8.2 Series

HW 8.2: 4,8,12,15,25,31

Nov 25 (Nov 24,25: Thanksgiving Recess)

 

 


Nov 28

8.2 Series

quiz: 7.5-7.6

Nov 30

8.3 The Integral and Comparison Tests

HW 8.3: 3,8,10,17,24

Dec 2

8.3 The Integral and Comparison Tests

8.4 Other Convergence Tests

HW 8.4: 2,4,10,19,20,23,33

Dec 5

8.4 Other Convergence Tests

Dec 7

8.4 Other Convergence Tests

Dec 9

Review

Dec 12

Final Exams Week

Dec 14

Final Exams Week

Dec 16

Final Exams Week

Final Exam : 9:00am

Dec 19


Dec 21 (Dec 22, grades due toRegistrar)


Dec 23