Elementary Calculus with Trig II: Math 2015, Spring 2007, CRN # 15501

T R 9:30 - 10:45 am, Nor 207

Mahboub Baccouch

PhD Candidate in the Mathematics Department at Virginia Tech

Welcome to Math 2015 (Integration for Life Sciences): Math 2015 is a 3-credit calculus course. Topics of study include numerical integration and integral calculus with applications. Continuation of Math 1015-1016. 2015: Trigonometric calculus, indefinite integrals, definite integration, areas and volumes, multivariable differential calculus. 2015 partially duplicates 1206.

Text Box: Course Goals: Our objectives in this class include understanding antiderivatives, definite integrals, the Fundamental Theorem of Calc and elementary differential equations. The basic goal is to enable you to apply calculus methods to problems that may come up in your other courses and, eventually, in your field of specialization.

Text:  Third Edition by Hughes-Hallett, Gleason, Lock, Flath, et. al.

Resource Links:

Course Materials

Dates and assignments are subject to change, so check this page often.

Chapter 5: Accumulated Change: The Definite Integral

Date

Sections covered

Notes

Tu 16/1

First day of class!
sec.5.1 (p. 236-242)

Before class:

  • Read the syllabus and Course Contract.
  • Read section 5.1.
  • Bring section 5.1(or the book if you have it already).
  • Get a graphing calculator if you don't have one already. You’ll need a graphing calculator for this course, starting the very first day. Most of you already have one, but if you don’t, the TI-83 is sufficient (higher numbered models like the TI-86 or the TI-92 are overkill).

After class:

  • Get the textbook if you don't have it already.
  • Complete Homework 1 .

Lesson 1: Math_2015_lesson1(PDF)      Math_2015_lesson1(Power point)     

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Th 18/1

sec.5.2 and sec.5.3   (p. 242-253)

 

Here is the solution for HW1

Before class:

  • Read section 5.2 in the book

After class:

  • Complete Homework 1  ( p.240#1,5,10,11; p.246#2,4,14grh a only,17; p.253#3,8): Homework 1 will be collected next Tuesday (Tu 23/1) in your lecture class (at the beginning of class).

Answers to the odd-numbered problems are given in the back of the book so you can check your progress, but I expect to also see the steps that lead to those answers.

Lesson 2: Math_2015_lesson2(PDF)      Math_2015_lesson2(Power point)     

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Tu 23/1

Trap Simp

 

Before class:

  • Read section 5.3 in the book

Lesson 3: Math_2015_lesson3(PDF)      Math_2015_lesson3(Power point)     

·        Lab 1 is available from the Labs page of the homepage: Labs will be done in Excel and graded by quizzes, which will be available on Blackboard.
There is an online Excel reference available that covers topics used in 2015: Excel Reference

Labs should be worked in groups according to the Honor Code Policy of this class. Quizzes MUST be taken individually.

  • Lab 1: Right and Left Hand Sums and Trapezoidal Rule
    • The quiz over Lab 1 is due on Friday, February 2 and will be available on Blackboard January 25.
    • Instructions for Lab 1: 2015 Lab 1 (PDF)
    • Data file: Lab1Data.xls (Excel file)
    • Help site for Lab 1 (contains answers to practice problems, examples, a FAQ, and tutorials as needed.)
    • The lab quiz includes an essay question which must be graded by hand. So you will not receive your full quiz score upon completing the quiz. You will only receive the points which are possible from answering the multiple choice questions. Your grade will be updated at a later point to include points for the essay question. (When you look up your grade on Blackboard, it will indicate there are still questions that need to be graded if this is the case.) for TI-83

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Th 25/1

sec.5.3 and sec.5.4  

 

 

 

Here is the solution for HW2

Before class:

Lesson 4: Math_2015_lesson4(PDF)      Math_2015_lesson4(Power point)     

·        Lab 1 should now be started.

o       You may complete Lab 1 in small groups or individually. You must follow the Honor Policy for group work.

o       You can get the lab from the Labs page.

o       Additional information is available at this site as well.

·        The homework problems for the week are listed on your syllabus.

Complete Homework 2  (Numerical Supplement #2,3,4; p.253#1,19,20): Homework 2 will be collected Tuesday (Tu 30/1)  in your lecture class (at the beginning of class).

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Tu 30/1

And

Th 1/2

sec.5.5  

 

 

 

Here is the solution for HW3

 

Before class:

  • Read section 5.5 in the book

Lesson 5: Math_2015_lesson5(PDF)      Math_2015_lesson5(Power point)    

Lab 2 is available from the Labs page of the homepage.

  • Lab 2: Simpson's Rule
    • Instructions for Lab 2: 2015 Lab 2 (PDF).
    • Simpson Calculator Excel file: SimpsonCalc.xls (Excel file)
    • Help site for Lab 2 (contains answers to practice problems, examples, a FAQ, and tutorials as needed.)
    • The quiz for Lab 2 will be due on Friday, February 9 and will be available on Blackboard February 3.

·        The homework problems for the week are listed on your syllabus.

Complete Homework 3  (p.258#3,7,27,28; and p.264#10,13): Homework 3 will be collected Tuesday (Tu 6/2)  in your lecture class (at the beginning of class).

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Chapter 10:Mathematical Modeling using Differential Equations

Date

Sections covered

Notes

Tu 6/2

 

sec.10.1, 10.2 and 10.4, 

  • Read section 10.1, 10.2 and 10.4 in the book

Lesson 6: Math_2015_lesson6(PDF)      Math_2015_lesson6(Power point)    

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Th 8/2

 

sec.10.1, 10.2 and 10.4, 

Here is the solution for HW4
  • Read section 10.1, 10.2 and 10.4 in the book

Lesson 7: Math_2015_lesson7(PDF)      Math_2015_lesson7(Power point)    


Complete Homework 4  (p400#1,3,6,9; p.404#1,2,4,6;  p.416#3,5,6,16): Homework 4 will be collected Tuesday (Tu 13/2)  in your lecture class (at the beginning of class).            

  MATH 2015 take home quiz 1.  It is due at the beginning of class Tuesday Feb 13.                                                                                                                                                                                                                                                                    

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Tu 13/2

 

Review for Test 1

*      take home quiz 1.  It is due at the beginning of class Tuesday Feb 13.

*      Homework 4  (p400#1,3,6,9; p.404#1,2,4,6; p.416#3,5,6,16): It is due at the beginning of class Tuesday Feb 13.

*       Math_2015_Review Test 1(Power point)     

REVIEW SHEET Test1 and Derivative Formulas

Test1_Fall_2006  here is the solution

Practice 1 for Test I  here is the solution

Test1_Fall_2004  here is the solution

Practice 2 for Test I  here is the solution

Test1_Fall_2005              Test1_Spring_2006           Test1_Spring_2000     Test1_Spring_2001 

*      Test1_Spring_2007  here is the solution

Test 1 Information:  Test 1 Thursday, February 15, 2007 at 7 PM.

Key: Key to Test 1

Rooms for Tests

The following are not necessarily representative of what will be on the test, but they do provide practice in many of the topics you will be tested on.

·        Test 1 Review Sheet

·        Test 1 Practice Problems

·        Solutions to the practice problems

·        A few more practice problems

·        Solutions to the additional problems

·        Old Test

·        Solutions to Old Test                                                                                                                                                                                                                                                                                                                                                                                                                                                               

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Chapter 6: Using the Definite Integral

Date

Sections covered

Notes

Tu 20/2

 

sec.6.1, 

  • Read section 6.1  in the book

Lesson 8: Math_2015_lesson8(PDF)      Math_2015_lesson8(Power point)    

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Th 22/2

 

sec.6.4 

Here is the solution for HW5
  • Read section 6.4 in the book

Lesson 9: Math_2015_lesson9(PDF)      Math_2015_lesson9(Power point)    

Complete Homework 5  (p273#8-11; p278#1,3,6; p.292#2,3,4,6,17): Homework 5 will be collected Tuesday (Tu 27/2)  in your lecture class (at the beginning of class).

·        Lab 3 should now be started.

o       You may complete Lab 3 in small groups or individually. You must follow the Honor Policy for group work.

o       You can get the lab from the Labs page.

o       Additional information is available at this site as well.

o       Lab 3 Quiz will be available on Blackboard Friday, 2/23.

o       The quiz must be completed by Friday, 3/2 at midnight.

  • Lab 3: Euler's Method
    • Instructions for Lab 3: Lab 3 (PDF)
    • Help site for Lab 3 (contains answers to practice problems, examples, a FAQ, and tutorials as needed.)
    • The quiz for Lab 3 will be due on Friday, March 2 and will be available on Blackboard February 23.
      You will also need to turn in a written response to your instructor for problem 4 of the Lab by Friday, March 2 at 1:00 PM.

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Tu 27/2

 

sec.10.5 

 

Read section 10.5 in the book : Newton's Law of Cooling

  Lesson 10: Math_2015_lesson10(PDF)      Math_2015_lesson10(Power point)    

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Chapter 7: Antiderivatives

Date

Sections covered

Notes

Th 01/3

 

sec.7.1 

Here is the solution for HW6

Read section 7.1  in the book : Antiderivatives

 

  Lesson 11: Math_2015_lesson11(PDF)      Math_2015_lesson11(Power point)    

  Complete Homework 6  (p.424#1,2,5,11,12; p.303#2,4,10,14,18,19,22,30,32,45,50,58,64): Homework 6 will be collected Tuesday (Tu 13/3)  in your lecture class (at the beginning of class).

 

                                                                     HAVE A GOOD SPRING BREAK     

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Tu 13/3

 

sec.7.2 

 

Read section 7.2  in the book : Integrals by Substitution

 

  Lesson 12: Math_2015_lesson12(PDF)      Math_2015_lesson12(Power point)

 

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Th 15/3

 

sec.7.3 

Here is the solution for HW7

Read section 7.3  in the book : Definite Integrals: The Fundamental Theorem Again

  Lesson 13: Math_2015_lesson13(PDF)      Math_2015_lesson13(Power point)

 

Complete Homework 7  (p.308#1-4,7,12,14,20,28,38; p.312#1,2,4,6,11,14,16,18,21a,22,25,26): Homework 7 will be collected Tuesday (Tu 20/3)  in your lecture class (at the beginning of class).                                                                                                                                                                                                                                                  

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Tu 20/3

 

sec.7.3 

 

Read section 7.3  in the book : Improper Integrals

 

 

  Lesson 14: Math_2015_lesson14(PDF)      Math_2015_lesson14(Power point)

 

MATH 2015 take home quiz 2.  It is due at the beginning of class Tuesday March 27. 

                                                                                                                                                                                                                                                                                                                                                                                                                                                                       

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Th 22/3

 

sec.7.3 

Here is the solution for HW8

Read section 7.4  in the book : Analyzing Antiderivatives

Lesson 15: Math_2015_lesson15(PDF)      Math_2015_lesson15(Power point)

 

 Homework 8  (p.312#38,39,40; p.317#2,4,5,9,10,15,16,24-26):  I will not collect Homework 8.                                                                                                                                                                                                                                                                                                                                                                                                                                                                  

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Tu 27/3

and

Th 29/3

 

 

Review for Test 2

*      take home quiz 2.  It is due at the beginning of class Tuesday March 27. here is the solution

*      Homework 8  . No homework due next time.

Test 2 Information:  Test 2 Thursday, March 29, 2007 at 7 PM. Room McB 224

The following are not necessarily representative of what will be on the test, but they do provide practice in many of the topics you will be tested on.

Test 2 Practice Problems here is the solution

Test2_Fall_2004    here is the solution

Test2A_Spring_2005       Test2B_Spring_2005       here is the solution

Practice 2 for Test 2  here is the solution

 

More Practice Problems for Test 2

 

REVIEW SHEET Test 2               REVIEW INTEGRAL Test 2                   REVIEW Derivative Test 2

 

 

Antiderivative Practice 1    the solution is here   Antiderivative Practice 1: Solutions                                                                                                                                                                                                                                                               

Antiderivative Practice 2    the solution is here   Antiderivative Practice 2: Solutions

 

Supplement: a exponents with other bases

  Math_2015_Review Test 2(Power point)    

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Chapter : Volumes

Date

Sections covered

Notes

Tu 03/4

 

Lesson 16 

Read Lesson 16 : Volume of a Tree Trunk

 

  Lesson 16: Math_2015_lesson16(PDF)      Math_2015_lesson16(Power point)    

Test2_Spring_2007  here is the solution

                                                                    

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Th 05/4

 

Lesson 17

Read Lesson 17 : Volumes of Solids: Solids of Revolution

 

Lesson 17: Math_2015_lesson17(PDF)      Math_2015_lesson17(Power point)    

 

 

 Complete Homework 9  : Homework 9 will be collected Tuesday (Tu 10/4)  in your lecture class (at the beginning of class).

 

The homework problems listed for this week can be found on
Volume Worksheet I
Graphs for this worksheet.
Lab 4 Prep worksheet is available here. This will be assigned as added homework. It is also due Tu 10/4.

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Tu 10/4

 

Lesson 18 

Read Lesson 18 : Volumes: General Solids

 

 Lesson 18: Supplement: Solids of Revolution     Math_2015_lesson18(PDF)      Math_2015_lesson18(Power point)    

                                                                    

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Th 12/4

 

Lesson 19

 

Read Lesson 19 : Density Functions and Probability

Lesson 19: Math_2015_lesson19(PDF)     Math_2015_lesson19(Power point)      

 

Here is the solution for Lab 4 Prep

 

Complete Homework 10  

                  1-  The worksheet problems can be found here Volume Worksheet II

                  2- p.327#4,5,for 8&10a&b only

 

Homework 10 will be collected Tuesday (Tu 17/3)  in your lecture class (at the beginning of class)

 

 

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Tu 17/4

Th 19/4

 

 

Do NOT worry about Math class or the upcoming test.  Of course Lab 4 is not due. We'll figure that out later. We'll sort that out when you get back.

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Tu 24/4

 

Review for Test 3

·        For those who choose to take Test 3:

It will be given Tuesday, May 1 in your regular classroom.
The test will be open notes and notepack.
It will cover Volume only, Lessons 16, 17 and 18.
We will spend as much time reviewing in classes this week as you want.

·        See the Test page for Review Sheet, Practice Problems, Solutions and an Old Test.
Only review the questions about volume.

·        We are looking into another possible time for the final.
Details about the final will be available soon.

 

Test 3 Information

Test 3 Tuesday, May 1, 2007 in class.

The following are not necessarily representative of what will be on the test, but they do provide practice in many of the topics you will be tested on.
Only review the problems on Volume.

·        Test 3 Review Sheet

·        Test 3 Practice Problems

·        Solutions to Practice Problems

·        More Practice Problems

·        Solutions to More Practice

·        Old Test

·        Solutions to Old Test

 

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Th 26/4

 

Review for Test 3

                                                                                                                                                                                                                                      

Math_2015_Review Test 3(Power point)    

Volume Worksheet I  here is the solution   Volume Worksheet I Solution 

Volume Worksheet II here is the solution   Volume Worksheet II Solution 

·  This announcement is to make sure you all know what there is to know about 2015. Some of you have been unable to get to class but still are planning on completing the course.

·        For option 1: You take the tentative grade that has been assigned.

·        For option 2: You do extra work which can include Lab 4 and / or Test 3.

·        For option 3: You finish the course as we've defined it. That is, take Test 3 and the Final.

·  Test 3 and the Final will be open notes/book (except the review we did in class Th 26/4).

·  If you choose option 1, you don't need to do anything. If you choose option 2 or 3 we'll have forms at test 3 and the final for you to sign.

·  If you choose option 2, and want to complete Lab 4 and take the quiz, please let me know when you are ready to take Quiz 4. I will make the quiz available again.

·  Test 3: In your classroom Tuesday, May 1.

·  Final: You may take it one of two times:

·        a) Reading Day, Thursday, May 3 at 7 PM in McB 100.

·        or b) when it was originally scheduled, Wednesday, May 9 at 7:45 AM in McB 209, 210 or 218.

·  Review sheets and practice problems are available from the Tests Page for Test 3 and the Final.

·  Test 3 is similar in form to Tests 1 and 2. Lessons 16, 17 and 18 will be tested.

·  The Final is 20 multiple choice questions. No calculators are permitted. Lessons 1 through 18 may be tested.

·  Lessons 19, 20 and 21 will not be tested.

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·             Derivative Formulas
·             Trigonometry Functions
·             Review of Log & Exponential Properties and some Trig

 

Instructions for finding the definite integral of a function on a TI-82 calculator. (Also works for TI-83 and 84).

 

Honor Statement for Math 2015:

This section fully explains how the Honor Code of Virginia Tech applies to this course. If you have questions about this document or how the Honor Code applies, see me. My intentions are to make these guidelines clear for your protection, and to prevent misunderstandings.

The constitution of the Undergraduate Honor System explains your rights and responsibilities. All work that you submit for a grade while at Virginia Tech is bound by this constitution, regardless of whether or not it is pledged. The Honor Pledge is, “I have neither given nor received unauthorized assistance on this assignment.” The forms of authorized assistance are completely stated below; any other types of assistance are unauthorized.

  • Homework: You may use your book, your notes, or other books when preparing homework. You may discuss your solutions with other students, Emporium staff, tutors, Writing Center personnel, or me. (Discussion, however, is not the same as dictation!) You may not share written or electronic work with other students in any form. If I receive two submissions that clearly originated from the same source, I will submit those assignments to the Honor System without notice to you.
  • Tests/Final Exam: No assistance is authorized for tests or the Final Exam. The work you submit must be independently achieved without the use of a textbook, notes, or assistance from other people. I will announce the calculator policy for the final exam at a later date.

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Registration:

You must be registered for this course in order to receive a grade for it. I have no control over the registration process, but can answer questions.

Accommodations:

I really do want to make it possible for you to succeed. You are encouraged to bring to my attention any reasonable need or accommodation (including disability accommodations and religious holidays) that will help you.

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Ø  IMPORTANT DATES:

M

Jan. 15

MLK Day. Holiday. No classes.

T

Jan. 16

Last day for students to withdrawal from Spring Semester to avoid tuition and fee charges. Students must complete a withdrawal form at the University Registrar's Office, 250 Student Services Building if NOT attending spring semester. Call (540) 231-4921 for instructions if unable to visit the University Registrar's Office in person. Note: You may not drop your final hours via the web.

T

Jan. 16

Classes begin

M

Jan. 22

Last day for students to add classes and to add or drop audit option.

M

Feb. 26

Last day for students to drop Spring 2007 classes without grade penalty. Last day to change grade option from A-F to P/F, 5:00 p.m. If you are enrolled in only one course, you cannot drop your final hours, but must officially resign from the university for the semester. Your refund will be calculated according to the university refund policy on resignations.

F

Mar. 2

Last day to apply for Spring 2007 graduation in order to receive a diploma at the May Commencement.

Sa

Mar. 3

Spring Break begins.

Su

Mar. 11

Spring Break ends.

M

Mar. 19

Last day for students to resign without grade penalty. First and required contact for resignation is academic dean of undergraduate student's college or dean of the Graduate School. Submit completed resignation form to the University Registrar's office by 5:00 p.m. Last day to change grade option from P/F to A-F, 5:00 p.m.

T

Mar. 20

Opening of Web Course Request for Summer and Fall Semester 2007

T

Mar. 27

Close of Web Course Request for Summer and Fall Semester 2007

F

Apr. 13

Deadline for requesting rescheduling of final examinations that conflict or constitute a third exam in 24 hours. (See your Academic Dean)

M

Apr. 23

Web Drop/Add begins for Summer and Fall Semester 2007

W

Apr. 25

Tentative grades must be entered by 12:00 midnight

F

Apr. 27

Last day to apply for Course Withdrawal

W

May 2

Classes End

R

May 3

Reading Day

F

May 4

Beginning of Spring Semester 2007 final examinations. **Saturday Exams

W

May 9

Close of Spring Semester 2007 final examinations

F

May 11

University Commencement Ceremonies (Graduate and Undergraduate)
(Lower than tentative grades must be entered by 12:00 noon.)

Sa

May 12

Spring Commencement (College Ceremonies)

Questions or comments? Mahboub Baccouch

Revision Date: February 13, 2007