MATH 131 section 4 Homepage

Welcome, please note that the schedule and syllabus are linked just below.

Useful Materials and Links:

  • Advice for Final Exam
  • Course Syllabus
  • Course Schedule ( due dates for assignments and test dates )
  • New (Oct. 29, passed out in class on Oct 28) Required Homework List for Test 3-4
  • New (Oct. 5) Required Homework List for Test 2-3
  • Old Required Homework List for Test 1-2

  • Hopefully you already avoid worse offenses listed in the documents below... I don't feel strongly about all these things but if you do a large subset of them it can't hurt. I do think orderly writing can help encourage orderly thinking.
  • Advice on formatting homework
  • more advice on how to make your homework neat

  • old course materials: for supplemental study.
  • Precise Definition of limit notes, section 3.8 of my notes corresponds to 2.4 of Stewart. for supplemental study.
  • Java Applet to help visualize the formal proof idea epsilon controls the vertical, delta the horizontal.
  • old test 1 from NCSU: Ignore Problems 5a, 5b, 6, 7, 8 for now. Those items will be tested on our Test 2. We only cover up to section 3.1 on our test and I have not covered limits at infinity yet.
  • another old test 1 from NCSU: for supplemental study.
  • Solution of Homework Project I:
  • supplement on complex numbers: contains what I said in part on Wednesday 9-25-2008 and then some. These notes are not as rigorous as what I plan to do in class Thursday 9-26-2008. The class I originally offered these notes for did not have the pleasure of deriving the adding angles formulas. You guys in contrast have done the work which builds the foundation for the complex exponential.
  • supplement on complex exponential: I define the complex exponential function and derive a few simple properties. This is the more logically ordered version of what I describe in section 4.11. This justifies the use of the complex exponential to derive other identities.
  • old test 2 from NCSU: for supplemental study.
  • old test 2 from NCSU: keep in mind the test review 2 for our course is the best description of what's on our test 2 at LU Fall, 2008.
  • Chain Rules Problems to build skill: these would be good practice for the test. Try to do them w/o looking at the solution to start with.
  • Solution of Homework Project II:
  • Homework Project 3 solution
  • Homework Project 4 solution
  • "Practice Test 4" and solution
  • WARNING: the content of calculus I at NCSU is quite different. Our finals and tests will reflect our course.
  • old test 3 from NCSU: for supplemental study.
  • old test 4 from NCSU: for supplemental study.
  • old final exam from NCSU: for supplemental study.
  • old practice test 3 from NCSU: for supplemental study.
  • old test 3 from NCSU: for supplemental study.


  • Course Contact Information:

  • Instructor: Dr. James S. Cook
  • Office: Applied Science 105
  • Office Hours: M-T-W-R-F from 7:00 am-9:00 am and M-W-F from 2:45 pm-3:45 pm
  • Email: jcook4@liberty.edu
  • Office Phone: 434-582-2476
  • Lectures and tests are in B.R. Lakin School of Religion room 108
  • Lecture Times: M-W-F 4:05 pm - 4:55 pm, and T-R 3:35 pm - 4:50 pm


  • Test Solutions from this Semester:

  • Solution to Test 1
  • Solution to Test 2
  • Solution to Test 3
  • Solution to Test 4 includes part of both versions of the test)


  • Test Reviews:
    No RickRolls.
  • Test 1 Review from Blackboard (no answers)
  • Test 2 Review
  • Test 3 Review
  • Test 4 Review
  • Advice for Final Exam



  • Homework Quiz Solutions:

    Recall that Homework Quizzes 1,2,3 did not need solutions.
  • Homework Quiz 4 (1.2#2,6,9)
  • Homework Quiz 5 (1.3#2, 7.2#17, 7.6#11)
  • Homework Quiz 6 (2.2#14,26)
  • Homework Quiz 7 (2.3#10,61)
  • Homework Quiz 8 (2.4#15, 2.5#42)
  • Homework Quiz 9 (3.1#10, 3.1#14)
  • Homework 10 (3.2#3, 41 3.3#1,3,5,7,9,11,13,15,17,19)
  • Homework 11 (3.3#23, 25, 27, 35, 43, 49, 57)
  • Homework 12 (3.3#61, 71, 79, 83, 96)
  • Homework 13 (3.4#1,3,5,7,11,15)
  • Homework 14 (3.5#1,3,5,7,9,13,15,17,23,25)
  • Homework 15 (3.5#41,43,48,59,87-optional)
  • Homework 16 (3.6#5,7,13,23,45,53)
  • Homework 17 (7.2#31, 33, 37, 39, 43, 49)
  • Homework 18 (3.6#3, 7, 11, 13, 17, 25 )
  • Homework 19 (7.4#41, 43, 47, 49, 7.6#19, 29, 31)
  • Homework 20 (3.8#1, 15, 43 and 3.9#1, 11, 19)
  • Homework 21 (4.1#29, 31, 33, 35, 45, 72 and 4.2#1, 5, 11)
  • Homework 22 (4.3#7, 9, 11, 13, 29, 40, 53)
  • Homework 23 (4.7#5, 19, 21, 23, 43 and 7.6#47)
  • Homework 24 (4.5#9, 13, 42)
  • Homework 25 (4.4#3, 7, 9, 11, 19, 22, 25, 29)
  • Homework 26 (5.1#3, 15 and 5.2#21)
  • Homework 27 (4.9#1, 3, 5, 7, 9, 11, 13, 15, 17, 41, 45)
  • Homework 28 (5.3#15, 19, 21, 23, 25, 27)
  • Homework 29 (5.3#29, 31, 33, 37, 45, 69, 71, 73)
  • Homework 30 (5.5#1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29)
  • Homework 31 (5.5#35, 37, 39, 41, 43, 45, 47, 49)
  • Homework 32 (5.5#59, 63, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81)
  • Homework 33 (7.2d#73, 77, 79, 81)
  • Homework 34 (7.4c#69, 71, 73, 79)
  • Homework 35 (7.6d#63, 65, 69, 71)
  • Homework 36 (5.4#41, 48, 52, 55, 57, 67, 69, 71, 72)
  • Homework 37 (6.1#5, 7, 9, 11, 13, 19, 21, 29, 49)
  • Homework 38 (6.2#1, 3, 5, 7, 9, 49, 51, 53, 57, 65, 70)
  • Homework 39 (6.3#5, 7, 9, 11, 46)
  • Homework 40 (7.8#5, 11, 13, 15, 19, 21, 25, 27, 43)
  • Homework 41 (7.8#49, 55, 59, 63, 85, 93, 94)




  • Course Notes:

    Lectures often closely follow these notes. Obviously there is not time to say everything during class, I try to stick to the most important parts in lecture.

  • Chapter 1: Introduction
  • Chapter 2: Functions (Review)
  • Chapter 3: Limits
  • Chapter 4: Derivatives
  • Chapter 5: Applications of Derivatives and Limits at Infinity.
  • Chapter 5 notes page 85-101
  • Chapter 5 notes page 102-129
  • Chapter 6: Foundations of Integration
  • Chapter 7: Basic Integration and Applications
  • Chapter 8: L'Hopital's Rule
  • Additional Example 21 on U-substitution


  • Bonus Point Policy:

    Bonus points, unless announced otherwise, count towards some test which is not dropped. What is the name of the scientist pictured below ? It's worth a point on any test if you can tell me.

    hawkings

    It is also possible to earn bonus points by asking particularly good questions or suggesting corrections to errors in notes and materials on the course website. This does not include spelling or grammatical errors, those are provided for your amusement. Once I notify the class of the error you may no longer ask for that point. To start with check our page of known errors (errata page)


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