Math 113, Section 8: Calculus I (Fall 2018)

4:30pm - 6:20pm, Tuesday/Thursday


Instructor: Daniel M. Anderson (4411 Exploratory Hall, 703.993.1482, danders1@gmu.edu)
Office Hours: Tuesday 6:30PM-7:30PM, Thursday 1:30PM-2:30PM, and by appointment.

Text: Thomas Calculus: Early Transcendentals, 14th Edition, by Hass, Heil, and Weir.

Prerequisites: Sufficient recall of algebra and trigonometry and successful completion of Math Placement Test, or a grade of C or better in MATH 105.

Course Goals: To understand and be able to make use of the concepts of limits, derivatives and integrals of functions (e.g. polynomial, rational, exponential, logarithmic, trigonometric) and to understand the relationships between limits, derivatives and integrals.

Mason Core: This course satisfies the requirements of the Mason Core Quantitative Reasoning Category. The associated learning outcomes are for the students to be able to (1) interpret quantitative information and draw inferences from this information, (2) formulate quantitative problems and solve them using appropriate methods, (3) evaluate logical arguments, and (4) communicate and present quantitative results effectively.

Exams: There will be two midterm exams. Midterm exam dates and topics listed below are tentative and will be confirmed in class. You are responsible for being aware of any such changes announced in class. Makeup exams will not be given. In the event that one exam is missed and (1) a valid, documented excuse is given in writing to the instructor at the time of the absence and (2) the student provides sufficient evidence to the instructor that he/she is keeping up with the topics in the course, the final exam score will count in place of the missed exam. The instructor will determine whether an excuse is valid (for example, a medical emergency would constitute a valid excuse but leaving early for vacation is not a valid excuse). Without a valid documented excuse given at the time of the exam, a missed exam will count as a zero. If more than one midterm exam is missed, that situation will be dealt with on an individual basis.

Ungraded Homework: Problem sets from the sections in the textbook will be assigned regularly. Although these will not be collected, success in this class depends strongly on completing and understanding these problems. Working together on ungraded homework is encouraged but each student is ultimately responsible for understanding the material.

Graded Homework: There will be three graded assignments that will require the use of the mathematical software package Mathematica. Specific instructions will follow.

Quizzes: There will be weekly quizzes with some exceptions as will be explained in class. These may include unannounced quizzes. No makeup quizzes will be given. Your two lowest quiz grades will be dropped.

Grading Policy:
Homework (Mathematica Assignments) = 10%
Quizzes = 20%
Midterm Exam Average = 45%
Final Exam = 25%

Your Midterm Exam Average will be calculated as the average of your best two grades of the two midterm exams and the final exam with the following exception: If you have an unexcused midterm exam, that exam score (or possibly scores if you have two unexcused midterm exams) will be used in the calculation of your Midterm Exam Average. Here are some examples: If your midterm exam scores were 70 and 80 and your final exam score was 90 then your Midterm Exam Average will be (80+90)/2 = 85. If your midterm exam scores were 88 and 92 and your final exam was 70, then your Midterm Exam Average will be 90. If you had an unexcused midterm exam 1 and had 100 on midterm 2 and 100 on your final exam, your Midterm Exam Average will be 50.

In general, 90%-100% = A, 80%-89% = B, 70%-79% = C, 60%-69% = D, below 60% = F. Plus and minus grades will be approximately 2 or 3 percentage points above or below these boundaries (e.g. 88% would correspond to a B+). I reserve the right to lower the curve, but will not raise the curve.

Topics Covered/Schedule
Chapter 1 (1.1-1.6): Functions; Exponentials; Logarithms; Trig Functions; Inverse Functions
Chapter 2 (2.1-2.6): Limit of a Function; Infinite Limits; Limits at Infinity; Continuous and Discontinuous Functions
EXAM 1 Chapters 1, 2 and part of 3 (Thursday, September 20)
Chapter 3 (3.1-3.11): Derivatives of Polynomials, Exponential, Trigonometric, Logarithmic Functions; Product Rule; Quotient Rule; Chain Rule; Implicit Differentiation; Rates of Change; Related Rates
Chapter 4 (4.1-4.8): Maxima and Minima; Optimization; Mean Value Theorem; Derivatives and Graphs; L'Hopital's Rule; Indeterminate Forms; Newton's Method, Antiderivatives
EXAM 2 Chapters 3-4 (through 4.4) (Thursday, November 1)
Chapter 5 : Area and Distance; Definite Integral; Indefinite Integral; Fundamental Theorem of Calculus; Substitution
FINAL EXAM Chapters 1-5 (Date to be determined)

Final Exam: The final exam will be an in-class exam and must be taken at the scheduled time. Exceptions are allowed only with a Dean's permission, by University rules.

MyMathLab: We will be making use of online software associated with the textbook. Access to this software is at an additional cost above the textbook cost and so is not required. However, those that do purchase this will have access to online practice homework, quizzes and exams. Further details will be provided. To access the materials associated with this course see [MyMathLab Access Information]

Recitation: There is a recitation section with this course run by a graduate teaching assistant, offered at three different times each week. Quizzes may be given periodically during the recitation. You should be signed up for and plan to attend one of these each week.

Calculators/Phones/Etc.: Calculators will be treated as devices to assist in {\it learning and understanding} calculus but not as a replacement for knowing and remembering calculus and basic arithmetic. No calculators will be allowed for use on either quizzes or exams. The term `calculators' here refers to any device such as standard scientific and graphing calculators but also smartphones, ipads, laptops, etc. No such devices will be allowed on your table/desk while taking quizzes and exams. Plan to turn off and put away all mobile electronic devices during quizzes and exams -- accessing these devices between the time you receive your exam and the time you turn in your exam constitutes an honor code violation.

Honor System: THIS IS IMPORTANT. PAY ATTENTION TO THIS. It is expected that each student in this class will conduct himself or herself within the guidelines of the Honor Code. All academic work should be done with the level of honesty and integrity that this University demands. Anyone caught cheating during a quiz, exam or on any other material submitted for grade will be sent to the University Honor Committee for formal resolution to the situation.The use of cell phones and other electronic communication devices for any purpose during a quiz or an exam will be considered an honor code violation. The most likely recommendation given by the professor to the Honor Committee is failure of the class (not just the specific quiz, exam, etc.) if the student is found guilty of violating the Honor Code.


General Information for using computers at GMU [including setting up Mason account]


Mathematica Assignments Mathematica is available for use by students in the various computer labs on campus (e.g. JC labs). Additionally, if you would like to have Mathematica on your personal computer follow these instructions .
Mathematica Demo from class: [Mathematica Demo Notebook]
Mathematica 1: (due: Thursday, October 11, 2018) [Assignment 1 (PDF)]
Mathematica 2: (due: Tuesday, November 20, 2018) [Assignment 2 (PDF)]


Recitation/Quizzes: NOTE: These will be given during the recitation. The dates listed here are subject to change throughout the semester. Stay tuned here and in class for updates.
Recitation: Ch. 1 Stuff (Mon. 8/27)
Recitation: Labor Day (Mon. 9/3)
Recitation: (QUIZ 1) Topics: 1.1-1.6, 2.1, 2.2, 2.4 (Mon. 9/10) [Quiz 1 Solutions (4:30)] [Quiz 1 Solutions (5:25)] [Quiz 1 Solutions (6:20)]
Recitation: (QUIZ 2) Topics: 2.4,2.5,2.6 (Mon. 9/17) [Quiz 2 Solutions (4:30)] [Quiz 2 Solutions (5:25)] [Quiz 2 Solutions (6:20)]
Recitation: Topics: Ch. 3 (Mon. 9/24)
Recitation: (QUIZ 3) Topics: 3.1,3.2,3.3 (Mon. 10/1) [Take-home Quiz 3 - Due, Thursday, October 4 in class (4:30pm) ] [Quiz 3 Solutions (4:30)] [Quiz 3 Solutions (5:25)] [Quiz 3 Solutions (6:20)]
Recitation: (QUIZ 4) Topics: 3.3,3.4,3.5,3.6 (TUESDAY 10/9) [Quiz 4 Solutions (4:30)] [Quiz 4 Solutions (5:25)] [Quiz 4 Solutions (6:20)]
Recitation: (QUIZ 5) Topics: 3.6,3.7 (Mon. 10/15) [Quiz 5 Solutions (4:30)] [Quiz 5 Solutions (5:25)] [Quiz 5 Solutions (6:20)]
Recitation: (QUIZ 6) Topics: 3.7,3.8,3.9,3.10 (Mon. 10/22) [Quiz 6 Solutions (4:30)] [Quiz 6 Solutions (5:25)] [Quiz 6 Solutions (6:20)]
Recitation: (QUIZ 7) Topics: 3.11,4.1,4.2 (Mon. 10/29) [Quiz 7 Solutions (4:30)] [Quiz 7 Solutions (5:25)] [Quiz 7 Solutions (6:20)]
Recitation: Topics: TBA (Mon. 11/5)
Recitation: (QUIZ 8) Topics: 4.4,4.5 (Mon. 11/12) [Quiz 8 Solutions (4:30)] [Quiz 8 Solutions (5:25)] [Quiz 8 Solutions (6:20)]
Recitation: (QUIZ 9) Topics: TBA (Mon. 11/19)
Recitation: Topics: Survey Part 2 (Mon. 11/26)
Recitation: (QUIZ 10) Topics: TBA (Mon. 12/3)

Lecture Topics: (section numbers based on Thomas Calculus: Early Transcendentals, 14th Edition)
Tuesday, August 28: Ch. 1 and Big Picture [Lecture Notes]
Thursday, August 30: Ch. 1, 2.1 [Lecture Notes]
Tuesday, September 4: 2.2, 2.4 [Lecture Notes]
Thursday, September 6: 2.3,2.4,2.5 [Lecture Notes]
Tuesday, September 11: 2.5,2.6 [Lecture Notes]
Thursday, September 13: 2.6 [Lecture Notes]
Tuesday, September 18: 3.1,3.2 [Lecture Notes]
Thursday, September 20: EXAM 1 (Ch 1, Ch 2, 3.1,3.2)
Tuesday, September 25: Mathematica Demo, 3.2,3.3 [Lecture Notes]
Thursday, September 27: 3.3 [Lecture Notes]
Tuesday, October 2: 3.4,3.5 [Lecture Notes]
Thursday, October 4: 3.4,3.6 [Lecture Notes]
Tuesday, October 9: Fall Break (Monday classes meet Tuesday, No Tuesday Classes)
Thursday, October 11: 3.6,3.7 [Lecture Notes]
Tuesday, October 16: 3.8,3.9 [Lecture Notes]
Thursday, October 18: 3.10 [Lecture Notes]
Tuesday, October 23: 3.11,4.1 [Lecture Notes]
Thursday, October 25: 4.1,4.2,4.3 [Lecture Notes]
Tuesday, October 30: 4.3,4.4 [Lecture Notes]
Thursday, November 1: EXAM 2 (Ch 3 (all sections) - Ch 4 (sections 4.1-4.4))
Tuesday, November 6: 4.4,4.5 [Lecture Notes]
Thursday, November 8: 4.5,4.6 [Lecture Notes]
Tuesday, November 13: 4.7,4.8 [Lecture Notes]
Thursday, November 15: 5.1
Tuesday, November 20: 5.1
Thursday, November 22: THANKSGIVING
Tuesday, November 27: 5.2
Thursday, November 29: 5.3
Tuesday, December 4: 5.4
Thursday, December 6: 5.5,5.6
FINAL EXAM: Date and Time To Be Determined


Suggested Homework Problems (14th Edition of Thomas Calculus, Early Transcendentals)
(1.1): 1-10,13,15-22,23,25,28,29,37-40,47-50,69,70,76
(1.2): 1-8,11,15,16,17,18,23,24,25,26,37-40,49,52,59-62,69,71,73
(1.3): 13-16,31,32,35-38,55
(1.4): 1,2,17,19,25,27,29
(1.5): 1,2,3,5,7,9,10,11-20,21-24
(1.6): 1-6,7,8,11-14,19,21,29,31,41,49,51,55,69,73
(2.1): 1,2,4,5,7,9,25
(2.2): 1-4,7,8,11,13,21,23-26,31,35,37,43-46
(2.3): 1,2,7,8,15,16,31,32
(2.4): 1-4,6,7,13,14,15,16,23,25,27
(2.5): 1-10,13,15,17,33,34,48,49,50,55,56
(2.6): 1-8,9,10,13,15,17,19,21,23,25,35,37-44,49,50,63,64,65,67,75,76
(3.1): 1,2,5,9,11,17,23
(3.2): 2,3,9,13,27-31,35,45,47,49
(3.3): 1-17(odd), 21,23,31,34,35,41,43,53,54,76,77,79
(3.4): 1,2,7,12,13,17,32
(3.5): 1-8,17,23,24,35,38
(3.6): 1-21(odd),25,31,35,43,45,49,59,69,75,77,81,87,89
(3.7): 1-12,33,34
(3.8): 1-4,11-21(odd),41,43,47,67-77(odd)
(3.9): 1,3,5,9,11,13-16,21-24,33,34
(3.10): 1-6,13,14,27,33,39
(3.11): 1-3,7-10,17,19,20,39,41
(4.1): 1-6,11-14,15,17,18,21-31(odd),45,47,49,65
(4.2): 1-6,9,14,17,52
(4.3): 1-7(odd),15,16,19-35(odd),67,68,71
(4.4): 1,3,5,7,9-23(odd),41,43,45,59,61,63,81,83,85,87,89,109,110,111,112
(4.5): 1-6,7,9,11,13,15,17,19,35,41,75,76
(4.6): 1,2,9,10,15,44,64
(4.7): 1,3,10,11
(4.8): 1-23(odd),25-53(odd),91-99(odd),115-118
(5.1): 1-8
(5.2): 1-15(odd),19,21,23,25,29
(5.3): 1-7(odd),9,15,17,19
(5.4): 1-13(odd),35-38,39,41,43,57,59,61
(5.5): 1-7
(5.6): 1-13(odd),49,51
Math 113 - Spring 2018 - Lecture Notes
The following are lecture notes from Math 113 from Spring 2018. These notes cover much the same material we shall cover in this course. The section numbers listed are based on a book by Briggs, Cochran, and Gillett -- they match approximately but not exactly the section numbers from our present textbook. These notes are posted as an additional resource for you but do not count on these to exactly match the topics and/or organization of our course.
[Lecture Notes 1.1, 1.2, 1.3, 1.4]
[Lecture Notes 1.3, 1.4, 2.1]
[Lecture Notes 2.1, 2.2]
[Lecture Notes 2.3, 2.4]
[Lecture Notes 2.4, 2.5]
[Lecture Notes 2.6, 2.7]
[Lecture Notes 2.6, 2.7, 3.1]
[Lecture Notes 3.1, 3.2]
[Lecture Notes 3.3, 3.4]
[Lecture Notes 3.5, 3.6]
[Lecture Notes 3.5, 3.6]
[Lecture Notes 3.7]
[Lecture Notes 3.7, 3.8]
[Lecture Notes 3.8, 3.9]
[Lecture Notes 3.10, 3.11]
[Lecture Notes 3.11, 4.1]
[Lecture Notes 4.1, 4.2, 4.3]
[Lecture Notes 4.2, 4.3]
[Lecture Notes 4.3, 4.4]
[Lecture Notes 4.4, 4.5]
[Lecture Notes 4.6, 4.7]
[Lecture Note 4.9, 5.1]
[Lecture Notes 5.2, 5.3]
[Lecture Notes 5.4, 5.5]

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