Math 113, Section 4: Calculus I (Spring 2018)

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

Instructor: Daniel M. Anderson (4411 Exploratory Hall, 703.993.1482,
Office Hours: Tuesday/Thursday 3:00PM-4:00PM, and by appointment.

Text: Calculus: Early Transcendentals, 2nd Edition, by Briggs and Cochran.

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.

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%
Two midterm exams = 45% (22.5% each)
Final Exam = 25%

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 (1.1-1.4): Functions; Exponentials; Logarithms; Trig Functions; Inverse Functions
Chapter 2 (2.1-2.7): Limit of a Function; Infinite Limits; Limits at Infinity; Continuous and Discontinuous Functions
EXAM 1 Chapters 1.1-1.4,2.1-2.6 (Thursday, February 15)
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 (4.1-4.9): Maxima and Minima; Optimization; Mean Value Theorem; Derivatives and Graphs; L'Hopital's Rule; Indeterminate Forms; Antiderivatives
EXAM 2 Chapters 3.1-3.11,4.1-4.4 (Tuesday, April 5)
Chapter 5 : Area and Distance; Definite Integral; Indefinite Integral; Fundamental Theorem of Calculus; Substitution
FINAL EXAM Chapters 1-5 (Thursday, May 15, 4:30-7:15pm)

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: Calculators will be treated as devices to assist in learning and understanding calculus but not as a replacement for knowing and remembering calculus. Therefore, 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. Do not plan to use these for keeping track of time during quizzes or exams.

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 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: March 8, 4:30pm) [Assignment 1 (PDF)]
Mathematica 2: (due: TBA)

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: Topics TBA (Wed. 1/24)
Recitation: (QUIZ 1) Topics: 1.1,1.2,1.3,1.4 (Wed. 1/31) [Quiz 1 Solutions (4:30)] [Quiz 1 Solutions (5:25)] [Quiz 1 Solutions (6:20)]
Recitation: (QUIZ 2) Topics: 2.1,2.2,2.3 (Wed. 2/7) [Quiz 1 Solutions (4:30)] [Quiz 1 Solutions (5:25)] [Quiz 1 Solutions (6:20)]
Recitation: (Wed. 2/14)
Recitation: (QUIZ 3) Topics: 2.6, 3.1 (Wed. 2/21)
Recitation: (QUIZ 4) Topics: TBA (Wed. 2/28)
Recitation: (QUIZ 5) Topics: TBA (Wed. 3/7)
Recitation: (QUIZ 6) Topics: TBA (Wed. 3/21)
Recitation: (QUIZ 7) Topics: TBA (Wed. 3/28)
Recitation: Topics: TBA (Wed. 4/4)
Recitation: (QUIZ 8) Topics: TBA (Wed. 4/11)
Recitation: (QUIZ 9) Topics: TBA (Wed. 4/18)
Recitation: (QUIZ 10) Topics: TBA (Wed. 4/25)
Recitation: (QUIZ 11) Topics TBA (Wed. 5/2)

Lecture Topics: (section numbers based on Briggs and Cochran: Early Transcendentals, 2nd Edition)
Tuesday, January 23: 1.1, 1.2, 1.3, 1.4
Thursday, January 25: 1.3, 1.4
Tuesday, January 30: 1.3,1.4,2.1
Thursday, February 1: 2.1, 2.2
Tuesday, February 6: 2.3,2.4
Thursday, February 8: 2.4,2.5
Tuesday, February 13: 2.6,2.7
Thursday, February 15: EXAM 1 (1.1-1.4, 2.1-2.6)
Tuesday, February 20: 2.6,2.7,3.1
Thursday, February 22: 3.1, 3.2
Tuesday, February 27: 3.3, 3.4
Thursday, March 1: 3.5, 3.6
Tuesday, March 6: 3.5, 3.6, 3.7
Thursday, March 8: 3.7
Tuesday, March 20: 3.8, 3.9
Thursday, March 22: 3.9, 3.10
Tuesday, March 27: 3.11, 4.1, 4.2
Thursday, March 29: 4.2, 4.3
Tuesday, April 3: 4.4,4.5
Thursday, April 5: EXAM 2 (3.1-3.11,4.1-4.4)
Tuesday, April 10: 4.5
Thursday, April 12: 4.6,4.7
Tuesday, April 17: 4.7, 4.9
Thursday, April 19: 5.1, 5.2
Tuesday, April 24: 5.3
Thursday, April 26: 5.4
Tuesday, May 1: 5.4,5.5
Thursday, May 3: 5.5
Thursday, May 15: FINAL EXAM: 4:30pm--7:15pm

Various class announcements will be posted here.

Suggested Homework Problems (listing for Second Edition of Briggs and Cochran, Early Transcendentals)
(1.1): 1-10,11,12,13,15,25,27,29,31,33,35,39,55,81
(1.2): 5-10,11,12,15,19,25,27,44,76
(1.3): 1-10,11,15,16,21,22, 26,29,31,33,35,39,40, 41--46, 53,55,72,79
(1.4): 1-14,15,16,17,47,48,49,57--60,92,93
(2.1): 1-6,7,11
(2.2): 1-6,7,10,23,28
(2.3): 1-10,11,17,21,23,25,27,36,39,45,46,55,68
(2.4): 1-6,7,10,15,17,19,21,23,25,31,33,44
(2.5): 1-8,9,11,13,15,17, 25,27,29,31,33,41,45,46,47,48,49,50,52--57,66
(2.6): 1-8,9,12,13,15,16,18,23,25,27,29,40,41,59,60,93
(2.7): 1-8,9,10,19,21,33
(3.1): 1-8,9,10,11,15,16,17,18,27,28,29,37,38,41,47,48
(3.2): 1-4,5,6,7,8,9,10,11,12,13,15,17,18,20
(3.3): 1-6,7,8,9,16,17,18,19,21,23,25,35,36,39,42,43,44,45,46,47,54,55,71
(3.4): 1-6,7,8,10,13,14,15,16,17,18,19,20,21,23,27,29,30,31,33,37,38,43,44,57,58,62,63,72
(3.5): 1-6,7,8,9,10,15,17,18,19,21,29,30,31,49,50,51,56,57,58,68,72
(3.6): 1-8,9,11,12,20,34
(3.7): 1-6,7,8,12,14,17,19,20,21,22,29,31,45,46,70,71
(3.8): 1-4,5,7,8,11,12,13,14,15,16,21,22,25,27,28,32,33,35,37,38,39,40
(3.9): 1-8,9,11,12,13,17,18,19,23,24,26,27,28,31,32,37,41,45,47,51,55,59,60
(3.10): 1-6,7-12,13,14,29,31,32,35,36,37,38
(3.11): 1-4,5,9,13,14,22,23,27
(4.1): 1-10,11,12,13,14,15,16,17,18,19,20,23,24,25,31,32,33,37,38,39,52,53
(4.2): 1-10,11,12,15,16,17,18,19,27,28,29,31,40,41,43,44,47,49,53,54,57,59,71,72,87,88
(4.3): 1-6,7,9,10,15,17
(4.4): 1-4,5,6,14,16,17,31
(4.5): 1-6,13,14,15
(4.6): 1-6,7,8,15,17,19,21,23,32,33,34
(4.7): 1-12,13,15,17,19,25,27,32,37,39,41,43,45,46,52,55,56,69,70,85,86,87
(4.9): 1-10,11-18,23-28,37,38,39,47,48,49,50,67,68,69,101,110,111
(5.1): 1-8,9,17,18,19,20,40,41,42,65
(5.2): 1-10,11,25,26,33-36,37,38,41,72,73
(5.3): 1-10,11,13,19,23,24,25,26,29-33,61--64,69
(5.4): 1-6,7,9,11,21,22
(5.5): 1-8,9-12,13-16,17,19,21,23,25,39-42,61
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