M 408C: Differential and Integral Calculus (Fall 2013)

• The final exam will be Monday, December 16, 2:00-5:00 pm in CPE 2.214, the usual classroom.
• The final exam is cumulative, but there will be a slight emphasis on the material covered since the second midterm exam.
• The final exam will have multiple choice and free response sections, just like the previous exams. The multiple choice will be worth 75% and the free response 25%.
• Hui Yu will hold office hours 3:30-5:00 pm on Wednesday Dec. 11 and Thursday Dec. 12.
• James Pascaleff will hold office hours 10:30-12:00 noon on Thursday Dec. 12 and Friday Dec. 13.

Lecture

TTh 2:00-3:30 pm in CPE 2.214

Instructor: Dr. James Pascaleff

Email: jpascaleff@math.utexas.edu
JP's Office: RLM 11.166
JP's Office hours: TW 10:30-12:00 noon

Discussion Session

MW 8:00-9:00 am in RLM 7.124 (unique 56145)
MW 2:00-3:00 pm in RLM 6.188 (unique 56150)
MW 4:00-5:00 pm in WRW 113 (unique 56155)

Teaching Assistant: Hui Yu

Email: hyu@math.utexas.edu
HY's Office: RLM 9.116
HY's Office hours: M 9:00-10:00 am, W 9:00-10:00 am and 3:00-4:00 pm

Textbook

Calculus: Early Transcendentals, 7th Edition by James Stewart.

Prerequisite

A sufficient score on the ALEKS placement exam.

Homework

Homework assignments will be due on Thursdays. The Quest system will be used to assign and submit the graded homework. In addition, some ungraded exercises will be assigned from other sources.

Midterm Exams

Tuesday, October 1 (usual time and room)
Thursday, October 31 (usual time and room)

Final Exam

Monday, December 16, 2:00-5:00 pm in CPE 2.214 (the usual classroom)

Grade Weights

Optionally, one midterm exam score may be dropped and replaced with the final exam score.

Homework (lowest 2 dropped)	15%
Midterm Exam 1	25%
Midterm Exam 2	25%
Final Exam	35%

Grade Scale (where x is your score)

A	93 ≤ x < ∞
A-	90 ≤ x < 93
B+	87 ≤ x < 90
B	83 ≤ x < 87
B-	80 ≤ x < 83
C+	77 ≤ x < 80
C	73 ≤ x < 77
C-	70 ≤ x < 73
D+	67 ≤ x < 70
D	63 ≤ x < 67
D-	60 ≤ x < 63
F	-∞ < x < 60

M408C is the standard first-semester calculus course. It is directed at students in the natural sciences and engineering. The emphasis in this course is on problem solving, not the theory of analysis.

The syllabus for M408C includes most of the basic topics in the theory of functions of a real variable: algebraic, trigonometric, logarithmic and exponential functions and their limits, continuity, derivatives, maxima and minima, integration, area under a curve, volumes of revolution, and techniques of integration.

We will cover chapters 1 though 7, in order. As the semester progresses, changes may be made to this schedule. The section numbers refer to Stewart's book. The notes from the lectures are also posted here, as are the ungraded homework problems. The graded homework problems are posted on Quest.

Here are some solutions to the ungraded homework: Solutions for lectures 1-8, Solutions for lectures 9-16, Solutions for lectures 17-25.

In this course, the homework is very important for several reasons. First, because it counts as 15% of your grade (if you don't do the homework then the highest grade you can receive is a B). Second, working through homework problems is very effective way learn the material. Even if you read the textbook and attend the lectures, and they seem to make sense, you can't really be sure you understand the material until you understand how to use it to solve problems.

The two midterm exams will be given in class, at the usual time and location. All of the exams are cumulative.

The final exam will be offerd at a special date, time, and place determined by the University Registrar.

• You can look at your grades on Quest.
• Homework contributes 15% to the final grade. The two lowest homework scores are dropped.
• The basic formula for the exams is that each midterm exam contributes 25%, and the final exam contributes 35%. An important exception is that one midterm score may be dropped and replaced with the final exam score. Thus, if your final score is lower than both of your midterm scores, the formula will be

  Midterm Exam 1 = 25%

  Midterm Exam 2 = 25%

  Final Exam = 35%

  But, if your final exam score is higher than either of your midterm scores, the formula will be

  Your higher midterm exam score = 25%

  Your lower midterm exam score = 0%

  Final Exam = 60%

  The instructor will apply this rule automatically to maximize each student's final grade, so students do not need to ask for an exam to be replaced.
• Attendance, in and of itself, does not contribute to the final grade.
• At the discretion of the instructor, the exam scores may be curved to bring them into alignment with following grade scale, which will also be used to assign the final grades.

The teaching assistant will lead discussion sessions on Monday and Wednesday. During these sessions, there will be time to ask questions about the material and homework problems. This will also be a time to practice problem solving by working on problems not in the homework. These problems may be more challenging than the homework problems, and they are intended to stimulate discussion between the students and the TA.

• The primary textbook is Calculus: Early Transcendentals, 7th Edition by James Stewart. This is a good book, and you should read it. This does not mean that it is "easy" to read. Mathematics books in general are quite demanding on the reader, owing to the intrinsic difficulty of the material, so do not be surprised if you have to go slowly.
• If you would like other calculus books, there are many that have been written over the past 350 years, most famously
  • Isaac Newton, Philosophiæ Naturalis Principia Mathematica [Mathematical Principles of Natural Philosophy], Royal Society, London, 1687.
  • Gottfried Wilhelm Leibniz, Nova methodus pro maximis et minimis [New method for maximums and minimums], Acta Eruditorum 3 (1684), 467-473.

  In terms of recent accounts, you can look at

  • Tom Apostol, Calculus, vol. 1, 2nd ed., Wiley, 1991.
  • Michael Spivak, Calculus, 4th ed., Publish or Perish, 2008.

  These books have, in comparison to Stewart, more of an emphasis on developing the reasoning that underlies the methods of calculus. A concise treatment of calculus is included in Chapters 6, 7, 8 of

  • Richard Courant, Herbert Robbins and Ian Stewart, What is Mathematics?, Oxford University Press, 1996.

  which contains many other extremely interesting topics. A rich source of worked problems that has been used for decades is

  • Frank Ayres and Elliott Mendelson, Schaum's Outline of Calculus, 6th ed., McGraw-Hill, 2012.

  In another part of the landscape, we have

  • Larry Gonick, The Cartoon Guide to Calculus, William Morrow Paperbacks, 2011.
  • Mark Ryan, Calculus for Dummies, For Dummies Press, 2003.

  If these books work for you, by all means use them, but beware that the trickier points are likely to be omitted from these treatments.

• There are several sets of freely available online videos covering some of the material in this course. For example, MIT OpenCourseWare has a course known as 18.01. Besides that, there are many other resources online, so Google is your friend here.
• There is an undergraduate computer lab in RLM 7.122, and it is open to all students enrolled in Math courses. Students can sign up for an individual account themselves in the computer lab using their UT EID. These computers have most of the mainstream commercial math software: mathematica, maple, matlab, magma, and an asortment of open source programs.

• 12th class day: Friday, September 13
• Q-drop deadline: Tuesday, November 5
• If you drop a class on or before September 13, the class will not show up on your transcript. If you drop a class after that date, the course will show up on the transcript with a grade of "Q". After November 5, it is not possible to drop a course except for extenuating (usually non-academic) circumstances.

In accordance with UT Austin policy, please notify the instructor at least 14 days prior to the date of observance of a religious holiday. If you cannot complete a homework assignment in order to observe a religious holiday, you will be excused from the assignment. If the holiday conflicts with an exam, you will be allowed to write a make-up exam within a reasonable time.

Students with disabilities may request appropriate academic accommodations from the Division of Diversity and Community Engagement, Services for Students with Disabilities at 471-6259 (voice), 232-2937 (video), or http://www.utexas.edu/diversity/ddce/ssd.

Read the University's standard on academic integrity found on the Student Judicial Services website.