MATH 408C: Differential and Integral Calculus

Course Unique Numbers: 53550, 53555

General Information

Instructor: David Clark (clark@math.utexas.edu)

Lectures: Monday, Wednesday, Friday 1pm-1:50pm in ETC 2.108

Office hours: Monday 11am-noon, Wednesday noon-1pm, Friday 2pm-3pm, or by appointment; in room RLM 13.164 or by telephone 512-471-6410 (only during office hours).

Teaching Assistant: Hieu Nguyen (hhn325@utexas.edu).

Discussion Sections: Tuesday, Thursday 12:30pm-1:30pm in PAR 203 (53550). Tuesday, Thursday 5:00pm-6:00pm in CPE 2.212 (53555).

TA Office hours: Tuesday, Thursday 2pm-3pm, or by appointment; in room RLM 11.152

Text: Calculus, Early Transcendentals, 8th Ed., by Stewart, ISBN 9781305394063.

Final exam date: Thursday, December 13, 2:00pm-5:00pm, in MEZ 1.306.

Course webpage: http://www.ma.utexas.edu/users/clark/Courses/2018/Fall/408C/.

Course Description

This is the standard first-year calculus course. It is directed at students in engineering and the natural and social sciences. The emphasis in this course is on problem solving, not on the presentation of theory. Topics include trigonometric, logarithmic and exponential functions, limits, continuity, derivatives, maxima and minima, integration, volumes of revolution, techniques of integration.

This course carries the Quantitative Reasoning flag. Quantitative Reasoning courses are designed to equip you with the skills that are necessary for understanding the types of quantitative arguments you will regularly encounter in your adult and professional life. You should therefore expect a substantial portion of your grade to come from your use of quantitative skills to analyze real-world problems.

This course may be used to fulfill the mathematics component of the university core curriculum and addresses the following three core objectives established by the Texas Higher Education Coordinating Board: communication skills, critical thinking skills, and empirical and quantitative skills.

Prerequisites

The prerequisite is a sufficiently high score on the Aleks placement exam.

Grading for this Course

Homework: There will be homework assigned weekly and done online using the Quest system, located at https://quest.cns.utexas.edu/. The homework must be completed online by the date posted, typically about one week after it becomes available. Note that Quest will subtract points for wrong answers, so think carefully before you answer or you could end up with a negative score.

Exams: There will be three midterm exams, to be held during the usual class period, and a comprehensive final exam. The midterms are tentatively scheduled for September 24, October 24, and November 30. The final exam is scheduled for Thursday, December 13, 2:00pm-5:00pm, in MEZ 1.306. Please mark on your calendars now the time and date of the exams. Textbooks, notes, and electronic devices (including phones and calculators) are not permitted during exams.

Grading Scheme: The final grade will be the maximum determined under these two grade weighting schemes:
Activity Scheme 1 Scheme 2
Homework 20%
Midterm Exams 45%
Final Exam 35% 100%

Letter Grades

The grading convention, 90.00-100% A, 86.67-90.00% A-, 83.33-86.67% B+, 80-83.33% B, 76.67%-80.00% B-, 73.33-76.67% C+, 70.00-73.33% C, 66.67%-70.00% C-, 63.33-66.67% D+, 60.00-63.33% D,56.67%-60.00% D-, less than 56.67% F, will be followed. If for some reason there is a deviation from this scale it will be applied uniformly to the whole class. Changes to the scale will only make the scale more generous.

Resources

Quest: This course makes use of the web-based Quest content delivery and homework server system maintained by the College of Natural Sciences. This homework service will require a $30 charge per student per class for its use, with no student being charged more than $60 a semester. This goes toward the maintenance and operation of the resource. Please go to http://quest.cns.utexas.edu to log in to the Quest system for this class. After the 12th day of class, when you log into Quest you will be asked to pay via credit card on a secure payment site. Quest provides mandatory instructional material for this course, just as is your textbook, etc. For payment questions, email quest.billing@cns.utexas.edu.

CalcLab: The CalcLab is staffed by current mathematics graduate students (including your calculus TA), as well as advanced undergraduate Learning Assistants. It is located in RLM 8.136.

CalcLab webpage: http://www.ma.utexas.edu/academics/undergraduate/calclab/.

Sanger Learning Center: The Sanger Learning Center offers drop-in tutoring and limited one-on-one tutoring.

Sanger Learning Center webpage: http://ugs.utexas.edu/slc/.

Policies

University Code of Conduct: The core values of The University of Texas at Austin are learning, discovery, freedom, leadership, individual opportunity, and responsibility. Each member of the university is expected to uphold these values through integrity, honesty, trust, fairness, and respect toward peers and community.

Student Honor Code: "As a student of The University of Texas at Austin, I shall abide by the core values of the University and uphold academic integrity."

Academic Integrity: A fundamental principle for any educational institution, academic integrity is highly valued and seriously regarded at The University of Texas at Austin. More specifically, you and other students are expected to maintain absolute integrity and a high standard of individual honor in scholastic work undertaken at the University. This is a very basic expectation that is further reinforced by the University's Honor Code. At a minimum, you should complete any assignments, exams, and other scholastic endeavors with the utmost honesty which requires you to:

Students who violate university rules regarding academic integrity are subject to disciplinary penalties, including the possibility of failure in the course and/or dismissal from the university. Policies on scholastic honesty will be strictly enforced. This includes but is not limited to: writing another student’s name on an in-class activity, or otherwise taking or giving credit for work that is not one’s own. This is viewed as a form of cheating by The University of Texas and will be treated as such in this class as well. You are responsible for understanding UT’s Academic Honesty and the University Honor Code which can be found at the following web address: http://deanofstudents.utexas.edu/sjs/acint_student.php

Documented Disability Statement: The University of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities. For more information, contact the Division of Diversity and Community Engagement, Services for Students with Disabilities at 471-6259 (voice) or 232-2937 (video phone) or http://ddce.utexas.edu/disability/

Behavior Concerns Advice Line (BCAL): If you are worried about someone who is acting differently, you may use the Behavior Concerns Advice Line to discuss by phone your concerns about another individual’s behavior. This service is provided through a partnership among the Office of the Dean of Students, the Counseling and Mental Health Center (CMHC), the Employee Assistance Program (EAP), and The University of Texas Police Department (UTPD). Call 512-232-5050 or visit http://www.utexas.edu/safety/bcal

Excused Absences: For an absence to be excused you must provide legitimate documentation prior to or no later than one week after your absence. Excused absences include:

  1. Illness (must have a signed note from your physician on their letterhead; generic “no excuse” form letters from University Health Services will not be accepted)
  2. Critical family events (e.g., weddings or funerals)
  3. Official UT events (e.g., games if you’re an athlete, concerts if you’re a band member)
  4. Religious Holy Days
If you have an excused absence, you will have one week to complete whatever in-class work you missed (quiz, exam, etc.). If your excused absence occurred on a day when a quiz or an exam was given, it is your responsibility to arrange to take a make-up quiz or exam. It is also your responsibility to leave the classroom if the quiz or exam is being discussed before you take the make-up version. Failure to do so will result in forfeiting your opportunity to take the make-up.

Campus Safety and Security: In case of an emergency evacuation, please be aware of the following recommendations the Office of Campus Safety and Security has outlined to keep you and others safe. Additional information may be available at 512-471-5767 or http://www.utexas.edu/safety/.

Counseling: Students often encounter non-academic difficulties during the semester, including stresses from family, health issues, and lifestyle choices. The Counseling and Mental Health Center (CMHC) provides counseling, psychiatric consultation, and prevention services that facilitate students' academic and life goals and enhance their personal growth and well-being. Counseling and Mental Health Center, Student Services Bldg (SSB), 5th Floor, open M-F 8am-5pm. Tel. 512-471-3515 (appointments), 512-471-CALL (crisis line), or www.cmhc.utexas.edu

Drop dates: September 4 is the last day to drop without approval of the department chair; September 14 is the last day to drop the course for a possible refund; November 1 is the last day an undergraduate student may, with the dean's approval, withdraw from the University or drop a class except for urgent and substantiated, nonacademic reasons. For more information about deadlines for adding and dropping the course under different circumstances, please consult the Registrar's web page, http://registrar.utexas.edu/calendars/18-19/.

Rough Schedule

  • Sep 23: Midterm 1
  • Sep 26: section 3.1
  • Sep 28: section 3.2
  • Oct 1: section 3.3
  • Oct 3: section 3.4
  • Oct 5: section 3.5
  • Oct 8: section 3.6
  • Oct 10: section 3.7
  • Oct 12: section 3.8
  • Oct 15: section 3.9
  • Oct 17: section 3.10
  • Oct 19: section 3.11
  • Oct 22: Review
  • Oct 24: Midterm 2
  • Oct 26: section 4.1
  • Oct 29: section 4.2
  • Oct 31: section 4.3
  • Nov 2: section 4.4
  • Nov 5: section 4.5
  • Nov 7: section 4.7
  • Nov 9: section 4.9
  • Nov 12: section 5.1
  • Nov 14: section 5.2
  • Nov 16: section 5.3
  • Nov 19: section 5.4
  • Nov 21, 23: Thanksgiving holiday
  • Nov 26: section 5.5
  • Nov 28: Review
  • Nov 30: Midterm 3
  • Dec 3: section 6.1
  • Dec 5: section 6.2
  • Dec 7: section 6.3
  • Dec 10: Review
  • Date Section Learning Objectives
    Aug 28 1.4 Interpret a function from an algebraic, numerical, graphical, and verbal perspective and extract information relevant to the phenomena modeled by the function.
    Aug 30 1.5 Determine whether functions have inverse functions. If they do, find the inverse function.
    Sep 2 Labor Day
    Sep 4 2.1, 2.2 Determine whether limits exist. If they do, find the limits. Find one-sided limits.
    Sep 6 2.3 Use limit laws to calculate limits. Use the Squeeze Theeorem to calculate limits
    Sep 9 2.4 Use the &epsilon-&delta definition of limit to calculate simple limits*
    Sep 11 2.5 Calculate limits at infinity. Determine horizontal asymptotes of functions.
    Sep 13 2.6 Find the slope of the tangent line to a function.
    Sep 16 2.7 Use the limit definition to find the derivative of a function. Undeerstand the ways a function can fail to be differentiable
    Sep 18 2.8 Determine vertical asymptotes of functions. Apply the Intermediate Value Theorem.
    Sep 20 Review