MATH 142 Fall 2015

Sections 005 & 006

Meeting Times and Office Hours

Lectures: Sections 005 & 006 TTh 11:40 AM - 12:55 PM LeConte 412
Computer Labs: Section 005 W  8:30 AM -  9:20 AM LeConte 102
Section 006 W  9:40 AM - 10:30 AM LeConte 102
Problem Sessions: Section 005 F  8:30 AM -  9:20 AM LeConte 121
Section 006 F  9:40 AM - 10:30 AM LeConte 121
Office Hours: Francisco MTWThF  2:30 PM -  3:30 PM LeConte 314D
Josh MWF  1:00 PM -  2:00 PM LeConte317N

Important deadlines you need to know

  • The semester begins Thursday, August 20th, and ends Friday, December 4th.
  • The deadline to drop/add and the last day to change credit/audit is Wednesday, August 26th. The first day in which a "W" grade is assigned is therefore Thursday, August 27th.
  • The last day to obtain a "W" grade or to elect a pass/fail grade is Monday, October 12th. The first day in which a "WF" grade is assigned is therefore Tuesday, October 13th.


Qualifications earned by grade of C or better in MATH 141.


Calculus. Early Transcendentals by James Stewart. Thompson Brooks/Cole 2008 (sixth edition)

Calculus: Early Transcendentals (Stewart's Calculus Series) Student Solutions Manual for Stewart's Multivariable Calculus, 6th Edition

You will be required to use Enhanced WebAssign, the online homework system that accompanies your textbook, for my course. If you choose to purchase a hard copy of the textbook, you need to buy the bundle that comes with the Enhanced WebAssign code.

Course Structure and Grading Policies

Your final score for the course will be computed as follows:

  • Homework assignments: (up to 100 points) 10% of the course grade.
    Homework problems have been assigned for each lecture (you can see them at the end of this page, under Lesson Plan). A selection of those problems are posted on WebAssign on the day of the lecture, and will be graded. You will have until the end of the next class day to complete the assignment (e.g. what is posted on Monday is due on Wednesday at 11:59PM; what is posted on Friday is due on Monday at 11:59PM) In order to sign up for your section of the course on WebAssign, visit and click on [Enter Class Key]. The class key is

    sc 6532 1240

    Click [here] to retrieve further registration instructions.
  • Quizzes: (up to 100 points) 10% of the course grade.
    A 15-minute quiz will be given in every recitation, except on the week of a midterm exam, or the last week of classes. At the end of the course, you will hopefully have taken at least 10 quizzes (if that is the case, only the 10 best scores will count toward your quiz average).
  • Computer Labs: (up to 100 points) 10% of the course grade.
  • Midterm Exams: (up to 100 points each) 40% of the course grade (10% each midterm).
    There will be four in-class midterm exams scheduled as follows:
    Test # Date
    1 Tue, Sep 08
    2 Tue, Sep 29
    3 Tue, Nov 10
    4 Tue, Nov 24
  • Final Exam: (up to 100 points) 30% of the course grade.
    The final exam is scheduled on Saturday, December 12th, 2015 at 12:30 PM.

The course grade will be determined as follows:

A 90%-100%
B+ 85%-89%
B 80%-84%
C+ 75%-79%
C 70%-74%
D+ 65%-69%
D 60%-64%
F below 60%

Further Information

  • Honor Code:
    The Honor Code applies to all work for this course. Please review the Honor Code at [this link]. Students found violating the Honor Code will be subject to discipline.
  • Some material will be stored in Dropbox. In that case, you will need an account to retrieve it. If you do not have one already, sign-in through [this link] with your academic e-mail address to receive a base 4GB storage, plus an extra 500MB, free of charge.
  • Remember to change your e-mail address on Blackboard if necessary []
  • Office of Student Disability Services:
    If you have special needs as addressed by the Americans with Disabilities Act and need any assistance, please notify the instructor immediately.
  • Math Tutoring Center:
    The Math Tutoring Center is a free tutoring service for MATH 111, 115, 122, 141, 142, and 170. The center also maintains a list of private tutors for math and statistics. The center is located in LeConte, room 105, and the schedule is available at the Department of Mathematics website ( No appointment is necessary.
  • Student Success Center:
    In partnership with University of South Carolina faculty, the Student Success Center (SSC) offers a number of programs to assist you in better understanding your course material and to aid you on your path to success. SSC programs are facilitated by trained undergraduate peer leaders who have previously excelled in their courses. Resources available to students in this course include:
    • Peer Tutoring: You can make a one-on-one appointment with a peer tutor by going to Drop-in Tutoring and Online Tutoring may also be available for this course. Visit the previous website for a full schedule of times, locations, and courses.
    • Success Connect: Throughout the semester, I may communicate with the SSC regarding your progress in the course. If contacted by the SSC, please schedule an appointment to discuss campus resources that are available to you. Success Connect referrals are not punitive and any information shared by me is confidential and subject to FERPA regulations.
    SSC services are offered to all USC undergraduates at no additional cost. You are invited to call the Student Success Hotline at (803) 777-1000 or visit to check schedules and make appointments. Success Consultants are available to assist you in navigating the University and connecting to available resources.

Learning Outcomes

A student who successfully completes Calculus II (MATH 142) should continue to develop as an independent learner with the ability to approach problems from a conceptual viewpoint, to utilize more than one idea in a single problem, and to apply appropriate calculus skills to problems in context. In particular, the successful student will master concepts and gain skills needed to solve problems related to:

  • Techniques of integration
    • Substitution
    • Integration by parts
    • Trigonometric integrals and trigonometric substitution
    • Partial fractions
  • Improper integrals
  • Applications of integration in Geometry, Science and Engineering
    • Area
    • Volume by disks and shells
    • Average value
  • Convergence of sequences and series
    • n-th term test (for divergence)
    • Integral test
    • Comparison test
    • Ratio test
    • Root test
    • Alternating series test
  • Power series
  • Taylor and Maclaurin series
  • Applications of Taylor polynomials
  • Polar coordinates
  • Area and length in polar coordinates

Lesson plan

  • Part 1: Integration Techniques
    • Thu Aug 20: 5.5. The Substitution Rule [p.406 #1--16, 19, 21--26, 28--32, 34, 36, 37, 40, 42, 45, 51--55, 58]
    • Tue Aug 25: 7.1. Integration by parts [p.457 #1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 30, 32, 34, 36, 38]
    • Thu Aug 27: 7.2. Trigonometric Integration [p.465 #1--48, 55, 57, 58, 61--64]
    • Tue Sep 01: 7.3. Trigonometric substitutions [p.472 #4--29]
    • Thu Sep 03: 7.4. Integration of rational functions by partial fraction decomposition [p.481 #7--38]
    • Tue Sep 08: First Midterm. Section 5.5, and chapter 7
  • Part 2: The Fundamental Theorem of Calculus, Improper Integrals, and Applications
    • Thu Sep 10: 5.3. The Fundamental Theorem of Calculus [p.388 #7--10, 13, 14, 19--31, 35--40, 53--56]
    • Tue Sep 15: 7.8. Improper integrals [p.515 #5--40]
    • Thu Sep 17: 6.1 & 6.2. Area and Volume [p.420 #1--28; p.430 #1--18]
    • Tue Sep 22: 6.3. Volume by cylindrical shells [p.436 #3--7, 10--14, 21]
    • Thu Sep 24: Review of techniques of computation of areas and volumes
    • Tue Sep 29: Second Midterm. Sections 5.3, 7.8 and chapter 6
  • Part 3: Sequences and Series
    • Thu Oct 01: 11.1. Sequences [p.684 #3--46]
    • Tue Oct 06: Classes canceled.
    • Thu Oct 08: Classes canceled.
    • Tue Oct 13: 11.2. Introduction to series [p.694 #9, 11-40]
    • Thu Oct 15: 11.3. The Integral test [p.703 #3--26]
    • Tue Oct 20: 11.4. The Comparison test [p.709 #3--32]
    • Tue Oct 27: 11.5-11.6. Absolute convergence. The ratio and root tests [p.713 #2--20, p.719 #2--28]
    • Thu Oct 29: 11.8. Power series [p.727 #3-28]
    • Tue Nov 03: 11.9. Functions as Power Series [p.733 #3--12, 15--17]
    • Thu Nov 05: 11.10. Taylor and MacLaurin Series [p.746 #5--20]
    • Tue Nov 10: Third Midterm. Sections 11.1-11.10
  • Part 4: Curves
    • Thu Nov 12: 10.3. Polar coordinates [p.647 #1ab, 3ab, 5i, 7--12, 21--26, 29--48]
    • Tue Nov 17: 10.4. Polar coordinates: area and length.
    • Thu Nov 19: 10.1. Curves defined by parametric equations
    • Tue Nov 24: Fourth Midterm. Chapter 10
  • Final Stretch
    • Tue Dec 01: Review (1|2)
    • Thu Dec 03: Review (2|2)