Wright State University Lake Campus/2017-1/MTH2310/Syllabus

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Instructor: Guy Vandegrift ... guy.vandegrift@wright.edu ... http://www.wright.edu/~guy.vandegrift/ ... User:Guy vandegrift

Class meets[edit]

Prerequisite: MTH 2300

TEXT: Calculus Concepts & Contexts by James Stewart (4thed.) ISBN 0-495-55742-0

Calculator: A graphing calculator such as the TI-84 plus is required for this course. Calculators capable of symbolic differentiation (for example, the TI-89) cannot be used in this course.

Grades[edit]

5 tests 500 points 5/6 ≈ 83%
Labs 100 points 1/6 ≈ 17%
 ...total 600 points   100%

The grade is based on a 600 point scale, with five tests worth 500 points, and a term project worth 100 points. Each test is worth 100 points, with the understanding that you final exam score can be substituted for your lowest of the four midterm scores. You can't drop the final exam. But, you can have your final exam count for 200 points by replacing your lowest midterm test score if that helps your grade. Your project and each undropped test is worth 1/6 ≈ 17% of your grade. If your lowest grade is one of the four midterm tests, that score is dropped and the final exam is worth 2/6 ≈ 33% of your grade.

test Case 1  include Case 2 include
T1 80 80            80 80
T2 80 80 80 80
T3 80 80 80 80
T4 40 - 70 70
FE 70 70 40 40
' ' 70 -
Ave. 76% 70%
Sum 380 350

The table to the right illustrates how these rules allow either the lowest midterm test, or half the final exam to be dropped, if the final exam is given twice the weight of a midterm.

In both cases, three test scores were 80%, while one was 70% and another was 49%. In case 1, the lowest score is completely dropped, and the final exam score counts twice. In case 2, the lowest score was the final exam, weighted equally with the four midterm tests because it was the lowest score.

Labs and attendance[edit]

A one credit lab (PHY,,,L) is a co-requisite to this course. A lab report is due electronically via Pilot on Friday at 11:00 pm on the week of each of the four tests. You are encouraged to write your report on wright.miraheze.org either using wikitext, or by photographing a report or drawing and submitting a pdf printout. Any extra-credit must be submitted in this way in a way that permits Collective Commons licensing. A private wiki will be assigned to you on the wikifarm at https://wright.miraheze.org/wiki/Main_Page.

Attendance is required for all scheduled meeting times. But you are allowed to miss five class hours (not days not classes) without penalty. Once you have exceeded this limit, your lab grade will be reduced by 5 points (out of 100) for each lab missed. If the course has a recitation section, you may make up attendance points by attending those sections. There is a small extra credit award of 0.5 points per class hour for missing fewer than five class hours.

Materials will also be posted on

Course Description[edit]

Extended content

The exams cover the following sections of the textbook:

Test1: 1.7, 4.5, 5.6, G,, 5.7, 5.10
Test2: 6.1, 6.2,6.3, 6.4,6.6
Test3: 8.1, 8.2,, 8.4, 8.5, 8.6, 8.7
Test4: 9.1, 9.2., 9.3, 9.4, 9.5, 9.6, H1, H2

The course project in this course serves the same role that homework would serve in a traditional calculus class. Students will propose new problems in their private wikis and post clear and understandable solutions. Whenever possible, the solution derives the result from first principles, and not a formula found in the book. Handwritten solutions shall be pdf or gif images, while the new problems shoule be in wikitext.

More details[edit]

MTH2310 Calculus II is part of Element 2 of the Wright State Core. After taking this course, students should be able to

  1. Identify the various elements of a mathematical or statistical model.
  2. Determine the values of specific components of a mathematical/statistical model or relationships among various components.
  3. Apply a mathematical/statistical model to a real-world problem.
  4. Interpret and draw conclusions from graphical, tabular, and other numerical or statistical representations of data.
  5. Summarize and justify analyses of mathematical/statistical models for problems, expressing solutions using an appropriate combination of words, symbols, tables or graphs.

Course Objectives:

To study conic sections, functions, limits, continuity, the derivative, derivatives and integrals of algebraic and trigonometric functions, and applications. In particular, upon completion of this course, you’ll be able to perform the following tasks.

  1. Find limits using L’Hopital’s rule.
  2. Find anti-derivatives by substitution.
  3. Find anti-derivatives by parts.
  4. Be knowledgeable to additional integration techniques, such as partial fractions, tables, and inverse trigonometric functions.
  5. Estimate integrals numerically.
  6. Compute improper integrals.
  7. Find areas, volumes and arc lengths using integrals.
  8. Calculate volumes by the disk method and/or the shell method.
  9. Evaluate the average value of a function using an integral.
  10. Solve integral applications in Physics and Engineering.
  11. Solve integral applications in Economics and Biology.
  12. Model with differential Equations.
  13. Generalize a formula of a sequence using given terms. Determine the convergence or divergence of sequences.
  14. Define series and partial sums. Determine the convergence and divergence.
  15. Determine the convergence/divergence using Integral and Comparison.
  16. Describe some common series and their convergence criteria, such p-series, telescoping series, geometric series, alternating series and etc.
  17. Describe and determine absolute convergence using the Ratio Test.
  18. Describe the power series and identify the radius and interval of convergence.
  19. Represent functions as power series and identify the convergence criteria in terms of radius and intervals.
  20. Expand functions using Maclaurin Series and Taylor Series. Identify the radius and interval of convergence.
  21. Give examples of applications of Taylor Polynomials, such as computing trigonometric, exponential and logarithmic functions. Give an error estimate and decide the number of terms needed to reach the required accuracy.
  22. Describe the 3D space using the rectangular coordinate system.
  23. Describe vectors, directions and magnitudes. Perform the addition and scalar multiplication of vectors. Provide the geometric interpretation.
  24. Describe the standard basis for the #D space and represent vectors in terms of the standard basis.
  25. Describe and compute the dot product. Explain and give at least one application.
  26. Describe and compute the cross product. Explain and provide one application.
  27. Find equations of lines in the 3D space.
  28. Find the equations of planes in the 3D space.
  29. Describe functions and surfaces in the 3D space.
  30. Convert among rectangular, cylindrical and spherical coordinates.


Course Materials[edit]

User:Guy vandegrift/T/CourseMaterials

Getting help[edit]

Getting help

Writing: Because writing is such an important part of a college education, the Student Success Center provides free writing support to all Wright State students, at any stage of your writing process and for any class. I encourage you to visit the SSC for help with any aspect of your writing, from research to revision. Sessions are available M-Th by appointment or walk-in from 10-5 pm and Fridays by appointment only from 10-5. To make an appointment, stop by the SSC (182 Andrews Hall) or call 419-586-0333. For more information about the SSC, their hours, and scheduling, please visit: https://lake.wright.edu/campus-life/student-success-center.

Math: The Student Success Center offers free assistance to students enrolled in mathematics courses within the Wright State Catalog. I encourage you to visit the SSC for help with any aspect of math above DEV. Sessions are available M-Th by appointment or walk-in from 10-5 pm and Fridays by appointment only from 10-5 pm. To make an appointment, stop by the SSC (182 Andrew Hall) or call 419-586-0333. For more information about the SSC, their hours, and scheduling, please visit: https://lake.wright.edu/campus-life/student-success-center.

LTC: The Library & Technology Center provides free access to scholarly resources in all formats to all Wright State students. WSU students can also visit the LTC for assistance with creating or editing multimedia projects i.e. PowerPoint, Voiceovers, Website development, etc., free of charge. The LTC is temporarily located in 182 Andrews Hall. For additional information about the LTC and the services they provide please call (419) 586-0333, or visit the LTC M-Fri from 9am-5pm

Office of Disability Services: If a student has a disability that will require special accommodations, it is essential that he or she discuss it with the instructor and/or The Office of Disability Services (ODS) before or during the first week of the semester. ODS will work with these students on an individual basis to determine what services, equipment, and accommodations would be appropriate regarding their documented needs. Students who may qualify for these types of services should initiate contact with the instructor and/ or ODS as soon as possible to enable the university to meet their needs.  Please call Deanna Springer at 419-586-0366, email deanna.springer@wright.edu or visit ODS (Rm 182 Andrews) for more information.