Office hours and address

Office location: Boyd 603C

Office hours for Summer 2018

  • Every day: 2:00-3:30pm
  • Tuesdays and Thursdays additional hours: 4:30-6:00pm

or by appointment. You can stop by if my door is open.

Mailing address

Dr. Michael Klipper
(706) 542-2588
Boyd GSRC 603C
The University of Georgia
Athens, GA 30602

Basic Course Information / Links

Course Sections (click on the section number for syllabus)

Section 24956: MWF 8:00am-8:50am in Boyd 323, T 8:00am-9:15am in Boyd 323

Section 40632: MWF 2:30pm-3:20pm in Boyd 323, T 2:00pm-3:15pm in Geography / Geology 155


Useful Website Links




Department-wide Math 2250 page

Free online graphing calculator (Desmos)


Tutoring resources (includes some paid tutor options)

Math 2250, Spring 2018

Rough class schedule:

This calendar is updated weekly, indicating which textbook sections we plan to cover. It is where you will find paper HW assignments, test review documents, and other useful handouts.

This schedule will not show the topics for each day. Instead, it will outline what we plan to cover over the whole week. If you want more detail, email me or talk to me outside of class.

UNIT 1: Limits

Week 0:

  • Introduction to the course (see the syllabus at the top of this page)
    • Make sure to log on to WeBWorK and practice with it! Check the syllabus or email me if you're having problems.
    • You will need to install VPN (virtual private network) programs if you plan to use WeBWorK off-campus. Read this to see the necessary steps.
    • Here's an algebra pretest. (In class, I only handed out the first two pages.) Here's an algebra review if you want more help.
      • I especially recommend practicing fraction manipulation! If you want help with common denominators, look at these documents.
  • Section 2.1: average versus instantaneous slopes


There's no paper HW or quiz for this week. (We only meet on Friday, after all!)

Week 1:

  • Section 2.2: pictures of limits, computing basic limits, some 0/0 forms (rationalization)
    • We will mostly skip over the Sandwich Theorem (aka Squeeze Theorem) in the textbook.
    • Groupwork for Tuesday's class
      • If you want, you can look through the first page (with problems) before class. But don't read all the answers until after class.
  • Section 2.4: one-sided limits, sin(theta)/theta when theta is close to 0
  • Start Section 2.5: picturing continuity


No quiz this week: the first quiz will be Tuesday January 16.


Demo paper HW, with solutions

  • This is meant to show the level of explanation and presentation we want with paper assignments.
  • The first graded paper HW will come out at the end of this week, to be due the following Friday.

Week 2:

  • NO CLASS MONDAY (Martin Luther King Jr day)
  • Finish Section 2.5: domain and continuity, Intermediate Value Theorem
  • Section 2.6: horizontal and vertical asymptotes, drawing sign diagrams for functions


Quiz this week: Section 2.2


Paper HW 1, due Friday January 19

  • You may want to look at the demo from last week to get an idea of the expected presentation.
  • Some solutions will be uploaded to eLC on Monday January 22. (It will always be one class day after the due date.)


TEST 1 is on next Tuesday, January 23.

  • It covers Sections 2.1 through 2.6 (from average / instantaneous slopes to asymptotes), excluding 2.3.
  • Expect somewhere from 6 to 8 questions, with a 75-minute time limit.
    • You do not have to explain your answers with full sentences unless the question specifically asks for it.
    • Per syllabus policy, the only allowed calculator is TI-30XS Multiview calculator. (You do not need a calculator though.)
  • Topic list for the exam, with some review questions
  • Practice questions for the exam
    • We will go over many of these in class next Monday.
    • Try these out ahead of time, so you can review these with your other classmates!

Week 3:

  • Monday: in-class review for Test 1
    • Look just above for review documents to help with Test 1, as well as clarifying expectations.
    • Make sure you understand the grading comments on Paper HW 1! You do not want to make the same concept errors on the test.
  • Tuesday: TEST 1
  • Sections 3.1 and 3.2: the definition of derivative (tangent lines), notations for the derivative, when a function is not differentiable


No quiz this week


No paper HW this week

UNIT 2: Computing derivatives

Week 4:


Quiz this week: Sections 3.1 and/or 3.2 (derivative by definition)

  • In this quiz, you may not use any derivative rules we cover in this week of class. You have to use the definition of derivative.


Paper HW 2, due Friday 2/2 in class

Week 5:


Quiz this week: Sections 3.3 and/or 3.4 (Power Rule, Product and Quotient Rules, velocity and acceleration)


Paper HW 3, due Friday 2/9 in class

Week 6:


Quiz this week: Section 3.6 (Chain Rule)


Paper HW 4, due Friday 2/16 in class


TEST 2 is on next Tuesday, February 20.

  • It covers Sections 3.1 through 3.10.
  • Expect somewhere from 6 to 8 questions, with a 75-minute time limit.
    • Most questions will not ask for proofs will full sentences.
    • Proofs you may be expected to be able to do on the test:
      • Compute a derivative just by definition (like in Sections 3.1 and 3.2).
      • Proof of the sum or difference law of derivatives (i.e. (f+g)' = f' + g')
      • Proof of the derivatives for (sin x)' and (cos x)' if we provide you the right trig identities
      • Rewrite an inverse function in an implicit style to discover derivatives like (ln x)', (arcsin x)', or similar
  • Per syllabus policy, the only allowed calculator is TI-30XS Multiview calculator. (You do not need a calculator though.)
  • Topic list for the test
  • Practice questions
    • We will go over practice questions in class next Monday. Try these out ahead of time, so you can review these with your other classmates!

Week 7:


    No quiz this week


    No paper HW this week

    UNIT 3: Applications of the derivative

    Week 8:


    Quiz this week: Section 3.11 (linearization and differentials)


    Paper HW 5, due Friday 3/2 in class

    Week 9:


    Quiz this week (12 minutes): Section 4.3 (analyzing the signs of f'(x) to determine rise, fall, extrema)


    Paper HW 6, due Friday 3/9 in class

    • If you're going to leave early for break, you should make arrangements with me to hand in your HW before leaving.

    Week 10:


    Quiz this week (12 minutes): Section 4.5 (L'Hopital's Rule) on 0/0 or infinity/infinity forms only


    Paper HW 7, due Friday 3/23 in class


    TEST 3 is on next Tuesday, March 27.

    • It covers Sections 3.11 through 4.6
    • Expect somewhere from 6 to 8 questions, with a 75-minute time limit.
      • A couple questions may ask for brief, one-sentence explanations of your reasoning, similar to the Paper HW standards.
      • There is a question where f'(x) and f''(x) are both important, but you're already given f''(x) for free. (You need to compute f'(x) yourself though.)
      • You should know how to state important theorems from this unit (Extreme Value Theorem, MVT, etc.)
        • This is because, in order for these theorems to be used, we have to check their hypotheses!
        • (For example, you have to check for 0/0 or infty/infty before you can use L'Hopital's Rule.)
    • Per syllabus policy, the only allowed calculator is a TI-30XS Multiview calculator.
    • Topic list for the test
    • Practice questions
      • We will go over practice questions in class next Monday. Try these out ahead of time, so you can review these with your other classmates!
      • There are more practice questions in this set than usual, so this document also has solutions to many of those problems.

    Week 11:


    No quiz or paper HW this week

    UNIT 4: Basic fundamentals of integration

    Week 12:

    • Section 5.1: the area under a curve y = f(x), finding some exact areas by geometry, writing Riemann sums to approximate areas
    • Section 5.2 (2 days): summation notation to express long sums, Riemann sums in summation form, taking limits of Riemann sums
    • Section 5.3: basic properties of the definite integral, average value of a function


    Quiz this week: Section 4.8 (indefinite integral notation for antiderivatives)


    Paper HW 8, due Friday April 6, 2018

    Week 13:


    Quiz this week: Sections 5.1 and 5.2 (writing Riemann sums to estimate areas)

    • We will have one last quiz on the final Tuesday of classes.


    Paper HW 9, due Friday April 13, 2018

    • This is the last paper HW set.
    • I may put out some optional practice problems, with solutions, in the last week of class though.


    TEST 4 is on next Tuesday April 17, 2018.

    • It covers Sections 4.8 through 5.5. (We have skipped Section 4.7 in the text on Newton's Method.)
      • We will still cover Section 5.6 after this test to finish the course.
    • Expect a length similar to previous in-class tests (6 to 8 questions).
      • Unsimplified numbers should generally be used for expressing sums, instead of decimal approximations in a calculator.
      • You may have to draw some rectangle approximations during the exam.
      • Any summation identities (like the sums of k, k^2, or k^3) will be provided on the test if you need them.
    • The only allowed calculator, per syllabus policy, is the TI-30XS Multiview.
    • Topic list for the test
    • Practice questions


    Start your final exam review by now. See details at the bottom of this page.

    Week 14:

    • Review for Test 4
    • TEST 4
    • Section 5.6, days 1 and 2 (out of 3): Substitution with definite integrals, area between two curves


    No quiz this week


    No more paper HW

    • Start reviewing for the final exam instead! See the information below.

    Week 15:

    • Finish Section 5.6: area between curves
    • Tuesday and Wednesday both involve review!
      • On Tuesday, we'll look over the website with old finals and skim over the topics list.
      • On Wednesday, let's go over parts of an old final (like the recent Fall 2017 final).


    Quiz this week: Section 5.6 (substitutions with definite integrals)

    Final exam details

    Thursday May 3, 2018

    7:00pm to 10:00pm

    Miller Learning Center room 171

    • If you cannot make this scheduled date and time, let me know as soon as possible. Makeup arrangements may be possible.
    • This test is a mass exam for (almost) all sections of Math 2250.


    Pooled office hours schedule in Boyd 628

    • These office hours are open to any calculus student, whether or not your own instructor is working those hours.
    • I will also have fairly flexible office hours outside of those, so stop by or message me if interested.


    Math department page with more information about the final

    • This page has a study guide of what topics could be tested.
    • There are also plenty of old final exams to look at!


    A few important policies for this test:

    • Bring your student ID to the test.
    • Once the test starts, there are no bathroom breaks. Talk to me if there are issues.
    • You'll have to leave your backpack (or other containers) at the front of the testing room, with your phones or smart watches turned off.

    Last updated: 4/23/2018