Math 1110 (Summer 2023) Homepage

Syllabus Schedule Suggested Homework

Old Exams ASULearn [to access eText]

News & Announcements

8/08

I just sent out an email with your final grade report including final exam grades, course averages, and letter grades.

If you ever want to look over your final exam, please feel free to stop by my office. I tend to keep them around for a year or more.

I hope you have a wonderful (what remains of the) summer! Most importantly, even though this class is over, if you ever have any questions mathematical or otherwise, don't hesitate to stop by my office or send me an email. I'd love to help if I can!

8/04

The Final Exam is Tuesday, August 8^th (at 8am). You may bring one page (one side, standard sized paper) of notes/formulas to the exam.

Don't forget that the final exam can replace a lowest test score (if it helps), so prepare well!

To review for the final exam I recommend looking over our old tests (and the answer keys I gave you). Looking over notes, homeworks, quizzes, doing suggested homework are all good ideas too. Old tests and final exams should provide great practice.

Your final will be cumulative, but you can ignore some of the "reviewed" portions.

Chapter 1: 1.1-1.5 [Limits and continuity]

You should know how to compute limits and one-sided limits from a graph or using algebra. You should know how to tell where a function is continuous (including piecewise defined functions).
You should also know how to analyze vertical and horizontal asymptotes (i.e., limits as x or f(x) become infinite).

Chapter 2: 2.1-2.5 [Derivatives!]

You should know what an average rate of change = difference quotient is, but I won't ask you to use the limit definition to find a derivative. You should know how to find a tangent line's equation and how to compute derivatives.

Chapter 3: 3.1-3.4 [More derivatives!]

Know how to do implicit differentiation and how to use all of the derivative rules. Know how to find the derivative of an inverse function. For example, I want you to be able to derive the formulas for the derivatives of ln, arctangent, arcsine, etc. You should be able to use the quotient rule to derive the formulas for the derivatives of tangent, secant etc. Also, know how to deal with logarithms.
You may skip the stuff on differentials, Newton's method, and hyperbolic functions. We also discussed Taylor polynomials. You may skip this topic.

Chapter 4: 4.1-4.8 [Applications]

Know how to do related rate (4.1) and optimization problems (4.7). You need to know what a derivative means/does. But don't worry about theorems (like IVT and MVT).
You should know what critical points, mins, maxs, inflection points etc. are as well as how to maximize and minimize on a closed interval. You should be able to create number lines for the first and second derivatives to be able to tell where a function increases and decreases and where its concave up or down. This stuff should allow you to find relative mins, maxs, and inflection points.
Plan on seeing L'Hopital again amongst limit problems.
Know how to solve simple initial value problems (4.8) and verify is something is a solution of a DE or not.

Chapter 5: 5.1-5.6 [Integration]

Know what the definite integral computes (i.e., net area). You should be able to compute net area from a graph built from simple shapes (like rectangles, triangles, circles). Know how to approximate integrals using left, right, midpoint, and trapezoid rules. You should also be able to draw pictures of these kinds of approximations and judge whether you get an over- or under-estimate.
You should be able to compute definite and indefinite integrals. You should know the statements of both parts of the fundamental theorem of calculus.
Know how to do some moderately simple u-substitutions and solve separation of variables DEs and simple initial value problems.

Chapter 6: 6.1 [Application]

We (will) discuss area between two curves. Be ready for this kind of problem.

Other than our old Test 1,2,3 problems you might want to look at old exams from Calculus 1 and some problems from Calculus 2 (MAT 1120). Most of my old Calculus 1 exams are missing a few topics. In particular, they have lack separation of variables problems or area between curves. So some Calculus 2 problems are worth taking a look at.

• Old Math 1110 [Calculus I] exams:
  • Summer 2022
    • Test #1 problems all except 2,6b
    • Test #2 problems all except 2b,3,4b,5c,6
    • Test #3 problems all except 4,5
    • Final Exam problems all of it
  • Fall 2017
    • Test #1 problems 1,2a,4-8
    • Test #2 problems 1,4-5(skip hyperbolics)
    • Test #3 problems all of it
  • Summer 2017
    • Test #1 problems 1,2ab,4-9
    • Test #2 problems 1,4-7(skip hyperbolics)
    • Test #3 problems all of it
    • Final Exam problems all of it
  • Summer 2014
    • Test #1 problems 1-2,4-9
    • Test #2 problems 1,5-7(skip hyperbolics)
    • Test #3 problems all of it
  • Summer 2012
    • Test #1 problems 2,4abe,5-7
    • Test #2 problems 1-3,4b,5-6
    • Test #3 problems 2,3,6
    • Final Exam problems all except 5
    
    
• Old Math 1120 [Calculus II] exams:
• Fall 2021
  • Test #1 both forms problems 1-4
  • Final Exam problems 1a,3b,4
• Spring 2014
  • Test #1 both forms problem 1b
  • Test #2 both forms problem 1
  • Final Exam Sec. 101 problems 2,4a
  • Final Exam Sec. 108 problems 2,6a
• Fall 2010
  • Test #1 both forms problems 1,2ac,4,6
  • Test #2 both forms problem 3
• Spring 2009
  • Test #1 both forms problems 1,2a,3,5,7
  • Test #2 problem 4
  • Final Exam both forms problems 1ab,3
  
  

Other handouts and resources to consider:

• L'Hopital's Rule Exercises (.pdf) [Source: (.tex)] and Web version
• Derivatives Practice (.pdf) [Source: (.tex)] and the Sage version.
• Some Derivative Practice [Source: (.tex)]
• Some Integral Practice [Source: (.tex)]
• Separation of Variables Examples [Source: (.tex)]
• Old Abandoned Business Calculus (MAT 1030):

  Math 1030 "Business Calculus" covered differentiation and some integration, but did not deal with trig functions. These resources are incomplete - but relevant.

  In particular, old Math 1030 Final Exams problems 1 and 2 (i.e. "part 1") can give you even more practice with derivatives and basic integrals.

8/03

Handouts:
• Some Integral Practice [Source: (.tex)]
• Separation of Variables Examples [Source: (.tex)]

8/01

Dont' forget that Homework #4 [Source: (.tex)] is due Thursday (August 3^rd).

Sage Demos from today:
• Area Approximation (simpler interface).
• Area Approximation II (allows general partitions and table input).

7/27

Reminder:
• Homework #3 [Source: (.tex)] is due this Friday (=tomorrow).
• Our last homework, Homework #4 [Source: (.tex)], is due Thursday, August 3^rd (next week).

Test #3 is Monday, July 31^st. It covers most of Chapter 4: 4.1-4.7 as well as a bit about Taylor polynomials. As mentioned in class, I will give you the formula that defines Taylor polynomials.

Our recent relevant handouts:

• Theorems and Definitions Handout [Source: (.tex)]
• Taylor Polynomials [Source: (.tex)] and accompanying Taylor Polynomials Sage demo.
• L'Hopital's Rule Exercises [Source: (.tex)] and Web version

As always, quiz & homework keys, examples from class, and suggested homework are great for test preparation, but your best tool is old tests. Here are relevant problems from Old Tests:

• Summer 2022
  • Test #3: All of it.
• Fall 2017
  • Test #1: 2b,5-7
  • Test #2: 2
  • Test #3: All of it.
• Summer 2017
  • Test #1: 2acd,4b,5-8
  • Test #2: 2
  • Test #3: All of it.
  • Final Exam: 1c,2,5
• Summer 2014
  • Test #1: 2acd,5,6,8
  • Test #2: 4bc
  • Test #3: All of it.
• Summer 2012
  • Test #1: 4acde,5-7
  • Test #2: 1
  • Test #3: 2,3,6,7
  • Final Exam: 1cde,3,5,6

7/24

Reminder:
• Homeworks #2 & #3 [Source: (.tex)] are due this Wednesday and Friday respectively.

Upcoming Handouts:
• Theorems and Definitions Handout [Source: (.tex)]
• Taylor Polynomials [Source: (.tex)] and accompanying Taylor Polynomials Sage demo.
• L'Hopital's Rule Exercises [Source: (.tex)] and Web version

Upcoming Demos:
• Derivative Graphs Demo (Sage) and (Desmos)
• Optimization Sage Demo.
• Classifying Critical Points Sage Demo.

7/20

You should be able to do Homework #2 now:
Homeworks #2 & #3 [Source: (.tex)] (due: Wednesday, July 26^th)

Handout for tomorrow: Theorems and Definitions Handout [Source: (.tex)]

Test #2 is Monday (July 24^th). It covers Chapter 3. The bulk of the test will be on differentiation, so a great study tool is our Derivatives Practice handout. Of course, quizzes, notes from class and suggested homework are great things to look at. We will spend some of tomorrow's class reviewing for the test.

Again, I highly recommend looking at old tests. Last Summer 2022's Test #2 should be a lot like our test. Relevant problems from old tests are listed below. [Old Tests]

• Summer 2022
  • Test #2: all of it
• Fall 2017
  • Test #1: 8
  • Test #2: 1,3-5
• Summer 2017
  • Test #1: 9
  • Test #2: 1,3-7
  • Final Exam: 4,8(except part f)
• Summer 2014
  • Test #1: 9
  • Test #2: 1,3,5-7
• Summer 2012
  • Test #2: 3,5,6
  • Test #3: 5
  • Final Exam: 8(except part f)

More derivatives practice from "Business Calculus" (a course that no longer exists):
Math 1030 Derivatives Practice (.pdf) [Source: (.tex)] and Answer Key (.pdf) [Source: (.tex)]

7/19

Newton's method Sage demo.

7/18

Handouts:
• Some Trig Formulas [Source: (.tex)]
• Derivatives Practice (.pdf) [Source: (.tex)] and the Sage version

7/12

Test #1 is Monday (July 17^th) at 8am in Walker 314.

Test #1 Review:
Our test will cover Chapters 1 & 2. I have several old tests posted here, but our new textbook is quite different from the previous one, so only the most recent test matches up well.

I highly recommend looking at our quizzes and the first homework as well as notes from class and suggested homework. Friday's review should be helpful too!

Here are relevant old test questions...

• Summer 2022
  • Test #1: all of it
• Fall 2017
  • Test #1: 1,2a,3-6,8acd
  • Test #3: 6a
• Summer 2017
  • Test #1: 1,2ab,3,4(except 4b part iv),5,8,9ac
  • Test #3: 6a
  • Final Exam: 1a
• Summer 2014
  • Test #1: 1,2abc,3,4,5,7,8,9acd
  • Test #3: 6a
• Summer 2012
  • Test #1: 1-3,4abe,5
  • Test #2: 5b,6b
  • Final Exam: 1abc

7/10

Upcoming demos:

• average rate of change demo (Sage)
• definition of the derivative demo (Sage) and (Desmos)
• tangent line demo (Sage) and (Desmos)
• derivative graphs demo (Sage) and (Desmos)

7/07

Homework Sets:

• Homework #1 [Source: (.tex)] is due Wednesday, July 12^th.
• Homeworks #2 & #3 [Source: (.tex)]
  • Homework #2 is due Wednesday, July 26^th.
  • Homework #3 is due Friday, July 28^th.
• Homework #4 [Source: (.tex)] is due Thursday, August 3^rd.

7/06

We begin by discussing limits including limits approaching infinity. The following resources may be helpful:

• Computing limits demo [Sage]         Possibly helpful: Definition of Limit Demo (Desmos)
• An old discussion of asymptotics and dealing with rational functions [Source: (.zip)]
  
  Note: The above handout was expanded turned into expository papers written with Mike Bosse. For those curious here are links to preliminary versions of the published papers:
  Crossing Through and Bouncing Off Infinity: Graphing Rational Functions
  and
  Types of Infinity.
  
  

5/18

Syllabus, Schedule, Suggested Homework, ASULearn, and Achieve have been updated.

Math lab & Summer Tutoring information can be found here.