MTH 131-950 Week 16 (May 9 - May 13)

Before Thursday's class (5 hours)

• Information regarding the final exam is posted here.


• Although you will not be tested on the content from the Lecture 35 or Lecture 37 notes, that material is part of the course. Please read those notes and work through the material.
  


• The final exam is Thursday during class.
  


• If you have not completed the course evaluations, please do so. You should have received an invitation by email.


• Have a wonderful summer!
  

MTH 131-950 Week 15 (May 2 - May 8)

Before Thursday's class (5 hours)

• Quiz 11 is due May 5.


• Review the material from Lecture 30. See the end of last week's schedule for some videos.
  


• Carefully read and work through the notes for Lecture 31, Lecture 32, and Lecture 33. This material is difficult! I'm not expecting you to master this material, but I want you to be familiar with it for Thursday's lecture.


• Here are some videos that may help with the material from Lectures 31-33.
• Approximating areas with Riemann sums
• Riemann sums, summation notation, and definite integral notation
• Applying properties of definite integrals
  


• Practice suggested homework problems from sections 4.10, 5.1, and 5.2.

Thursday class (2 hours)

• We will discuss the definite integral and the fundamental theorems of calculus.
  

After Thursday's class (5 hours)

• Carefully read and work through the notes for Lecture 34 and Lecture 36.
  


• Here are some videos that may help with the material from Lectures 34 and 36.
• The fundamental theorem of calculus
• Integrating using substitution
  


• Practice suggested homework problems from sections 5.1-5.5.


• Start preparing for the final exam. Information concerning the final exam is posted here.

MTH 131-950 Week 14 (Apr 25 - May 1)

Before Thursday's class (5 hours)

• Quiz 10 is due April 28.


• Review the material from Lectures 26 and 28.


• Carefully read and work through the notes for Lecture 30.


• Here are some videos that may help with the Lecture 30 material.
• Antiderivatives and indefinite integrals
• Basic antidifferentiation rules
• More basic antidifferentiation rules
  


• Practice suggested homework problems from sections 4.6, 4.8, and 4.10.

Thursday class (2 hours)

• We will do some examples of L'Hopitals rule. Then we will discuss antiderivatives and indefinite integrals. Time permitting we will begin to discuss area under curves.
  

After Thursday's class (5 hours)

• Carefully read and work through the notes for Lecture 31, Lecture 32, and Lecture 33. This material is difficult! I'm not expecting you to master this material, but I want you to be familiar with it for next Thursday's lecture. Read and reread the material!
  


• Practice suggested homework problems from sections 4.6, 4.8, and 4.10.


• Quiz 11 is due May 5.

MTH 131-950 Week 13 (Apr 18 - Apr 24)

Before Thursday's class (5 hours)

• Look back to end of Week 11 and get caught up on the material from Lectures 24 and 25.


• Practice suggested homework problems from section 4.5.

Thursday class (2 hours)

• We will discuss the 1st and 2nd derivative tests (Lecture 24 and 25). Time permitting, we will begin Lecture 26 (limits at infinity).

After Thursday's class (6 hours)

• Carefully read and work through the notes for Lecture 26.


• These videos will help with the Lecture 26 material.
• Introduction to limits at infinity
  


• Carefully read and work through the notes for Lecture 28.


• These videos will help with the Lecture 28 material.
• L'Hopital's rule for finding limits of indeterminate forms
  


• Practice suggested homework problems from sections 4.6 and 4.8.


• Quiz 10 is due April 28.

MTH 131-950 Week 12 (Apr 11 - Apr 17)

Before Thursday's class (5 hours)

• Quiz 9 is due April 14.


• Prepare for Test 3. Test 3 is in class on Thursday, April 14.
  • The test covers these weekly objectives. (The test covers the material from the notes for Lectures 17, 18, 20, 21, 22, and 24.)
    
  • The best thing you can do to prepare for the test is to practice lots of homework problems from sections 3.7, 3.9, 4.2, 4.3, and 4.4.
  • You may use the trigonometry and derivatives handouts that were distributed in class, as long as you haven't written on them.
  • You may want to check out old archived tests and quizzes from Fall 2021. In particular, see Quiz 4, Quiz 5, Homework 4, and Test 3 (problems 1-5, 8-13).
  • You may want to check out old archived tests and quizzes from Spring 2021. In particular, see Quiz 4, Homework 4, and Test 3 (problems 2-15).
  • You may want to check out old archived tests and quizzes from Fall 2020. In particular, see Quiz 6 (problems 2-4), Quiz 7, Quiz 8, and Test 3 (problems 2-8, 11).

Thursday class (2 hours)

• The entire class time will be used for Test 3.

After Thursday's class (5 hours)

• Look back to end of Week 11 and get caught up on the material from Lectures 24 and 25.


• Practice suggested homework problems from section 4.5.


• Carefully read and work through the notes for Lecture 26.

MTH 131-950 Week 11 (Apr 4 - Apr 10)

Before Thursday's class (5 hours)

• Quiz 8 is due April 7.


• If you haven't already done so, carefully read and work through the notes for Lecture 20 and Lecture 21.


• These videos will help you with the Lecture 20 material.
• Linearization


• If you haven't already done so, carefully read and work through the notes for Lecture 22.


• These videos will help you with the Lecture 22 material.
• Extreme values
• Absolute extrema


• Practice suggested homework problems from sections 4.1-4.3.

Thursday class (2 hours)

• We will catch up on the material from sections 4.2 and 4.3. Then we will discuss the 1st and 2nd derivative tests (Lecture 24 and 25).
  

After Thursday's class (5 hours)

• Briefly acquaint yourself with the material from Lecture 23.


• Carefully read and work through the notes for Lecture 24 and Lecture 25.


• These videos will help you with the Lecture 24 material.
• Determining intervals on which a function is increasing or decreasing
  
• Using the 1st derivative test


• These videos will help you with the Lecture 25 material.
• Determining concavity and inflection points graphically
  
• Determining concavity and inflection points analytically
• Using the 2nd derivative test
  


• Practice suggested homework problems from section 4.2, 4.3 and 4.5.


• Start preparing for Test 3, which is scheduled for April 14.
  


• Quiz 9 is due April 14.

MTH 131-950 Week 10 (Mar 28 - Apr 3)

Before Thursday's class (5 hours)

• Quiz 7 is due March 31.
  


• If you haven't already done so, carefully read and work through the notes for Lecture 20 and Lecture 21.


• These videos will help you with the Lecture 20 material.
• Linearization


• If you haven't already done so, carefully read and work through the notes for Lecture 22.


• These videos will help you with the Lecture 22 material.
• Extreme values
• Absolute extrema


• Practice suggested homework problems from sections 4.1-4.3.

Thursday class (2 hours)

• We will catch up on some examples from sections 3.9-4.3. Next we will briefly discuss Lecture 23 (section 4.4). Time permitting we will discuss the 1st and 2nd derivative tests (Lecture 24 and 25).
  

After Thursday's class (5 hours)

• Briefly acquaint yourself with the material from Lecture 23.


• Carefully read and work through the notes for Lecture 24 and Lecture 25.


• These videos will help you with the Lecture 24 material.
• Determining intervals on which a function is increasing or decreasing
  
• Using the 1st derivative test


• These videos will help you with the Lecture 25 material.
• Determining concavity and inflection points graphically
  
• Determining concavity and inflection points analytically
• Using the 2nd derivative test
  


• Practice suggested homework problems from section 4.2, 4.3 and 4.5.


• Quiz 8 is due April 7.

MTH 131-950 Week 9 (Mar 21 - Mar 27)

Before Thursday's class (4-5 hours)

• Briefly review Lectures 17 and 18.


• Carefully read and work through the Lecture 19 notes. (This material is difficult. Give it some time.)
  


• These videos will help with the Lecture 19 material.
  


• Look over the notes for Lecture 20 and Lecture 21.

Thursday class (2 hours)

• For the first 30-45 minutes, we will do some example problems from Lectures 17 and 18. Next we will discuss Lecture 19 and do a few examples. Finally, we will spend 15 min or so discussing linearizations and differentials (Lectures 20 and 21).


• Quiz 7 is due March 31.
  

After Thursday's class (5 hours)

• Carefully read and work through the notes for Lecture 20 and Lecture 21.


• These videos will help you with the Lecture 20 material.
• Linearization


• Carefully read and work through the notes for Lecture 22.


• These videos will help you with the Lecture 22 material.
• Extreme values
• Absolute extrema


• Practice suggested homework problems from section 4.1-4.3.


• Quiz 7 is due March 31.

MTH 131-950 Week 8 (Mar 7 - Mar 13)

Before Thursday's class (4-5 hours)

• The take-home portion of Quiz 6 is due March 10.


• Prepare for Test 2. Test 2 is in class on Thursday, March 10.
  • The test covers these weekly objectives. (The test covers the material from the notes for Lectures 10-16.)
    
  • The best thing you can do to prepare for the test is to practice lots of homework problems from sections 3.1-3.6 and 3.8.
  • You may use the trigonometry and derivatives handouts that were distributed in class, as long as you haven't written on them.
  • You may want to check out old archived tests and quizzes from Fall 2021. In particular, see Quiz 3, HW 2, HW 3, and Test 2.
  • You may want to check out old archived tests and quizzes from Spring 2021. In particular, see HW 2, Quiz 3, and Test 2.
  • You may want to check out old archived tests and quizzes from Fall 2020. In particular, see Quiz 4, Quiz 5, Quiz 6 (problems 1a,b), and Test 2.
  • Also for practice, look at these clicker problems and these. 
    

Thursday class (2 hours)

• The entire class time will be used for Test 2.

After Thursday's class (6 hours)

• Look back to end of Week 7 and work on the material involving Lectures 17 and 18.


• Practice suggested homework problems from chapter 3.


• Have a great spring break! As part of your great spring break, practice some calculus.

MTH 131-950 Week 7 (Feb 28 - Mar 6)

Before Thursday's class (4-5 hours)

• Quiz 5 is due March 3.


• Carefully read and work through the Lecture 15 and Lecture 16 notes.


• These videos will help you with the Lecture 15 and 16 material.
• Chain rule
• Chain rule misunderstandings
  
• Identifying composite functions
  
• Worked example
  
• Worked example
• Implicit differentiation


• Practice some of the suggested homework problems from sections 3.3-3.6 and 3.8.


• Read the Lecture 17 notes

Thursday's class (2 hours)

• We will continue our study of differentiation rules. This week's new rules will include those for inverse functions, exponential functions, and logarithmic functions.
  


• Quiz 6 has an in-class portion covering the chain rule. There is also a take-home portion.
  

After Thursday's class (4-5 hours)

• Read and work through the Lecture 17 and Lecture 18 notes.


• These videos will help you with the Lecture 17 and 18 material.
• Differentiating inverse functions
• Derivatives of inverse trig functions
• Worked example with logarithmic function
  
• More chain rule practice
  
• Differentiation using multiple rules
  
• Logarithmic differentiation


• Practice suggested homework problems from sections 3.6-3.9.


• The take-home portion of Quiz 6 is due March 10.


• Begin preparing for Test 2, which is scheduled for March 10.

MTH 131-950 Week 6 (Feb 21 - Feb 27)

Before Thursday's class (4-5 hours)

• Quiz 4 is due February 24.


• Carefully read and work through the Lecture 12 and Lecture 13 notes.


• These videos will help you with the Lecture 12 and 13 material.
• Applying the power rule
• Derivative rules
• More derivative rules
• Derivatives of sin(x), cos(x), exp(x), ln(x)
• Product rule
• Quotient rule
• Derivatives of tan(x) and cot(x)
  


• Practice some of the suggested homework problems from sections 3.3 and 3.5.


• Read or reread the Lecture 14 notes

Thursday face-to-face class (2 hours)

• We will study differentiation rules up through, and including, the chain rule. Time permitting, we will also discuss implicit differentiation.
  


• Quiz 5 is a take-home quiz. It is due March 3.

After Thursday's class (4-5 hours)

• Carefully read and work through the Lecture 15 and Lecture 16 notes.


• These videos will help you with the Lecture 15 and 16 material.
• Chain rule
• Chain rule misunderstandings
  
• Identifying composite functions
  
• Worked example
  
• Worked example
• Implicit differentiation


• Practice suggested homework problems from sections 3.3-3.6 and 3.8.


• Quiz 5 is a take-home quiz. It is due March 3.

MTH 131-950 Week 5 (Feb 14 - Feb 20)

Before Thursday's class (3-4 hours)

• Test 1 is open in Canvas and due by February 17, 12:30pm.


• Review the Lecture 10 and Lecture 11 notes. If you haven't watched the videos from the end of last week, please do so.
  


• Practice some of the suggested homework problems from sections 3.1-3.2.


• Come to Thursday's class with a good understanding of the idea of the derivative or have questions ready.

Thursday face-to-face class (2 hours)

• We will briefly review the concept of the derivative. Then we will begin to study basic differentiation rules.
  


• Quiz 4 is a take-home quiz. It is due February 24.

After Thursday's class (6 hours)

• Carefully read and work through the Lecture 12 and Lecture 13 notes.


• These videos will help you with the Lecture 12 and 13 material.
• Applying the power rule
• Derivative rules
• More derivative rules
• Derivatives of sin(x), cos(x), exp(x), ln(x)
• Product rule
• Quotient rule
• Derivatives of tan(x) and cot(x)
  


• Practice some of the suggested homework problems from sections 3.3 and 3.5.


• Read the Lecture 14 notes


• Quiz 4 is a take-home quiz. It is due February 24.

MTH 131-950 Week 4 (Feb 7 - Feb 13)

Before Thursday's class (3-4 hours)

• Quiz 3 is due by 12:30pm on Feb 10. The quiz is available in Canvas..


• Prepare for Test 1. Test 1 will open in Canvas at 2:10pm on Thursday, February 10. The test is due and will close at 12:30pm on February 17.
  • The test covers these weekly objectives.
  • The best thing you can do to prepare for the test is to practice lots of homework problems from sections 2.2-2.4.
  • You may want to check out old archived tests and quizzes from Fall 2021. In particular, see Quiz 1, Quiz 2, and Test 1.
  • You may want to check out old archived tests and quizzes from Spring 2021. In particular, see Quiz 1, Quiz 2, HW1, and Test 1.
  • Also for practice, go back and redo these clicker problems and these. 
    

Thursday class via Zoom (2 hours)

• We will review for the test. If time permits, we will begin our discussion of derivatives.
  

After Thursday's class (6 hours)

• Test 1 is open in Canvas. The test is due and will close at 12:30pm on February 17. If you well-prepared for the test, it should take you about 1.5 hours.
  


• Carefully read and work through the Lecture 10 notes.

MTH 131-950 Week 3 (Jan 31 - Feb 6)

Before Thursday's class (4-5 hours)

• Quiz 2 is due by 12:30pm on Feb 3. The quiz is available in Canvas.


• Practice the clicker problems associated with the Lecture 5 notes.


• Carefully read and work through the Lecture 7 notes.


• These videos will help you with the Lecture 7 material.
• Continuity at a point
• Types of discontinuities
• Continuity over an interval
• Removing discontinuities


• Carefully read and work through the Lecture 8 notes.


• These videos will help you with the Lecture 8 material.
• Infinite limits


• After reading the lecture notes, work on this worksheet in order to be prepared for class.

Thursday class via Zoom (2 hours)

• We will practice all types of limit problems. We will also discuss the formal definition of limit.


• Quiz 3 will be available in your Canvas course shell..

After Thursday's class (4-5 hours)

• Work some of the suggested homework problems from sections 2.2-2.5.


• Review all lecture notes for Lectures 1 through 9.


• Begin preparing for Test 1, which is scheduled for February 10.
  


• Complete Quiz 3. It's in Canvas and due by 12:30pm on Feb 10.

MTH 131-950 Week 2 (Jan 24 - Jan 30)

Before Thursday's class (2-3 hours)

• Quiz 1 is due by 12:30pm on Jan 27. The quiz is available in Canvas.
  


• Practice the clicker problems associated with the Lecture 3 notes.


• Carefully read and work through the Lecture 4 notes. The Khan Academy videos on "Limit properties" and "Limits by direct substitution" might be helpful.


• Skim through the lecture notes labeled Lecture 5 and Lecture 6. (There are some Khan Academy links in the "After Wednesday's class" section that you might want to preview.)
  


• After reading the lecture notes, work on this worksheet in order to be prepared for class.

Thursday class via Zoom (2 hours)

• We will discuss strategies for finding limits analytically. This material is in the notes labeled Lecture 4, Lecture 5, and Lecture 6.


• Quiz 2 will be available in your Canvas course shell.

After Thursday's class (6-7 hours)

• Carefully reread and work through the lecture notes labeled Lecture 5 and Lecture 6. The Khan Academy videos on "Limits using algebraic manipulation", "Strategy in finding limits", and "Squeeze theorem" might be helpful.


• Review Section 2.2 of our textbook. Skim through section 2.3 of our textbook.


• Work some of the suggested homework problems from section 2.3.


• Complete Quiz 2. It's in Canvas and due by 12:30pm on Feb 3.

MTH 131-950 Week 1 (Jan 18 - Jan 23)

Before Thursday's class (2-3 hours)

• Carefully read the syllabus and make note of your questions. You can find the syllabus on our class website or in the Canvas course shell.
  


• Read the statement on COVID-19.


• Explore the class website, the lecture notes page, and our Canvas course shell.


• Skim through the review material in the lecture notes labeled Lecture 1 and Lecture 2.


• Read the lecture notes labeled Lecture 3. This is the material we will discuss during Thursday's Zoom class.
  


• After reading the lecture notes, work on this worksheet in order to be prepared for class.
  

Thursday class via Zoom (2 hours)

• We will discuss the concept of limit and estimate limits graphically and numerically.


• Quiz 1 will be available in your Canvas course shell.
  

After Thursday's class (6-7 hours)

• Carefully reread and work through the Lecture 3 notes.


• Skim through section 2.2 of our textbook.


• Work some of the suggested homework problems from section 2.2.


• Complete Quiz 1. It's in Canvas and due by 12:30pm on Jan 27.
  


• Get a head start on next week by reading the Lecture 4 notes.