Math 140 Homework and Class Preparation Schedule

• Read the course syllabus
• Watch the PenCasts on Functions and Linear Functions
• Read our course text Applied Calculus, Sections 1.1-1.2
• In 1.1 do problems 4, 6
• In 1.2 do problems 2, 6
• Logon to Webwork and start working on the assigned Webwork Orientation set.

• Discuss Syllabus
• What is modeling?
• 1.1 What is a function?
• 1.2 Linear functions & slope
• How do we find the equation of a line? slope intercept form, slope point form
• How do we recognizing linear data in a table?
• Webwork Orientation Set due Monday night.
• Webwork on Sections 1.1 & 1.2 due Wednesday night.

• Watch the PenCasts on Power Functions and Proportionality and Exponential Functions
• Read Applied Calculus, Sections 1.9 and 1.5 with an eye towards the questions that will be discussed in class
• In 1.9 do problems 6, 14
• In 1.5 do problems 2, 4
• Read Start R in Calculus, Introduction & Ch 1 while working through the practice problems on the computer

• What does "proportional" mean? How is "proportional" different "inversely proportional"?
• What are power functions? What does the graph of a power function look like?
• How are power functions different from exponential functions?
• How can you recognize exponential data in a table or graph?
• How do you find the formula for an exponential function through two points?
• Some Webwork due Wednesday night and some is due Sunday night.

• Watch the PenCasts on Natural Logarithm and exponential decay and growth
• Read AC 1.6-1.7
• In 1.6 do problems 6, 21
• In 1.7 do problems 2, 4
• Read Start R Section 2.1 while working through the practice problems on the computer

• Why learn about natural logs?
• Where do the properties of log functions come from? How do we use these properties to solve problems?
• How do we model scenarios involving "doubling time", "half-life", or "continually compounded interest"?
• Webwork on Sections 1.6 & 1.7 due Sunday night.

• Watch the PenCast Periodic Functions
• MLK Celebration (no afternoon classes)
• Professor Seaders's class meets as scheduled in the morning
• Professor Johnson's class does not meet

• Worksheet on half-life and exponential growth (Seaders class only)
• Webwork due Wednesday night.

• Watch the PenCast Periodic Functions
• Read AC Sections 1.10, 9.1 & 9.2
• In 1.10 do problems 2, 8
• In 9.1 do problem 1
• In 9.2 do problem 1
• Read Start R Section 2.2 while working through the practice problems on the computer

• What are periodic functions?
• Given a periodic graph, what is the amplitude? the period? the vertical shift? Does it look like a sine or cosine graph?
• Given data or a description of a quantity that oscillates, find a sine or cosine equation model.
• Understanding functions of two variables
• tables and contour diagrams for two variable functions
• Worksheet on contour plots
• Some Webwork due Wednesday night and some is due Sunday night.

• Read AC 9.1 & 9.2
• In 9.1 do problem 2
• In 9.2 do problem 6
• Read Start R Section 2.3 & 2.4 while working through the practice problems on the computer

• Understanding functions of two variables
• tables for two variable functions
• contour diagrams and slices for two variable functions
• Webwork due Sunday night.

• write your note page for Group Exam 1
• your note page will be turned in with your exam

• Group Exam 1
• Webwork due Wednesday night.

• Watch the PenCast on Introducing Units and Dimension 
• Carefully read a Quick Note on Units and Dimension by Kaplan (posted on WISE).

• More examples of units and dimensions
• unit conversion worksheet
• efficiency of energy production from growing corn
• Some Webwork due Wednesday night and some is due Sunday night.

• Watch the two pencasts on Dimensional Analysis, one and two
• Skim example 1 and carefully read example 2 in Dimensions as Products by Giordano and Weir (posted on WISE).
• Watch the video on dimensional analysis and the atomic bomb

• Buckingham Pi Theorem and examples (pendulum, energy of atomic bomb)
• Webwork due Sunday night.

• Review the two PenCasts on Buckingham Pi and dimensional analysis, one and two 
• Work on Project 1 with your group members
• Prof. Seaders class review the video on dimensional analysis and the atomic bomb

• Another Buckingham Pi example
• Webwork due Wednesday night.

• Read Chapter 2 of Frontiers of Science - Scientific Habits of Mind: "Discoveries on the Back of the Envelope" (posted on WISE)
• Work on Project 1 with your group members

• Fermi problems worksheet
• Some Webwork due Wednesday night and some is due Sunday night.

•     CLASSES CANCELED DUE TO WEATHER!  
• Work on Fermi problems worksheet
• Work on Project 1 with your group members
• start studying for the midterm exam next week

• Fermi problems
• Webwork due Sunday night.

• Work on Fermi problems worksheet
• Work on Project 1 with your group members
• start studying for the midterm exam

• finish Fermi problems
• feedback on Project 1
• Webwork due Thursday night (b/c of exam Wednesday night).

• Read Chapters 1 & 2 of the Linear Algebra Reader (posted on WISE) and do the check your understanding exercises.
• Watch the PenCast on Vectors
• Work on Project 1 with your group members
• study for the midterm exam

• lines and curves of best fit, least squares approximation
• Intro to vectors, vector addition & scalar multiplication, and linear combinations
•  
• Midterm Exam 1, 7-9pm
• Webwork due Thursday night!

• Read pages 7-20 in Chapters 3 & 4 of the Linear Algebra Reader  
• ?Watch the PenCast on Linear Equations
• Do the exercises 1, 2 in Section 3.4 of the Linear Algebra Reader.

• linear equations can be viewed as equations involving linear combinations of vectors.  This simple observation brings important insight and proves to be very useful!
• dot product, length of a vector, and the angle between vectors
• definition of orthogonal vectors
• Webwork due Sunday night. 

Mon 2/17

• Read the rest of Chapters 4 and through Section 5.3 of Chapter 5 in the Linear Algebra Reader
• Do the exercises 1, 2, and 4 in Section 4.5 and exercises 1, 2  in Section 5.7 of the Linear Algebra Reader.
• work on Project 1 analysis, introduction, and conclusion.  bring your new draft to class Monday!

• geometry of linear combinations of vectors and understanding span 
• linear independence and redundant vectors 
• understanding projection: the formula and the picture
• more feedback on Project 1

Wed 2/19

• Read the rest of Chapter 5 in the Linear Algebra Reader
• Watch the Pencast on Vector Projection and Curve Fitting
• Try problem 6 in Section 5.7 of the Linear Algebra Reader 
• Read Section 4.1 in Start R manual
• Finish Project 1, due  Feb 21.

• using projection to calculate line of best fit
• projecting a vector on to a plane (by hand)
• Webwork due Wednesday night
   

Fri 2/21

• Finish problem 6 in Section 5.7 
• Read Section 4.2 in Start R manual 
• Finish Project 1, due  Feb 21.

• non-linear curves of best fit
• using RStudio project command
• Webwork due Sunday night (postponed to Monday night)

Mon 2/24

• Watch the Pencast on Average Rate of Change and Instantaneous Rate of Change
• Read our course text Applied Calculus, Sections 1.3, 2.1, 2.2
• In Section 1.3, do problem 15
• In Section 2.1, do problem 6
• In Section 2.2, do problem 3

• Finish projection examples.  What happens when you project onto dependent vectors.
• What is instantaneous rate of change?  
• What does it mean graphically?
• How is instantaneous rate of change approximated from a table of values? from a graph?
• Webwork due Sunday night (postponed to Monday night)

Wed 2/26

• Watch the Pencast on Derivative and Interpreting the Derivative
• Read Applied Calculus, Sections 2.3, 2.4
• In Section 2.3, do problem 5

• Worksheet on sketching graph of derivative and second derivative.
• Interpreting the derivative. 
• Webwork due Wednesday night

Fri 2/28

• Read Applied Calculus, Sections 2.5, 9.3
• In Section 9.3, do problem 8b (see example 2)
• Read the article "Change we can believe in"  posted on WISE.

• relationship between first and second derivative and graph of the function 
• partial derivatives 
• Webwork due Sunday night
• Prof Seaders's class must finish the assigned worksheet.

• Watch Pencast on Derivative of Polynomials
• Read AC  9.3 again
• Read AC  3.1

• more on partial derivatives: calculation and approximation
• how do we calculate the derivative of polynomial functions?
• Webwork due Wednesday night
   

• Watch Pencasts  for Exponential & Logs, and the Chain Rule
• Read AC 3.2 & 3.3

• How do we calculate the derivative of an exponential or log function?
• How do we calculate the derivative of a composition of two functions?
• Applications
• Webwork due Wednesday night

• Watch Pencasts for Product Rule & derivative of periodic functions
• Read AC 3.4 & 3.5

• How do we calculate the derivative of the product of two functions?  the quotient of two functions? 
• How do we calculate the derivative of a periodic function?
• Applications
• Webwork due Sunday night (Note: it is better to work on this webwork for shorter periods over several sessions rather than one long session Sunday night)

• Watch Pencast for Partial derivatives
• Read Section 9.4
• Read Chapter 5 in Start R (available on WISE)

• What are the rules for calculating partial derivatives?
• Can we use RStudio to calculate derivatives
• Start Accumulation for a velocity function
• Webwork due Wednesday night

• prepare for Group Exam #2 by studying and writing up a page of notes
• this group exam will include problems on
  • linear algebra and curves of best fit from LAR Chapters 1-5
  • differentiation interpretations, calculations, and applications from AC Sections 1.3, 2.1-2.5, 9.3, 3.1-3.5, and 9.4
  • RStudio questions from Start R Ch 4 and 5.

• Group Exam 2

• Read AC Section 5.1
• Read AC Section 5.2

• How do we measure distance traveled when rate is not constant?
• What are Riemann sums and how do we evaluate or approximate a definite integral?
• web-site for visual found at www.cut-the-knot.org/Curriculum/Calculus/RiemannSums.html
• Project 2 assigned
• Webwork due Sunday night   

Mon 3/17  

• Read AC Section 5.3
• Read AC Section 5.4
• work on Project 2, first check-in on Friday 3/21

• hot air balloon worksheet in class
• Webwork due Wednesday night

Wed 3/19 

• Read AC Section 5.5
• Read Strogatz, "It Slices, It Dices" (On WISE
• continue working on Project 2, first check-in on Friday 3/21

• Total Change Theorem
• Webwork due Sunday night

Fri 3/21 

• Read AC Section 4.7
• Read Start R in Calculus, Chapter 6

• Project 2, 1st checkin - prepare model, narrative explaining modeling process, graph of data and model.
• summary of integrals - definition, visual interpretation, how to approximate.
• Logistic functions

• Read AC Sections 4.8 & 4.1
• Study for Midterm Exam

• Surge functions and critical points

• Review
• study for Midterm Exam

• catch up & review    
• Midterm Exam 1, 7-9pm (Seaders-Smullin B17, Johnson-Ford 102)
• Webwork due Thursday night!

• Read AC Sections 4.3 & 9.5
• Work on Project 2

• Optimization of single and multivariable functions.
• Webwork due Sunday night

• Read AC 10.1
• Work on Project 2

• finish optimization
• finding anti-derivatives
• introducing differential equations
• Webwork due Wednesday night

• Read AC 10.2
• Bring two printed copies of a finished first draft of the project to class. 
• ​Watch pen casts, Introducing Differential Equations

• setting up differential equations
• numerical solutions to differential equations
• Last 15 minutes of class: Project 2, check-in #2 and peer-review.  
• Webwork due Wednesday night

• Read  AC 10.3
• ​Watch pen cast Confirming Solutions to DEs

• finish Section 10.2
• Slope fields & estimating solutions
• worksheet on slope fields 

• Read AC 10.4

• PROJECT 2 DUE Monday, April 14 at 4:00pm*
  (deadline changed from the date stated on the prompt)
• solving the differential equation dP/dt = kP

• SSRD, no classes

• SSRD, no classes 

• Read AC 10.5

• solving the differential equation dW/dt = k(W-a)
• stable and unstable equilibrium solutions

• Read AC 10.6
• Read the article "Loves Me, Loves Me Not" by Strogatz
• hmm, reading quiz??

• Modeling two interacting populations

• prepare for Group Exam

• Group Exam 3

• Read AC 10.7
• Skim the article "Dynamical Models of Love" by Sprott

• Modeling the spread of a disease

• Study for Final Exam

• Review for Final Exam

• Friday, May 2, 2-5pm.  Final Exam for Professor Johnson's 12:40 section of Math 140

• Monday, May 5, 8-11am, Final Exam for Professor Seaders' 9:10 section of Math 140

• Monday, May 5, 2-5pm, Final Exam for Professor Johnson's 1:50 section of Math 140

• Tuesday, May 6, 8-11am, Final Exam for Professor Seaders' 10:20 section of Math 140