MAT128: Calculus A

Schedule and Assignments

Day Date Activity Assignment
Mon1/9 Welcome: Linear Things For next time:

  1. Please read Section 1.1 in our text, and
  2. carry out Preview Activity 1.1.1 (bring your work to class).
  3. You might want to read the authors' "Note to Students" as well. It contains important tips and ideas.

Wed1/11 Section 1.1: How do we measure velocity?
Mon1/16 Martin Luther King, Jr. Day  
Wed1/18 Section 1.2: The notion of limit Please read Section 1.3: The derivative of a function at a point, and carry out the preview exercise.

Also carry out the following two exercises: Section 1.1, #8; Section 1.2, #7.

Mon1/23 Section 1.2: The notion of limit Your "preview" for Wednesday is to "Explore" two of the "GeoGebra" examples mentioned in this section (there are questions at the end of each); these are the work of Marc Renault, at Shippensburg University:

  1. One-sided limits
  2. The Derivative at a Point

I'd like you to use Desmos in class next time (or something similar, so that you can do some graphing); bring a laptop or tablet, if you can.
Wed1/25 Section 1.3: The derivative of a function at a point For next time: read Section 1.4: The derivative function, and carry out the preview exercise.

Also carry out the following two exercises: Section 1.3, #7 and #8.

Mon1/30 Section 1.3/1.4: The derivative function  
Wed2/1 Section 1.4: The derivative function For next time: read Section 1.5: Interpreting, estimating, and using the derivative, and carry out the preview exercise.

You might try some of the activities, and exercises in the section, which you can "activate" in webwork.

You also have a new assignment on IMath.

Mon2/6 Section 1.5: Using the derivative For next time: read Section 1.6: the Second Derivative, and carry out the preview exercise.

Wed2/8 Section 1.6: The second derivative For next time:

  1. Read Section 1.7: Limits, Continuity, and Differentiability; come to class with questions, if there are things you don't understand. (We've covered most of this along the way).

  2. Read Section 1.8: The Tangent Line Approximation, and carry out the preview exercise.

Mon2/13 Section 1.8: The Tangent Line Approximation Read Section 1.8: The Tangent Line Approximation, and carry out the preview exercise.
Wed2/15 Section 1.8: The Tangent Line Approximation We're going to jump ahead to chapter 2 next time. Please read section 2.1 to prepare, and do the preview exercise.
Mon2/20 Section 2.1: Elementary derivative rules Read section 2.2 (derivatives of sines and cosines); do the preview
Wed2/22 Section 2.2: The sine and cosine functions Please complete your worksheets to help you to prepare for the exam.
Mon2/27 Review  
Wed3/1 Midterm Although we have already gone over both the product and quotient rules, you should read over Section 2.3: Product and Quotient Rules, just to make sure that you understand them.

Have a great Spring break!

Mon3/6 Spring Break  
Wed3/8 Spring Break  
Mon3/13 Section 2.4: Derivatives of other trigonometric functions For next time: Read section 2.5 (the Chain Rule), and carry out the preview.

You also have a couple of new IMath assignments.

Wed3/15 Section 2.5: The chain rule  
Mon3/20 Section 2.7: Derivatives of functions given implicitly Read section 2.7 Derivatives of Functions Given Implicitly, and carry out the preview.
Wed3/22 Covering Climate: the calculus of climate change  
Mon3/27 Implicit Differentiation For next time: please read section 2.6 (derivatives of inverse functions) to prepare, and do the preview exercise
Wed3/29 Section 2.6: Derivatives of Inverse Functions  
Mon4/3 Sections 2.8 and 3.2: Using Derivatives to Evaluate Limits and Curve Sketching Please read section 3.1 (Using derivatives to identify extreme values) to prepare, and do the preview exercise
Wed4/5 Section 3.1: Using derivatives to identify extreme values  
Mon4/10 Section 3.1, continued Please read section 3.5 (Related Rates) to prepare, and do the preview exercise.
Wed4/12 Section 3.5: Related Rates  
Mon4/17 Section 3.3: Global Optimization  
Wed4/19 Section 3.4: Applied Optimization  
Mon4/24 Antiderivatives  
Wed4/26 Review  
Mon5/1 Rest  
Wed5/3 (2:30pm) Comprehensive Final Exam