MAT 191-04 Calendar Spring 2012

Updated Sun Jan 29 15:50:30 PST 2012

Please check this page frequently for updates and changes. You may need to press the "refresh" button on your browser to download the most recent version.

Below is an approximate schedule. I may have to move some things as we go along.

Most homework problems are on Webwork Please check the WeBWorK site frequently for new assignments: http://math.csudh.edu/webwork2/

Main section numbers below refer to to the official textbook Essential Calculus by J. Stewart.

• CA = Calculus for the Life Sciences: a Modeling Approach by Cornette and Ackerman
• G = Calculus (aka "Whitman Calculus") by Guichard.

Calendar

• 1st Week: Jan. 23 - 27
  • What is calculus about?
  • 1.1, 1.2 Functions.
  • Optional:
    • CA 2.2-4, 2.6.1, 2.7, 2.8, 7.1
    • G 1.3, 4.1
  • 1.3 The Limit of a Function.
  • Optional:
    • CA 3.1, 3.2
    • G 2.3, 4.10
• 2nd Week: Jan. 30 - Feb. 3
  • 1.3 (cont.)
  • 1.4 Calculating limits.
  • Optional:
    • CA 3.2
  • 1.5 Continuity.
  • Optional:
    • CA 4.1
    • G 2.5
  • Paper and pencil homework: Write up nice solutions to problem 1.4 # 56 and 1.5 # 42 on paper and turn them in next Monday in class.
• 3rd Week: Feb. 6 - 10
  • 1.6 Limits involving infinity. WeBWorK assignment.
  • Optional:
    • CA 3.7
  • Chapter 1 Test Wednesday Feb. 8 Solutions
  • 2.1 Derivatives and Rate of Change
  • Optional:
    • CA 3.1, 3.6
    • G 2.1, 2.2
  • Start 2.2 Derivative as a Function. WeBWorK assignments.
  • Optional:
    • CA 3.6, 7.2
    • G 2.4
• 4th Week: Feb. 13 - 17
  • Finish 2.2 Derivative as a Function.
  • 2.3 Basic Differentiation Formulas. WeBWorK assignments.
  • Optional:
    • CA 3.3, 3.5.1, 4.2,
    • G 3.1, 3.2, 4.2-4.4
  • 2.4 Product and Quotient Rules. WeBWorK assignment.
  • Optional:
    • CA 6.1
    • G 3.3, 3.4, 4.5
• 5th Week: Feb. 20 - 24
  • Presidents' Day Holiday Monday Feb. 20
  • 2.5 Chain Rule. WeBWorK assignment.
  • Optional:
    • CA 4.1, 4.3, 6.2, 7.3
    • G 3.5
  • 2.6 Implicit Differentiation. In the computer lab on Friday we plotted some equations using the Mathematica computer package that you can use in our student labs. (It may be called Wolfram Mathematica in the labs.). Here are some notes with a few examples: notes. To execute a command in Mathematica start the program, open a "notebook", type in the command, then hold down the "shift" key while you press the "enter" key. Here is the notebook that produced the notes; it has the commands already typed in along with the text and graphics from the notes notebook.
  • Optional:
    • CA 4.6
    • G 4.8
• 6th Week: Feb. 27 - Mar. 2
  • Paper and pencil homework: write up section 2.6 exercise 18 (p. 125), and section 2.7 exercise 38 (p. 133) nicely and turn them in on Monday March 5.
  • 2.7 Related Rates
  • Optional:
    • CA 8.4
    • G 6.2
  • 2.8 Linear Approximations and Differentials
• 7th Week: Mar. 5 - 9
  • Chapter 2 Test Monday Mar. 5 Solutions
  • 3.1 Maximum and Minimum Values
  • Optional:
    • CA 4.5, 8.1, 8.2
    • G 5.1, 5.2, 5.3
  • 3.2 Mean Value Theorem
  • Optional:
    • CA 9.1, 9.2
• 8th Week: Mar. 12 - 16
  • 3.3 Derivatives and the Shapes of Graphs. Homework: in text, 3.2 #7, 12, 17, 32. Due next Wednesday (on paper).
  • Optional:
    • CA 9.2
    • G 5.4, 5.5
  • 3.4 Curve Sketching
• 9th Week: Mar. 19 - 23
  • 3.5 Optimization Problems
  • Optional:
    • CA 4.5
    • 6.1
  • 3.6 Newton's Method
  • Optional:
    • CA 8.5
    • G 6.3
  • Dr. Pong's review notes
• Spring Break Mar. 26 - 30
• 10th Week: Apr. 2 - 6
  • Chapter 3 Test. postponed to Wednesday Apr. 4 Solutions
  • 3.7 Antiderivatives
• 11th Week: Apr. 9 - 13
  • 4.1 Areas and Distances
  • 4.2 The Definite Integral
  • Optional:
    • CA 11.1-11.3
    • G 7.1
  • 4.3 Evaluating Definite Integrals
  • Optional:
    • CA 11.4, 11.5
• 12th Week: Apr. 16 - 20
  • 4.4 Fundamental Theorem of Calculus
  • Optional:
    • CA 12.1, 12.2, 12,4, 12.5
    • G 7.2
  • 4.5 The Substitution Rule
  • Optional:
    • G 8.1
• 13th Week: Apr. 23 - 27
  • Chapter 4 Test Monday Apr. 23 Solutions
  • 5.1 Inverse Functions
  • Optional:
    • CA 2.6, 6.3
  • 5.2 Natural Logarithm Function
• 14th Week: Apr. 30 - May 4
  • 5.3 Natural Exponential Function
  • Optional:
    • CA 5.1-5.4
    • G 4.6, 4.7
  • 5.4 General Logarithm and Exponential Functions
  • Optional:
    • CA 5.1-5.4
  • 5.5 Exponential Growth and Decay
  • Optional:
    • CA 5.1-5.4
• 15th Week: May 7 - 11
  • 5.6 Inverse Trigonometric Functions
  • Optional:
    • G 4.9
  • (Skip 5.7 Hyperbolic Functions)
  • Optional:
    • G 4.11
  • 5.8 L'Hospital's Rule
  • Review for final exam.
• Final exams week: May 14 - 18
  • Final Exam Monday May 14 4-6pm in NSM C213