Calculus I – Mat 121 – Fall 2008

 

Syllabus:

 

Assignments:

August 27 – Discussed course syllabus and requirements.  READ THE HOMEWORK HINTS ON MY WEB PAGE. Began the discussion of Section 1.1 through page 4.  Homework:  Complete the “Exploration” exercises in the left margin of page 3.  Section 1.1 – 6, 9, 12-16, 18, 21, and 24.

September 3 – Took up homework.  Discussed symmetry, finding points of intersection, and regression.  Homework:  Section 1.1 – 19, 21, 25, 27, 31, 36, 46, 47, 55, 57, 58, 63, 65, 69, 71, 73 and 81-84.

September 8 – Returned Homework.  Discussed graphing linear equations and writing the equations of lines.   Homework:  Section 1.2. – 1-9 odd, 12, 15, 18, 23, 25, 26, 27, 31, 32, 36, 39, 43, 57, 59, 60, 70, 81, and the true false.  If you need to, work problems 49-56.  STUDENTS MUST KNOW THE VALUES OF ALL TRIG FUNCTIONS OF THE FAMILIAR ANGLES [0, 2] AND SHOULD IDENTIFY THE GRAPHS OF THE SIX TRIG FUNCTIONS.

September 10 – Quiz on homework.  Discussed definition of functions, kinds of functions and eight functions that students must know the domain and range of.  Homework:  DEFINE  real valued function of a real variable.     Students must know the graphs of the eight basic functions on page 22 as well as their domains and ranges.  Section 1.3 – 4, 5, 9, 10, 13, 18, 19, 20, 23, 24, 25, and 28.

September 15 – Quiz.  Returned the last quiz.  Discussed  kinds of functions, transformations of functions, even/odd functions, and composition of functions.  Reviewed data entry for regression.  Homework:  Section1.3 – 29, 31-37 odd 61, 63, 81-84.  Section 1.4 – 2, 12, 16,

September 17 – Dr. Travis substituted.  He discussed Section 1.5 and assigned homework problems.

September 22 – Discussed exponential and logarithmic functions as inverses of each other.  Discussed properties of logarithms, , and .  Students should know the graphs of the natural exponential and natural logarithmic functions including domains and ranges.  Homework:  1.6  - 1, 4, 5, 9-27 multiples of 3, 45-66 multiples of 3 and 71 – 87 odd.  TEST ON CHAPTER 1 IS OCTOBER 1.

September 24 – Quiz.  Answered homework question.  Discussed basic ideas of introduction for chapter 2.  Discussed Table function of the graphing calculator.  Homework – Section 2.2 1-10.

September 29 – Returned quiz.  Took up homework.  Discussed how to determine a “limit” from looking at a graph.  Made the formal definition of a limit.  Homework will be assigned after the test on Wednesday.

October 1 – Test on Chapter 1.  Homework:  Define:  limit (the  definition) Section 2.2 - 11-24 all, 25-29 odd.

October 6 – Returned tests and homework from Sept 29. Quiz.  Discussed meaning of the definition of limit and properties of limits.  Homework:  section 2.2 – 35, 36.  Section 2.3 – 1, 5, 9, 13, 17, 21, 25, 29, 33, 35, 37, 39.  Pencil in the second test for October 22.

October 8 – Quiz on Limits.  Discussed continuity .  Homework: Section 2.3 – 43-57 odd, 69-79 odd, 89, 91, 107, 109, 119-124.   Section 2.4 – Define: continuous at a point, 3-30 multiples of 3 39-52 – multiples of 3.

October 15 – Returned  quiz, gave a quiz.  Discussed “infinite limits” – Homework:  Section 2.4 – 56, 59, 65, 67, 69, 71, 73, 75, 83, 89, 91, 93 and Section 2.5 – 5-57 every other odd problem and 68, 73-76.

October 20 – Answered homework questions.  Discussed definition of derivative.  Test on Chapter 2 on Wednesday.

October 22 – Test – Homework:  Section 3-1 – Define Derivative, Problems 14, 17, 27 a, b, 33 and 81-86.  [HINT:  Let 27 help you work 33.]

October 27 – Quiz.   Discussed derivative formulas and the applications of “slope of a tangent line to a curve” and “velocity and acceleration”.  Returned the test.  Homework: Section 3.2 – KNOW the derivative formulas from the section. Problems 5 – 60 multiples of 5, 91, and 93.

October 29 – Discussed Derivative formulat for trig functions, product rule and quotient rule. Homework:  Section 3.2 – 53,83-88,89,91,94,96,103,106; Section 3.3 – KNOW THE NEW Derivative Rules – 5,,13,19,21,25,27,31,41,47,55,70,77,97,105,

November 3 – Quiz after homework questions.  Discussed Chain Rule & derivative of natural logarithm,  Homework:  Section 3.3 – 101,107, 133-138; Section 3.4 – 15-36 multiples of 3, 49, 57, 60, 66, 72, 101, 115.

November 5 – Discussed derivatives of any exponential function, any log function, and implicit differentiation.  Homework:  Section 3.3 – selected problems . . . on the board during class  and  Section 3.4 – 7,9,12,19.

November 10 – Discussed derivatives of inverse functions at a point, and the formulas for derivatives of the inverse trig functions.  Homework:  Section 3.3 – 25, 44, 59, 65, 67, 71.  Section 3.6 – 1,3 , 7, 9, 15, 19, 23, 25, 29

November 12 – Discussed rate of change problems.  Homework:  Section 3.6 – 45, 49; Section 3.7 – 3, 7, 18, 22, 27, 31, 33, 35, 43.

November 17 – Worked some homework problems.  Discussed Section 4.1 and Rolle’s Theorem. – Homework: Section 4.1 - 21, 23, 25, 27, 29, 33, 41. Section 4.2 – 11, 15, 21.  Test on Chapter 3 is November 24.

November 19 – Quiz on homework after questions were answered.  Discussed Mean Value Theorem and increasing and decreasing functions.  Homework for December 1:  Section 4.1  - 43, 45, 69-72; Section 4.2 – 42-51 odd; Section 4.3 – 17, 21, 25, 29, 33, 47.

November 24 – Test on Chapter 3

December 1 – Discussed concavity, inflection points and limits at infinity. Returned tests.  Homework:  11, 17, 19, 25, 27, 29, 37, 41, 47, 49, 53.

December 3 – Quiz.  Answered homework questions, discussed finding horizontal and slant asymptotes.  Homework:  Section 4.3 – 84, 87, 88; Section 4.4 – 67,79, 89-94; Section 4.5 18-36 multiples of 3, 34, 37, 38, 63, 69, 117 and 118.

December 8 -

December 10 -