Homework for Calculus I September 21 – Students wrote homework on the board. Discussed the definition of a limit. Worked several examples using graphs and tables. Homework: DEFINE LIMIT (the epsilon – delta one). Section 2.2 – 7,11, 13, 17 – 23 odd, 25, 29. Test is tentatively moved to Monday – October 28 – we will vote again on Wednesday. September 18 – Returned the quiz from last time. Discussed: solving exponential equations, logarithmic equations and equations using trig or inverse trig functions. Discussed making a table to find a “limit”. Homework: Section 1.5 – 117, 119, 127, 128; Section 1.6 – 9, 11, 15, 19, 21, 107, 109; Section 2.1 – 4 and 5; and Section 2.2 – 1-6. September 16 – Returned the “do over” quiz on definition. Quiz on inverse trig functions. Discussed exponential functions and their inverse (logarithmic) functions. Homework; Memorize the domain and range of the natural exponential and the natural log function as well as the shape of the graph of each. Section 1.5 – 141 – 146 and Section 1.6 – 25 – 28 and 31- 35, 39, 40, 89 – 107 odd. September 14 – Discussed the inverse trig functions, domains and ranges. Homework: Students must MEMORIZE: the value of the familiar angles of all the trig functions as well as the domains and ranges of each and the domains and ranges of the inverse functions. Homework: Section1.5 – 59,61, 73, 75, 77,87 – 96 all, 111, 113, and 115. Earliest possible test date is probably September 25. September 11 – “redo” of definition of function quiz. Discussed what an inverse function is and how to find the rule for it if the function is algebraic. Began the discussion of the inverse trig functions. Homework: Section 1.5 – 1, 5, 7, 9-12 27, 33, 37, 48 (consider the piecewise version of the function.), 73, 76, 87,and 96. September 9 – Returned quiz. Collected information about students. Discussed: types of functions; even and odd functions; and composition of functions. Homework: Be sure you have memorized what you have been assigned previously. Section 1.3 – 61, 63, 65, 71, and 77. Section 1.4 – 3, 7, 10. September 4 - quiz on the definition of function. Discussed eight functions (p22). Discussed vertical and horizontal translations. Homework: Memorize the domain and range of each of the functions on 22. Memorize how to recognize a vertical or horizontal translation of one of those eight functions. Section1.3 – 7, 8, 12, 18, 22, 51 – 54, 55 – 60. September 2 – Reviewed the names of sets (Natural, Whole, Integer, Rational, Irrational, and Read numbers) Defined a real-valued function of a real variable. Discussed finding domains and ranges of functions as well as evaluation of functions. Homework: Read Section 1.3. DEFINE (be prepared to write the definition of ) a real-valued function of a real variable. Section 1.3 – 3, 6, 9, 11, 15, 17, 20, 25, 29, 31. August 31 – Returned homework. Discussed: finding points of intersection with and without the calculator; regression analysis; and equations of lines (page 14.) Homework: Section 1.1 – 57, 61, 63, 66, 67. Section 1.2 - 17, 20, 21, 23, 27, 38, 43, 57, 63, 67, 79 and 93 - 96. August 28 – Returned the quiz. Collected the homework. Discussed symmetry and writing the equation of a line. Homework: READ section 1.1!!! Exercises 1.1 – 27, 31, 35, 45, 49, 53, and 57. August 26 – Quiz on the syllabus. Discussed the syllabus, intercepts of a function, sketching by point plotting, and setting a graphing window. Homework: Exploration on page 3 – Students with last names A – L work a, c, and e; Students with last names M – Z work b, d, and f parts. Section 1.1 page 8 – problems 7, 11, 14, 19, 23, 25