MAC 2233 Extended Calculus for Business graphing calculator version Departmental Syllabus revised summer 2009 by Mike Rosenthal This course meets for twice as many hours per week as our standard Calculus for Business course and includes some review of College Algebra topics The extra time will also allow you to teach the material more slowly and include reviews before each test Despite the review material the prerequisite for this course is a C or higher in College Algebra or Precalculus or a 72 or higher on the State of Florida s College Level Math Placement Exam Textbook Calculus Concepts 4th edition by Latorre Kenelly Reed et al Required technology One section of this course will use FIU supplied TI 92 calculators In the other sections students must supply their own graphing calculator Students should be encouraged to purchase a TI 83 TI 83 plus or TI 84 plus all essentially the same calculator Students who own other models should not expect the instructor to provide instruction on how to use the calculator Required topics Sections 1 1 1 5 You may omit discussion of inverse functions and logarithmic models from 1 3 Since we omit logarithmic regression be careful not to assign problems later in the text that require this type of regression Many life science applications appear in this chapter Nonbusiness applications should be omitted here and later in the course as well We are required to teach limits of exponential functions You can do this by asking students to find the limits as x and x for problems 1 4 in section 1 3 Cover the limit notion quickly Hopefully it will help students when they revisit the concept during the introduction of the derivative As an alternative you may assign the limit problems posted at http www fiu edu rosentha MAC2233 2233Limits pdf Chapter 2 Cover sections 2 1 2 4 Before starting section 2 4 review how to calculate powers of x h combining like terms and dividing polynomials by h In section 2 4 the only mandatory topic is the limit definition of a derivative Chapter 3 Cover sections 3 2 3 5 Review adding and subtracting functions prior to teaching section 3 5 Review composition of functions before teaching the chain rule in 3 4 Review products and quotients of functions before teaching 3 5 OVER Chapter 4 Cover sections 4 1 4 3 Chapter 5 Cover sections 5 1 5 5 Section 5 1 is a good place to introduce piecewise functions if not previously covered In section 5 5 only average value of a function is mandatory Chapter 6 Cover the non biology applications in section 6 2 The non TI 92 classes can omit the discrete streams Also cover section 6 3 Sections 9 1 9 2 9 3 and 10 2 Cover just enough multivariable material to be able to do some optimization problems in section 10 2 You do not have to cover contour curves in section 9 1 or finding critical points using matrices in section 10 2 Review systems of equations before teaching 10 2 You may teach this material the same way they do in the non graphing calculator version of this course If you wish you may assign homework problems from a non graphing calculator text THIS MATERIAL IS NOT OPTIONAL AND YOU MUST GET THROUGH MULTIVARIABLE OPTIMIZATION You may wish to cover chapters 9 10 before chapter 6 so as to guarantee that it is covered in its entirety Remember that students can store formulas in their calculators so we cannot test memorization Here is a suggested pacing for 48 75 minute lectures that will allow for six tests not counting the final exam in all but summer semesters Those teaching in a 50 minute lecture format can multiply the numbers below by 1 5 Chapter 1 7 lectures Test 1 Chapter 2 7 lectures Test 2 Chapter 3 7 lectures Test 3 Chapter 4 4 lectures Test 4 this test can be given after section 5 2 if you wish Chapter 5 8 lectures Test 5 Chapter 6 4 lectures Chapter 9 3 lectures Chapter 10 2 lectures Test 6 this test may be given after chapter 9 if you wish Cumulative Final Exam must count a minimum of 25 of the final grade