Math
115 MWF 
Math
115 Enhanced MTWRF 
Monday, Section 4.3 Introduce the
concept of vertical and horizontal asymptotes from calculus perspective and
relate it to Precalculus background. Problems 1: Find asymptotes for a rational function. Review how to sketch
functions incorporating asymptotes. Problem 2: Sketch a polynomial function. Problem 3: Sketch a rational function. HW for Wednesday: 4.3: #2, 4, 8, 10,
16, 24, 28, 30, 38 Wednesday, Section 4.3 Review the concepts
introduced on Monday. Problem 4: Sketch a given rational function with two vertical asymptotes and a
horizontal asymptote. Problem 5: Sketch a function without explicitly knowing f(x),
just using information about the intercepts, key points, definitions of asymptotes,
and sign charts for the first and second derivative. HW for Friday: 4.3:
48,54,58,62,64,67,70 
Monday, Section 4.3 Introduce the
concept of vertical and horizontal asymptotes from calculus perspective and
relate it to Precalculus background. Problems 1: Find asymptotes for a rational function. Review how to sketch
functions incorporating asymptotes. Problem 2: Sketch a polynomial function. Problem 3: Sketch a rational function. HW for Wednesday: 4.3: #2, 4, 8, 10,
16, 24, 28, 30, 38 Tuesday, Section 4.3 Problem 4: Sketch a given rational function with two vertical asymptotes and a
horizontal asymtote. Problem 5: Sketch a function without explicitly knowing f(x),
just using information about the intercepts, key points, definitions of
asymptotes, and sign charts for the first and second derivative. Group Work 6: Have the class work in groups of three and
sketch a function without explicitly knowing f(x),
just using information about the intercepts, key points, definitions of
asymptotes, and sign charts for the first and second derivative. HW for Wednesday: 4.3:
48,54,56,58,62,64,67,70 Group Study after class for 1 hour. Wednesday, Section 4.4 Introduce the
concepts of absolute extreme. Examine graphs and determine absolute extrema. Discuss when we have
absolute extrema on a closed domain and how to find
these values. Problem 7: Find absolute extrema for a continuous
polynomial on a closed domain with at least one critical point outside the
domain. Problem 8: Find absolute extrema for a function with
an open domain. Group work 9: Have students find absolute extrema for a rational function that is continuous on a
specified closed domain. HW for Thursday: 4.4:
#4,6,8,10,12,14,16,26,29 Group Study after class for 1 hour. Thursday, Section 4.4 Problem 10 & 11: Two applications and word problems on
finding absolute extrema. Group work 12 & 13: Two application problems to find absolute extrema. HW for Friday: Chapter 4 Review:
#2,3,4,10,16,22 Study for Friday's
quiz on curve sketching. Group Study after class for 1 hour. 

